diff --git "a/data/dm_maths/full_data/10728_11255.jsonl" "b/data/dm_maths/full_data/10728_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10728_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -11 - -8. Let u = 2.5 - 2. Let q be (-1 + 0)*(-4)\/24*-6. Which is the closest to 0? (a) f (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-4)*392\/(-504)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/((-5)\/1) - 0. Suppose -30*y - 47*y**4 - 352*y**2 - 18*y - 2592*y**3 + 2187*y**5 - 2869*y**4 - 272*y**v = 0. Calculate y.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 1 + 20. Let w(h) = -h**2 - 9*h + 7. Let y be w(f). Suppose 5*b = y + 9. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 18}. What is prob of picking 1 m and 1 c?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 + 10*h + 7. Let c be b(-5). Suppose 128 = -r + c. Solve 7*g = r*g - 5*v + 27, 5*g - 8 = 4*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.8 + 27.4. What is the closest to -0.13 in 4, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 + 4*j + 3. Let n be w(-2). Suppose 2*o + 6*k - 61 = n*k, -2*k - 82 = -4*o. Suppose -4 = -3*p + o. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313055 by -62611.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*(-27)\/54?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b*b**(1\/24))\/((b**2\/b)\/b**(-1\/6)) assuming b is positive.\nAnswer: b**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:56 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 26*c**2 + 22*c + 46. What is the hundreds digit of l(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 14) to base 9.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*k + 13 = 0, -4*o - 14 = 3*k - 27. Factor 4\/3*j**3 + 0*j - 4\/3*j**o + 4\/9*j**5 + 0 - 4\/9*j**2.\nAnswer: 4*j**2*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 1030*j**3 + 6126*j**2 - 9162*j.\nAnswer: 2*j*(j - 509)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110539705?\nAnswer: 5, 22107941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -160*p + 156*p + 10, 0 = -k + 3*p - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76808 is divided by 1097.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1*-2*98\/(-245)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/115 (b) 403 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1473 + -424. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132, -264, -400, -546, -708?\n\"Answer: -p**3 + 4*p**2 - 137*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liililinny. Give prob of sequence ii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448 divided by 68.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**8\/10080 - d**7\/2520 + 29*d**5\/60 - 17*d**2. Let a(q) be the third derivative of k(q). Solve a(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let p(y) = -3*y. Let k(m) = 9*h(m) + 2*p(m). Let t(a) = 5*a. Let s = 3 - 1. Suppose -1 = s*b + 7. Determine b*t(d) + 7*k(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -31\/307, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1267 by -25.\nAnswer: -1267\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -256915.4 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 188\/(-28). Suppose -j*m + 2*m + 60000 = 0. What is m rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {p: 1, s: 1, m: 1, r: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 - 77509*x**3 - 2*x**2 + 83550*x wrt x?\nAnswer: 60*x**2 - 465054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m - 4*m)*(3 - 4 + 5)*(-4 + 1 + 5)*(3 - 4 + 0).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221794135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 18 = 5*y. Suppose 8 + y = 5*v. Is ((-7)\/21)\/(0 + v\/(-4311)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 13*b**2 + 2*b + 8. Suppose -5*l + 5*r + 15 = -5, 5*l + 3*r = 36. Is 14 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 - 19539*j**4 + 31882506*j**3 - 221265642*j**2 - 1556628813*j + 1746031485 = 0.\nAnswer: -5, 1, 11, 3253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/100 + 5*y**4\/8 - 124*y**2 - y. What is p in s(p) = 0?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1635\/(-327))\/(-15*(-115)\/30)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.274 and 0.1.\nAnswer: 0.0274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411814947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25*x**2 - 11*x - 3 + 2*x + 6*x + 3*x. Let j(n) = 2*n**2. What is j(z(o))?\nAnswer: 1250*o**4 - 300*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*w + 42. Suppose -4*v + w*v = -8. Let b = 33 + v. Solve -b + 4 = 5*i, -3*a + 2*i = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29888803367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 10100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 5*v - 13*v**3 + 2*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/5 - 33*l**4\/8 + 4*l**3 + 66*l**2. Let v(w) = 0. What is w?\nAnswer: 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/4 - 2*o**3 + o**2\/2 + 5*o - 1. Let y be r(-6). Is 4 a factor of 0 - y - (-15)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*p + p. Let c(f) = -2*f - 8. Let i be c(6). Is 5 a factor of i\/3*15\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252725 rounded to 3 dps?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppu when three letters picked without replacement from uupuiqupiuuii.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 649 and 676376.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/50167650 and 37\/11874?\nAnswer: 50167650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10635 and 21655144.\nAnswer: 21665779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 20 - 11 - s**2 + 0*s**2. Let h(o) = -5*o**2 + 35. Let u(x) = 4*h(x) - 15*y(x). What is the first derivative of u(g) wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-14))\/(0 + 2\/(-4)). Suppose 0 = -5*z - 3*a + 2, 5*a + 0*a - 18 = -z. Sort i, z, 2.\nAnswer: i, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from lxreeoxxsxelxsessess.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1883345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -17*r + 61. Determine b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -2.232?\nAnswer: 4.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2152 * -2.339.\nAnswer: 5033.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/243 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 10*c**2 + c - 12. Let l be z(10). Let k(w) = 6*w**2 + 6*w + 14. Let d be k(l). Calculate the greatest common factor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 + -5 + -4 - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + 5*a**2 + 8*a**2 + 12*a**2 - 29*a**2. Let o(f) = f**2. Calculate s(o(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -2*i**3\/3 - 7*i - 5. Let q(j) = -236*j. Determine q(o(x)).\nAnswer: 944*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5467051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263218826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from kxkvavsskfs.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5065, 10214, 15387, 20590, 25829, 31110, 36439, 41822?\n\"Answer: z**3 + 6*z**2 + 5124*z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -5, 5, 2\/15, 1\/2, 1.6594?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:24 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7198.26 to the nearest integer.\nAnswer: 7198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 171 + 63. Let s = 329 - 488. Let w = k - s. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.9 (b) -13\/2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*b - 1446*b + 102 + 42 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -267*c - 194*c - 164*c + 1 - 275*c as q + t*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 36*f. Calculate c(35).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459264 and 599196?\nAnswer: 76697088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82078528 and 6174.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*m - 11*m**3 + 468*m - 3*m**3 - 2*m**3.\nAnswer: -16*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m + 20. Let f(b) = -7*b - 13. Determine 8*f(l) + 5*q(l).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*l + 2*t, -t = -l - 6*t - 11. Solve -3*a = -4*a - l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 2*r - 3. Let i = 43 + -41. Determine t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.36 in -3\/8, -2\/17, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-93)\/(-2) - 2\/8*-2. Let p = v - 50. Let m be (p - (-20)\/5)*1. Which is bigger: m or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457425 is divided by 1535.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let u = -0.092 - 0.008. Which is the closest to o? (a) u (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*u**4 + h*u**3 - 1844*h*u - 3*u**4 + 19*u**3 - u**2 + u - 2 wrt u?\nAnswer: -96*h*u + 6*h - 72*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65454, 124310, 183166, 242022, 300878, 359734?\nAnswer: 418590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, -4, 1, -216.\nAnswer: -216, -4, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(9\/4). Let o be 5\/1*(-39831)\/(-935) - (1 - -1). Which is the third smallest value? (a) o (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14417481995.560023 - 14417474359. Let l = c - 7636.9. Let t = -0.34 - l. What is t rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/v*v**(2\/19)*v assuming v is positive.\nAnswer: v**(306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 237042906 to the nearest 1000000.\nAnswer: 237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5520655.\nAnswer: 5, 7, 157733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.8 + 11. What is the second biggest value in -0.12, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 2*t**5\/75 - t**4\/60 + t**2. Factor o(d).\nAnswer: 2*d*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 - 5 + 4*g**2 - 7*g + 5. Let j be r(4). Let f = 32 - j. Which is the third smallest value? (a) -2\/5 (b) 0.02 (c) -5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5163 - 1651. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 83. What is the second derivative of 4 - 4*a + 287*a**4 - 295*a**4 + a - w*a**5 wrt a?\nAnswer: -40*a**3 - 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08082 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 6844816.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - -353 - 139 - 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x + 5. Let w(b) = b - 1. Let c(k) = -n(k) - 5*w(k). Let i(t) = 2*t + 1. Let a(u) = -13*c(u) + 6*i(u). Determine a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Suppose 4*b + 8 = -3*i + 3, 2*b + 3*i = -1. Is (3\/b)\/(1 - 86\/80) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/(-10) + 264\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -40. Let o = -11 - z. What is the nearest to 1 in o, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. What is the remainder when 8\/a*5\/2 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x - 1. Let b(l) = -21*l - 1. What is 5*b(p) - 10*h(p)?\nAnswer: -25*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 65072?\nAnswer: 325360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/27)\/l)*l*l**11)\/(l\/(l**(-26)\/l*l)*l*l**(-3\/2)\/l) assuming l is positive.\nAnswer: l**(-623\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4 - 1)) + (23 + -33 - -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7223021, 7223019, 7223015, 7223009, 7223001, 7222991, 7222979?\n\"Answer: -i**2 + i + 7223021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -143*o**2 - 1859*o + 4. Give k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 128, 5, 4, 121, 26 in descending order.\nAnswer: 128, 121, 26, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790066421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032355188 rounded to 5 dps?\nAnswer: 0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4865 + 1103621.79?\nAnswer: 1098756.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*o**6 - 59*o**5 - 60*o**3 - 50*o**2 + 94295*o wrt o.\nAnswer: 3840*o**3 - 3540*o**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-33) - (-18)\/(-33). Let v be 7 + -2 - -1*(0 + -2). Find the third derivative of 8*j**2 - 41*j**h + v*j**3 - 5*j**3 - 6*j**3 wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 26368*p**2 + 50111380*p - 21021898200.\nAnswer: 4*(p - 3005)**2*(p - 582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -66.9. Let k = 6 + o. Sort -7, -0.3, k in decreasing order.\nAnswer: k, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.24, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2174382 rounded to three dps?\nAnswer: -1.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1553*w**3 + 291*w**2 - 279*w - 13. What is u(1)?\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5.98, -0.1, -467, -1, -9 in ascending order.\nAnswer: -467, -9, -4, -1, -0.1, 5.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5967086.\nAnswer: 2, 2983543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 889277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -295, 49, 0, 6 in ascending order.\nAnswer: -295, -4, 0, 6, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 793.1 greater than or equal to 12759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*q - 113*q - 12*q - 108*q)*(3*q**3 - 25*q**3 - q**3) as s*q + g + i*q**4 + x*q**3 + v*q**2 and give i.\nAnswer: 6831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.396 plus -2610?\nAnswer: -2609.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -35*t + 539. What is the lowest common multiple of j(-9) and 2074?\nAnswer: 14518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) - (-372)\/(-70). Let v = -40\/7 - o. Let s = -2.0977 + 2.4977. Put v, s, -4 in descending order.\nAnswer: s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjnjjjnjninijljjq. What is prob of sequence jjn?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(162) - sqrt(162))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from memsidmiiniimmd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - (-31)\/(-11)) + (-210)\/(-55) is divided by ((-4)\/(-6))\/((-3)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o - 57. Let a be n(4). What is the lowest common multiple of 11 - 0 - (-6 - a) and 93?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0982 - -0.65.\nAnswer: 0.5518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 16. What is the tens digit of x + (4 - 1) + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*s + 3, y + 9 = 4*s - 1. Let m(w) = -w**2 - 5*w + 6. Let j be m(y). Suppose 930 = -j*r + 3*r. Round r to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41685463 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 2051378.\nAnswer: 22565158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48188194 or 10?\nAnswer: 48188194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4124604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 25, 12*n = 11*n - 5*x - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6867600.\nAnswer: 2, 3, 5, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 12 - 16 - (2 - 11 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 9. Let j be t(-6). Let w = -2 - -2. Let y = 0.1 + w. Are y and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 24640?\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 smaller than -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = -0*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -286\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -8 - (-14)\/(-2). Let t = -9 - m. Let q(l) = 3 - 201*l**3 + 2*l - 2*l + 202*l**3. What is q(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.03, 2\/3, -12, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*q - 426\/7 + 3\/7*q**3 + 426\/7*q**2.\nAnswer: 3*(q - 1)*(q + 1)*(q + 142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 20*g**2 + 35*g - 101. Is i(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 24*p**2 + 15*p - 38. Does 6 divide q(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7805 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 6*n**3 - n**2 - 2*n - 2. Let t be 2\/7 - (-5)\/7. What is the units digit of f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + r + 249, 2*r - 31 = 2*q - 151. Suppose 15*z - 12*z - q = 0. Solve 4*x - z = -3*i, -4*x - 5*i = -18 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Let a = -19 + 21. Suppose o - a = c. Put 1, c, 4 in ascending order.\nAnswer: 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14106 + -9767. Suppose s - 346 = 11*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w*w**31)*w)\/w)\/w**(-27))\/((w\/(w*w**(1\/19))*w)\/w**30))**25 assuming w is positive.\nAnswer: w**(12375\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a6 + 13859?\nAnswer: 14c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (5 + (11 + 11 - 4))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 287 or -525.1?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184*i + 555*i - 4*i**2 - 1822*i + 1380 - 330*i + 405*i.\nAnswer: -4*(i - 1)*(i + 345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/36 + (-86)\/(-18). Suppose -d*p + 16 = -p. What is the lowest common multiple of p and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**7\/63 - 41*r**6\/90 + r**5\/10 + 155*r**4\/9 - 217*r**3\/9 - 49*r**2\/2 - 1809*r + 2. Determine z so that m(z) = 0.\nAnswer: -7, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {l: 6, n: 3, v: 3, c: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(1100) + 5 + 1)**2*-2.\nAnswer: -2488 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmlllmllmlml. Give prob of picking 4 l.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -666 - -1152. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by -1\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*t + 179*t = -611. Let y(u) = -6*u - 31. Determine y(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 570596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 20 = -3*o, -4*o + 185 = 4*h + 205 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -4\/23 (b) -2\/87 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 7, c: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2946*a - 487. Let g be z(0). Which is bigger: -470 or g?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2326.9 - -2326.85. What is the nearest to a in 1, -3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x. Let b = -9 - -12. Let r(q) = 4*q - b*q - 7*q + 4*q. Give r(t(j)).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 j, and 1 z when four letters picked without replacement from {z: 7, f: 1, s: 6, j: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.4 (b) 1\/2 (c) 7\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(2 + (-7610)\/3806)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzozp. Give prob of sequence oop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**4 + g - 2*g**4 - g**4 - 2*g**4 + 2*g**4 + 2*g**4 + 5*g**4 - g**4 - 2*g**4 + (2*g - 4*g + 0*g)*(-g**3 + 0*g**3 - g**3).\nAnswer: 10*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**4 + 12*a**3 - 3*a**2.\nAnswer: -3*a**2*(a - 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7057.\nAnswer: 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 + v - 27. What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*a + 21 + 12, -2*o = 3*a - 1. Let p be (-4 - -5)\/(4\/o). Find the second derivative of -2*c - c**4 + p - 2 - 5*c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*g*s*t + 61*a**2*g*s - 2*a**2*s*t + 2*a - g*s*t + 8*g*s - t wrt a?\nAnswer: -4*g*s*t + 122*g*s - 4*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/101875 and 79\/19963425.\nAnswer: 499085625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:08 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 101, -3, -2, 3 in descending order.\nAnswer: 101, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (1 + -4))\/((-21)\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1016*q - 1012*q = 1435799, 3*q - 861474 = -3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + 2*m + 6. Let i be c(-6). Let w be 8\/(-5)*i\/(-12). Suppose 4*u - w = 12. Solve s + u - 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111101000 (base 2) to base 5\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14273, -28531, -42789, -57047, -71305?\n\"Answer: -14258*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169196 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + s**3 - s**3 + (-2*s**3 + 2*s**3 + s**3)*(0*s**2 - s**2 - s**2) - 3*s**4 - 145*s + 2*s**4 + 144*s - 5*s**5.\nAnswer: -6*s**5 - s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435998 and 7756?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from mllllolllomllolll?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 122. Suppose -4*j + 2*w = -690, w + 33 = j - g. Is 38 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104476259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 26, 5, -0.285?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117957109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(1792)*-2 - (sqrt(252) + 0)**2)).\nAnswer: 96*sqrt(7) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-3\/5)*n))\/n)\/n)\/(n*n\/n**(-16)) assuming n is positive.\nAnswer: n**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-4 + 3 + -2 + sqrt(272)))**2.\nAnswer: -216*sqrt(17) + 2531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l + 5 - 3 - 2.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - (-18)\/14. Suppose 9*c + 44 = 13*c + 6*b, 4*b = -3*c + 33. Calculate the highest common divisor of f and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 6*2*sqrt(143))\/(sqrt(44)\/sqrt(4)*-4).\nAnswer: -13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23926995 or 23926990?\nAnswer: 23926995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2438483 and 8119.\nAnswer: 860784499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - u = -2 - 4, 2*w = u. Let m = 4\/39 - 3503\/312. Find the common denominator of 609\/294 - w\/1 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 8126?\nAnswer: 40630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/11, -2, -2\/13, 24, -7.4, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 18\/5, -45, 0.3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.6 - 20. Let w = g - -2.432. Let o = 0.02 + w. What is o rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 32*l**2 - 20*l + 200. Give z(-17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 108057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190857946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2037 by -291.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 + 6) - -24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {m: 4, p: 3, a: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458112771 to the nearest integer?\nAnswer: 38185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 571812*b + 285917*b - 27 + 285898*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/48 and -52\/2421.\nAnswer: 38736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o**2 + 1 + 20*o**2 - 2 - 7*o. Let m be t(6). Let l(g) = g**3 + 8*g**2 - 5*g - 7. Is l(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(4*l - 3*l + l)*(-5*l + 5*l - 7*l)*((3 - 2 - 2)*(-5 - 1 + 5) + 0 - 4 + 5) to o*l + a*l**2 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 5}. What is prob of picking 1 m and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.5, -3, 12, 1\/12 in descending order.\nAnswer: 12, 1\/12, -0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 312, 389, -14, -1137, -3220, -6503?\n\"Answer: -40*t**3 + 357*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -4, 128696, -12, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2a7171 (base 12) to base 10\nAnswer: -717349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2437 - 4394. Let j = -1394 - x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 218934*v**3 - 3*v + 218989*v**3.\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -17?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 141*p**3 - 17*p - 4. Let s(w) = w**3 + 1. Let b(l) = r(l) + 3*s(l). Find the second derivative of b(o) wrt o.\nAnswer: 864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/90 - 129\/45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 22*h - 4. Let n(q) = -q**3 + q**2 - 19*q - 5. Let b(x) = 5*c(x) - 6*n(x). Determine b(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 21 - 43*p**2)*((-2*p + 1 - 1)*(2 - 2 + 2) + 0*p + 3*p - p + p - p - p - p + 0 + 0 + 3 - 3 + 6*p) as v + x*p + y*p**2 + c*p**3 and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 3, t: 4, v: 3, n: 3}. What is prob of picking 1 v and 1 t?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpwpopbvb. Give prob of picking 1 b and 1 p.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6294 and 1194.\nAnswer: 1252506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (140\/21 - 7)*30\/(-70)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-1734)\/(-432) + -4). Does 24 divide (w\/(-15))\/(2 - (-184)\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3059 + 6040. Let d = -2981.006305 + m. Round d to 4 decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let i(p) = 47*p. Let j(h) = -h - 1. Let r(q) = -i(q) - 3*j(q). Let d(f) = 3*b(f) - r(f). Is 22 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.055, -23, 4?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/2 - y**2\/2 - 2*y. What is the first derivative of c(f) wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111.2 - 153. Let t = b - -49. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3040128282.\nAnswer: 2, 3, 59, 191, 44963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {v: 3, h: 7, y: 2, i: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 + 7*y**2\/2 - y + 15. Give b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204491 is divided by 355.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 16*k + 94. Let m be h(-6). Let s(r) = 4*r**2 + 3*r + 2. Let t(w) = -w**2 + 1. What is m*t(d) + s(d)?\nAnswer: 6*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9264 + 9266. Suppose 52\/3*t**g + 28*t**3 + 4*t + 16\/3*t**5 + 20*t**4 + 0 = 0. Calculate t.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = -0*d. Suppose -3*w + 56 = 4*j, d*j - 8*j + 2*w = -56. What is the remainder when 40 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 14628*d**2 - 117892*d + 2242980.\nAnswer: 4*(d - 3665)*(d - 9)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a factor of 39489477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94061 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by -5\nAnswer: -186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*i - 8*i - 492 = 0, -3*i = -3*n + 492. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64987756 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 0.13972?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6896\/13 - 530. What is the third smallest value in r, -2\/9, -1\/8, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (64 - 117) + 74.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 41*g + 25. Suppose -3*f + 48 = 2*u, -u + 0*u = -5*f + 80. Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 6*t + 2 - 26.\nAnswer: 6*t - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000713281008 rounded to 6 dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/180*0)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) 1\/137 (d) -3\/2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*b - 8 = 0, 5*f - 3*b + b = 22. Suppose 0 = 2*t - 4*t + 8. What is the highest common divisor of f and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, -69, 10, 4, -6?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 10928\/9 (c) -0.4 (d) 0.09 (e) 3 (f) 0 (g) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 28. Let j = m - 6. Let n = j + 2. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c - 1. Let h(i) = 4*i**2 + 4*i - 3. Let m(r) = -r**2 - 6*r + 6. Let j be m(-7). Let o(z) = j*f(z) + h(z). Factor o(k).\nAnswer: (k + 1)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*s - 29*s - 8063 + 8071)*(-3*s - 3*s + 5*s)*(s + 2*s - s).\nAnswer: 230*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18 (b) 0.3 (c) -9 (d) -2\/107 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55987, 112172, 168357?\nAnswer: 224542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*j + 107*j + 6. Solve 4*g - q = -5*q - 4, 2*g + j*q = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i + x, -3*i + 27 = -25*x + 29*x. Suppose m + 3 = 0, -i*m = 2*w + 3*w - 150. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 3 (c) 0.3 (d) -2\/5 (e) 20\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2890, -2792, -2452, -1750, -566?\n\"Answer: 20*c**3 + c**2 - 45*c - 2866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1133972358 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019513 rounded to seven decimal places?\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*f + 83 = -40, y + f = 113. Suppose -5*m - y = -295. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136.9 - -143.9. Which is the closest to 2? (a) f (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*t - 17253 = -247*t + 639 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:01 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2124\/16 + -2 + 27\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from uddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o + o + 7*o. Let z(k) be the third derivative of 0 - k**2 + 0*k + 1\/6*k**4 + 0*k**3. Determine g(z(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 8. Suppose q + q = -3*y + 24, 0 = -2*y + q + 9. Suppose x + y*p = 3*p + 26, -g = x - 5*p. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1063.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 10 = -6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777999 - 800945 = 4*y. Let b = y + 754736. What is b rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 187 = 3*w, m + w = 2*m + 39. Let b = 75 + m. Suppose v + b = 3*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*i**3*y**2 + 2*i**2 - 2*i*y**3 + 2*y**3 with respect to i.\nAnswer: 48*i**2*y**2 + 4*i - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177.7 + -3.3. Let f = 178 + v. Let w = 6\/29 + -124\/319. What is the nearest to -16\/3 in f, -1, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3\/7, -3\/11, 2\/17 in descending order.\nAnswer: 3\/7, 2\/17, -3\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -13, -1, 5.\nAnswer: -13, -1, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:10 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 74*s - 89. What is the units digit of y(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g + 51*g = -6375. Let f = g - 381. Let p(u) be the first derivative of u**2 + 9*u - 1. Give p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 50 - (-27 + -3 + 3 + 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*j + 24 = -0*v, 0 = -5*v + 4*j - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -295570 or -295572?\nAnswer: -295572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39221\/30840 - 5\/1542. Let l = -177205\/12 - -14757. Find the common denominator of l and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2.7. Let l = -9 - -4. Let m = l - -4.6. What is the smallest value in m, s, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -856 + 856 - 26*g**3 + (0 + 3 - 4)*(g**3 + g**3 + 0*g**3) to k + s*g**2 + x*g**3 + f*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 9*v**4\/4 + 777*v**3 + 67597*v**2 + 89096*v + 29584 = 0?\nAnswer: -172, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - (-15)\/540.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 14*a + 387. Let j be d(-13). Calculate the highest common factor of j and 2325.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*q - 474*q - 785*q as r + z*q and give z.\nAnswer: -1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 181*s**7\/7 + 120*s**3 + 28. What is the third derivative of p(d) wrt d?\nAnswer: 21720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -9, 2, -589 in decreasing order.\nAnswer: 5, 2, -1, -9, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10124 - -10136. Let m(x) = x**2 - 4*x - 5. Let o be m(4). Put 0, -4, o, w in decreasing order.\nAnswer: w, 0, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2, 2\/5, 0, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34509505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304185.\nAnswer: 5, 109, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*r**3\/4 - 112743*r**2\/4 - 16107*r\/2.\nAnswer: 3*r*(r - 5369)*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from {w: 8, z: 4, m: 8}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 720, 0, 0.1.\nAnswer: 0, 0.1, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 5*c**3 + 2 - 17*c**2 + 10*c - 24*c + c. Let q(r) = -4*r**3 - 11*r**2 - 12*r. Let s(m) = 5*n(m) - 6*q(m). Give s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Let t = 4 - 4.9. Let q = t - z. Which is the closest to q? (a) 4\/7 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4046 is divided by 124?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 52. What are the prime factors of -3 - (-5)\/((-15)\/l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((13 - 14) + -7 + 22)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 13. Is u(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 12) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54889615*s**4 - 24822006*s**2 wrt s.\nAnswer: -1317350760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22189625 to the power of 1\/2, to the nearest integer?\nAnswer: 4711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 0*l - 3*l + 5*l.\nAnswer: 2*l - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 5*c**2 - 2*c - 1. Let n be i(-5). Suppose 4*w - 17 = -5*v, 4*w + 2*v - 5*v = n. Solve -5 = -j - d, -5*j - w = -3*d + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 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: What is the remainder when 188 is divided by 50?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let m(j) = 4*j**3 + j**2 - j + 1. Is m(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14137, -4, 9, -6 in increasing order.\nAnswer: -14137, -6, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -3\/8, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1386*t - 1388*t - 2, 0 = 3*c + t - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 5 = -22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -8*n - 6225. Calculate the remainder when n is divided by 75.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = -50*y + 46*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 0.3, 7, 4 in decreasing order.\nAnswer: 153, 7, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 18 = 5*a - p, -4*a + p = -28. Suppose 7*u - 2*u = 2*z, -4*z = -2*u. Let j = z + a. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3) - (-32 - -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39327 and 45?\nAnswer: 589905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, f: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/12)\/(6\/(-459)). Suppose -4*q + b = -q. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7.7. Let i be (-3)\/(45\/25) - 1*-2. Let d = -2.6 - -3.6. Which is the nearest to d? (a) i (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -630*w + 4398?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1010111110000011010?\nAnswer: -1010111110000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 12. Suppose 6*h - h + 25 = 0. Let p(i) = -i**3 - 6*i**2 - 4*i + 4. Let r be p(h). Put -3, g, r in increasing order.\nAnswer: -3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 120*l - 1437. What is v(-106)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.19 (b) 3 (c) 2 (d) -0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x + 10. Let g be m(-6). Which is the closest to g? (a) 1 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 40*k - 27. Determine a(-13).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:22 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5 + 17. Suppose a = -0*m + m. Solve 0 = -3*c + 4*f + 18, m*c + 2*f - 2 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 388633643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(25\/10) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 38 = n, 2*y + 93 = 3*n + y. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 3*n**2 - 2*n - 1. Let x(z) be the first derivative of -z**3\/3 + 3*z**2 + 10*z + 12. Let j be x(7). Does 29 divide b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165\/4 - 41. What is the nearest to y in 2\/5, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-20)*c)**(-3\/17)*(c*c*c**17\/c)\/(c*c\/(c\/c**29)))**(-9) assuming c is positive.\nAnswer: c**(1323\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5750, 46140, 155780, 369296, 721314, 1246460?\nAnswer: 1979360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301*l**3 + 3297*l**3 + 22 - 23.\nAnswer: 996*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 15 + (1 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*l**3*p**2*s - 2*l**3 + p**2*s + 220*p**2 wrt s?\nAnswer: 55*l**3*p**2 + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6470304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 769262569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14003243 (base 5) to base 14.\nAnswer: -395a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5536 + 124*o + 5536)*(-1 + 0 - 2)*(-2 + 0 + 3 - 6 + 3 + 2 + (4 - 2 - 1)*(-1 - 1 + 0)) as y*o + u and give y.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 8, c: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/7 - 416*z**4\/7 - 23796*z**3\/7 - 44640*z**2\/7 + 68850*z\/7 = 0.\nAnswer: -45, -3, 0, 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.63, 2, -6\/7, -0.2, 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:59 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11486.88111 + -11487. Let k = v - -0.02336. Let p = -0.095 - k. Round p to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93800 to the nearest 1000.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 336.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.4723492 to 2 decimal places.\nAnswer: 71.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 - 3755*b\/3.\nAnswer: 5*b*(b - 751)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 392*t**3 + 387288608*t**2 + 55326938*t + 1975962 = 0.\nAnswer: -987981, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g)**(-17)\/(g*g**(-18)*g**(2\/5)) assuming g is positive.\nAnswer: g**(-342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 14}. Give prob of sequence eeee.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094374159 to 5 dps.\nAnswer: 0.00944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 5*d**2 - 4*d - 6. Let k(x) = -x**3 + 3*x**2 - 5*x - 5. Let q(h) = 2*f(h) - 3*k(h). What is the units digit of q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 316831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 37. Let n(c) = 3*c. Calculate n(y(l)).\nAnswer: 9*l - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132) + -2*sqrt(132)*1))\/(sqrt(48)\/(sqrt(28)\/(1*sqrt(7)))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2596053, 2596001, 2595949, 2595897, 2595845?\nAnswer: 2595793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16419 + 16419.1. What is the third biggest value in -0.2, -3, -1, p, -72?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-4 - (-14 - -11) - 3) + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - 21*y + 6. Give u(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjgjjygggjgjjggjggjg. Give prob of sequence gjgg.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*r**3*s - 21*f*r**2*s**2 - 2*f*s + 1757*r**3*s**2 - 4*r*s**2 wrt r.\nAnswer: -12*f*s + 10542*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) -2 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 8 = -17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.2 (b) 30 (c) 0.5 (d) -13.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2\/(4\/14). Let l(b) = 18 - 26 + 4*b - b. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let t = -206 + 202. Sort p, -3, t, 0 in increasing order.\nAnswer: t, -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14105.566 rounded to zero dps?\nAnswer: -14106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 0.11, 0.3, 12, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z + 2*h - 202 = 0, -3*z = -3*h - 147. What is the highest common divisor of 400 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 1. Let j be w(1). Suppose j*f = 2*f. Solve -3*g + x = 1, g - 3*x - 2*x + 5 = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 0)*22\/(-4). Let y = -250 + 250. Put u, -8, y in descending order.\nAnswer: y, -8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*n - 5*n = -8, 0 = 4*n + 16. Does 7 divide w\/(-32) + (-286)\/(-8) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*j + 127*j + 182 - 177*j as z*j + w and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11751545 (base 9) in base 12?\nAnswer: 1b1a405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = 92*q - 585 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142565583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 8 - (2 + -3). Let t(n) = n**3 - 7*n**2 - 11*n + 5. Let f be t(x). Let r = 35 + f. What is the greatest common divisor of r and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -52983.\nAnswer: -1\/52983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4 - (-5 - 3)). Let a(j) = j. Let w(o) = o. Let x(d) = r*a(d) + w(d). Let q(z) be the second derivative of z**3\/3 + 3*z. What is x(q(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*118\/(-59).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhmmhhh?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 2*r + 2. Let q = 13 - 10. Suppose w = u - 8, -4*w + w - 4*u = q. Let z(k) = 3 - 2*k**2 + 3*k - 6*k - 3*k**2. Give w*z(v) + 8*g(v).\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {q: 2, o: 5, v: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + -2 + (1*sqrt(100)*3)\/sqrt(5) + -1)*5)**2.\nAnswer: -900*sqrt(5) + 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 0.03699093, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 3901077422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + h - 15 = 0, h - 15 = -2*h. Let f = -5 + z. Sort -4, f, 0.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 130 = -4*z - 2*s, 86 = 3*z - 5*s. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1759508 divided by 439877\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/5))\/c**(1\/6)*(c**(2\/21)*c)\/c**(-1\/3) assuming c is positive.\nAnswer: c**(517\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2\/9, 81.6, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536235 is divided by 13104?\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/104, 0.5, -8402?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*957.\nAnswer: -2871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let h = -52\/7 + 482\/63. Which is bigger: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 n when three letters picked without replacement from mynyshsyyhshhm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164.5 and 0.2.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f - 476 = -89*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 707?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*v - 193 = 0, 0*u - 3*u - 3*v = 192. Let f be (-3 - u) + (-8)\/(-4). Let z = 145 - f. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.914754 rounded to 3 dps?\nAnswer: 3.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-9)*(41 - 2). Which is smaller: 64 or f?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 25410?\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 0*n + n)*(-5 + 4 + 0) - 12 + 3*n + 12)*(-2*n**3 + 0 + 0 + (0*n + 2*n - n)*(-2*n**2 + 2*n**2 + n**2)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05136 + 215.15136. What is h rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2142 divide 19704258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhqxqhhhqqqqhhqhh.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 358777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -77, -79, 4, -0.28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -695 - -699. What is the third derivative of -5*b**4 + 19*b**6 - 31*b**6 + 6*b**k - 150*b**2 - b**4 - 7*b**3 wrt b?\nAnswer: -1440*b**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -23*r + 78. Let q be 2\/3*3\/(-2). Let j = r - q. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19587760 is divided by 1988.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (684\/855)\/(52\/30)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805765117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1062, 2625, 4724, 7383, 10626, 14477, 18960, 24099?\n\"Answer: 4*x**3 + 244*x**2 + 803*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (-70 - -21) + (-1 - (0 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n*v**5 + n*v - 11248*n + 536*v**5 wrt v?\nAnswer: -60*n*v**3 + 10720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120021 (base 5) to base 16.\nAnswer: -2ed8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 62*s**2 - 91*s - 46. Calculate j(-17).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2251 (base 15) to base 11.\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439483 is divided by 54912?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*w - 13, 10*t + 58 = 14*t - 23*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14798 is divided by 3699.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/68 and 121\/(-15) + (-56)\/42 + -2.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)\/(1 + -3). Let g be (2 - p)\/(0 + 1). Suppose -109465*m + 109853*m = 2716. Sort -6\/5, m, g, 0.2 in descending order.\nAnswer: m, g, 0.2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8*t - 190. Suppose -t*q = -9146 + 1945. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/25)\/((324\/40)\/9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377418903?\nAnswer: 3, 125806301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1028?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 49315230?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 5*w = -5*h - 20, -3*w = -4*h - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 + -2 + -26 + 29 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 152*y - 154*y. Suppose -4 = 3*k - 2*z, 0 = -k - 4*z + 9 + 13. Suppose 7 = d + 3*p, -k*p + 5 = 3. Solve -3*j + d*j = -y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = 30*r - 76. Let o(l) = -l**3 + 2*l - 2. Calculate o(r).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.9999949 - 8. What is h rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1760 and 11840.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + -2.16. Let i = s + 0.67. Let u = -0.38 - -0.08. Sort u, i, 0.06 in increasing order.\nAnswer: i, u, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-225)*(-30)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.5. Suppose 16*z - 28 = 2*z. Suppose 3 = o - z. Which is the biggest value? (a) r (b) -1 (c) o (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r)\/r)**42 assuming r is positive.\nAnswer: r**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 8, n: 1, g: 2, y: 2}. Give prob of sequence gcc.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/24 - 42309\/(-72). Let x = l + -264. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23)\/4 + (-3)\/12. Let r(h) be the second derivative of h**5\/20 + 5*h**4\/12 - 5*h**3\/6 + h**2 - 139*h + 1. Give r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-777)\/(-185) - 1*(1 - 0). Let h be -1 + -2 + (-58)\/(-10). Solve s*u - 2*u**3 - h*u**2 + 8\/5 = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 3*u**2 + 38. Suppose -2*t = 2*l - 4, 0 = -t + 2*l + 8 + 3. Calculate a(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1724, 1723, 1722, 1721, 1720, 1719?\nAnswer: 1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -241*n. Let c(h) = 2*h. Calculate c(p(g)).\nAnswer: -482*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7151758253\/714 + -10016464. Let r = -62\/51 - g. Let j = 25585 - 460399\/18. Calculate the common denominator of r and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343632 by -76.\nAnswer: 85908\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Let f(l) = -7*l + 0*l - 4 + 0*l. Let t(k) = 3*k**2 - 40*k - 4*k**2 + 75 + 2*k**2. Let v be t(38). Determine v*f(b) + 6*g(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -8353*i + 8357*i - 32, 0 = 5*j + 2*i - 1 + 41 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 181 + 2666 = 0. Calculate the remainder when x is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/2, -6, -0.4, 3, -3018, 5, 0.4?\nAnswer: -3018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - a - a + 34 = 0, 50 = -4*o - 2*a. Let r be (164\/o + 3)*12\/(-8). Let v = r + 23. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*5*2)\/(-1*(sqrt(8) + sqrt(648) + sqrt(648)*2)).\nAnswer: 5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 41\/22506 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (186\/(-1674))\/((-1)\/(-2)). Which is the nearest to t? (a) -0.05 (b) -3 (c) 4 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245666*b*l*r - b*r - 27*b + l*r + 16869*l - 1012*r wrt b.\nAnswer: 245666*l*r - r - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 320. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*u**2 - 1\/3 + 0*u = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/(-8))*2\/8\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0073301 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -100*i + 7806. Let k(d) = 2*d**2 - 83. Calculate r(k(w)).\nAnswer: -200*w**2 + 16106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f**2 - 2*f. Let j be i(-2). Suppose -j = c - 200. Suppose 5*o - c = -4*p, 2*o - 2*p - 20 - 20 = 0. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.023423 kilometers?\nAnswer: 7023423000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121037.9kg in milligrams?\nAnswer: 121037900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 805.\nAnswer: 804.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 13 - 2 - 11 + 118*n**2.\nAnswer: 2*n**3 + 118*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, -19, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o**2 - 17*o - 20. Give a(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-60) - 2\/12. Suppose n = 4*g - 3*f + 1141, -4*g - 3*f + f - 1126 = 0. What is g rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 2*q. Suppose 4*n = 2*z - 48, 0*n = -q*z + 5*n + 77. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 13*o**2 - 15*o - 14. Let a be c(-12). Suppose w + 14 = -0*m - m, -4*m = 0. Let g = w + a. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*48\/(-224).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/15)\/(12\/2). Solve 0 - r*b**2 + 0*b + 2\/9*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 2.3. Suppose -17*i = -10*i - 266. Let z = i + -42. What is the smallest value in 1, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.3 (b) 1 (c) 2\/19 (d) -3479 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/k**(-2\/55))\/k*k)\/(k\/(((k**0\/k)\/k)\/k))*(k\/(k*k\/k**(7\/5)*k))\/k**3)**20)**(-2\/29) assuming k is positive.\nAnswer: k**(2448\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32367887 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(986\/145)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31249 + -2937355\/94. Let u = -2\/47 + k. Let t = -3 + -1. Sort -0.2, t, u.\nAnswer: t, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 5*z + 35, 2*a - 4*z = 22. Calculate the lowest common multiple of a and 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000266310371 rounded to six dps?\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(0 + sqrt(363) + -3))**2*2.\nAnswer: -26784 + 4752*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 27. Let y(t) = -t**3 + 4*t**2 - 4*t + 9. Let m be y(4). Let o be j(m). Is ((-52)\/o)\/((-2*1)\/212) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.693. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9310835 divided by 5?\nAnswer: -1862167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19513.6ml?\nAnswer: 19.5136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/8)\/(36\/(-4416)). Let q = -3332 - -6849\/2. Is q > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 26. Let y(j) = j - 3. Let h be y(3). Suppose 4*s = 5*a - 81 - 109, h = 3*s + 15. Calculate the remainder when a is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**3 - y**3 - 4*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/25)*(l**(-20)*l*l)\/l)\/(l\/l**(-6))**(2\/27) assuming l is positive.\nAnswer: l**(-13229\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/87, -303 in decreasing order.\nAnswer: -4\/87, -3, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) - ((sqrt(75) - (sqrt(75) + 2)) + 2)))**2*4.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69505, -69475, -69429, -69361, -69265?\nAnswer: -69135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/(2\/28). Suppose -2*w + 11 + d = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003028556 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5879?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-28)*-1*8. Suppose b + 3*d = -2*b - 24, -2*d = -4*b - 2. Let u be (3 - (7 + b)) + 0. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevlrzllrrs. Give prob of picking 1 z, 1 s, and 1 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-110))\/(-17 - -16). Let i(v) be the third derivative of -v**4\/12 + 17*v**3\/6 - 8*v**2. Let m be i(8). Is x less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -26.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12330, 24664, 36998, 49326, 61642, 73940?\nAnswer: 86214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 6*t + 2. Suppose -2*d - 22 = -5*j - 0*d, -5*j + 14 = -4*d. Let m be h(j). Solve -m*i + 3 = 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 55*g**3 + 4*g**2 - g + 3. Let v be b(2). Let t = v - 452. Solve p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6365 and 53.4.\nAnswer: 339891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -3, -19 in decreasing order.\nAnswer: -2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 31*a\/2 + 5.\nAnswer: (a - 10)*(3*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431430 is divided by 215327?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -3.8. What is the third smallest value in v, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:28 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 16*f**5 - 15*f**5 - 6*f**2 + 4*f**2 + 0*f**5 + 4*f**5 - 2*f**5 - 4*f**5 + 3*f**5 - f**5 + (-1 - 2 + 2)*(-f**5 + f**5 + 2*f**5).\nAnswer: -f**5 - f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-164)\/14 - 9\/(90\/4). Let x = w + 62\/5. Sort 2\/3, x, 1\/31 in descending order.\nAnswer: 2\/3, x, 1\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 8*s)*((0 + 0 + 1)*(-12 + 0 + 3) - 3 - 3 + 4).\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzup when four letters picked without replacement from uzuzlulrupuu.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/i**(1\/2)*i*i*i*i*i)**(3\/11)\/(i\/(i*(i*i**(-1\/3))\/i))**(-2\/105))**26 assuming i is positive.\nAnswer: i**(209417\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:31 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 150411 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007605 to four dps.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(272) - sqrt(272))*6)**2*4 - (6*(sqrt(272) - (2 + sqrt(272))) + sqrt(272) - (sqrt(272) - (-4 + (sqrt(272) - -2*sqrt(272))**2))).\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26837690 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424701569?\nAnswer: 424701569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*q + 2*w, -3*q - 4*w = -6*q - 44. Is q\/66 + (-6195)\/(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let l be (3 - 13)*1\/i. Put 4, -3, l in increasing order.\nAnswer: -3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (-8 - -17) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, k: 6, q: 1, f: 2, d: 3}. Give prob of sequence fss.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -15*s + 0*s**3 + 1\/2*s**2 - 7\/6*s**4 + 0*s**7 + 0*s**5 + 0*s**6 + 0 + 13\/28*s**8. Find the third derivative of i(h) wrt h.\nAnswer: 3120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4) - -1 - 21\/(-10). Let j(l) = -l**2 + 5*l + 7. Suppose i - 5*a = 31, -4*i + 3*a + 39 = -0*a. Let b be j(i). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 - 9 = -3*l, -25 = -4*l - 3*c. Let j(d) = d - 1. Let v be j(l). Solve -u + v*a = -0*u + 10, -2*a + 11 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let d be m(-1). Suppose 2*r = -d*r + 396. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:09 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -85, 3, -9, -1.\nAnswer: -85, -9, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 2*a - 1. Let l(g) = 2*g**2 + 33*g + 3. Let p(x) = -l(x) + 4*m(x). Calculate p(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7524 a factor of 1281778080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 1, c: 2, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1243, 2, 5, 128 in increasing order.\nAnswer: -1243, 1, 2, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5367 = 7*t + 26. Let z = t + -1. Let d = z + -1532. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.191554 weeks in minutes?\nAnswer: 52330.86432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101557 (base 8) in base 9?\nAnswer: -51135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + 4) - (-9)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.59 < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-20)*2 - 352\/(-110). Solve -l + k*d - 5 = 2, -d + 24 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5448 divided by -4?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+10053585\nAnswer: 10053585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-2)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190 + -248. What is the units digit of s\/10*260\/(-78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - 9\/7. Is s < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -0.9 (c) 0.2 (d) 5 (e) -0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.09 + -3.0902021. What is d rounded to six decimal places?\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 17*k - 34. Let h be y(-14). Let i = h + -81. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9265 times -66.36?\nAnswer: 260.56254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*h**2 - 317*h**2 + 89*h**2 - 778*h**2.\nAnswer: -1338*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -835 - 404. Let t = -98 + y. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/4 + 3 - (-5925)\/60. Let w = a - 102. What is the third biggest value in 0.67, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(104)\/sqrt(2))**2*1 + (sqrt(117)*1*3 + sqrt(117))**2 + (sqrt(143)\/(sqrt(11)*-2))**2 + -3.\nAnswer: 12689\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 14 = 3*f, -5*f - 22 = 2*x - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5964294 and -463727?\nAnswer: 5500567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 4*m + 2. Let b be 2 - 2\/(-4) - 17\/(-34). Let s be n(b). Solve s*t = f - 21, 5*f - t + 0 - 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from bbyboooabobbb?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2*14\/4. Let a be 2 + (0 - z) + 0. What is the third derivative of -9*t**3 + t**6 + t**2 + a*t**3 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:00 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 249 - 246 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((sqrt(18) - 1*sqrt(18))\/sqrt(6) - (-1*sqrt(6))\/sqrt(2)) + (2 + -2 + sqrt(3) + sqrt(3))*-3 + 0)*-2)**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18203874?\nAnswer: 2, 3, 13, 419, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6320435?\nAnswer: 5, 11, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 141*j - 60. What is the remainder when 167 is divided by g(24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44398?\nAnswer: 2, 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11719.25 grams in nanograms?\nAnswer: 11719250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 5*y - 6. Let u be l(-4). Let a = u - -7. Let j(b) = -2*b + 4*b + 3 - 3*b + 7. Calculate j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 509, 2012, 4515, 8018, 12521, 18024, 24527?\n\"Answer: 500*q**2 + 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033543 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -5\/3 (c) 1\/320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 178, 31.\nAnswer: 10, 31, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152477 + -2114512?\nAnswer: -2114511.847523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14*h - 309. What is the remainder when 101 is divided by j(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**4*d))**(1\/3))**(-17)\/(d**(-8)*d**(-2\/5)*d)**(-17) assuming d is positive.\nAnswer: d**(-1547\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 214407 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/(-14) + (-22)\/(-77). Find the second derivative of -3*g + 16*g - 3*g + 11*g**y wrt g.\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*v - 6 - 10, -2*v - 4 = -5*h. Suppose m + m = r + 4, r - m = -h. Suppose -5*l + r*l = -800. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 51.\nAnswer: -83\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-1)\/4)\/(126\/(-216))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3087563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((6\/(-4))\/((-33)\/(-44)*4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12709 - 7608. Is h equal to 10201\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.8 - -30.2. Which is the third biggest value? (a) -3\/5 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/5)*g**(-28))\/(g**(-1\/9))**(1\/4))**(-27) assuming g is positive.\nAnswer: g**(15753\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:00 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 1. Suppose -2*u + 5 = -3*c, -2*u + 5*c + 12 = 5. Calculate d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxovolooovo. What is prob of sequence vvlo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3723, -3721, -3717, -3711, -3703?\nAnswer: -3693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/3 + 845165*a**3\/3 - 178576391876*a**2\/3 + 178565404756*a\/3 + 714302186896 = 0.\nAnswer: -3, 4, 422582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 4*k + 11. Suppose -84 + 140 = -8*i. Let t(c) = -3*c**2 + 6*c + 16. What is i*z(f) + 5*t(f)?\nAnswer: -f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140947 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4723 - 4704. Solve -4*x + t*x = 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(88\/8))\/(-19)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.018, 2\/5, 1, 7, 1\/90?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2807648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 + 2*f**2)*(0 + 0 - f) - 3*f**3 - 4*f**3 + 4*f**3 + 3*f - 12*f**2 + 14*f**2 - 7*f**3 - f.\nAnswer: -12*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11427, 22857, 34293, 45735, 57183?\nAnswer: 68637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 divided by 2?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + r - 3. Let o(y) = -6*y**2 - y + 3. Let q(x) = -7*j(x) - 6*o(x). What is the units digit of q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (3 - (-12 + (8 - -4)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*n + 774*n - 36909 = -114*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 10*w + 7. Let h(m) = m**2 + m - 1. Let f(d) = -3*h(d) - k(d). Let q be f(-6). Is (-154)\/q - (-8)\/(-20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d - 6*d + 2 + 36*d**2 - 34*d**3 - 38*d**2 - 2*d**4 to the form q + g*d**2 + o*d**3 + r*d**4 + h*d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1856304.\nAnswer: 1\/464076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lele when four letters picked without replacement from zevzmjlm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 12. Let t be b(-9). Let s be 6\/(-21) - 6\/(-21). Is 9 a factor of -1 - s - (t - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 794580 and 7380?\nAnswer: 2383740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 910 = -8*q. What is the remainder when q is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 20*u**3 + 24*u**2 - 16*u - 32.\nAnswer: 4*(u - 1)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*g = -4*x + 166*g + 44, -3*x + 4*g = -39. Solve -6*j + x = y - 9*j, 2*j = 4*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171233 (base 9) to base 13\nAnswer: 3927c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 2*b**2 + 0*b)*(130*b**2 + 103*b**2 + 65*b**2) to i*b**4 + x*b**3 + s*b + r*b**2 + m and give i.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)*(11 - 5). Let g = d - 1. Sort 0.3, 2, g.\nAnswer: 0.3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 40138, 0.1 in decreasing order.\nAnswer: 40138, 0.1, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 76*v**2 - 3*v - 6. Let y(d) = d**3 - 75*d**2 - 2*d - 4. Give -2*j(b) + 3*y(b).\nAnswer: b**3 - 73*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5803, 5782, 5759, 5734?\n\"Answer: -p**2 - 18*p + 5822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -499989587627?\nAnswer: -499989587621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7648 and 1555412?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 47, 126, 237, 380?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 - 95*x - 227. What is y(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 2*k**4 + 2*k**2 + (k - k**2 - k)*(-4*k**2 + 4*k**2 + k**2) + (-2 + 5*k + 2)*(0*k**3 + 2*k**3 + k**3).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43375362 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19497 - -19490. Is 252 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g*v**3 - 386*g*v**2 + 982174*g - 605650*v**3 wrt v?\nAnswer: -252*g - 3633900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {y: 8, j: 1, h: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 > -0.2165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Suppose -5*k = 3*n - 19, h*n = -7 - 3. Let c = 0.7 - -0.3. What is the second biggest value in c, k, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 31. Let c be u(17). Let m be c - 2\/(-2)*33. Calculate the greatest common divisor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*n + 5*c, 4*n = -985*c + 963*c - 72 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 107*n + 617. Calculate f(47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1073\/2 at most as big as -537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {m: 3, c: 1, h: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i. Suppose 11 + 1 = 3*y + 3*l, 0 = 3*y - l. List the prime factors of t(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t + 21*t + 1 + 14. Let y be p(8). Suppose y = u + 29. What is the greatest common divisor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -6 - (-7 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -2*b - 4*c, 5*c + 518 = 3*b - 190. Let m = b - 62. What is m rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10459 - 10438. Solve -5*n - 1 = -4*l, -18*n - 25 = -4*l - s*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd0cc (base 15) to base 12.\nAnswer: 29a440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 20*d**3\/3 - d**2\/2 + d - 2. Let n = 10 - 9. Let l be k(n). Solve l = 2*b + 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/420 and 43\/6336?\nAnswer: 221760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(288)*1)*-5)**2 + -4 + 3 + (sqrt(108)*-2 + sqrt(108) - sqrt(108))\/sqrt(6).\nAnswer: 1194*sqrt(2) + 7299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 3063)\/((-5)\/890). Let g = b + -134074. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(2 - 1) + 12. Suppose 2*l - 4*l = -j. Suppose 6*z - z + 3*m = 571, -l*m + 123 = z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208))**2*2 - (-5 + (sqrt(208) + -1)**2).\nAnswer: 8*sqrt(13) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*6\/(-3) + 0. Let p(w) = -w**3 + 6*w**2 + w - 2. Let o be p(r). Let l = -14 + 19. Which is the closest to 0? (a) o (b) -4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341078585*v**2 - 470444387*v?\nAnswer: -682157170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(6 + -18 + (-3949)\/(-330))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**2 + 14*c + 4. Let g be v(7). Suppose -203 = -4*f + 2*t + 3*t, -g = -f + 3*t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.158*-0.4\nAnswer: -1.6632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 34. Let i be y(16). Let j be ((0 - i) + -4)\/((-4)\/6). Suppose -j*z = -2*z - n - 132, 0 = -5*z - 5*n + 670. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/90 + x**4\/3 - 80*x**2 + x. Suppose h(l) = 0. Calculate l.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2907*o + 1 - 1021*o**2 - 2907*o - 1 to q*o**2 + i*o + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5))**(-3\/5)*t*t\/t**(-2\/11)*t\/t**(-5) assuming t is positive.\nAnswer: t**(2151\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + (13 - 14 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 4 - 4 + 2 - 997*t**2 - 1866*t**2.\nAnswer: -2863*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:27 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18484 and 165242339.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z + 10. Suppose 0*b - b - g = z, -3*b - 2*g + 1 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 0 - (-139 - -113)) + -9.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -61 - ((-6 - (-6 - -3)) + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 19199088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 13474676309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 41508\/(-30))\/(18\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:54 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*g**4 + 156*g**3 - 7420*g wrt g?\nAnswer: 180*g**2 + 936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -19.99999938. What is t rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*n**6 - 70656*n**4 + 330701*n**2 + 3*n + 9 wrt n?\nAnswer: -11280*n**3 - 1695744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 56*s = 161 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 602?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896051?\nAnswer: 3, 23, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 745\nAnswer: 63\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 5:15 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*x = 150384, -2*g - 5*x - 375980 = 3*g. What is g rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56*(-1 - 4))\/(-1 + 518196\/518200). What is a rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14012, 0, 3, -4 in decreasing order.\nAnswer: 3, 0, -3, -4, -14012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3)\/z*z)\/z**(1\/4))\/(z**2*z**(-1\/2)) assuming z is positive.\nAnswer: z**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:50 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167118640 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*b**5*o + 8*b**4*o**2 - 275*b**2 + 2*o**2 wrt b?\nAnswer: 1320*b**2*o + 192*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**9))\/(a*a*a*a**(2\/11)))**47 assuming a is positive.\nAnswer: a**(3008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004\/22 - 28\/5544*-72?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.6. Let l be (-14876)\/21*(-10)\/40. Let i = l - 177. Which is the nearest to -0.1? (a) w (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/(-12) - 2128\/(-1824).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2381, -2246, -2111, -1976, -1841?\n\"Answer: 135*i - 2516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 1945*o**2 - 1131*o - 7961. What is the first derivative of b(c) wrt c?\nAnswer: 3890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1215 + 112055?\nAnswer: 113314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 32 in increasing order.\nAnswer: -3, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696288?\nAnswer: 2, 3, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320806387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*o**3 + 8*o**3 + 2*o**2 - o**3 + 4*o**3 in the form c*o**3 + r + l*o**2 + f*o and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-850)\/(-85))\/((-25)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/18*4\/(-10). Solve 2\/3*m + 2\/3*m**3 + 0 + q*m**2 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012173 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -21*w + 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 34\/433577?\nAnswer: 34\/433577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -89*k**2 + 9 - 206*k**3 + 108*k**3 - 2*k + 82*k**2 + 99*k**3. What is q(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9617, 9610, 9591, 9554, 9493, 9402, 9275, 9106?\n\"Answer: -j**3 + 9618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32979.723 days in weeks?\nAnswer: 4711.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1323 in -13, 3\/8, 1\/40, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26 - ((-8)\/(-44) - (-395)\/(-55)). Let z(r) = 21*r + 1. Let q be z(1). Calculate the highest common factor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d**2 + 5*d + 3. Suppose -3*y = a - 64, -5*y - a + 69 = -39. What is the remainder when p(7) is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122432200313 + -10?\nAnswer: -122432200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*m**3\/9 + 3194*m**2\/9 - 12532*m\/9 - 2384\/9 = 0. What is m?\nAnswer: -149, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -89*i**4\/24 + i**3\/6 + 5*i**2. Let o be b(-1). Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 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 the remainder when 97551 is divided by 318.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.47, -2\/21, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1367081 (base 12) to base 15.\nAnswer: -5165e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/(-6)*-45. Suppose -r - 900 = -13*r. Calculate the greatest common factor of a and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/60 + 3*a**4\/8 + 11*a**3\/3 + 10*a**2. Let b be p(11). Solve 6*x - 2*x - 12 = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -742 + 741.633. What is z rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 647 + 546400?\nAnswer: 547147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*78\/4. Suppose 35 + l = -4*n. Let s = -8 - n. Calculate the lowest common multiple of s and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1012192 and 376?\nAnswer: 1012192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392 - -715. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933243515?\nAnswer: 5, 23, 47, 172663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(75) + sqrt(75)) + 1 + sqrt(75) + -2 + sqrt(75) + 2.\nAnswer: 1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*(-2 - -7). Suppose 2*a + 4*j = -2*a + 24, -2*a - g*j = -12. Solve d + a = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 2*a**4 - 3 - 2057*a**2 + 2126*a**2 + (-3*a - a + 5*a)*(-a**3 + 1 - 1) to the form p + m*a**4 + h*a + r*a**2 + s*a**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 430*t + 7617. Give n(-19).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/474)\/(4\/26 + 3\/(-18)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116994306 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*29\/(-3857))\/(10\/(-10)*1)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a - 6*a + 4*k, 0 = 2*a - 5*k + 7. Suppose 2*t = 5*m + t - 16, -2*m = -3*t + a. Let p(c) = c**3 - 3*c**2 + 3*c + 1. What is the units digit of p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*j - 57080 = -105*j - 5*f, 4*j = -2*f + 114144. 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 -0.0086777904 rounded to five decimal places?\nAnswer: -0.00868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-767)\/(-26)*(-17)\/8381 and -61\/2.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19299170*a**3 - 2465*a**2 - 2255 wrt a.\nAnswer: -115795020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o + 1. Let r be j(-5). Suppose d = 9 - 3. Suppose -d = -4*k + r. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231 - -11?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**8\/28 + 2*k**6\/15 + 85*k**4\/6 - 18*k - 4. What is the third derivative of u(y) wrt y?\nAnswer: -240*y**3 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q - 84 + 258 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/21)\/(4\/6). Is -14 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (0 + sqrt(252) + -1 - (sqrt(252) + sqrt(252) + (-1 + sqrt(252))*1)) + (1 + sqrt(252)*-2 - (0 + -1 + sqrt(252)))).\nAnswer: -3 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - p + 6*p**2 - 9*p**2 in the form o*p**2 + q + v*p and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:21 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 164328 divided by 41\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*-238960.\nAnswer: -10753200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 2553.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/78)\/(2\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -183*z + 203*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42332479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37361 (base 8) in base 12?\nAnswer: -93a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*a*f**2 + 3*a*f*i**2*s - a*f*i*s - a*i - f**2*i**2 - f**2*i - 6*f**2*s wrt s?\nAnswer: 3*a*f*i**2 - a*f*i - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 13 + (-30 - 14) + 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 41*p - 793. Determine k(-60).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*z = 0, 5*z - 10 = -15*w + 18*w. Solve -w*b - 5 + 1 = 2*d, 5*d + 3*b = 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/20 - 19*s**4\/12 + 4*s**3 - 34*s**2. Let p be c(-13). Solve 4*t = 2*t + x - p, -x + 15 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 26.82.\nAnswer: 241.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeiefeeeeeeeieeeei. What is prob of picking 2 i and 2 e?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -5, -19, 5 in decreasing order.\nAnswer: 5, -5, -19, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 20. Suppose -16 = -i*a, -4*r - 4*a + 11 = -25. Factor 5*v**4 - 3*v + 6*v - v - r*v**2 - 2*v**3.\nAnswer: v*(v - 1)*(v + 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199750 at most -199751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -5*t, 4*t - 5 = w + 4*w. Let u be -6 + 9 - (w + 0). Sort -3, u, -1 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/165*-81)\/(14073\/(-51601)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 54 = -3*b, -4*w + 4*b = -0*b - 56. Suppose -q + 948 = 840. What is the highest common divisor of q and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157.72 nanograms in tonnes?\nAnswer: 0.00000000000215772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/369?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43984470 to the nearest integer?\nAnswer: 6632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2 (c) 24 (d) 1\/8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8106108*s - 8106108*s + s**3 + 140*s**2.\nAnswer: s**3 + 140*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-4)\/(-3) + -1). Suppose l*f - 2 = f. Is (f*2)\/(1\/4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1243 + 1249. Let f(i) = i**2 - 10*i + 23. Give f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3 + 5 + p - 7. Let g be w(9). What is the third derivative of -m**2 - 4*m**2 - 8*m**2 - 5*m**g + m**4 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 1098197042 + 1098197042.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/42*(-1)\/(3\/3)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 1325\/7. Let n be ((-1)\/5)\/((-2)\/(-4)). Suppose 2*d + d + 6 = 0. Which is the nearest to n? (a) w (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731232547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 68848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -61 - (-34 + -53 + 10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9433 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 93. Let l be x(9). Solve 0*y + 12 = -l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199\/28 + 48\/7. What is the closest to s in -5\/2, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 10*n - 7. Let x be v(8). Let i = x - 7. Solve -5*u + 3*l + 7 = 5*l, 8 = -i*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 98065.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3390288483 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -474 - -654. What is the greatest common divisor of k and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101.64 - -5.54. Let y = -96.10441 - h. What is y rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7188 + -21562\/3. Let c(a) = 7*a + 3. Let t(g) = -3*g**2 - 4*g - 2. Let v be t(-2). Let x be c(v). Is x smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 176. Let g be j(-32). Let k(z) = -4 + 9*z + 46*z**2 + 35*z**2 - 4 - 3 - g*z**2. Determine k(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and -401.\nAnswer: -14035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:00 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10522, 10539, 10580, 10657, 10782, 10967?\n\"Answer: 2*o**3 + 3*o + 10517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10449443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/88 - -3\/8. Let p be (-30)\/(-25) + (-688)\/(-160) + (-128)\/24. Which is the fourth biggest value? (a) u (b) p (c) -4 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1032, -1035, -1038, -1041, -1044, -1047?\n\"Answer: -3*z - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 8. Let c(v) = v**2 + 6*v + 5. Let m(t) = t**2 + 6*t + 4. Let k(s) = -3*c(s) + 4*m(s). Let p be k(-5). What is the units digit of f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53981 + -34918. What are the prime factors of b?\nAnswer: 11, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1059856*f + 10 = 1059851*f, 0 = 3*g - 5*f - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*1\/(-3) + -45. Let s = g - -48. What is the units digit of (-108)\/30*(-20)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-13075)*90\/(-54). Let c = x - -7841\/6276. Find i such that -c*i**2 + 25\/2*i - 45\/4 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10488854 is divided by 61.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 3, x: 6, b: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 - 9*u + 79 + 4*u - 84 in the form r + x*u and give r.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 119990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2629.1 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4151407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/420 and -39\/400.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 4344?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(6\/(-9)). Let x(d) = -4*d - 3*d**2 + 7*d**m - 3*d**2. Let j be x(5). Sort -4, j, 3.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/((-13176)\/288))\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -2. Let y(r) = -r**3 + 6*r**2 - 9*r + 1. Let h be y(4). Let v be (-52)\/h + 2\/3. Solve -o*t = -q - q - v, -4*q + 5*t - 24 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (24\/5)\/((-17)\/(-1700))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*b - 2*b, 4*v = -2*b + 60. Let o = 35 - v. What is the remainder when 2\/5 - (-909)\/15 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122046539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617068610 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: Let j = -2447 + 2451. Solve j*p = 4*b + b + 27, 18 = 4*p - 2*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.5 in 0, -6, 2\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - 4*y)*((1 - 10 - 15)*(-8 - 26 - 3) + 2 - 5 + 0) to i + b*y and give b.\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yibizbybzzzzy. Give prob of sequence byzy.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 4*h**2 + 4*h**4 + 7*h**2 - h**2 + 2*h**3 to i + t*h**2 + y*h**4 + d*h**3 + x*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4322814.31 to the nearest ten thousand.\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/(-3))*2\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93277 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3112*d**5 + d**2 - 27*d + 21.\nAnswer: 186720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/33)\/(230\/(-276))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 11, 5, 0 in increasing order.\nAnswer: -4\/5, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*20\/50 - 9) + 119\/102?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = -23*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2984*s**2 + 3290*s**2 + 1304*s**2 - 1822*s**2.\nAnswer: 5756*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from duugu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21514 + 44?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 2. Let j be i(2). Let p = j + -10. What is the lowest common multiple of p and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*f + 127*f + 127*f**2 + 116*f.\nAnswer: 127*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -6701*s**5\/60 - s**4\/8 - s**3\/3 + 10*s**2. Let a be d(-1). Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 12:13 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)*(t*t**(-2\/5)\/t)\/t*(t**(2\/9)*t)**(2\/63) assuming t is positive.\nAnswer: t**(-40714\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) + 0).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 551.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5 - v + 3 + 2. Let q be b(2). What is the third derivative of -u**q - 5*u**6 + 8*u**6 + 0*u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:07 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 3*f**2 + 2*f**5 + (-134*f**4 + 922*f**4 + 393*f**4)*(f + 1 - 1 + (-3 - 1 + 2)*(4*f - 6*f + f)).\nAnswer: 3545*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k - 3. Let m be v(-6). Let a = 133 - m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -4*c, 3*w - 6*w = -c - 9. What is the greatest common factor of 24 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Let d = -0.3 + 1.3. Let t = d + h. What is the third smallest value in -3, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5*400\/160)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 49. Let x be i(15). Solve -2*m = -n - 7, 14 - 38 = -4*m + x*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:48 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:41 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36252 divided by 212.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4 - 1. Let z(c) = -c. Let p be z(w). Suppose p = -k + 5. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78988009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 332024 + -1333?\nAnswer: 330361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-4)\/50*55\/(-44)). Let z(u) = 2*u + 11. Determine z(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -75*g**2 + 48*g - 41. Let f(d) = -56*d**2 + 47*d - 42. Let i(n) = -4*f(n) + 3*p(n). Find k, given that i(k) = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/8)\/(2\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124.1 + 103. Let o = h - -21. Sort 0, o, 2\/7, 1\/5 in increasing order.\nAnswer: o, 0, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 3, -4, 8, -1\/7.\nAnswer: -4, -0.6, -1\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0 + 0*o**6 - 23\/210*o**7 + 0*o**4 - 16*o**2 - 13\/30*o**5 + 0*o + 0*o**3. What is the third derivative of v(u) wrt u?\nAnswer: -552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36319.6 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:45 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6190 and 1120390.\nAnswer: 1120390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -19 - (-1 - -1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 34. Let n be x(-18). Let m(h) = 3*h**3 + h**2 - 8*h. Let b be m(n). Suppose -4*s + 29 = -11. Do s and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*t**2 - j**3*t - 800*j**2*t**3 + 2*j*t - 47*j + 2*t wrt t.\nAnswer: -2*j**3 - 4800*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-1*2 + (2*sqrt(425) + -4)**2)*-4 + 4.\nAnswer: -6860 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 451721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 2\/(-2) + 2. Let u = d - 2. Let p(k) = -55*k + 792. Let h(m) = -m + 12. Let i(v) = 66*h(v) - p(v). Give i(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 8*g + 5. Determine d(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7175a (base 13) to base 2.\nAnswer: 110001101001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 11*o**4 - 12 + (1 - 1 + 2*o**2)*(5*o**2 - 10 + 10) + 2*o**4 + 0*o**4 - 3*o**4 as p*o**3 + k + n*o + j*o**4 + r*o**2 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*v - 140, 24 + 30 = -2*v + 4*j. Let s(f) = 2*f + 102. Calculate the remainder when s(v) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/10 - (0 + 2\/5). Sort p, 4, -4.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 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: Calculate 26751.4 - 19523670.\nAnswer: -19496918.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 3. Let n(d) = d + 2. Let v(c) = -14*n(c) + 6*p(c). Let a(f) = f**2 + 8*f - 1. Let z be a(-7). What are the prime factors of v(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/16*(-48)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5009 = 62*s + 4052 - 9867 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257055 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -945?\nAnswer: -4\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 788992092.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d*l**3 - 380389*d*l - 7*l**3 + 1022363*l**2 with respect to d.\nAnswer: -9*l**3 - 380389*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -19 (c) -0.2 (d) -1\/8 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 68*h**3 - 428*h**2 + 868*h. Let v(a) = a**4 - 69*a**3 + 429*a**2 - 867*a. Let y(o) = -4*v(o) - 3*z(o). Solve y(c) = 0 for c.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 3*r**2 + 2*r**2 + (4*r**2 + 0*r**2 - 3*r**2)*(-1 - 2 + 2) - 2*r**2 + r**2 + 0*r**2 - 2*r + 5*r**2 + 2*r - 1 + 1 + r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -274, 425, 2258, 5795, 11606?\n\"Answer: 95*o**3 - 3*o**2 + 43*o - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u = -18*u + 60 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/12 - (-6)\/(-9). Let -4\/3*d + 4\/3*d**3 + 2\/3 - 2\/3*d**4 + 0*d**o = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1573)*2)*4 + 5 + 3 + sqrt(1573) + 1 + sqrt(1573) + 5)**2.\nAnswer: 6600*sqrt(13) + 158200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let o(b) = 1984*b + 2879*b - 5560*b. Determine o(l(p)).\nAnswer: 2091*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 - -4 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + p + 39 - 31 = 0, -2 = 5*w - p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 29 = 2*m + 389. Solve -m = 16*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101000 (base 2) to base 6\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 446 = 3*f, -2*a + 2*f = -3*f - 186. Calculate the highest common factor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57049354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60494148 divided by -572\nAnswer: -105759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r. Let y(a) = 8*a**2 - 19*a - 25. Suppose 54 = 5*u - 2*u. Let l(p) = u*v(p) - 2*y(p). Suppose l(g) = 0. Calculate g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1034)\/44 - -31)*2\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1. Let k be (f + -1 - -1) + -220. Calculate the common denominator of 33\/16 and 2\/(-8) + k\/(-44).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 126\/(-90) - 22\/(-5). What is the greatest common divisor of v and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 946.2478 seconds?\nAnswer: 946247800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 104 = 42*n + 1312 - 632 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:31 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 - 11*o + 6. What is s(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84.698 + -15.908. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 58*m - 13. Let h be (-276)\/(-15) + (-154)\/35 + 5. What is w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27934147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -55 (c) 2 (d) 10 (e) 1 (f) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-63) - 334\/(-14). Suppose 3*d - 5*r - h = d, -22 = -d + 5*r. Factor -6\/5 - 33\/5*a**d + 39\/5*a.\nAnswer: -3*(a - 1)*(11*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-152)\/(-6))\/((-18)\/(-27)). Let a(o) = -9 - 4 + 0 + 4 + u*o. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15705133*l**3 + 17451981*l**2?\nAnswer: -94230798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 177.5?\nAnswer: 53.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5733 - 5397. Calculate the greatest common divisor of c and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5 + 80*d**4 + 208*d**3 + 56*d**2 - 212*d - 136 = 0. What is d?\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 38*f**4 + 260*f**3 + 1077*f**2 + 267*f - 11. Let p(c) = 10*c**4 + 65*c**3 + 269*c**2 + 67*c - 3. Let b(m) = -6*j(m) + 22*p(m). Solve b(o) = 0.\nAnswer: -8, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5441 is divided by 2708.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28.2 * 0.2\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -160, -377, -344, 251, 1720, 4375, 8528, 14491?\n\"Answer: 52*x**3 - 187*x**2 - 20*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/15 + 6\/5. Let l = c + 1\/15. Let g = -2 - -1. Is g at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 - -417 - (-2 - -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52311?\nAnswer: 3, 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 94. Let h(t) = -5*t**2 - 4. Let r be h(-3). Let w = r + c. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -7 (c) -1.05 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 91*t**2 - 6*t - 65. Determine b(18).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/34)\/((6\/9)\/((-8)\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = 20, 2*m = 2*z - 164. Let p = 157 + m. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -8*y + 10*y**3 + y**5 + 23\/4*y**4 + 2*y**2 - 201. Suppose h(r) = 0. Calculate r.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29680 and 468944?\nAnswer: 2344720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.09, 367\/502, -2\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 66, 183, 410, 783, 1338, 2111?\n\"Answer: 6*d**3 + d**2 - 2*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-5 - ((sqrt(80) - sqrt(5))**2 + -4).\nAnswer: -41 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - 1.8. What is the closest to -0.1 in -8, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101677.\nAnswer: 17, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 370739841 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -14 + -2 + -40 - -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24306 - 24297. Solve 0*a + 45 = w*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 14. Let z be j(-7). Suppose 5*n - 38 - z = 0. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*a - 5*b, a - 3*b + 75 = 55 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, -2, 1 in decreasing order.\nAnswer: 2, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/8*-6. Suppose 4*d = i + 3 + 9, -5*i + d - h = 0. Suppose i = -0*u + 5*u - 250. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/166 and -103\/1804.\nAnswer: 149732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 142 = -70. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 6*t + 5. Let q be a(-6). Let b be 2520 - q\/((-10)\/8). Let r be 18\/(-81) - b\/(-18). What is the greatest common factor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95, -190, -285, -380, -475, -570?\n\"Answer: -95*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-18)\/(-2016)*4.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*p**2 - 503*p**2 + 1975*p**2 - 497*p**2 - 499*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 6*j. Let b be z(-5). Let c(o) = 3*o - 4*o + 0*o - b + 2*o - o**3 - o**2. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -18*f - 42. Let c(y) be the first derivative of 27\/26*y**4 + 16\/13*y + 36\/13*y**2 + 36\/13*y**3 + f. Factor c(r).\nAnswer: 2*(3*r + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(13) + 2)**2 + -1.\nAnswer: 4*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 2*j - 12. Let d be n(2). Which is the smallest value? (a) 3 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 8*d**2 - 11*d - 5. Let p be b(5). Let a be 6\/(-4) - (p\/10)\/3. What is the units digit of (-1)\/2 - 159\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94243 = -129*r - 5990. Is r at most -777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59168 * -1453.\nAnswer: -859.71104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 + 28*m**3 - 62*m**2 - 2171*m wrt m.\nAnswer: 24*m**2 + 168*m - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -549 and -16869 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.92 - -40.08. Let b = -22.6 + -29.1. Let d = a + b. What is the nearest to -3 in -2\/5, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 - p - 9. Let y be t(4). Solve 0 = y*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89661 and 138424.\nAnswer: 7890168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -302 - -333. Suppose 0 = -g - 3*g. Suppose g = 5*t - 10, m = -t + 10 + 8. What is the remainder when r is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113928825*m**2 + 71488604*m?\nAnswer: 227857650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t\/(t**(-41)\/t)*t)\/t)\/t)\/(t\/((t\/(t\/(t\/t**(-39))))\/t)))**1 assuming t is positive.\nAnswer: t**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*5*2)\/(sqrt(81)\/(-2*sqrt(9))*4).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873 take away -106102.53?\nAnswer: 107975.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 5100249.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1500\/180 + -1*8)*(-1 - 47)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let j(v) = -4*v**2 - 2 + 14*v**2 - 4*v - 11*v**2. Let l be j(y). Solve 2*o = 4*n - 22, 4*n - 3*n = -3*o + l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 97*x**3 - 5*x + 129 + 98*x**3 + x in the form u*x**3 + y + q*x**2 + l*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v**3 - 54*v**2 - 54*v - 17. Let b(q) = -8*q**3 + 18*q**2 + 18*q + 6. Let n(l) = 17*b(l) + 6*d(l). Suppose n(y) = 0. What is y?\nAnswer: -3\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230208 = 20*k - 64*k. What are the prime factors of k?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31874.3 millilitres in litres?\nAnswer: 31.8743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2450 and 256025?\nAnswer: 512050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 2*j - 8. Let y(f) = 178*f + 717. Let h be y(-4). Calculate n(h).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2650372 and 34.\nAnswer: 45056324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*l - 5*a, 4*l - 3*a - 20 = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4302466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001335 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 - 154. Is t > 0.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Suppose -4*n + 19 = -q. Let g be n\/(-70) - 2\/(-7). Sort g, 1\/10, 0.4 in increasing order.\nAnswer: 1\/10, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/20*(-82)\/410.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*k - 324, 3*h - 2*k = -4*k - 263. Is h at most as big as -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1116081 and 30.\nAnswer: 11160810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-18))\/1 - (-1070)\/12. Let j = o - 89. Factor -1\/3*v + 0 + j*v**2.\nAnswer: v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from baabbbaabb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**5 + 42*a**4 + 6*a**3 + 1423*a**2 wrt a.\nAnswer: -540*a**2 + 1008*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 5*z**2 + z - 3. Suppose 0 = i - 3 - 2. Let g be d(i). Let 0*l**g - 3*l**2 - 4*l**2 + 2*l = 0. What is l?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, n: 3, u: 8}. What is prob of sequence nuun?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24410537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4594 divide 1924886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/197? (a) 5 (b) -0.2 (c) -15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 847826*l. Let x(c) = c**2. What is x(s(o))?\nAnswer: 718808926276*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -1 - (1 - -2). Suppose -k = t*k + 18. Let q(r) = -4*r - 5. Does 19 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -5*x, 6*x - x + 4 = 2*l. Let o = 6 - 9. Let k = l - o. Is k >= -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 3*h**4\/4 - 7*h**3\/3 + 183*h**2\/2 - 2*h - 44. Differentiate m(w) wrt w.\nAnswer: 18*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c833 (base 13) to base 10.\nAnswer: 27758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3041.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 7) to base 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in 0, 1\/3, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 7*o + 7*o. Let t(r) be the first derivative of -5\/2*r**2 + 0*r - 1. Give x(t(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 7\/6*d + 1\/6*d**4 - 1\/2*d**3 - 1\/2*d**2.\nAnswer: (d - 3)*(d - 2)*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5166*-0.5.\nAnswer: -2583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let d be m(-2). Let w be (2 - (-2 + d))\/1. Let k = -2 - -6. Solve -5*z + g = 1 + w, -4*z + 3*g = k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 - 2)\/((-3)\/(-4)). Let z = w + -24. Let g be 2\/2*18\/(-288). Is g > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -664*c**3 - 10*c**2 + c + 4. Let u(t) = -664*t**3 - 12*t**2 + t + 5. Let s(g) = 5*u(g) - 6*x(g). What is the hundreds digit of s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 598902727?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 4, 15, 44, 97, 180?\n\"Answer: k**3 - 8*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170545630 and 170545630?\nAnswer: 170545630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1795463 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 22*k - 58. Let f be y(8). Which is greater: f or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 8:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2. Let u(y) be the second derivative of y**4\/6 - 31*y. Calculate o(u(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*c - 6, 4*d - 3*c - 78 = 0. What is the third derivative of -h**3 + 18*h - 7*h**2 - d*h wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4067 and 7850389.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 55885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.96797 centuries?\nAnswer: 0.496797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.02. What is the closest to -1\/2 in -0.2, 2\/3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4455 + 3076. Let m = 1996 + b. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 81. Solve -5*h = 4*g + 9 + t, -4*g - h = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -21*b**2 + 5*b - 6. Let a(h) = -44*h**2 + 9*h - 11. Determine 3*a(g) - 5*u(g).\nAnswer: -27*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - -1) + -2 + -105 + 234 + -73.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461690 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, p: 1, z: 3, g: 1}. What is prob of sequence gz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 3*t - 5*t)*(2*t**3 - 2*t**3 + t**3) - 1 + 1 - t**4 + 373 - 7*t**4 - 373 in the form s*t + h*t**4 + w + f*t**3 + m*t**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/6 - 13*m**2\/2 + 40*m. Let y be i(3). Suppose 0 = -y*x + 250 + 1040. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0932 + 0.0068. Which is the nearest to -0.11? (a) y (b) 3 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72802, -72803, -72804, -72805, -72806?\n\"Answer: -n - 72801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*w**5 + 29*w**4 - 1007*w**2 - w - 41942?\nAnswer: 360*w**3 + 348*w**2 - 2014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249361134 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -5*f - w - 133, 2*f = 28*w - 118 - 6 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 7) in base 4?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*h**2 - 119*h + 223*h**2 + 119*h - 1 + 3 in the form u*h**2 + o + a*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a2 - -c8?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -118, -271, -486?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - 1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 less than -551?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 13915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 1. Let y(x) = 5*x**2 + 3. Let k(j) = 2*b(j) - y(j). Differentiate k(r) with respect to r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(150)\/sqrt(3))\/sqrt(10) - (-4*sqrt(15) - sqrt(15))\/sqrt(3))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016346353 rounded to six decimal places?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/68 - 83595\/(-51). Let h = -3651 + z. Let o = -14048\/7 - h. Find the common denominator of o and 47\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(20))**2 + 4 + -6*sqrt(25)\/(sqrt(80) + sqrt(5)).\nAnswer: -6*sqrt(5)\/5 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*q**2 + 8*q**2 - 26*q**2)*(75*q - 50 + 50) in the form i*q**3 + n*q + f*q**2 + j and give i.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - v = 13, -19*v - 17 = -3*k - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 12 = 12*l. Calculate the remainder when 16 is divided by ((-3)\/l)\/(5\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1900)*1 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + -1))**2 + (-5*(1*sqrt(475) - sqrt(475)) + 2)**2.\nAnswer: -40*sqrt(19) + 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -856, -2099, -3842?\nAnswer: -6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Let b(l) = -3*l + 9. Determine b(v) + x(v).\nAnswer: -3*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309.787t in nanograms?\nAnswer: 2309787000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*x - 75. Suppose 4*g = -2*v - 38, 0 = 4*g - 2*v + x + 2. Let p(h) = -h**3 - 11*h**2 + 10*h + 8. What are the prime factors of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 124 = 3*s, -3*h = 5*s - 102 - 102. Let x be (-40)\/s - 10\/(-15). Let n = -153 - -149. Which is the nearest to x? (a) 0.06 (b) n (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/27 (c) -2\/2043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-15))\/(56\/980). What is the smallest value in 0.1, 0.5, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by -44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**2 - 2*y + 3. Let t be o(0). Suppose 2*k = -2*k. Suppose 0 = -n + c - 1, k = -n - t*n - 5*c + 5. Is n less than or equal to -2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*b + 44, -5*m + 46 - 12 = -3*b. Let v = 15 - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614539513 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-417 + 480 + 8 + 1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82 or -25583\/313?\nAnswer: -25583\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -15. Suppose 4*f - 8*f + 5 = -5*w, -5*w - 5 = 4*f. Solve -5*s + m = f, 0 = -2*i - 2*s + 4*s - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(-37)\/13320*4\/(-10).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25035680 and 2?\nAnswer: 25035680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i - 154*i - 20 = -20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 497530225 to the power of 1\/2, to the nearest integer?\nAnswer: 22305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -267*w + 35*w + 47*w - 442*w in the form p + r*w and give r.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -2*n - 0*y, -3*n - 24 = -3*y. Is n at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q)\/((q*q**1*q)\/q)*(((q*q**2\/q)\/q)\/q)\/((q*q**(-6\/5))\/q)*(q**(1\/15)*q**(1\/22))**7 assuming q is positive.\nAnswer: q**(461\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2850 is divided by 697?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, b: 3, j: 1, q: 5, l: 3}. Give prob of picking 1 l, 2 q, and 1 g.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose 2*b = f*b - 3*q - 9, -3*q - 18 = -3*b. Let l(a) = a + 6. Let m(w) = 2*w + 13. Calculate b*l(v) - 4*m(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455\/2 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.4, -686\/3, 1\/423?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/2184*-6*((-595)\/17)\/(-70)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 387, -12, 1.\nAnswer: -58, -12, 1, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26245 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**3 + 4*d**2 - 3*d + 13. Let w be a(-10). Let c = w + -2670. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 428771.8 rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -9, 23, -5, -108, -51.\nAnswer: -108, -51, -9, -5, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, d: 1, s: 1, g: 3, b: 3, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**2*p**2 - 2*n**2*p - 4217*n**2 - 24*n*p - 709*p**2 - 2*p wrt n.\nAnswer: 16*p**2 - 4*p - 8434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -0.0462.\nAnswer: 0.14322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 10) to base 6\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.005?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 35. Let o = v - -4. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -1552, -2329, -3224, -4237?\nAnswer: -5368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1710*a + 6574. What are the prime factors of d(-8)?\nAnswer: 2, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32666 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/12 + (-2)\/6)\/(-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*b = -76*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + k + k - 2)*(0 + 2 - 10).\nAnswer: -16*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 14414?\nAnswer: 14412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 7. Let o(c) = 3*c + 6. Let m(l) = -3*f(l) - 4*o(l). Let d be m(2). Is -10 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1515)\/(-90) - 18)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972681, 1945362, 2918043?\nAnswer: 3890724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2920535 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36455 - -59550. List the prime factors of k.\nAnswer: 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -3, 1, 3, -5, -4 in ascending order.\nAnswer: -5, -4, -3, 1, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-32 + 22) - 54.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(84*(-341)\/(-6696))?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710185.\nAnswer: 3, 5, 180679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16059 - -16767.9. Let o = 710 - w. Sort 0.3, -12, o in decreasing order.\nAnswer: o, 0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + -2 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40848 and 930672.\nAnswer: 34434864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293 + 293 + 27*r**4 - 57*r**2 + r**3 wrt r.\nAnswer: 648*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -753 - -758. Let g = -0.7 - -1. Which is the third smallest value? (a) y (b) -4 (c) -0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -42, 2, 6 in increasing order.\nAnswer: -42, -3, 2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9707840 rounded to the nearest 100000?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u**2 - 67*u - 2. Let k(y) = -23*y**2 - 80*y - 2. What is -5*k(s) + 6*l(s)?\nAnswer: -17*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67338757 + i + 67338757 + 2*i + 46*i**2.\nAnswer: 46*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Let a be -1 - (-2 + g)\/(-1). Let l be (-1)\/((7\/2)\/(-7)). Solve b - 3*s - a = -l*s, -3*b + 17 = 4*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338210 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14923.01 take away 117735945?\nAnswer: -117750868.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000159634 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1069*f**2\/2 + 690*f - 607. What is the first derivative of a(g) wrt g?\nAnswer: 1069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*j*v**3 - 1444375*j*v**2 + 517785*v**3 - 7*v**2 wrt v?\nAnswer: -54*j + 3106710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 0. Let p be (-79)\/(-9) - (-12)\/54. Let l = r + p. Solve l*w - 6 - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 16*a**3 + 4*a**2 + 8*a - 1. Let k be l(5). Suppose -200*b = -203*b + k. List the prime factors of b.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49852 is divided by 49490?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = v - 15, -5*i - 60 + 21 = 3*v. Let u be 9\/(-1)*i\/(-9). Let x(s) = 9*s + 3. Let r(w) = 3*w + 1. Give u*x(d) + 17*r(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. What is the closest to 3 in -3, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 8.2. Let j = -2966\/5 + 594. Sort -1\/5, p, j in descending order.\nAnswer: p, j, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/294 and -70\/39?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 411011136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.48 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 6*s + 4. Let d be n(-5). Let q be ((-6)\/d)\/(1\/(-3)). Solve -q*k = 3*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*n**3*z + 3223*n**3 - 7*n*z - z with respect to z.\nAnswer: 35*n**3 - 7*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*k + 7 = 17, -2*b - 5*k - 15 = 0. Solve 4*u = 2*u - n + 9, -9 = -b*u + 2*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21983 less than 22054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, k: 2, w: 4}. Give prob of picking 1 n and 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 13316 = 5*m, -2*m + 2*g = 5336. Let d be 122\/m + 1\/4. Let u = 2\/111 + d. Which is the third biggest value? (a) 2 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 19*o - 5. Let y be z(18). Suppose 5*i - 36 = 4*t, 2*t = t - i. Sort 5, t, y, 0 in increasing order.\nAnswer: y, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - 0.131. Round f to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let x(i) be the first derivative of -1\/12*i**4 + 0*i + a*i**2 + 1\/9*i**3 + 1. Determine j so that x(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.2 + 17.8. Is d >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -55. Suppose -5*w + w = -b. Solve -2*c + w = -6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/72*(-4)\/(-10)*396\/(-20295).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = 2*u, 328*c = -4*u + 327*c + 55. Let t(i) = i**2 - 14*i + 6. What is t(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 2*sqrt(18))\/sqrt(9) + (sqrt(4)\/sqrt(2) + 2)**2.\nAnswer: 6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 2, n: 5}. What is prob of sequence ks?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -59, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/20 - 3*i**4\/2 + 31*i**3\/6 + 10*i**2 + 11*i. What are the prime factors of c(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 9. Find the second derivative of -4*s**3 - 4*s**2 + s**2 - 3*s + k*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 11*a - 6. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 1. Suppose 0 = -3*k - k + 48. Let h be 14*(-1)\/(-6) + (-4)\/k. Determine y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)*x**(2\/9)*(x**(-8)*x)**(1\/13) assuming x is positive.\nAnswer: x**(-1792\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m - 120 = -5*p, -99 = -3*p - 3*m. Suppose 60 = 8*a - p. Solve 14 + a = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b + 40. Let l = b - -14. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -119802, -110978, -96272, -75684, -49214?\n\"Answer: 2941*r**2 + r - 122744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1115 + 621. What is the common denominator of -101\/14 and 4\/(-14) + k\/280?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-13 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (400 - 463) + (-3 - -96)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.1 + 13.6. Let i = -5 + 5. What is the closest to i in -4\/7, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053) + -5*(4 + sqrt(1053)) + sqrt(1053) + sqrt(1053))))*-5)**2.\nAnswer: 18720*sqrt(13) + 116116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 47. What is the lowest common multiple of 510\/765*(0 - -270) and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 94008*g - 564058. Give o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 426.\nAnswer: 31\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 - (-44 + 16 + 7 - -11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 divided by 3?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 0.076\nAnswer: 0.00988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364387, 728773, 1093159, 1457545, 1821931?\nAnswer: 2186317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 9) + -4 + 8 - -14.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 11. Let q(y) = y**3 + 9*y**2 + 8*y + 5. Let v be q(-8). Let t(o) = -3*o + 21. Let g(m) = v*h(m) - 2*t(m). Give g(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 68 - 67 = -131 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10639 or 10638?\nAnswer: 10639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g - 8. Let l(t) = 9*t - 10. Let y(a) = 5*l(a) - 6*x(a). Let c(w) = -35*w - 25. Determine -2*c(p) + 25*y(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 0. Let a be (-2)\/3*9\/r. Put -2\/7, a, 0.1 in decreasing order.\nAnswer: a, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s. Let y(n) = 5*n**2 + 195*n - 2309*n + 45*n**2 - 49*n**2. Give y(o(k)).\nAnswer: 9*k**2 - 6342*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5013824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-10))\/((42\/(-35))\/((-601)\/601))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -53*g + 328 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**14)))\/q**17*q**(-20)*q**(-11) assuming q is positive.\nAnswer: q**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 5. Suppose 0 = -4*b + 12 + 16. Let a = 31 - b. Suppose 4*o - 4 = 4*u - a, 0 = -5*o + 2*u - 22. Calculate n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245324 - 23138385.\nAnswer: -23383709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 50\/(-22))*2. Let w = -17\/3 - -5. Let g = -82\/7 - -239\/21. Which is the nearest to 0? (a) w (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.7. Let z = -21.3 + 18.3. What is the closest to 1\/2 in a, z, 0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 9, p: 6, d: 4}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2393, -4816, -7239, -9662, -12085?\n\"Answer: -2423*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 3*r**4 - r**2 - 7 + r to v*r**3 + m*r**2 + w*r**4 + k + l*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-6 + -1) + -1*3. What is the second smallest value in t, -2\/7, 0.009?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3401375 by -125.\nAnswer: 27211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 6. Let a be i(-5). Let n = 73\/265 + -4\/53. Is a at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 6. Suppose 5*u - x = 31. What is the greatest common divisor of 88 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 13. Let o(g) = g. What is l(y) - 2*o(y)?\nAnswer: 3*y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*g**3 + 1737*g**2 + 7938*g + 729 = 0. What is g?\nAnswer: -9, -3\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/11 + 14*r**3\/11 + 28*r**2\/11 - 96*r\/11 = 0?\nAnswer: -3, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314730 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 - 95 = 56*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:22 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ssskkskkmskksksm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let w(y) = -2*y + 4606. What is w(t(d))?\nAnswer: 4*d + 4606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356875163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2694*s + 27473. What is h(-10)?\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12586 or 12588?\nAnswer: 12588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28371223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 272*l + 2 + 55*l**2 - 736*l - 1 + 1008*l.\nAnswer: 55*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001001110000010110 (base 2) in base 12?\nAnswer: -445b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 924, 9\/58, -178 in ascending order.\nAnswer: -178, 9\/58, 924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 6}. What is prob of picking 3 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1309*h**3 - 31*h**2 + 122*h + 36. What is the tens digit of m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3556, 7113, 10670, 14227, 17784?\nAnswer: 21341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 381, 399, 435, 495, 585?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10365 and 1860?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t. Let r = -48 + 3. Let y be (-2)\/(-3)*(r\/(-267))\/5. Is y bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 18*t**2 - 19*t + 40. Let n be c(-19). Suppose 6*y = 11*y - n. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(1573) + sqrt(1573) + 2 + sqrt(1573))) + 1 + -4)**2.\nAnswer: 320*sqrt(13) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7945 divided by -35?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1363309 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 110*t + 858. What is the tens digit of k(44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*v**3 + v**2 - 182*v wrt v?\nAnswer: -60*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*z + 3, -3*r - 2*r = z + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 247763362 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378 + 377. What is the second smallest value in -5, n, 4, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-1)*(-3 + 15\/6). Calculate the remainder when 50 - (-3 + 3)\/h is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111000100 (base 2) in base 13?\nAnswer: -4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*n*r**3*v + 2*n*r**3 + n*r**2*v - 4*n*r**2 + 91*n*r*v + 3*r**3 + 682*r wrt v?\nAnswer: 69*n*r**3 + n*r**2 + 91*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 + 7191*r**2\/5 - 1438*r = 0.\nAnswer: 0, 1, 7190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = -10*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 52*h + 1199. Determine m(18).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 732948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 9 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*o - 311*o = -177 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 10 - 36)*(-j - 3*j + 8*j + (-4*j - j + 3*j)*(-3 + 1 + 1) - 3 + 3 + 2*j + 5*j - 3*j - 3*j).\nAnswer: -245*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -24*c**2 + 6178*c + 3626. Calculate m(258).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*219\/(-5)*(-8 - -3). Suppose 4*q = -16, 5*s - t = 2*s - 3*q. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/81*12*(-54)\/492?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/2729 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l - 4*l + 11*l - 1 + (-4 + 3 - 1)*(20 + 24 + 7*l - 14).\nAnswer: -13*l - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104914, 209813, 314724, 419653, 524606, 629589?\nAnswer: 734608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/21)\/i**(-1\/11))**41*i**2\/i*i**(-2)*i**(-2)*i*i*i*i**(-4) assuming i is positive.\nAnswer: i**(-965\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -41*z + 9. Let q be f(0). Let v(o) = o - 3. Determine v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/105 - q**4\/3 + 14*q**3\/3 - 9*q**2. Find n such that w(n) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/5, 0.2156, 1, 9.7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = r + 92*m - 95*m, -16*r - 2*m = -12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 11*y - 250 = 0. Suppose -r - 98 = 27. Calculate the common denominator of 123\/20 and (-731)\/146 - r\/y.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 112 = 14*u. Let f(t) = t**5 - t**3 + t**2 - 1. Let n(j) = -j**5 - 9*j**3 + 6. Let x(y) = u*f(y) - n(y). Find the third derivative of x(g) wrt g.\nAnswer: 300*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251388897*d**2*w**2 - 27*d**2*w - 20*d**2 - 147*d*w + d + w - 70 wrt w.\nAnswer: 502777794*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 5*b**2 - b - 10. Let y be i(2). Let a be 122\/10 - (-32)\/y. What is the highest common divisor of 416 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 3*f = -19*u - 6, -3*f - 33 = 9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81, 78, 75?\n\"Answer: -3*f + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let i(c) = 7*c - 5. Let x(r) = -18*r + 12. Let u(w) = 12*i(w) + 5*x(w). Calculate -5*s(j) + u(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -55*s - 6. Let v be (-3)\/((-6)\/(-16)*4). Is w(v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 + 280380*l = 0. Calculate l.\nAnswer: -56076, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11832*q**2 - 47292*q + 10. Determine d(4).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f - 12. Let x = -6 + 9. Sort 2, f, x.\nAnswer: f, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -35224.\nAnswer: 70448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 136*q + 17. Let b(c) = -17*c - 2. What is -17*b(u) - 2*y(u)?\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18279, -73111, -164499, -292443, -456943, -657999, -895611?\nAnswer: -1169779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from cccccucucu.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 14*s + 4. Calculate x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191465527 and 1045.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 852324285 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-1155)*-7)\/(84\/(-72)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in decades?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((6\/(-3))\/1). Suppose t = -2*f + 5*z - 5, 2*f - 3*z - 45 = -8*z. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*t + t, 2*g - 67*t + 39 = 84*t - 150*t for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772.1488ml to litres.\nAnswer: 0.7721488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2297187312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -47767106.\nAnswer: 47767106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 10*m**2\/7 + 8*m\/7.\nAnswer: 2*m*(m + 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281207370?\nAnswer: 2, 5, 31, 4132927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 830234735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 2*v + 0 - 5 - 6*v**3. Let o be 4 - (-4 - (-12 + 5)) - -808. Let t(f) = 809*f**2 - 15 - 7*f - 13*f**3 - o*f**2. Calculate -2*t(x) + 7*w(x).\nAnswer: -2*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007139 to 5 dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/110 + s**4\/33 - s**3\/33 + s. Factor b(z).\nAnswer: -2*z*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.85 (b) -145 (c) 9\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 9 + 3. Let w be q\/(-10) - (-1935)\/25. Suppose 3*k - w = -2*b, 3*k - 13 = 2*b - 84. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/5706 and 17\/277692?\nAnswer: 833076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t**3 + 28*t**2 - 41*t - 52. Is b(13) a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 4*t**3\/3 - 11. Let w(c) = 22*c**2. Give w(v(h)).\nAnswer: 352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -875, 30, -3.\nAnswer: -875, -3, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 9. Let c be (1 + (2 - 1))*-2. Let j = c + 4. What is the units digit of p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -433, -438, -445, -454?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/11218 - (-925)\/71?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -2457127.\nAnswer: 3931403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -868, 1, -2, 3, -7 in ascending order.\nAnswer: -868, -7, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9942220.\nAnswer: 2, 5, 497111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from lllflllklzxfaklalaf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g + 7. Let a be w(-2). Put 2, a, -4, 5 in decreasing order.\nAnswer: 5, 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25188 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3447, -7530, -14315, -23802, -35991, -50882?\n\"Answer: -1351*b**2 - 30*b - 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/12 - t**4\/4 + 2*t**2. What is the second derivative of j(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from tiedigepgpitge?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.1 + 0.9. Let u = 106.28 + -106.3. What is the third smallest value in a, 1, u, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.596 microseconds to nanoseconds.\nAnswer: 358596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*s**2 + 396*s**2 - 225*s**2 to the form k + w*s + b*s**2 and give b.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172488 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*w + 1591 + 3159 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*z = 13 + 2, -5 = -3*x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from kakkfcfckccpka.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 10) in base 9?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33504 divided by -16752?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -28*r**3 - 97*r - 3. Let j(c) = 56*c**3 - c**2 + 195*c + 5. Let n(p) = 3*j(p) + 5*m(p). Find the second derivative of n(a) wrt a.\nAnswer: 168*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 20*f - 7*f + 55 = 7*u, -8*f - 7 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 987197177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 5*y**3 + y**3)*(5 - 4 + 1) - 4*y**3 + 5*y**3 - 4*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179157 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 2. Suppose -2*j + 3*j = -5. Let i(l) = -l. Let w be -2*(-5)\/(-40)*-4*1. Give j*i(q) + w*f(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 - 8?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 272\/144*3 - 1\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1053335 + -74?\nAnswer: -1053420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1377*o**4 + 268*o**2 + o - 391086?\nAnswer: -5508*o**3 + 536*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/15 + 36*j**2 - 8*j. Let p(q) = 35*q. Calculate b(p(m)).\nAnswer: -4900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39e61 (base 16) to base 7.\nAnswer: 2005260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:19 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -10*c + 5\/6*c**3 + 0 + 2\/3*c**4 + 3*c**2. What is the second derivative of r(o) wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3602733813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 33653*n\/4 + 58905.\nAnswer: -(n - 7)*(n + 33660)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -49b90?\nAnswer: -49b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-7) + (-24)\/84. Suppose 2*s - 24 - 10 = 3*v, -4*v + 2*s - 44 = 0. Let t be v\/50*(-8)\/(-2). What is the second smallest value in t, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18108 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**3 - p**2 + 3*p + 13*p**3 - 5*p. Let j(q) = q**3 + q**2 + q. What is c(s) + 2*j(s)?\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 - 2*h + 6. Let m be t(-6). Let j = 16 + m. Is 10\/3*(-33)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364289 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.662361 hours to nanoseconds.\nAnswer: 20384499600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-15 - (-14 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 925, 1673, 2423, 3175, 3929, 4685?\nAnswer: 5443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -8*m + 13*m. Let t = 1079 + -1017. What is the remainder when t is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*s**3 + 39780*s**2 + 309741*s + 596712.\nAnswer: -3*(s - 376)*(6*s + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-6)\/(-4)*(-8)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124002223 (base 5) to base 8\nAnswer: 2246630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + 436*x - 1222. Give c(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1589733 and -7\/327780?\nAnswer: 31794660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-27) - 4\/(-18). Suppose -n + 3*n = 4*k - 122, 2*k - 5*n = 65. Suppose 8*d = 70 - k. Solve 1 + d = -a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, r: 1, p: 4}. What is prob of sequence pu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3483 divided by -1424.\nAnswer: 3483\/1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145504901*z**2 - 145504901*z**2 - 4723*z**3.\nAnswer: -4723*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50931, 102310, 153681, 205044, 256399, 307746, 359085?\nAnswer: 410416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1021 - -917. Let a be 47\/12 + (j\/(-96) - 1). Let t be ((-2)\/(-3))\/((-4)\/(-6)). Solve 0 = -a*d + 3*w + t, 58 = 4*d + 5*w + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1420)\/568)\/((-6)\/(-4))*420\/750\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m + 700*m**2 - 13*m - 691*m**2.\nAnswer: 9*m**2 - 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12457703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyfyyyyyf. Give prob of sequence yffy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*f**2 + 7*f**2 - 3*f + 3*f to the form r*f + w*f**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -450 smaller than -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 15 = -13*y - 2*g, 4*y - 2*g + 42 = 0. Does 6 divide y*16\/(-360)*130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**3\/7 + 1839*n**2\/7 - 3371*n\/7 + 1521\/7 = 0 for n.\nAnswer: -169, 9\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*j**2*l**2 - 2*j**2*l*p**2 + j**2 - 2*j*p**2 + j + 12*l**2 - p**2 wrt j?\nAnswer: 36*l**2 - 4*l*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35029970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(-3 + sqrt(175)))**2 + (sqrt(7) - (-3 + sqrt(28)\/sqrt(4)))*1.\nAnswer: -750*sqrt(7) + 4606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7306245 or -7306247?\nAnswer: -7306247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 = -2*q, 2*z + 10 = 5*q - 13. Let w = -2 + 1.9. Which is the third smallest value? (a) q (b) 2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/30 + 5*p**4\/6 - 2*p**3 + 67*p**2. Let w(c) = -c**2 + 8*c - 5. Give 5*t(o) - 12*w(o).\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -1296, -1558, -1584?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17560 (base 9) to base 13.\nAnswer: -5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 30*u**2 - 12*u + 19. Let v be l(6). Suppose 4*m - 2*i - 323 = 497, v = 5*m - 2*i. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49303 smaller than 49376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 4*c - 22. Let q be l(3). Put -2, 11, q, -3 in ascending order.\nAnswer: -3, -2, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + -2 + -3 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 80, 18*r + 5*k + 38 = 5 + 6 - 43 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:29 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -7*d**5\/3 - 3*d**4 + 19*d**3\/3 + 13*d**2\/3 - 4*d - 4\/3 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*t - 719*t**3 + 514*t**3 - 227*t**3 - 677*t**3 - 116*t.\nAnswer: -1109*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 20 = 0. Let r(a) = -16*a + k*a**2 + 16*a. What is the remainder when 9 is divided by r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 1, -6\/17, -1\/9, 1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2 + (-1)\/2. Suppose -12 = -4*x + 2*q - q, 0 = 5*x + w*q - 2. Find the second derivative of 0*c - 2*c + 0*c + x*c**2 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 88.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23*b + 13. Let c be h(-13). Let w be c\/21 + 1\/7. What is the highest common factor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-5))\/((-43197)\/(-6545))?\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let x be (-2 - w)\/(18\/(-24)). Suppose -x*t + 6 = -10. Solve -r = t*q - 14, -4*r + 0*r + 5*q = 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:57 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698340 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*a*h**3 - 95*a*h**2 + a - 11*h**3 wrt h.\nAnswer: 972*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113286851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1025, 2045, 3065, 4085?\n\"Answer: 1020*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -2, -0.1, -20 in decreasing order.\nAnswer: 7\/3, -0.1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05236 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 16*q**2 - 32.\nAnswer: -2*(q - 2)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 10 = -g. Solve -s - 3 + g = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + 1 - ((-22)\/(-99) - (-154659)\/32670) and 57\/185.\nAnswer: 44770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**4*t - 2*i**3*t + i**2*t + 3*i*t - 165*t wrt i?\nAnswer: -96*i**2*t - 12*i*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 643, 2619, 5907, 10507, 16419, 23643, 32179?\nAnswer: 42027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 1\/20*f**4 - 1\/30*f**3 - 3*f + 0*f**2. Factor k(w).\nAnswer: -w*(3*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673183.\nAnswer: 1673183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y + 1 + 40*y - 1 + 4930*y**3 - 66*y.\nAnswer: 4930*y**3 - 54*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000224201731 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 124. Let f = -2.17648674 + 65.17648705. Let q = f - z. What is q rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x)\/x*x**(4\/7)*(x\/((x\/((x\/x**1)\/x)*x)\/x*x))**(-20\/7) assuming x is positive.\nAnswer: x**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 162200 = -18*g - 162115, 5*g = 4*y + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (-1 + (12 - 11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*1*-1 + -2. Suppose 0 = u*l - 9 + 45. Let c = -5 - l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1 (base 14) in base 2?\nAnswer: -10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3591 is divided by 91?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 17262?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/2 - 21*x**2\/2 - 6*x. Let p be d(8). Sort p, 2, 1 in descending order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4*n**2 + 23378*f**2*n**3 - 2*f*n**3 - 2*f*n + 377*f + 2*n**3 wrt f.\nAnswer: 24*f**2*n**2 + 46756*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q**3 - 2*q)*(-2689 - 2918*q + 1353 + 1336).\nAnswer: 5836*q**4 + 5836*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 174*g - 99*g**2 + 594*g + 3*g**3 + 8*g**2 - 5*g**2.\nAnswer: 3*g*(g - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 441\/36 - ((-18)\/2)\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**(-2\/29)*(((r\/r**2)\/r)\/r)**(13\/3) assuming r is positive.\nAnswer: r**(-757\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*n*o**3 + 2*n*o + 4204*o**3 + 910225*o wrt o?\nAnswer: -192*n*o + 25224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(350) + sqrt(350)))\/((4*sqrt(6)\/sqrt(3) - sqrt(2)) + -5*(sqrt(2) - sqrt(2)*1)).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*s + 0 + (1 - 4 + 1)*(-s + 6*s - 3*s) + 11*s - 26*s - 10*s.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12560)\/1884)\/(4\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**2 + 27*g - 27*g - 19*g**2.\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 41*g + 53. Let l(i) = -6*i. Determine l(m(o)).\nAnswer: -246*o - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/3 - x**3\/3 - 11*x**2 + 57*x. Calculate the least common multiple of v(-3) and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 4. Let j = 25 + -31. Let p be b(j). Which is greater: 15 or p?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 2*u - 14. Suppose x + 44 = -5*i + 3*x, 0 = -u*i - 5*x - 35. Is (2 + i\/4)*-254 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 2 + 2 + (-3 - n + 3)*(-480 - 401 - 221) + n + n + n as v + u*n and give u.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 30*b + 2793 + 2799 - 5582 + 5*b.\nAnswer: 38*b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*g + 18*g + 11477 - 11479)*(3*g**2 - g**3 - 1 - 3*g**2) to k*g**3 + p + r*g**4 + j*g + a*g**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 55787.\nAnswer: 1617823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/133, 26, 0.2, 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 553 - 5?\nAnswer: 54b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6671442 to the nearest integer?\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 9*u - 360. Suppose 2*p = 4*p - u. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 1136988*r**2 + 1136991*r.\nAnswer: -3*r*(r - 378997)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*q - 75 = 0, q - 6*q = -5. Let r = n + 20. Suppose 4*h - 38 = -r*h + 5*y, -5*h = 3*y - 29. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 - 0.13. Let a = 11.911 + -66.911. What is the smallest value in f, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369737 at most 369736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35816*k**2 + k - 4*k + 6*k - 97676*k**2.\nAnswer: -133492*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -74*j + 6 + 156*j + j**2 - 76*j. Calculate o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531597 + q**2 - 269025 - 262572.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -234.7. Let c = 2 - 23. Let p = c + t. Sort 5\/4, -2, p in ascending order.\nAnswer: -2, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -22. Suppose -2*m = -5*u + 2, -s*m - 2*u = -0*u - 53. What is the second derivative of -6*l - 2*l - 22*l**2 - m*l + 62*l**2 wrt l?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 0*p**3 - p**3 + (-2*p + 0*p + 5*p)*(5*p**2 - 4*p**2 - 2*p**2) - 7386*p + 2 + 3652*p + p**3 + 3692*p.\nAnswer: -p**3 - 42*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10420074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34545000 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 975 + 7761 = 0. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 2. Let b(g) = 7*g + 26. What is 4*b(s) - 7*c(s)?\nAnswer: 7*s + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848922710 to the power of 1\/2, to the nearest integer?\nAnswer: 62040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7088088.\nAnswer: 2, 3, 7, 31, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1599*j + 4 + 125*j - 869*j)*(-2 + 1 - 4) to a + q*j and give q.\nAnswer: 11715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13 + d**3 - 14*d - 5*d**3 + 4*d**3 + 14*d**2 - d**3. Let z be j(13). Solve 3 = 3*f - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 5*u**2 - 3*u. Let b be g(-5). Suppose -21*x + 19*x = 4*k - 26, 20 = 5*k. Calculate the highest common factor of b and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -0.3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11534)\/1185)\/73)\/((-2)\/(-18)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.69 - -1.69. Let n = -0.5 - 3.5. Let z = j + n. Which is the second smallest value? (a) -0.2 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 109*j. Let z(b) = 27*b - 165. Let s(o) = 5*o - 30. Let u(d) = -11*s(d) + 2*z(d). Give u(q(x)).\nAnswer: -109*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2251010\/9 and 250112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*u - 3739 = 161*u - 3139 - 14642 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/135? (a) 1 (b) 2\/25 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.1, -2, 1\/5, -0.2 in ascending order.\nAnswer: -10.1, -2, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18211223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f*f*f**(-2)*f))\/(f**(-18)*f\/(f**(1\/3)*f)) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 + 23 = 0, 2*f - 122764 = 2*l. What are the prime factors of f?\nAnswer: 11, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -8*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 30689*i**2 + 61275*i + 3038013.\nAnswer: (i - 30687)*(i - 11)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 + 0*n**2 + 25*n**2 - 2*n**2 - 5*n**2 + 6*n**2 + (2*n**2 - n + n)*(-2 + 1 + 3) + 0*n**2 - n**2 - n**2 + 2 - 2 + 2*n**2 + 4*n - n**2 - 4*n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/637 and 76\/441.\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 294*b**2 - 76*b + 362. Does 39 divide v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 5*b**4 + 100*b**3 + 140*b**2 - 720*b - 1152 = 0. What is b?\nAnswer: -12, -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03387887085 + 277342\nAnswer: 277342.03387887085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 15. Let h be f(-7). Let u = 4 - 4. Let x(m) = 0 - m + u. Calculate x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/10 - 13\/20. Let x = 420740 - 420739.7. Which is the second smallest value? (a) 1\/3 (b) o (c) x (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 9*x**2 + 8. Let n(k) = -11*k**3 + 19*k**2 - k + 15. Let v(q) = 9*g(q) - 4*n(q). Let s be v(6). Which is smaller: -4\/51 or s?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 11*h + 53*h**3 + 11*h - 36*h**3 + 504*h**2 - 18*h**3 to m*h**2 + i*h**3 + n + g*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3 + 8\/(-4)). Suppose 3*p - 4*y - 19 = 0, q*p = 4*y - 2*y + 41. Find the first derivative of r + 13 - p*r + 5 - 9*r wrt r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53126539 rounded to the nearest one hundred thousand?\nAnswer: 53100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/70*20\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -85+-1043189\nAnswer: -1043274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.0000036 - -61. Round p to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 1735*n - 1732*n - 176 = 0, -12 = 4*n for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 + 7*g + 7. Let s be z(-6). Let d = 3 - 1. Let j = 65 - 60. Solve -j - s = -d*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.95*1087320.2\nAnswer: -1032954.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9661812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164085, -164080, -164075, -164070?\n\"Answer: 5*p - 164090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (596\/(-745))\/((-1)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0 + 2. Suppose 2*c + 0*c = -10, 5*c + 110 = 5*l. Let b = -10 + l. Solve -b = 3*s + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 4. Let d = -532315289\/641123 - -3\/91589. Let i = d - -827. Calculate the common denominator of x(-5) and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*273\/(-429)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15133*d + 30272*d - 2654 - 2058*d**2 - 15139*d - 90*d**2 wrt d.\nAnswer: -4296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1326*g - 5*y + 48 = 1329*g, 5*y = -5*g + 50 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from pdmddppdpppdm.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13114, -26957, -40800?\nAnswer: -54643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12d85 - -3?\nAnswer: 12d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/(4*(-8)\/(-20)*-1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 12)*(3*i**2 - 3*i**2 + i**3)*(3 - i - 3).\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -79*z**7\/35 + z**6\/60 - z**5\/6 + z**4\/24 - 908*z**2. Find the third derivative of b(o) wrt o.\nAnswer: -11376*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 237831440 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l + 26. List the prime factors of s(23).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 28\/8557?\nAnswer: 28\/8557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11079*a**2 + 11082*a**2 - 5143*a**3 - 22161*a**2.\nAnswer: -5143*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:34 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/(-4)*-5. Suppose 133 + 32 = 3*h. What is the greatest common factor of h and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25839 + 0.1?\nAnswer: -25838.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 + c. Suppose 0 = -3*r + r + 12. Let f(d) = -r*d**3 + 1 - 4*d**2 - d + 5*d - 3 + 0*d. Calculate -f(o) + 4*n(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 59*h**2 + h + 15. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2420 and -137\/1760?\nAnswer: 19360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 209574*c. Let f(p) = 48*p**2. Give d(f(a)).\nAnswer: 10059552*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1029)\/(-98))\/((-3)\/(-16)). Calculate the highest common factor of 462 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1527468800\/(-35) - 1) + (-4)\/14. Let d = k - -92241955. Let n be d\/(-36) - (2\/6 - 0). Round n to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzcgh. Give prob of picking 1 z and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26768 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/253246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4079*l + 209. What are the prime factors of a(-5)?\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9144*7.\nAnswer: 64008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l + 9. Give i(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -70. Let t = 10.6 - z. Let l be (2\/(-4))\/(7\/2). What is the second smallest value in t, l, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 8, i: 8, z: 1}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019737615 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:47 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 1. Let n(l) = -l - 1. Let k(r) = 5*r + 5. Let q(g) = k(g) + 4*n(g). Let h(m) = -o(m) + 3*q(m). Determine h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41540237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5 - 164*a**4 + 1236*a**3 + 4644*a**2 - 21600*a - 60912 = 0.\nAnswer: -47, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 - w + 6. Let i be l(0). Suppose -i*r - 426 = 108. Let f = 125 + r. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188148.\nAnswer: 2, 3, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 19.13, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725669524.\nAnswer: 2, 4861, 37321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 15 = 35. What is the third derivative of 80*w**5 + 19*w**v - 4*w + 13*w**2 + 12*w - 8*w wrt w?\nAnswer: 4800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 4*i - 3*i**3 + 0*i**3. Let v(x) be the first derivative of x**4\/4 + 7*x**2\/2 + 4. Determine 7*h(o) + 4*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*a)*(-1 + 0 - 1)*(0 + 3 + 0)*(-2*a**3 - 4*a**3 + 3*a**3).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-414*k - 2595*k - 754*k)*(-5*k + 0*k + 6*k)*(-k - 2 + 2).\nAnswer: 3763*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 31. Let v be c(5). What is the greatest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b - 1. Calculate the least common multiple of u(-4) and 17\/3 - ((-7)\/21 - 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let u be i(-2). Suppose 2*p - 3*d - 7 = 0, 5*p + 0*p - 2*d - 12 = 0. What is the derivative of -2 + 10*j**p - u*j**2 + 4 wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31335121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, 1605, 2399, 3187?\nAnswer: 3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2574*q**2 + 2*q**3 + 2567*q**2 + 6*q - 4*q. Let j be (0\/(-1))\/2 - -5. Is a(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 - 637\/42 - 151\/(-888). Let f be 492586\/(-12432) - 2\/(-7). Let q = f + d. Which is smaller: q or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 6*(-2 + sqrt(833)).\nAnswer: -12 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3963 + 4023, -44 = -2*m - 4*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 1423*k**5\/15 - k**4\/24 - k**3\/3 + 28*k**2. Let x be p(2). Let q = 100236 + x. What is q rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 - -6 - 2. Suppose 15 = x - d. Suppose b = -5*g + 2*b + 23, 4*g - b = x. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w\/(w**(-14)\/w*w)*w)\/w)\/((w*(w*w**(-1\/20)*w*w*w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 11 = -2*k - 50, 2*k - 3 = -u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.1, 0.2, 0.39, 2, 38.\nAnswer: -6.1, 0.2, 0.39, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3260 + -1626. List the prime factors of g.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 3*r + 2. Let v be j(2). Let q(d) = d + 1. Let l be q(v). Let z(g) = 10 + 2*g - 5 - l*g - 3. Determine z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1269 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -3 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -46989.14.\nAnswer: -4698.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 115\/(-15) - -7 - (-8)\/(-6). Let x(j) = j**3 + 2*j**2 + 2*j - 1. Determine x(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21392, 42743, 64100, 85463?\nAnswer: 106832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-31)\/(372\/(-21756)) - 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129893718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, z: 3, l: 1, p: 5}. What is prob of picking 1 m and 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11100100111101001001 (base 2) to base 7\nAnswer: 10654054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eig when three letters picked without replacement from {g: 10, i: 4, e: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -27*t + 20. Let f(x) = 1156*x**3 + 1431*x**2 + 291*x + 13. Let a(u) = u**2 + u - 1. Let n(j) = t*f(j) - 3*a(j). Factor n(m).\nAnswer: 4*(m + 1)*(17*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4)*a)\/(a**1*a)*((a*a*a\/a**(-2\/5)*a)\/a)**49 assuming a is positive.\nAnswer: a**(813\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14668241303 plus 664?\nAnswer: -14668240639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)\/x*x)**(27\/4))**(35\/4)*((x\/(x**(-3\/5)\/x))\/x)\/((x\/((x\/(x**(3\/5)*x))\/x))\/x)*(x\/x**0)**(3\/5) assuming x is positive.\nAnswer: x**(969\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195881.\nAnswer: 7, 27983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -748472.\nAnswer: -51\/187118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 1957 = 174*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*g + 4*i, 5*g - 99 = -5*i + 2*i. What is the remainder when (-3)\/((-3)\/17) - 2 is divided by (g\/(-15))\/(3\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1\/4, 2\/15, 2, -7, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 13*n - 20. Solve -n = 3*o + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/4 - 2877*q**4\/4 + 5757*q**3\/4 - 2879*q**2\/4 = 0. Calculate q.\nAnswer: -2879, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.8 - 23.3. Let k = 1 - 8. Let b = 11 + k. Put w, 1\/5, b in ascending order.\nAnswer: w, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 4*m + 2*m)*(-2 + 2 - m**2) + 3*m**3 + 2*m**3 - 6*m**3 + (10 + 2*m**2 - 10)*(-4*m + 0*m + 2*m) as p*m**2 + w + z*m + u*m**3 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.37456 to 1 decimal place.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 + 7*g. Let h be m(7). Suppose h*w - 2*w = 5*i - 34, 3*i - 3*w - 12 = 0. Let r(k) = k**2 - 5*k + 4. What is the tens digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 21 = -2*v + 4*v, -4*y = v - 22. Let j = 1.37 + -1.57. Put v, j, -1 in descending order.\nAnswer: v, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 81*n**2 + 188. Let d(x) = -11*x**2 + 169*x**2 + 81 + 280 + 15. Let o(b) = 4*d(b) - 7*k(b). What is the derivative of o(v) wrt v?\nAnswer: 130*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5 = -5*g, 97*g = 101*g + 5*i - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t + 39*t + 5*t + 18*t.\nAnswer: 129*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 12. Let p(h) = h**2 - 6*h + 7. Let g be p(6). Let w be z(g). Sort w, -3, -1 in ascending order.\nAnswer: w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/442, 5, 84, -5 in ascending order.\nAnswer: -5, -3\/442, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -13. Let q = -16 + 16. Suppose q*c + 4 = a*c. What is the lowest common multiple of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 16*h**3 + 52*h**2 - 48*h.\nAnswer: h*(h - 12)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 - (46 + (3 - (18 - 1)) - 17).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x + 2. Let b be r(-4). Let g = -6 - b. Suppose 0 = -a + 2 + g. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -781*-153\nAnswer: 119493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-39))\/((-84)\/(-182)))\/(2\/184*-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46168228 - 25878656 = -6*l. Suppose -42186 = 5*w + l. What is w rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 64 (b) 1.4 (c) 0.14709 (d) 1\/3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259987513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 3. Let d be j(5). Let v be 4*(d\/8 - 0). Is (141\/(v\/(-2)))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmp when three letters picked without replacement from epmpppmpmpzxep?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 20*z**7\/21 + 17*z**4\/6 - 33*z + 28. Let q(x) be the first derivative of h(x). What is the third derivative of q(r) wrt r?\nAnswer: 2400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833886668 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 125046019.\nAnswer: -12504601.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -20345844971.\nAnswer: -20345844973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 8*j**2 - 9*j. Let g = 30 - 21. Let c be s(g). Let q be c + (0\/3 - 4). Sort 5, q, -0.1 in ascending order.\nAnswer: q, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-6)\/sqrt(11))\/(2*sqrt(8)*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 7*k. Suppose 2*m - 28 = p + 7, k*m = -5*p + 29. Let b = 29 - m. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011011100011001000 (base 2) in base 11?\nAnswer: -3a5758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.5, 0.8, 1, 4, -31, -4\/17 in decreasing order.\nAnswer: 15, 4, 1, 0.8, 0.5, -4\/17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -1.6543?\nAnswer: 2.1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -5\/4*h**4 + 65 - 180*h - 90*h**2 - 55\/3*h**3. Factor i(t).\nAnswer: -5*(t + 2)*(t + 3)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Solve -3*b = -5*g + 26, -4*b - 14 - 10 = -q*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10645386 by -10645386.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 117 + 33)*((-2*d**4 + 4*d**4 - 3*d**4)*(-3*d + 0*d + 4*d) + 4*d - 2*d**5 - 4*d).\nAnswer: 69*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8042?\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1111110 (base 2) to base 9\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34287 divided by 3\nAnswer: -11429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -103*j. Let d(n) = 24000*n. Calculate 3*d(r) + 700*s(r).\nAnswer: -100*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12*x = -13*x + 6, 5*x = -3*a - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let s = -3 - -4. Let i(j) = -j. Let k(o) = s*d(o) - 2*i(o). Determine k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289842*a*r**2 + 22*a*r - 40015*r**2 + 153*r wrt a.\nAnswer: 289842*r**2 + 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**2 + 2*r**3 + 72*r**2 - 7*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 3*d - 539 + 521, -4*d = 3*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4709743400 to the nearest one million.\nAnswer: -4710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/41 + 74\/287. Let q = 47.451 + -45.5. Let p = q + 0.049. Which is the closest to p? (a) w (b) 0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 3*l = 36, -3*q + 3*l = 30. Let s(k) = -55557*k**2 - 8*k + 4. Let d be s(q). What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14 + 17 + 2*z - 8. Calculate the remainder when 36 is divided by v(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2)\/(4\/384). Suppose 5*v + 2*k = -p + 258, -5*v + 2*k = -178. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95629\/99 + -966. Let i = 9365\/792 - p. What is the common denominator of i and 91\/106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/2, 68, 4, 0.1 in descending order.\nAnswer: 68, 4, 0.1, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 1, k: 1}. Give prob of sequence kai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 3*k**3 - 3*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274157 - -421957. Round t to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 6 + 7*r - 40)*(6*r**3 - r**2 + r**2) in the form b*r**3 + m*r + k*r**2 + d*r**4 + z and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-1)*(-1210)\/(-330). Which is smaller: l or -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59949739 less than 59949736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 0.3 (c) 5203269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271703 (base 13) to base 7.\nAnswer: -11016500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9068412*j - 7*j**2 + 9068412*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 + (12\/(-1) - -43). Suppose i = -2*q + 25, 72 + 19 = 4*i + 5*q. Is i at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*0 - -2. Suppose -v*p + 0 = 2*k + 2, -p - 5*k - 13 = 0. Solve 6*i = p*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 9*a + 12. Let l = -10 + 14. Let q be c(l). Calculate the greatest common divisor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(7 + -27056*(-69)\/(-266694)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.5, 4\/9, -1, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-35)\/(-3) + (-5)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 51510231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/21 - -13\/84. Let g = -0.1295 - -0.1295. What is the second biggest value in o, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 11*o**2 - o - 11. Let m be y(-11). Suppose -5*v + m*x = x - 155, 0 = -5*v - 3*x + 165. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n - 2*t + 25, 0 = -3*t - 6. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z**2 + 2)*(11*z + 87 - 87 + 5*z)*(5*z + z + 3*z).\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 32 + 6*m - 2*m - 78.\nAnswer: 9*m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72180078 by 5182.\nAnswer: 13929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/156 and -71\/3102.\nAnswer: 80652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 10 - 3*f**2 + 11 as q*f**2 + d*f + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 676 - -c6?\nAnswer: 75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 - 3*c**2 - 8*c**2. Let m(s) = 0*s - 2*s + 0*s. Let j(f) = -10*f. Let a(r) = 4*j(r) - 22*m(r). Determine a(u(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + (-1018)\/4072?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000)\/sqrt(4) + (sqrt(10)*-1 + sqrt(10) - sqrt(10))*4)\/(sqrt(80)*-1 + sqrt(320)*-1))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 3523484*v**2 + 3523484*v**2 + 771*v.\nAnswer: -2*v**3 + 771*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + 24?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v**6 - 29*v**2 + 0*v**3 + 5\/8*v**4 + 0 + 1\/210*v**7 + 0*v + 1\/30*v**5. Find the third derivative of c(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 = -123*q + 914 + 1220 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28. Put 9, t, 2 in ascending order.\nAnswer: t, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4 - 345*v**3 - 1950*v**2 - 3820*v - 2520 = 0.\nAnswer: -63, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2 - 42825*m - 42822 = 0.\nAnswer: -14274, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (43524\/(-2))\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11247\/8 - -1406. Let h(f) be the first derivative of 8 + 0*f - m*f**3 + 3\/16*f**2. Find x such that h(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2392, 4203, 6014?\n\"Answer: 1811*m + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 - 3*x + 7. Calculate the remainder when w(4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/2 + 556*j. Let d(w) = 5*w**2. Determine d(n(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*g**3 + 170*g**3 + 73*g + g**4 - 81*g**3 + 110*g to w*g + d*g**4 + x*g**3 + h + t*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k)\/k)**(26\/9) assuming k is positive.\nAnswer: k**(-182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -483 + 505. What is the highest common divisor of n and 4422?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(160\/(-60) + 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36, 1, -1.4381 in decreasing order.\nAnswer: 36, 1, -1.4381, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14005567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -5, -2\/9, 0.1, 269?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5348527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 28 = -5*f, 4*f - 75 = 2*t - 5. Let h(a) = 2*a**2 + 63*a - 94. Let l be h(t). Solve -3*s - v - 1 = 0, -2*v + l - 14 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.748 + -57. Let v = -0.8 + u. What is v rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f**(-3))**(1\/64) assuming f is positive.\nAnswer: f**(-1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049035635 rounded to 6 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 39*a + 172. Calculate g(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/84)\/((-13625)\/(-10900))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let q be r(-7). Suppose z + q = 2*m + 1, m = -z + 5. Let a be (-4)\/(-3) + 20\/30. Put a, m, 1 in decreasing order.\nAnswer: m, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(8\/5)\/v*v**(4\/5))\/(v\/v**12*v**(-2\/17)) assuming v is positive.\nAnswer: v**(1149\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187248 by 4.\nAnswer: -46812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -104 + 44. Let v = z + 35. Suppose -p - 95 = v. What is p rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (1 + (-7 - 2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from xxmooooib.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**7 + 1\/112*i**8 + 0*i - 1\/40*i**6 + 0*i**3 + 0 - 2*i**2 + 0*i**5 + 0*i**4. Factor x(t).\nAnswer: 3*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, 14, 490.\nAnswer: -23, 2, 14, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((18\/12)\/3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 3*w + 47 - 50 + (0*w - 4*w + 2*w)*(-1 + 0 - 1) - 1 - w + 1.\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828 and 552.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73928.6l?\nAnswer: 73928600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, g: 1, m: 10}. Give prob of picking 2 u and 1 m.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 3, -4\/7, -3 in increasing order.\nAnswer: -3, -4\/7, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let j be 5\/(5\/3) - o. Suppose -m + 50 = j*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 605 = -2*h, -229 = -4*d - 3*h + 577. Suppose 423 = 13*l + 46. Calculate the greatest common factor of d and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1387573 (base 9) to base 13\nAnswer: -20ac51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2022*r**3 + 1324*r**2 - 690*r + 8 = 0. Calculate r.\nAnswer: -1, 4\/337, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 13*r - 6. Let g be y(-6). Suppose 485 = -g*l + 5*l + 5*x, -l = -3*x - 93. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*f - 1618*f**3 + 0*f + 5*f + 1620*f**3 to k + r*f**2 + m*f**3 + h*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f + 13. Let t be h(-8). Calculate the remainder when 69 is divided by 33\/(-22)*38\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51211+56030\nAnswer: 56030.51211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27157\/5 - 8907671\/1640. What is the common denominator of 79\/16 and m?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497*n + 4439*n - 1473*n - 1467*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -17.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 307 - 100 = 51. Suppose 0 - 21\/4*q**2 - 3\/4*q**o + 0*q + 6*q**3 = 0. Calculate q.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose 3*l + p = 144. Suppose 2*f = -3*w + l, -4*w - w = -2*f + 48. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l - 2. What is the second derivative of 3*b**5 + 3*b**5 - l*b**5 - 2*b wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33675 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128.6 + 21.6. Let r = -104.7 - d. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 2050*t**2\/3 + 33184*t\/3 + 44416.\nAnswer: -2*(t - 1041)*(t + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:55 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-18)\/(-567)*-45*5\/(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*y + 7*p, 37 = -2*y + 142*p - 139*p. Let o be (-6)\/(-12)*(-8)\/(-10). Which is the closest to o? (a) y (b) 10 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1)\/2*151*3\/(81\/(-19818))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 641.1751 millimeters?\nAnswer: 0.6411751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -742990 divided by 33?\nAnswer: -742990\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11091?\nAnswer: 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(18\/(-8)))\/((-84)\/126).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 138 from -19111.\nAnswer: -19249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1105 + 1490. What is the remainder when h is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84545)\/2742*(-1)\/15 + 12\/27\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -31 + (-1 - -24) - 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01373 rounded to four decimal places?\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.2 - -17. Let k = -15 - o. Which is the biggest value? (a) -3 (b) k (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 0.1.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -40. Suppose 0 = 4*r + v, g*v = -4*r + 4*v. Let t = -4 + 9. Solve 5*s + t = -r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 2655*z - 546754. Calculate f(225).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -58, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*-6)\/(5\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7070 and 6055?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:27 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 6*l**5\/5 + 4*l**3 - 18. Find the third derivative of c(d) wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + 105\/(-63). Put 5, 4, r, -12 in decreasing order.\nAnswer: 5, 4, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31416 and 462077.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (16 + -3) - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 + 135*a**4 + 595*a**3 + 765*a**2 + 310*a = 0.\nAnswer: -2, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(192) + sqrt(27)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + -1*(sqrt(300) + -1)**2 - ((3*sqrt(2430) - sqrt(2430))\/(1*sqrt(90) + sqrt(90) - sqrt(90)))**2.\nAnswer: -408 + 57*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-4 - 69\/(-15)). Solve h*g**2 + 4\/5*g - 6\/5 = 0 for g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 492*m - 12247. Determine w(-21).\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 2*m**2 - m - 1. Let q be j(-1). Let v be ((10*2)\/(-4))\/q. Find the third derivative of -19*t + 19*t + v*t**2 + 4*t**6 wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(5 + sqrt(245) + sqrt(245))*-4 + 2.\nAnswer: -336*sqrt(5) - 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-15)\/25*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 14*k + 126. Suppose 0 = -5*x + k + 2. Suppose 2*i = -3 + x. Solve i = -3*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + 1443134?\nAnswer: 1443050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 205*f + 22650 = -485*f for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -24 + -45 - -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/4 - 16*r**3\/3 - r**2\/2 - 17*r + 2. Suppose 4*z = -4*f - 9 - 27, 0 = 4*f - 28. What is w(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1) + 0 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3857*p - 3838*p - 1501*p - 736*p - 5784*p.\nAnswer: -15716*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 100*y + 10543. Determine p(52).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (1 - 10 - (17 + -5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k*k*k\/k**(-4))\/((k\/(k\/(k*k*k**29)*k))\/(k*k**(1\/2))) assuming k is positive.\nAnswer: k**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 + 2*(-4)\/8. Suppose -s = -q + 2*d, 5*q - 4*d + d = 131. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 132*v**4 + 1484*v**3 - 5948*v**2 + 2112*v + 9680 = 0. Calculate v.\nAnswer: -1, 2, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109060 and 336938.\nAnswer: 64018220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 56. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 83, -8 in increasing order.\nAnswer: -8, -3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4798951 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, f: 1, z: 2, a: 1, e: 1}. What is prob of sequence ftz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 8*b - b)*(3583 - 3*b + b**2 - 1807 - 1856) in the form w + q*b**3 + t*b + f*b**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/2 - 2*v**3 + 3*v**2 - 2*v + 10. Suppose m(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) - (sqrt(684) + -1))**2*6*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -330, -5, -2, 205, 5, 3 in decreasing order.\nAnswer: 205, 5, 3, 2, -2, -5, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00374422826 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 686\/677 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -889, -1004, -1117, -1228, -1337, -1444, -1549?\n\"Answer: a**2 - 118*a - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810022 and 84?\nAnswer: 34020924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (9\/3 - -1). Let r be o + -6 - (-9 + 0). Factor -5*c**5 - 7*c**r + 5*c**3 + 11*c**4 - 31*c**4 - 9*c**3 + 4*c**2.\nAnswer: -4*c**2*(c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 22526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65689699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 11, i: 9}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 222619 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = 2*h. Let a be 2\/2*(2 + 2 - 8). Let w be ((-2)\/a)\/(14\/84) - 3. Solve w = h*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 8*t + 47 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 41583 = -2*m, 5*s + 41044 + 509 = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1668763, -7, -5.\nAnswer: -7, -5, 1668763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*s - s - 7 = 0, -4*s + 8 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 13*z - 12. Let q be p(-5). Suppose -3*d + 7*d = -m + 22, -5*m + q = 3*d. Calculate the remainder when 75 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*s + 4. Let z(b) = -b**3 - 4*b**2 + 4*b - 4. Let p be z(-5). What is the remainder when p*2*(-40)\/(-5) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 8. Let b be p(6). Let j be 0*4\/8*b. Suppose -d - 17 + 144 = j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4781566.8200004 - -4781566. Let h = t + 0.82. Round h to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10201122222 (base 3) to base 14\nAnswer: 1ca5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.001785 - 0.001785. Let r = -0.11 - -58.11. Is g >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13384217 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 32, -3\/41?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3937 - -8821. Is h a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1\/163, -1, 1\/62 in decreasing order.\nAnswer: 9, 1\/62, -1\/163, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-148)\/(-2)*3. Let o = 5678 - 5750. Let l = o - z. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.37 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -33?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -13, 0, 5 in ascending order.\nAnswer: -13, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 4*w - 16 = 10*t, 2*t - w - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/120 - l**5\/60 + l**4\/24 + 4*l**2. Let g(b) = -3*b**3 - 8*b**2 + 3*b + 3. Let c(s) = -g(s) + 2*x(s). Calculate c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29855 by -94.\nAnswer: 29855\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.61 and 205.\nAnswer: -2380.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + j**2 + 4*j + 5. Let i be w(-2). Find the first derivative of -i*q**3 - 38 + 107*q**2 - 107*q**2 wrt q.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 0*q**2 + 0*q**2 - 4 + (-q**4 + 0*q**4 + 3*q**4)*(0 + 2 + 0) + 3*q + 2*q**4 - 3*q - 2*q**4 - q + q + 0*q**4 + 0*q**4 - q**4.\nAnswer: 5*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 149. Suppose 0 = u*o + w - 11, 7*o - 3*o + 7 = 3*w. Suppose -x + 5*d = 12 + 12, -4*d + 24 = 4*x. What is the highest common factor of o and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 483\/(-23)*(-6)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/535 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*u + 14 = 0, 0 = -n - 5*u + 2 + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1. Let h(y) = -y**3 + 6*y**2 - 7*y + 3. Let l(w) = -h(w) - 4*v(w). What is the units digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/170355 and 67\/1476.\nAnswer: 2044260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/8 - (-8 - -5).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/3 + f**2 + 5*f + 7. Let c(i) be the first derivative of l(i). Differentiate c(v) with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527589 is divided by 175774?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty sevenths of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.8 (b) 4 (c) -0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, -24, -2, -14, 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2774 - 2774 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5204 + -5199. What is the third smallest value in 3, 2\/89, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 669.0028 + -669. Round l to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613360543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 2 - 4 + 28 - 13. Determine i(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -832.4 - -832. Which is the nearest to -0.5? (a) 1 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88990905 or -88990907?\nAnswer: -88990905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4003*d*q**2 - 2242*q**2 wrt d.\nAnswer: -4003*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + -0.3. Let u be (9*(-3)\/(-6))\/(-3). What is the closest to 3 in u, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 237?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, 1\/4, -3252?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17811*j**2 + 106851*j - 90.\nAnswer: 3*(j + 6)*(5937*j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1395)\/(-90))\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -12. Suppose 5*y - 2 = -3*x + a*x, y = 2*x + 4. Let j = 6 - y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -58. Let h(q) = 8*q**3 + 5*q**2 + 8*q + 7. Let d be h(-1). Which is the closest to 0? (a) -2\/3 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -238*((-81)\/(-486))\/((-77)\/(-99)*-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q + 14. Suppose 0 = 4*p - o + 2*o + 59, -4*o + 20 = 0. What is the tens digit of g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 320.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/10)\/(6\/(-8)). Solve -6*k**t - 6*k**2 + 4*k**2 + 4*k**2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 - 1. Let o(t) = 14*t**3 + 50*t**2 + 14. Give o(f) - 12*u(f).\nAnswer: 2*f**3 + 2*f**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(4752)*-1 - sqrt(33) - (1*sqrt(825) - sqrt(825))))\/((sqrt(891) - 2*-2*sqrt(891)) + (sqrt(891) - -1*sqrt(891)*1)).\nAnswer: 26*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2 + 2)*(33 + 229 - 526 - 568 - 388).\nAnswer: 3660*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvpsjww. What is prob of sequence wsy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034810 is divided by 344748?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1369, 1192, 993, 772?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 2?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 45*l**5 + 2805*l**4 + 41315*l**3 - 74565*l**2 + 35520*l - 5120 = 0.\nAnswer: -32, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 26. Is -6 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(80) - (-3 + 2*sqrt(5) - sqrt(5))) + 3) + 1 + (5*(sqrt(20)*-1 - sqrt(20)))\/(3*(sqrt(16) - sqrt(4))).\nAnswer: -100*sqrt(5)\/3 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -71, -73, -75?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000692599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**3*k**2 + 3143*g**3*k*w + 18*g**2*w + 11265*g*k**2*w wrt g?\nAnswer: -60*k**2 + 18858*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7715008643.92944085810736157 - -0.92943914810736157. Let f = -7715008733 - v. Let d = 90 + f. What is d rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 10:15 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6588159414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.557 rounded to one dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-21) - (-8 - (-9)\/3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -2 - 2 - -1. Suppose 0 = -4*y + 2*j - 1 - g, -3*j + 25 = 5*y. Find the second derivative of b**2 + b - 2*b - b**y + b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 2*v. Let k(p) = 17*p**2 - 9*p. Let b(g) = -2*k(g) - 9*l(g). Let y(t) = -5*t**2 + 2. What is b(y(u))?\nAnswer: 50*u**4 - 40*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 121, -5 in decreasing order.\nAnswer: 121, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 + 4*t + 86. Let m(g) = 3*g**2 + 5*g + 91. Give -4*l(p) + 3*m(p).\nAnswer: -19*p**2 - p - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-8 - -4) + -4). Let x(a) = 2*a + 3. Calculate x(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 1473*y + 143642. Let o be u(105). Determine k, given that -6\/5 + 7\/5*k**3 + 11\/5*k**o - k**4 - 7\/5*k = 0.\nAnswer: -1, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**8\/1680 - v**7\/1050 + v**6\/600 + v**5\/300 - 8*v**2. Determine m, given that y(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -0.28953 (c) -0.1 (d) -3\/4 (e) 3\/7 (f) -23 (g) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -77, 0, 1, 3, 1\/7 in descending order.\nAnswer: 3, 1, 1\/7, 0, -1\/6, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - 2*y + 1. Let u(x) = 2*x**3 - 6*x**2 - 6*x - 15. What is 3*j(w) - u(w)?\nAnswer: w**3 + 3*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 - o**2 + o + 1. Let z(t) = 2*t + 1. Let b be z(-1). Calculate r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94 - 18 - 61 - (102 - 0)) + (-5 - -17)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7383643?\nAnswer: 1429, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36e (base 15) to base 11\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 4*b**3 - 51*b + 25*b + 26*b.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238297?\nAnswer: 17, 23, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 10 + x**2 - 3 - 6 - 2*x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 6 - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9 times 96198?\nAnswer: -2876320.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20150, -20149, -20148, -20147?\nAnswer: -20146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 677621256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 4*l**3\/3 + 6. Let r(a) be the third derivative of a**5\/30 - a**2. Determine m(r(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 1. Let i be q(-4). Suppose 52 = -i*o + 4*o + 5*s, 4*o = s + 103. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z - 2169. Determine r(-174).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + -2. Let a = o - -66. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u + 3 - 475*u**2 - 7*u + 477*u**2)*(-3 - u + 3) - 3*u + 3*u + u**3.\nAnswer: -u**3 - 3*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087384 rounded to 3 decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 48*t**2 - 939*t - 4456. Give a(18).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, -20*g + 22*g = 2*u + 11028. Calculate the highest common divisor of 62 and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6527 or 26113\/4?\nAnswer: 26113\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 - 19890?\nAnswer: -19843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 3*s - 15*s + 4*s + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 21 = -4*r, 0*c + c = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7858 = 396*h - 5384 - 6558 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2866.579t?\nAnswer: 2866579000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 168387 - 12945 = -46548. What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*r + 102*r = -117*r - 4*f - 8, 0 = 2*r + 5*f + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 141966?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-264)\/(-44))\/((-7)\/1))\/(4\/126).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*z = 655*z + 558 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:57 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10456547 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z - 5. Let o(d) = 9*d - 7 + 1 + 2 + d. Let s(k) = -4*l(k) + 5*o(k). Let r(j) = 2*j**2. What is r(s(q))?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9341.332l in millilitres?\nAnswer: 9341332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 174812*d**2 - 87408*d**2 + 8*d**3 + 206*d - 87405*d**2 in the form w + b*d**2 + v*d**3 + t*d and give t.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b = 55*b - 3843. Calculate the greatest common factor of 61 and b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -5 + -1*(2*sqrt(125))**2*-1.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(5\/((-20)\/12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from fwfwwfdzff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*n - 70, 0 = 4*f - 2*n - 29 - 27. Let t = f - 8. Let a(m) = -m**3 + 5*m**2 + 6*m + 6. What are the prime factors of a(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1280 (b) 139\/5 (c) -2\/327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1812.1 and 115.\nAnswer: -1697.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (-3 - (2 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 163 (b) 12 (c) -2 (d) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5889*w - 545275 - 335495 = -276446 + 220136 for w.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3 and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 106.07. Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.66 + 5. Let v = 0.44 - b. Let d = -0.1 - 0.2. What is the second biggest value in v, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*o*x**4 + 30*o*x**3 - 9714*o - x**2 wrt x.\nAnswer: -596*o*x**3 + 90*o*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 81315*m**2 + 162627*m + 81313.\nAnswer: (m + 1)**2*(m + 81313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(2 + 7) - 23062\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -400*i + 23. Does 13 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 - -4) + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4239 = 603*h + 7218 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p. Suppose 29 - 50 = -7*w. Suppose 2*g + 5*x = w, g + 4*g + 3*x - 17 = p. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.157 and 46.35.\nAnswer: 46.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s**3)*(-13*s + 3*s - 30*s) - 3*s**4 - 3*s**4 + 5*s**4.\nAnswer: -41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 + 16*a**3 - 42*a**2 + 44*a - 16 = 0. What is a?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2 - 2)*(0 + 0 - 1)*(-2*w + 2*w - w) + w**2 - 5*w**2 + 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.2 + -10. Let x be (-12)\/66 + 34\/66. Sort 1\/7, q, x in increasing order.\nAnswer: 1\/7, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11)*-5 + 4 - (sqrt(704) - -4*sqrt(704) - sqrt(704) - sqrt(704))*6)**2.\nAnswer: -1232*sqrt(11) + 260892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 82 = 94. Suppose 2*f + k = 6*f. Let p(s) = 3*s + 3. Let w(l) = -5*l + 3. Let q(v) = 6*v - 4. Let i(y) = -4*q(y) - 5*w(y). What is f*i(m) - p(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -97*k**2 - 33*k - 97. What is x(-3)?\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -21. Sort d, 2, 1.\nAnswer: 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 4*p**2 - 14*p - 12. Give h(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(-3 - 1 + 6)*(-5 + 3*s - 42*s - 98*s).\nAnswer: 1918*s + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -20, 20, 60, 100, 140?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.3 - -12.5. Put 1, 0.4, l in increasing order.\nAnswer: 0.4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 13360 + 10 + 9*(-13)\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 6*s - 4*s)*(11*s**2 + 27*s**2 + 84*s**2).\nAnswer: 244*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s - 616. Let m(h) = -36*h - 1847. Determine 10*f(n) - 3*m(n).\nAnswer: -2*n - 619","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -80*y + 152. Let j = 133 + -121. Let z(k) = 32*k - 61. Let o(w) = j*z(w) + 5*u(w). What is the derivative of o(a) wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2152 and -0.2?\nAnswer: 2151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((960\/(-250))\/(-32))\/(18\/10) + (-16)\/165\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(2299) + (-5*-2*sqrt(2299))**2.\nAnswer: -11*sqrt(19) + 229897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (15 + 2)) + 905 + -905?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, n: 5}. What is prob of sequence nan?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/120 + 131*o**5\/160 - 22*o**4 - 363*o**3\/16 + 181*o. Factor q(p).\nAnswer: -p*(p - 33)**2*(2*p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xyxesttxeyetfef.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjnsnsi. What is prob of picking 1 i, 1 s, and 1 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a. Let d(z) = -6*z. Let y(x) = 2*x**3 - 40*x**2 + 71*x + 22. Let j be y(18). Calculate j*d(h) + 5*k(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154\/87 + -32\/29. Let q be 18\/(-20) + 1\/1. Put m, q, 3 in descending order.\nAnswer: 3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-470)\/(-6768))\/(10\/(-6)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 35*g - 6. What is the thousands digit of d(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -43 + -85 + 40\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 144. What is the remainder when 5\/(15\/d) - -3 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**5 - 37*r**4 + 27*r**3 + r**2 + 7. Let h(k) = -k**5 + 12*k**4 - 9*k**3 - 2. Let u(a) = -7*h(a) - 2*o(a). Find l, given that u(l) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.4 - 47. Which is the smallest value? (a) 3\/7 (b) -0.8 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 357\/18 + (-3)\/(-18). Suppose -w = 2*r - d, -35 = -5*r - 0*w + 5*w. Calculate the remainder when 26 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81444 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 0, -3*v - 573 = 4*z + z. What are the prime factors of (-6)\/(-4)*2 - (9 + v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.64 - -1.04. What is the nearest to -1 in 0.08, 2, n?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -654, -5, 2, -1 in ascending order.\nAnswer: -654, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14636936, -29273864, -43910792, -58547720, -73184648, -87821576?\nAnswer: -102458504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63205\/12 + 5278. Let y be 1 + (722\/(-357) + -3 - -4). Let x = y - 11749\/1428. Calculate the common denominator of x and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8293 * -44.053\nAnswer: -365331.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 3*b - 4. Let g = -4 + 8. Let y = g - 8. Determine t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 3. Suppose 4*x - z - 77 = 0, 5*x + 2*z = -9 + 102. Let b = -15 + x. List the prime factors of h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + 4 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -265542, -264957, -264370, -263781?\n\"Answer: b**2 + 582*b - 266125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3 + 7*o**2 - 3*o - 136. Let l be q(4). Solve 0 + 5 = l*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -3*p + 11*b + 6509, 0 = -4*p + 2*b + 8682. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16725067 + 0.03274891. Let v = -0.2 - 0. Let s = v + f. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let w = k + -3. Let m = -0.5 - -0.2. Sort m, w, 0 in ascending order.\nAnswer: w, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -6. Suppose r - 115 = 4*b - a*r, 0 = 3*r - 15. Let h = b - -26. Solve 4*f = 2*i - 1 - 3, f = -4*i - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 646918 - 342545. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.349 and -61.\nAnswer: -875.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 2 v when four letters picked without replacement from vvvyvoqqyvsqqvvyyvo?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x. Let c = -15 - -3. Let s be 2\/(-5) + c\/(-5). Let m(a) = s*a - a + a. Give o(m(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*d - 5*m = -196*d - 5, 15 = 3*d - m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 + 34*d**3\/5 - 1888*d**2\/5 + 1480*d + 3264\/5 = 0. What is d?\nAnswer: -17, -2\/5, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 1299, 2146, 3013, 3906?\nAnswer: 4831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1446)\/7712 + 3630\/36*(-9)\/24.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(2\/456). Let a be (-16 - -20)\/((-2)\/(-213)). Let y = z + a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 268425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.517342 nanometers in meters?\nAnswer: 0.000000000517342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 4522?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 537492619 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gow when three letters picked without replacement from lccgwco.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 176*v**2 - 28*v. Let r(g) = -32*g**2 + 5*g. Give 5*f(q) + 28*r(q).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -50, 3, -130?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o + 152 - 404. Solve -4*k - o = -4*f, -5*k + 4*f + 0*f = 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 13 (c) 2 (d) -1\/3 (e) 2519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-5))\/(2\/(-5)). Let s be (-1)\/((3\/(-4))\/3). Suppose -s*v = 2*z - 56, -v - 64 = -3*z - r*v. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 - 2*-3. Suppose -g = -q*g. Which is the closest to 0.3? (a) g (b) 2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 1\/12*h**6 - 63\/4*h**2 - 49\/2*h + 24 + 31\/4*h**4 + 3\/2*h**5 + 17\/3*h**3. Suppose z(b) = 0. What is b?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*12\/20)\/((-3)\/(-10)). Sort 3, b, 0.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 4*u - 1336 = 0. Let v = -157 + u. Calculate the highest common factor of 190 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 35130 smaller than 210781\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = q - 4*a, -31*q + a = -27*q. Sort 5, q, 11 in descending order.\nAnswer: 11, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxccxnxxxnxc. What is prob of picking 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -19435*r - 13254673. Give f(-682).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69243823.\nAnswer: 11, 23, 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**6\/180 - y**5\/90 + y**4\/18 + 5*y**2\/2 - 2*y. Let p(b) be the first derivative of i(b). Factor p(m).\nAnswer: -2*m*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from ypnnzwh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 2, -1\/9, -1\/6, 0.06?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 629907.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889738.9 grams to milligrams.\nAnswer: 889738900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w = -5. What is the units digit of (-2)\/3*(-3)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 643 (b) -763 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 13*y - 90 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2924, 9323, 19956, 34823, 53924, 77259, 104828?\nAnswer: 136631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76904925 + 0.04?\nAnswer: -76904924.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Let r(k) = -k + 4. Let w be r(4). Let q be o\/(-9)*(w + -1). Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t + 38 = -4*h + 49*t + 136*t, 58 = 2*h + 3*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 339040397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -15. Suppose 2*t - f = -0. Solve -4*w - 5 = j, -t*w + 2*w + 5 = -j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 16 + 39 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112210 (base 3) to base 15.\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + ((-2*sqrt(637)*1 - sqrt(637)) + sqrt(637) + sqrt(637) - (sqrt(637) + 3)*2))**2 + -2.\nAnswer: 294*sqrt(13) + 5779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52403929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*x - 0 + 5, 7 = 4*i + x. Let k be 3 + 33\/(-7) + i. Let g = -3 + 3.1. Which is the nearest to k? (a) g (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1927668.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 1 = 37. What are the prime factors of ((-37)\/3)\/(c\/(-84))?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 1808?\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66447584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 34*f = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -520\/11 - -4113\/77. What is the common denominator of f and (-152)\/(-24) + 2\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 < 270\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -44*a**2 - 3*a + 5. Calculate i(2).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 42 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32864 divided by -8?\nAnswer: -4108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {o: 7, a: 3, z: 3, k: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44.42867 times -1.1\nAnswer: 48.871537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) -0.4 (c) 1\/14 (d) 67 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56900 and 4100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29452*t**2 + 15*t - 370 wrt t?\nAnswer: -58904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 10380779?\nAnswer: -2076155.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005599 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhuqqqquhhuqqu. Give prob of picking 2 u and 2 h.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x. Let o be w(-5). Suppose f - 2*s - 15 = -0*s, 0 = -5*f + 3*s + o. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124324?\nAnswer: 2, 1031081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 3. Let z be (-2)\/l - (-63)\/(-150). Suppose 4*r = -3*k - 1, 2*k - 3 = 3*r + 2. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1054, 0.5, 21, -1.9, 0.2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2. Let i(g) = -12*g**2 - 8. Give m(i(s)).\nAnswer: -432*s**4 - 576*s**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -603, 4, -3 in descending order.\nAnswer: 4, -3, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (1*sqrt(102))\/sqrt(6).\nAnswer: -7 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 14. Let x be d(-11). Suppose -4*v = -12, -x*y + 5*v = 2*v - 63. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 15 + 1. Suppose k + k - q = 2*t, -3*t - 20 = -5*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c + 8 = 0. Let r(u) = u**2 - 2. What is r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 + 2*m + 6*m**4 - 4*m**5 + (3 + m - 3)*(-3*m**4 + 6*m**4 - 2*m**4).\nAnswer: -3*m**5 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*n - 174*n + 103*n - 101*n - 128*n - 44*n.\nAnswer: -459*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 95 = 5*z. Suppose 0 = -m + 2*m - 21. Suppose 0 = -2*c + l + 17, 5*l - m + 7 = c. What is the smallest common multiple of z and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49015891 is divided by 1292.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let i be -1 + 4 + (3 - v). Suppose 0 = -i*q + 5*q. Sort 4, q, 2 in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1969\/4 - 25589\/52. What is the smallest value in w, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - -2) + (75 - 113) + 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -147, 3\/2, -14?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/12*(17 - 1). Suppose -q*h + 604 = -18*h. List the prime factors of h.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50400\/182)\/(-40) - 6\/(-1)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235 + -240. Let b be (0 + (-3)\/6)\/(f\/26130). What is b rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 2*l + 210. Let q be 8\/24 + 2\/(-6). Solve q = 5*c - 5 + l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k)*(12 - 19 + 4)*(-k - 2*k + 4*k)*(1 - 1 - k**2).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from gvggyvvyfv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 281*0.1\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 226. Let i = -35 - h. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28516, -113861, -256116, -455293, -711404?\nAnswer: -1024461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-1)\/(-3)*(-54 + 58)). What is the second biggest value in l, 4, 151\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {w: 2, z: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(26) - 2*sqrt(3744)) + sqrt(26))\/(-1*sqrt(2)*-4))**2*-1 + -2.\nAnswer: -1585\/4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 66*x**2 + 119*x + 3939. Determine k(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:41 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 36.86. Sort 0.5, -1, 1\/5, t in decreasing order.\nAnswer: 0.5, 1\/5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 36*c**2 - 45*c**2 + 5.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 0.4, -3, -0.023, -0.4, 8 in increasing order.\nAnswer: -3, -0.4, -0.023, 0.4, 8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let m(l) = 562*l**2. Let y(i) = 5*i**2. Let r(o) = -5*m(o) + 60*y(o). Calculate z(r(p)).\nAnswer: -12600200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.048793 - 3.951207. Let x = 5 - 4.7. Let m = -500 + 9502\/19. Which is the nearest to 0? (a) h (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z + 805 = -79*z - 475 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((360\/(-128))\/45)\/((-3)\/12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244 + 246. Factor -u**2 + 7330*u - 7390*u - 100 - 4*u**p.\nAnswer: -5*(u + 2)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*p**2 + 10*p**3 - 300*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 + 13*o**2 - 19*o - 56. Let k(a) = -a**3 + 4*a**2 - 6*a - 19. Determine -2*d(q) + 7*k(q).\nAnswer: q**3 + 2*q**2 - 4*q - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15332809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Let n(q) = 8*q. Let c(k) = -2*k. Let v = -13 - -22. Let s(a) = v*c(a) + 2*n(a). What is s(i(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-5236)\/(-532))*(-152)\/31768.\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13843856 take away 203633?\nAnswer: -203633.13843856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let u be m(-5). Solve -4*a + u = 0, -3*c - c - 2*a + 18 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76 + 35148\/(-435))*50\/8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7597 (base 12) to base 9.\nAnswer: -825857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -107635 divided by 5\nAnswer: -21527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 91*w + 31*w + 42*w + 43*w to m*w + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 17*b**2 - 20*b + 97. What is the remainder when 424 is divided by w(18)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 20. Let t = s - 3. Solve 0 = -a + t + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5 - 9989*k**4 - 297*k**3 + 7*k + 1208125 wrt k.\nAnswer: 20*k**3 - 119868*k**2 - 1782*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*x - 3039, 0*y - 4*y = -x + 12099. Let i = 18217\/6 + y. Let f = 499\/42 - i. What is the nearest to 0.1 in f, -0.03, 1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1662, -4218, -7670, -12018, -17262, -23402?\n\"Answer: -448*m**2 - 1212*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 12261602*w**2\/7 + 24523210*w\/7 + 1751658.\nAnswer: -2*(w - 6130803)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 121100 (base 3) to base 2\nAnswer: 110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:44 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -92. Suppose 0*a + f = 2*a + 4*v, 4*a - 198 = 2*v. Calculate the least common multiple of 49 and a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/93512 and 73\/46756?\nAnswer: 93512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 + 22553?\nAnswer: 22425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x - 51*x + 25*x + 20*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let s(m) = -m**3 + 2*m**2 + 4*m. Let d be s(f). Calculate the lowest common multiple of 11 and 1*-4*d\/(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/24 - l**3 - l**2. Let a(d) = -d - 25. Let j be a(-14). Let t = -11 - j. Determine p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -886968 or -886984?\nAnswer: -886984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100\/6 - (-6)\/(-9). Let f be (-2 + p\/14)*-7. Let i = 6 - f. Is i equal to -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 11. Suppose -3*n - 28 = 2*c, 2*c + 2*c - n + 70 = 0. Let p(s) = 4*s - 4. Determine c*p(g) - 6*j(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 1. Let a(m) = -m**2 + 8*m + 10. Let r be a(9). Let x be w(r). Suppose 0 = 5*t - 25, 4*t = -3*h - x*t + 32. Solve -2*k + h = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose -2*y + b*y = 64. Calculate the greatest common divisor of y and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 24 = -25*z + 21*z, -5*w + 4*z = -48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333610, -2, 16 in descending order.\nAnswer: 16, -2, -333610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a**5 - 31240*a**4 - 222067*a**3 + 916066*a**2 - 1044480*a + 381600 = 0 for a.\nAnswer: -10, 1, 12\/11, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d + 4*d**3 + 2*d - 182*d**2 + 180*d**2 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 295.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7671 + 3838 + 23*n + 3838 + 2*n**2. Give w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s + 0*s**3 - 6*s**2 + 4*s**3 + 8*s**2 - 5*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxauwawxumxuww. Give prob of sequence maux.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 3. Let r = 19.3 + -9.4. Let i = r - 10. Which is the nearest to 0.1? (a) j (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -78. Suppose -2*c + b = 5*g, -5*c - 1 + 6 = 2*g. Let m be -2 - (32\/g)\/(-2). What is the second biggest value in m, -2, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.198381922 minus 0.011882?\nAnswer: -7.210263922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - u + 109918 + 84891 = 0, -5*u - 155853 = -4*l. Let s = l + -21962. Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r - 3*r**2 - 16*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-2))\/((-41)\/492). Calculate the highest common factor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036730934 rounded to six decimal places?\nAnswer: 0.003673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -103314, -104435, -105560, -106689, -107822?\n\"Answer: -2*u**2 - 1115*u - 102197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m. Let g(y) = -13*y. What is x(g(v))?\nAnswer: -286*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -15*q**7\/7 + 119*q**4\/12 - q + 79. Find the third derivative of o(i) wrt i.\nAnswer: -5400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10cc0 (base 13) to base 5.\nAnswer: -1440440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/12 - 0)\/(35\/37755). Let j = -359 + q. Let u = 5\/32 - -61\/224. What is the second smallest value in j, u, 3, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46172993 to the nearest integer?\nAnswer: 6795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44416 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = d, 4*h - 3*d + 6*d = 19. Let g be 2 + h - 1*-38. Let f = g - 20. Solve -4*s - 1 = -f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 450 = -23*l. Suppose 0*r = -4*r + 116. Let n = r - l. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*s**5 - 39*s**4 - 1799*s**3 + 11405119*s**2.\nAnswer: 780*s**2 - 936*s - 10794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1099134 or -1099129?\nAnswer: -1099134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-168))\/(2\/(-216)*-6). Solve 0 = 4*h + n + 18, d*n - 6 = 3*h - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*y**2 + 785*y**2 - 1568*y**2 + 5962*y.\nAnswer: -y**2 + 5962*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -172*v + 169*v - 24, 6*v = 3*m - 51 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24240.44 rounded to the nearest ten?\nAnswer: 24240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134550316?\nAnswer: 2, 1033, 32563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2 - 1*-1. Suppose m*w - 30 = -0*w. Suppose 0 = 2*u - 4*f - 9 - 15, -42 = -5*u + 4*f. Solve u*r - r + w = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2, -4\/3, -5, 3\/68.\nAnswer: -5, -5\/3, -4\/3, 3\/68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*j + 592*j + 481*j + 9*j.\nAnswer: 725*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-69)\/((-4 - -11)\/(-7)). Let p = -66 + d. Determine g, given that -3\/7*g**5 - 3\/7*g**4 + 9\/7*g**p + 3\/7*g**2 - 6\/7*g + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -35 + (2 + -5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2, 3\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Let k be -1 + (3 + 2)\/y. Suppose -95 + 15 = -k*q. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5182507 - 4?\nAnswer: 5182503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 13*m**4\/12 + m. Let s(o) = 11*o - 15. Let y(p) = -13*p + 18. Let d(a) = 6*s(a) + 5*y(a). Calculate d(r(q)).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2 - 30*n - 20. Let y(i) = -i**3 + 11*i**2 + 30*i + 21. Let g(q) = 3*o(q) + 2*y(q). Factor g(k).\nAnswer: -2*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxuuwwxwwuuuuwu. What is prob of sequence xxu?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/33250 and 43\/42750.\nAnswer: 299250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 119969.7 minutes?\nAnswer: 7198182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (65 - (3 - -38))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46a734 + -8?\nAnswer: -46a73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68035409?\nAnswer: 13, 19, 275447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 187b4 (base 12) in base 5?\nAnswer: 2120304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690431 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45\/((-14850)\/(-44)) - (-1234)\/(-30)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1085 - -1109. Solve 0 = -19*b + 11*b - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**7\/28 + 3*r**6\/20 - 9*r**5\/40 + r**4\/8 + 4*r. Factor s(b).\nAnswer: -3*b**2*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10386 - -4585. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4593440 and -109\/5167620.\nAnswer: 41340960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/665 - 35113\/14630. What is the common denominator of i and ((-69)\/(-8))\/(3 + 33\/(-12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*g + 45. Calculate the remainder when 84 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265614865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -l + 13, l = -2*z - 5. Solve -l = x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23*k - 6. Let j(q) = -3*q - 1. What is -g(p) + 5*j(p)?\nAnswer: -38*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 + 14*f**2 - 16*f**2 + (4*f - 3*f + f)*(-2 + f + 2) as m + v*f + o*f**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 + 0)\/4)\/(17661\/588 + -30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1223*c - 9242. Give r(10).\nAnswer: 2988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 + 2*j - 7. Let f be z(6). Let u = -7.63 + 7.33. Put u, -2, -4, f in descending order.\nAnswer: f, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1687844202 to the nearest one million.\nAnswer: 1688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let p(l) be the second derivative of -4*l**3 + 14*l. Calculate a(p(d)).\nAnswer: 1152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*h - 3. Let b(d) = -d**2 + 2*d**2 - h*d**2. Let t(m) = -m**2. What is b(t(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3192, -0.01, -1\/7, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176722 is divided by 739.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**2 + 5*a + 169. Let d(q) = 4*q + 4. What is -3*c(x) + 4*d(x)?\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxxxxxgxxxxxxx. What is prob of picking 1 x and 2 g?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 6:32 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - o - 224. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/336)\/((26\/42)\/13*-6).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 382 (b) -448 (c) -4\/9 (d) 0.5 (e) -2\/9 (f) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 50*l**2 - 14*l - 648. What is the hundreds digit of h(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -l + 44 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5\/5 + 34*m**4\/5 - 42*m**3\/5 - 26*m**2 - 10*m = 0.\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4082657 grams in nanograms?\nAnswer: 408265700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-1)*5 + (5*(sqrt(304))**2 - (-1*sqrt(684))**2).\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-7 - 536\/(-80))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4)*(4\/5)\/1. Suppose -2*i + 20 = 2*i. Let v be 17\/5 - 2\/i. Sort l, v, 0 in decreasing order.\nAnswer: v, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**2 + j + 2. Let w be i(3). Suppose -52*o + 103*o + 300 = 48*o. Let v = w + o. Solve 2*s = -v - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**2 + 35*d - 66. Is 117 a factor of y(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -b, -s + 76 - 97 = 4*b. Let z be (0 - -4)*(-7 + 6). Let i(h) = 5*h + 4. Let d(c) = 10*c + 9. Let w(r) = z*d(r) + 9*i(r). Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 495 + -492. Let o be ((-540)\/180)\/((-2)\/(14\/x)). Solve 5*n - o = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -107*v - 155. Suppose c = 4*p - 26, 4*c + 59 = -13*p + 14*p. Let i be w(c). What is i rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1212 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 378 - 200. Let c = h - 177.99999846. What is c rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Calculate the remainder when 19 is divided by 10\/(-6)*(h - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -3*q, -2*z + 20*q + 26 = 24*q. Let t(m) = m**2 + 6*m + 7. Let s be t(-5). Is s less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = -0*t + t, 15 = -3*t + 3*x. Let r be (1 + 12\/(-8))\/t. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2195*p**3 + 2191*p**3 + 26 + 63)*(2*p - 4*p + 4*p) as l*p**4 + s + j*p**2 + c*p**3 + h*p and give h.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 23. Let v(m) = -4*m**2. Give v(q(s)).\nAnswer: -16*s**2 - 368*s - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -6*q, -25*q = g - 20*q - 24. Solve 6*b - g*b - 9 = 5*p, 0 = 2*p - 3*b + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - (-5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14*6380\nAnswer: -89320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32873943, 65747886, 98621829?\nAnswer: 131495772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (3 + 4 + -6). Suppose 2*s = a - r*s - 622, 4 = -4*s. Let d = a + -369. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1122.13 - 1127. Round w to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/301223745 and -5\/7758.\nAnswer: 602447490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1)*2\/2. Let c be r\/(-1) + (-14 - -16). What is the greatest common factor of 45 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 12. Let y be p(18). Suppose 2 + y = 2*m. Suppose -m*n - n = -275. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98612 - 98611.9. Let w = 0.5 - 1. What is the third biggest value in f, 47, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484431922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3881*m**6*r + 8*m**4*r + m**2 + 25087*m*r + m wrt m?\nAnswer: -465720*m**3*r + 192*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n - 4*n + 4*n)*(5*n + 254 + n**4 - 254).\nAnswer: -31*n**5 - 155*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 15, -3*y = z + 2*z + 3. Suppose 11*v = 10*v + 3. What is the remainder when z\/(-8)*44\/(-2) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 5, 2, -2\/11, -4\/15 in ascending order.\nAnswer: -136, -4\/15, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*x**2 - 6*x**2 + 8*x**2 - 3*x wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 42*g - 76. Let t be a(40). Differentiate -1185 + 2574 - 1173 + 2*m**2 - 2*m**t - m**2 wrt m.\nAnswer: -8*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 - 2 = 0, -4*r = 3*j - 140. Differentiate -42 + 0*u + u**3 + j + 0*u wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/11 - 20212576*c**3\/11 - 68091384901008*c**2\/11 - 76461314115755805184*c\/11 - 152922355866133706912\/11 = 0.\nAnswer: -3368762, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2249, -5 in increasing order.\nAnswer: -5, -3, 2249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264 - -274) + -29 + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*c**2*i - 3*c*i - 2*i wrt c.\nAnswer: 334*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -f - f - 16, 0 = 2*u + f - 13. Suppose 10*g - 8*g = u. Find the third derivative of -2*q**4 - 25*q**g - 16*q**2 + q**4 + 25*q**3 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11 - 488*t**2 + 30*t - 494*t**2 + 980*t**2. Calculate the least common multiple of 5 and f(5).\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01706 in 0.13, 1, 14.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 21*f + 13. What is p(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 0. Let f be (-35)\/z - (-1)\/2. What is the units digit of 4\/10 - f\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let q = m + 1. Suppose -4*h + b = -15, -q*b + 3 = -0*b. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/10 - (152\/16 + -8). Sort 3, c, -4, 140 in decreasing order.\nAnswer: 140, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226.59169*35.\nAnswer: -7930.70915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/3 (c) 132\/937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 3*f**2 + 2*f + 1. Suppose u = -5*v + 23, -4*v + 10 = -10. What is the units digit of o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35797426 to the nearest integer?\nAnswer: 5983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 2516*x**2\/11 - 7010*x + 26400.\nAnswer: -2*(x - 55)**2*(11*x - 48)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.547, -0.20386, 2 in increasing order.\nAnswer: -0.547, -2\/9, -0.20386, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99741*p - p**4 - 4 - 1017*p**5 + 99701*p + 123*p**5 wrt p.\nAnswer: -17880*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/45)\/(2\/3)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 590*r - 2427*r + 5)*(-r**2 + 1 - 1) to y*r**3 + g*r**2 + s*r + d and give y.\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, 68, -2 in decreasing order.\nAnswer: 68, 28, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 446121 = 446233 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 37 + 10*n**2 + 166*n - 166*n - 37. Let i(v) = -16*v. Calculate g(i(l)).\nAnswer: 2560*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*m**2*u**3 + m**2*u**2 - 2*m**2 - u**3 + 45*u wrt u?\nAnswer: -144*m**2*u + 2*m**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/9*(-9)\/72*-6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287826120 by -4.\nAnswer: 321956530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - r = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - y - 21 = -b, b - y = 3. Let o(k) = 5*k**3 + k**2 - 6*k - 7. Let v(a) = -1 - 5*a + 1 + 0 - 6 + a**2 + 4*a**3. Determine b*v(x) - 5*o(x).\nAnswer: -x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/(2\/5). Suppose 0 = 2*m + 2*g - 3*g - 7, -5*m = -2*g - 19. What is the second derivative of -r**m + r**j + 2*r - r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8000*q + 746793 = 13292*q + 9351*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 241*a**2 + 153*a**2 + 34*a**2 + 2*a - a**2 - 2*a + (-1 + 2 + 1)*(4*a**2 - a**2 - 4*a**2).\nAnswer: 425*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let y = -721 + 475. Let k be ((-3)\/4)\/(y\/8). Are l and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x + 5. Let j be n(5). Let q = j + -26. Calculate the greatest common factor of 154 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 3:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1061245?\nAnswer: 1061242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 255047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.16 * -6.1.\nAnswer: -7.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 9*c - 83, -31*f + 10*c = -26*f + 18*c + 68 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 14. Let y be j(-4). Suppose 17*d - y*d + 738 = v, 0 = d - 4*v - 748. What are the prime factors of d?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7749400 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 7*j**5\/15 + 149*j**4\/6 + 28*j**3 - 2*j**2 + 9*j. Find z, given that u(z) = 0.\nAnswer: -21, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/((-70)\/(-25)))\/(8\/16).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96089654 divided by 4174?\nAnswer: -23021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 67+6531925\nAnswer: 6531992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11980 - -11979.6. What is the nearest to -0.28 in 0.5, h, 0.05?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 22 = 5*o, 29 - 118 = -5*v + 4*o. What is the third derivative of -17*w**5 + v*w**2 + 2*w + 3*w - 8*w - 2*w**2 wrt w?\nAnswer: -1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-1 - 2 - 1)*((0 + 0 + 3*v)*(2 - 5 + 1) - 4*v + v + 2*v) to the form f + n*v and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 2, -3.\nAnswer: -9, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6303328, -6303321, -6303314?\n\"Answer: 7*d - 6303335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.4, -4, 3, 0, -81.2?\nAnswer: -81.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(204) + sqrt(204) + sqrt(204)*2) - -6*sqrt(204)*1)\/(sqrt(72)\/(sqrt(18)\/sqrt(3)*6)*-5).\nAnswer: -156*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6234, -10816, -15398, -19980?\nAnswer: -24562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 62, -0.7, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*u - 8839 = -4*h, 5896 = 2*u + 2*h. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-45))\/((-4)\/(-8))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)\/((w\/w**(-1)*w)\/w)*w\/w**2*w*(w\/w**(-4)*w*w)\/w*w assuming w is positive.\nAnswer: w**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (261*m**2 - 56*m**2 + 77*m**2)*(16 - 16 + m) to q*m**2 + d + l*m**3 + k*m and give l.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.58314 and 89.\nAnswer: 229.89946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2*38\/209?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 316*c**5\/9 + 5222*c**4\/9 + 14510*c**3\/9 - 30920*c**2\/9 + 1176*c + 32 = 0. Calculate c.\nAnswer: -12, -6, -2\/79, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15188278?\nAnswer: 2, 7, 37, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 6\/11 (c) 9 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -327\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 35 + 74. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/z**(2\/15))\/(z**(2\/19)\/z)**(-47\/3) assuming z is positive.\nAnswer: z**(-12289\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + 3*a + 48. Let u be j(4). Let l = 9 + -3. Solve -12*t - u = -l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 7. Let j be x(-19). Find the second derivative of 8*c**2 - c**2 + j*c**2 - 12*c wrt c.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2464 + -2465. What is the smallest value in d, -2, 0.4, -1\/3, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 14 = -7*i. What is the first derivative of 7 + s**2 + 14*s**2 - 10*s**i wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -4 (b) 0 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:18 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192631 is divided by 7134.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((5 - 6) + 1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let x be 955\/382*(3 - 1). Solve -q + x = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:12 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003*b - 42048 = 165*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.923 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 105072?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 48. Suppose c = -g + 1. Sort 6, g, 0.\nAnswer: g, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2919, 5821, 8705, 11571, 14419?\n\"Answer: -9*c**2 + 2929*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464 divided by 1232?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0613 in -5, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92994327 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147492477 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 - 11*r + 3. Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.56 and -27.8.\nAnswer: -1516.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 minus 24.6892?\nAnswer: 1380.3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 504375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:17 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 76*c**2 - 158*c + 80 = 0.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n*s**2*v - 7*n*s**2 - 2*n*s - 455*n*v + 4627*s**2*v - 7*s**2 + s*v wrt s.\nAnswer: -4*n*v - 14*n + 9254*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1219\/115 + (-6)\/10. Let a(h) be the first derivative of h**4\/4 - 10*h**3\/3 + h**2\/2 + 9*h - 1. Is a(w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -31*i**2 + 29*i + 2. Give m(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 7*v**5\/60 + v**4\/4 + 4*v**2. Find the second derivative of a(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 77 = p, -715*p + 716*p = 5*c - 57 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -167, -228, -301, -392, -507, -652?\n\"Answer: -i**3 - 54*i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765885 to the power of 1\/2, to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/17, 0, 0.3, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14645 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/7))\/g)**(-4\/7)\/((g\/g**(-3\/5))\/g)**50)**(-39) assuming g is positive.\nAnswer: g**(57642\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/240*(-46)\/(-4)*10\/(-25)*-10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 132309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 10*i - 11. Let y(m) = m**3 - 8*m**2 - 21*m + 22. Is 6 a factor of y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 100*a**2 - 6*a - 10. Let v be d(3). Calculate the highest common factor of v and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 169*j**2 + 3*j - 3. Let v(r) = 37350*r**2 + 664*r - 664. Give 3*v(b) - 664*z(b).\nAnswer: -166*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (46 - (-4604)\/(-164)).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65557493 and 427?\nAnswer: 458902451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - u**2 + u**2 + (11*u**2 - 11*u**2 - 3*u**4)*(0*u - u + 0*u) - 202*u**3 - 36*u**5 + 202*u**3.\nAnswer: -31*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18086 = -78*b - 17072 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 390, 2, 58, -60, -5 in descending order.\nAnswer: 390, 58, 2, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -33803282716\nAnswer: 33803282716.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kllxlllkllkxlllxkxk. Give prob of sequence lkk.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6793679*c*s - 6*c - 568486 wrt s?\nAnswer: 6793679*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -8. Calculate the greatest common divisor of 11 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 335)*(-1)\/(-2). Suppose 480 = 59*h - 127*h + 63*h. Let n = o + h. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4301810 (base 9) to base 11.\nAnswer: -1334286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + 0 - (-927 - -915).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 80 = 16*u + 48 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -10 + 50. Let v be 495\/y - (-3)\/(-4). Solve 5*s = 3*n, -s = -3*n - 4*s + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 0. Suppose -36*u - 39 = 3*u. Which is the second biggest value? (a) -3 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 11*d**2 + d**2 - 10*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2550685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -58, -72, -92, -118, -150?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018579 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*h - 48*h - 9500 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-4 + 315\/20). Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 10*n + 13. Determine l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9045 = 5*l, 0 = -l + 4*a + 1034 + 800. Suppose 4*j = 6*j - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20*g**2 + 47*g - 93. Calculate n(2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfdfmfrrfrdmf. What is prob of picking 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-15)\/8)*(-5)\/108*702\/(-780).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3)\/((-6)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/13 + 482*l**3\/13 + 2940*l**2\/13 + 5912*l\/13 + 304.\nAnswer: -2*(l - 247)*(l + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/j*j**(2\/7)\/j*j*(j\/j**(-1\/5))\/j**(-6))\/((j*j**5)\/j*j*j*j**(-2)\/j*((j**0\/j)\/j)\/(j\/((j*j*j*(j\/((j\/(j\/j**1))\/j*j))\/j*j)\/j))) assuming j is positive.\nAnswer: j**(297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-216))\/((-92)\/(-8))*-4. Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5011 = 5*p + 3*s, -5*p = -4*s + 4979. Let u = p - -1404. Suppose -5*r + 0*r + u = 0. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2796*c*i*z + 20119001*c*i + 479*i*z**3 - 2*i with respect to z.\nAnswer: -2796*c*i + 1437*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1491 divided by -30875\nAnswer: 1491\/30875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 50511*r**2 - 212588169*r - 212638683.\nAnswer: -3*(r - 8419)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 5:45 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 + 9*y - 7. Suppose 4*x + 33 = -7. Let t be w(x). Suppose t*b - b - 20 = 0. What is the remainder when 28 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*a + 0*a + 26*a - 4 + 69*a to f + y*a and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17*u - 1683198 = 0. Suppose 4*p + 30627 = u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**9)\/(u**(-13)\/u))**(-1\/25)*((u*u*(u\/u**9)\/u*u)\/u**2)\/(u**(-1\/2)*u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-3411\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 72 + 226. List the prime factors of 4\/(-14) + 1408\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17953, -35904, -53855?\n\"Answer: -17951*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (-75)\/(-20). Let g(o) = -3*o**2 + o + 4. Let z(b) = 8*b**2 - 2*b - 11. Determine k*z(n) + 11*g(n).\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(5) + 4) - -6*sqrt(35)\/sqrt(63).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6426 and 1008.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 4*p - 3. Let l be d(3). Let c be ((-247)\/(-26) + -7)\/((-1)\/(-30)). Calculate the greatest common factor of c and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigggvivviviivvvi. What is prob of sequence iv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576 - 570. Solve -10*c - r + 46 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-195)\/(-90) + (-2)\/12. Let t(p) be the first derivative of -p**3 - 3 + 0*p**b + 0*p + 3\/2*p**4. Find the third derivative of t(z) wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 8. Let n be -4*1 + (v - 0). Suppose n*i = 65 + 73. Calculate the common denominator of -121\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnadj. What is prob of sequence dn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + -2.8. Let p = -2.8 + 2.5. What is the nearest to 2\/7 in w, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 18. Let f = 0 + -13. Let h = f - -20. Is a <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 - -17) - (-2 - (39 + -1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1738 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157.85 + -157.85. Which is the nearest to y? (a) -8 (b) -6 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u + 5*u**2 + 2*u**2 - 4*u**2 + 0*u**2 + 2. Differentiate d(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 16*i + 12. Calculate p(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1320?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 430888 or 431038?\nAnswer: 431038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*l + 1 = 6, -26 = 6*c + 2*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 672, 1526, 2732, 4296, 6224?\nAnswer: 8522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.65664731 to four dps.\nAnswer: 17.6566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9008\/5 - -1801. Put u, 1\/5, -4\/7 in ascending order.\nAnswer: u, -4\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.43 (b) 0.2 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 18.9. Let i = -4 + o. Let n = 0.1 - 0.1. Sort n, -0.3, i in ascending order.\nAnswer: -0.3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*b - 4*s + 1 = -902*b + 17, 0 = 3*s + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(535 - 590 - 518)*(-2*p - p + p).\nAnswer: 4584*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/5)*g)*g)\/g**7)\/((g**(-5\/2)*g*g)\/((g*g*g*g**(3\/4))\/g*g*g)) assuming g is positive.\nAnswer: g**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, b: 2, d: 1}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 - d + 2. Let s be x(2). Let o(z) = 8*z**2 - 2*z - 1. Let b be o(-1). Let j = b + s. Solve 0*y + j*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 2*f. Let j(a) = a**2 - 6*a - 4. Let m be j(7). Suppose -f = -4*d - m. Is d >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -21 (c) -7 (d) -0.1 (e) -5 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**5\/45 - p**4\/18 + p**2\/9 + p\/9 - 9. Factor k(g).\nAnswer: -(g - 1)*(g + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/17 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47348 + -29630. Suppose 0 = -b, 5*b - u - 14051 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0*t**2 + 11*t + 0*t**6 + 0*t**4 - 3\/20*t**5 + 0 + 0*t**3 + 1\/14*t**7. Factor u(i).\nAnswer: 3*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 402*r**2 - 2785*r - 10. Calculate f(7).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/7)*(q*q**(4\/5)\/q)\/q*(q**(2\/9)*q)\/(q\/q**6))**(-1) assuming q is positive.\nAnswer: q**(-2617\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:53 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/2 - 10*y**3\/3 - 12*y. Find the second derivative of c(a) wrt a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5424 and 565?\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 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: Which is the biggest value? (a) 5\/14 (b) 7.49866 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -401 - 3135451?\nAnswer: -3136052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - (-20 + 17)) + 1 + 22. Let h(n) = 2*n**3 - 4*n**2 + 3*n - 1. Let g be h(4). Calculate the greatest common factor of g and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 6*k - 126. Solve 0 = -5*b - 4 - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157\/35 - -2354\/595. Sort 0.3, 4, m, 1\/5.\nAnswer: m, 1\/5, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 361\/88 - 41\/11. Let y be -2 - 1\/((-1)\/(-84)). Let v = y - -605\/7. Which is the closest to 0? (a) p (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 52 - 4. Calculate the remainder when d is divided by 69\/15 + 10\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g - 76. Suppose 0 = -g*j + 11*j. Solve 3*o + o - 12 = j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 0 = -a*v - 24 + 266. Is (-22)\/v - (-6)\/22*3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:56 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 16) to base 7.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517, 4432, 15105, 35896, 70165?\nAnswer: 121272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 124 = 13*p - 10*p, 0 = -5*a - 4*p + 609. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/154*-18 - (-1 + 2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75878*l**3 + 15*l + 1197 wrt l?\nAnswer: 455268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5701283?\nAnswer: 7, 814469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 - 14*f**3\/3 + 7*f**2 - 6*f + 46. Let q = -13 - 2. List the prime factors of d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594463, 1188928, 1783407, 2377906, 2972431, 3566988, 4161583?\nAnswer: 4756222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000125471 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12490, -12479, -12444, -12373, -12254, -12075, -11824?\n\"Answer: 2*l**3 - 3*l - 12489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 5*t, -103 = t - 103 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 39 + 31 + 3351*w**2.\nAnswer: 3351*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466 divided by 2160.\nAnswer: -233\/1080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*p = -813*p + 27 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 42308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*y - 33 - 29 - 154. Let k(j) be the second derivative of 3\/28*j**4 + 3\/14*j**y + 0 + 3\/140*j**5 - 22*j + 3\/14*j**2. Factor k(h).\nAnswer: 3*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2290 + -2318 - (0 - 27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098905 rounded to 4 dps?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 55 - 15 = -2*d, 2*f - 108 = -4*d. Calculate the greatest common divisor of d and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 6276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, i: 6, e: 2, h: 1}. What is prob of picking 2 f and 1 i?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 33*s**2 + 68*s - 165. What is r(-13)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c2 (base 16) in base 6?\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13522*a**2 - a. Let b(d) = -2*d + 308. Determine b(o(g)).\nAnswer: 27044*g**2 + 2*g + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -27*n**3 - n**2 + 35*n - 5. Let m be f(7). Is (m\/(-4))\/(-5)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10 = -5*h, 9*u = 5*h + 13*u + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1341 divided by -54\nAnswer: 149\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10427 or -10428?\nAnswer: -10427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3262?\nAnswer: -1\/1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -241, -935, -2085, -3685, -5729?\n\"Answer: l**3 - 234*l**2 + l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20715518951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o = -2583 + 3733 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*b - 2*d - 472, 5*b + 2347 = 3*d. Let o = b - -542. What is the greatest common factor of o and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 84 - 10156*c - 233*c**2 - 1059*c**2 + 10158*c as p + t*c + o*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 5. Let f be g(7). Suppose 0 = -4*m + 20, -5*t - 10 = -0*t - f*m. Solve 4*l = -t*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (-15 - -19 - (33 + -7 + 4))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1049478983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.83911216 to two dps.\nAnswer: -16.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -88. Let n be 4*2\/(x\/(-20)). Let j be (3 - 2)\/(n - -6). Solve -4*p - 9 + j = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -5, 4\/5, -2\/7, -14\/13 in descending order.\nAnswer: 7, 5, 4\/5, -2\/7, -14\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 11*m - 30. What are the prime factors of k(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -420*o**3 - 6*o**2 - 7*o - 1. Let w be p(-1). Suppose -16*a = -19*a + w. Calculate the least common multiple of 8 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298771988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1109 + -62.\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11001110100?\nAnswer: 11001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-2 - (-24 + 24)) + (-17 - 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 16*g + g - 10*g - 17.\nAnswer: 7*g - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146259 + 331826. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15196742851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -45 - (-11696 - -11634)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 23*z - 115. Let k(m) = 12040 - 24090 + 12049. Give j(l) - 115*k(l).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, 11, 18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y**3 + y**3 + (y**2 - 4*y**2 + 5*y**2)*(-309*y - 140 + 140).\nAnswer: -620*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhhhhhhhhnhh. What is prob of picking 4 h?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117544, 117619, 117744, 117919?\nAnswer: 118144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11975 + 11973. Sort -5, 4, z, -1, -14.\nAnswer: -14, -5, z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11 - 16 + 2 - 4*j. Give u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:47 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20 - 7 - 9 - k - 7. Suppose g - 13 = 5*t + 12, t + 5 = 0. Calculate h(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -2 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtyj. What is prob of picking 2 y and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 45*w**3 - 47*w**3 - w - 11 + 4*w - 478*w**2 + 503*w**2 as o*w**3 + s*w**4 + u + h*w + f*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.15804 * -0.02.\nAnswer: -0.0231608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let v = -17 + 8. Let b = w - v. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1 - 7 - 10*h**2 + 8. Let s(j) = -8*j**2. Calculate b(s(m)).\nAnswer: -640*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 = j + d, 4*j + 6*d - 4284 = 9*d. Suppose 11585 + j = 8*l. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 7. Let y(x) = -x**3 + 10*x**2 - 8*x - 4. Let i be y(s). Suppose -4*c - 23 = -4*v - i*c, -c = -4*v + 33. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 3. What is the highest common divisor of b and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i = -1058 + 610 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 46. Let s = a + -13. Suppose s = 4*j - 3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -0.2. Let s = d - 0.9. Let z = -1.02 + 0.02. Which is the third biggest value? (a) 2\/11 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/(1\/15). Suppose -w = 34*g - 36*g. Suppose -g*r + r - 20 = -3*f, -5*f - r = -42. Calculate the remainder when 14 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v + 264. What is the tens digit of -4 + (-2)\/(-1) - v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 586?\nAnswer: 5\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 131261.\nAnswer: 2\/10097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 - z + 1. Let n be o(1). Let j be 129\/172 + 97\/4. Suppose -j*v + 64918 = -n*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 3 = 15. Let y be (-1)\/p - (-435)\/58. Let o(n) = n**2 - 4*n - 7. Give o(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + v + 4. Let x be i(5). Let q = 61 + x. Sort q, 3, 1, -1 in decreasing order.\nAnswer: q, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**18*c)\/c)\/((c**15*c*c*c)\/c)*c\/(c\/((c*c*(c\/(c\/((c*c**(-4\/13))\/c)))\/c)\/c*c))*c**(-1\/4) assuming c is positive.\nAnswer: c**(127\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -118. Let w = -40 - q. Let a = -0.9 - 0.1. Sort w, a, -0.3 in increasing order.\nAnswer: a, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 l when four letters picked without replacement from suiussullsi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**3 - d**2 + 2 + 0 + 7*d**3 to n*d**3 + t*d + y*d**2 + j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-309)\/206)\/(2\/(((-30)\/9)\/5)). Let b(z) be the first derivative of s*z**4 + 6*z**3 + 1 + 24*z**2 + 32*z. Find n, given that b(n) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -97. Suppose c*d - 104 = -9. Sort -29, -2, d in ascending order.\nAnswer: -29, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*m + 180 - 40, 7*l - 25 = 4*m + 137 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 6, -16, 1 in descending order.\nAnswer: 6, 1, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4 + 54461037*o**3 + 16774239*o**2?\nAnswer: -48*o + 326766222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12065\/7 smaller than -1724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.16 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1526695 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3626*n*y**2 + 2*n*y + 25*n - y + 2 wrt y.\nAnswer: 7252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*n - 13, 46*q = -2*n + 48*q + 8. Sort 2\/3, -0.134, n in descending order.\nAnswer: n, 2\/3, -0.134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75443 + 105632. Let g = q + -6196. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49904892 to the power of 1\/2, to the nearest integer?\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 - 8*o + 14. Determine r(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4, 2*a + 40*x - 42*x - 2206 = 0. Is 58 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (20 - (1 + 34)) - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*n + 7*n - 190*n - 325*n - 244*n.\nAnswer: -660*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38972 and 2?\nAnswer: 38972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 654?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = w. Let b = w + 12. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsfd when four letters picked without replacement from ugtgsfgusdduuss?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -16. Suppose 3*q = -0 - l. Let a be (4\/5)\/(1\/(-5)). Sort 2, a, q in decreasing order.\nAnswer: 2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2599554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2011\/2 in 1, 12, 54.7?\nAnswer: 54.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 235, 311, 429, 583, 767, 975?\n\"Answer: -x**3 + 27*x**2 + 2*x + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 9*g**2 - g + 6. Let n be h(-9). What is the derivative of 20*c**3 + 5 - 7*c**3 - 43 - n*c**3 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2484458, -2484476, -2484494, -2484512, -2484530, -2484548?\n\"Answer: -18*g - 2484440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9879236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 2\/2 - -3. Let h be 2\/13 - 12\/247. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -203.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14226 or 14246?\nAnswer: 14246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3 + 5*h**2*m**3*x + 3*h**2*m*x + h*m**3*x + 2*h*m**3 + 15*h*m*x + 2*m**3 - 8*m**2*x wrt h.\nAnswer: 18*h + 10*m**3*x + 6*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8978 rounded to the nearest 100?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 92 = -3*j + 5*g, 2*j = 5*g + 68. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5*l**2 - l - 8. Let o be v(4). Solve o*q + 5 + 11 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201 + -200.5. Let z(x) = -2*x + 22. Let i be z(9). Suppose -4 = -8*c + i. What is the smallest value in -0.1, -2\/5, y, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*a - 432 = 418*a - 240*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 134*y - 111*y = 90*y - 5031 for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 2. Suppose -2*x - 8 = 3*r - 7*r, -d*r = -5*x - 12. Let q be 1 - (2\/(-2) - r). Solve -3*i - 2*a - 9 = -0*i, -i - q = 2*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -5a?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussqxxqsouxuxxx. Give prob of picking 1 x, 1 q, and 1 u.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.1 (c) 2\/17 (d) -411 (e) -2 (f) -62\/21 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 268197 at least 268191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753.74 centuries in months?\nAnswer: 3304488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.38 - 39704.\nAnswer: -39658.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031683914 to the power of 1\/3, to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32051532 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73223 - 73207.9972. Let q = -4 + 19. Let k = q - d. Round k to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 39. Suppose q*x - 1015 = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.862788 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 - 12)\/(-2*(-2)\/8). Let f = v + 69. Suppose -2*t - u + f = -t, 5*t = 4*u + 38. Solve -k - 20 = 4*q, k + t + 6 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hiihilihhhij?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 77\/3. What is the second smallest value in -1, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -0*o - 13090. What is o rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 137865.\nAnswer: 551460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -104*t + 4. Is k(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 18*c**2 - 14*c + 38. Let z be f(3). Let g = -249 + 147. Let i = g + z. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -577\/5. Find x such that t*x**3 + 0 + 0*x - 3\/5*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1 - (-7 - (1 - 12)). Suppose -h + 2*b + 46 = -f*b, 5*h - 3*b = 195. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.3 - -21.3. Let y = w - -51. Which is the biggest value? (a) 0.1 (b) y (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:53 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 7*l - 6. Let p(o) = -7*o**2 - 15*o - 13. Let h(u) = -4*p(u) + 9*s(u). Let z be h(4). Solve -7 + 24 = z*b - 5*d, 4*b - 3*d - 13 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 - 1) + (-2 - -8) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371635 and 129580?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989013 less than 8989012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 267726053 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16795 by -3359.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282471 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2395163, 2395171, 2395183, 2395199, 2395219, 2395243, 2395271?\n\"Answer: 2*o**2 + 2*o + 2395159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4145, -12245, -24297, -40307, -60281, -84225, -112145, -144047?\nAnswer: -179937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 75)\/(5\/50). Let o be (-448)\/j - (-15)\/75. Let y = 1\/73 + o. Which is smaller: 8\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(1 + sqrt(1584)))**2*3 + -3 + (1 + sqrt(1584)*1 + sqrt(1584) + (sqrt(1584) + (0 + sqrt(1584) - sqrt(1584)))*6)**2 + 5.\nAnswer: 264*sqrt(11) + 106138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 48 = 8*s. Let w be (s\/16)\/(1\/(-4)). Solve 0 = -0*t + t - w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 8*i**2 + 6. Let j be p(-8). Suppose -j*d - 545 = -d. Let f = -75 - d. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24951.1 and 0.4?\nAnswer: 24950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18904*j + 18900*j = -28*s + 72*s + 368, -3*s + 5*j - 4 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-9*(-100)\/(-360)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 19 = 5*c, -38 = 3*c + 3*t - 5. Suppose f - b - 6 = -2*f, -f = -b - 2. Calculate the remainder when (-346)\/(-14) - f\/c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 1248653.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1145.7698 - -474871\nAnswer: 473725.2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 954462.6um?\nAnswer: 954.4626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 - 4. Let g = 16.5 + i. Let m = g + -9.8. What is m rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(12\/(-1724) - 0))\/(-1). Round x to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 21456*w**2 - 85788*w - 85776.\nAnswer: -3*(w + 2)**2*(w + 7148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 p when three letters picked without replacement from {e: 7, m: 5, p: 4, o: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-6 - 0) - (-6 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 3*m + 4. Let c be g(-2). Sort -3, 3, 5, c in increasing order.\nAnswer: c, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(2\/(-24)). Suppose 1471*j + 2 = -4*q + 1470*j, 0 = 5*q + j. Solve -q*w - 28 = 5*g - 7, 3*w + 2*g + f = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14807 and 13377351?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 16) to base 6.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*m + 35 = 0, 56 = 3*i - 13*i - 2*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, 1\/3, 8197?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 1 - 6*n**3 + 180*n**2 + 3*n - 182*n**2 to p*n + q*n**3 + v + w*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123647393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11)*l\/((((l*l*l**(-8))\/l*l)\/l)\/l))\/(((l*l*l**(2\/15))\/l*l)\/l**7)*((l*l\/(l*l**(-8))*l)\/l**(-4))**(-22) assuming l is positive.\nAnswer: l**(-48547\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 2, x: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 158*t - 160*t - 3 + 7. Let w(u) = 6*u - 13. Give 7*o(v) + 2*w(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5908\/(-16) - 5\/(-20). Let f = 532 + r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4054 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -191484 divided by -27\nAnswer: 7092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3025003*p - 12. Let a be l(-4). What is a rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329849.\nAnswer: 3, 147761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58701\/10 + -5870. Let q(p) be the third derivative of 0*p**4 + 4*p**2 + 0*p - 8\/3*p**3 - g*p**5 + 0. What is the first derivative of q(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q. Suppose 11*r = -o + 13*r - 1, 0 = o + 4*r + 1. What is l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*k + z, 5*z + 45 = -3*k + 28 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*c = 8, -2 = -j - c - c. Let l be (3 + 4 + j)*29. Calculate the greatest common divisor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-366)\/60*-944 - 4\/10. Suppose -4*l = -2*l - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, 1 r, and 1 s when four letters picked without replacement from uwstuuuwrwiwwuuwwurr?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let s = 18 + -14. Suppose -s*o + 9*o = 5. What is the closest to o in l, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/17 or 6?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = 16*x - 88 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 8*z - 6*z)*(1 + 0 - 2)*(-10*z**2 - z**2 - 24*z**2).\nAnswer: -175*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -443070.3 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*q - 4*j + 4, q - 3*j = 8. Solve 0 = 5*u + 5*x + 17 - 2, 3*u + q*x + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 2 = 0. Suppose 5*v + 4 = -0*v - n, u*n = -4*v - 8. Let x(c) = -c**3 + 9*c**2 - 8*c + 6. Let q be x(8). Is q greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 5*j + 3. Let f be q(-5). Solve i = -4*i - f*p + 10, 5*p = 4*i - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.051, 37, -3.\nAnswer: -3, 4.051, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**6\/l))\/l)\/(l*l\/(l\/((l\/l**(-8)*l*l*l)\/l)))*(((l\/((l**(-2)*l)\/l))\/l)\/l)\/(l\/l**(2\/3)) assuming l is positive.\nAnswer: l**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6853239851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*z - 12 = -4*z, 5*o + 5*z = -60. Let p = 1 + -1. Which is the third biggest value? (a) o (b) 3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585781 (base 10) in base 14?\nAnswer: -113697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-42)*-1)\/(3\/(-36))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 - (-2)\/24*(-22794)\/(-290) and (-389)\/168 + (-1)\/(-3).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17225*s**3 - 265*s**2 + 265*s - 265. Let m(h) = -261*h**3 + 4*h**2 - 4*h + 4. Determine -4*f(j) - 265*m(j).\nAnswer: 265*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 501d0 (base 16) to base 6\nAnswer: 11011104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.4 (b) 0 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441\/22 - -6425\/264. Find the common denominator of 16\/21 and x.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)\/g*g**(-4\/7)\/g*(g\/(g*g**10)*g)\/g*g**1)**(-2\/17) assuming g is positive.\nAnswer: g**(838\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + i**2)*(7 - 3 - 2) - 3*i**2 + 0*i**2 + i**2 + 5*i**2 - 5*i**2 + 2*i**2 + (i - 2*i - i)*(-2 + 2 - 2*i) - 3*i**2 + 2*i**2 - 2*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a0a0 (base 13) in base 4?\nAnswer: -2021320113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g**2 - 985*g + 700. What is k(54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose 0 = -2*c - 10, -4*j - 2*c = -3*c - u. Solve -b + 4*h + 3 = j, 5*h + 1 - 4 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3200590*z**4 + 4*z**3 - 39689272*z**2.\nAnswer: 76814160*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148243760 to the nearest integer?\nAnswer: 33886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or 3.2199?\nAnswer: 3.2199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -14, -37, -80, -149, -250, -389?\n\"Answer: -p**3 - p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 37. Let f(z) = -11*z + 6. Is f(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25281 - -5?\nAnswer: -25275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105513.\nAnswer: 3, 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.5 (c) 1.37 (d) 0.4 (e) -5\/4 (f) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.9231ml to litres.\nAnswer: 0.8999231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202432423*s + 99122088.\nAnswer: 202432423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8683 to two dps.\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.4, 865, -29 in ascending order.\nAnswer: -29, -0.4, -0.1, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 46, 53, 60, 67, 74?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10080 (base 11) to base 13.\nAnswer: -6920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233001322200102 + -11?\nAnswer: -233001322200113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180951*n*p**3 + 133*n*p + 678903512*p**3 with respect to n.\nAnswer: 180951*p**3 + 133*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/163278 and -94\/8685.\nAnswer: 816390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*i*x**4 - i*x**3 - 2*i*x**2 + 50*x**2 wrt x?\nAnswer: 2184*i*x - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 7*u**2 + 8*u - 10. Calculate c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*y - 91818 = -72438 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 8*w + w)*(-135 - 72 - 13).\nAnswer: 1980*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/8 - 12*f**2. Let m(t) = -14*t. What is r(m(p))?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + x**2 - 6 + 0)*(2 - 2 - 1).\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1239, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, -1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*b**2 - 33779 + 33779 to the form s*b + q*b**2 + h and give q.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 32 - (50 - 32).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*-6*(-2)\/(-3). Solve 5*s = -u*p - 13, 2*s + 35 = 4*p + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -12. Let s = -293.8 - -293.3. What is the biggest value in -4, c, -5\/6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/6 + 4\/12. Let s(i) = -i**3 + 3*i + 2. Let h be s(f). Let n(l) = l**2 - 4*l + 3. Let t be n(3). Sort t, 1, h in decreasing order.\nAnswer: h, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1424853, 1424850, 1424847, 1424844, 1424841?\n\"Answer: -3*f + 1424856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-10 - -3) - (0 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w - 95*w + 21*w + 24*w + 22*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 4, 2\/9, -0.01?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 2*q + 6*q + 3 - q**2 - 9. Determine i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 - 0 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z - 2 + 2 + (2 - 5 + 1)*(0*z + z + z))*(1 + 1 - 1).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 48, 107, 166, 225, 284?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 117 = 142 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -16, 0*n + m = 4*n. Let j(t) = -18*t - 2 + n + 17*t. Let x be j(-9). Which is bigger: 15\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*g. Let q(o) = 8*o**3 + 2*o**2 - o - 2. Let v be q(g). Suppose -3*n + v = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 d when three letters picked without replacement from {j: 1, o: 2, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 7. Round v to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 2*q**3 - 15*q**2 + 15*q**2 + 85248 + q**3 - 85173.\nAnswer: -3*q**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Suppose 2*m = 2*j + m - 679, -5 = z*m. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + sqrt(1872)*-2 + sqrt(1872))**2 - (-1*1*sqrt(1053) + 5).\nAnswer: -207*sqrt(13) + 1948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1011001?\nAnswer: -1010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98358 and -105765?\nAnswer: 7407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4272840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48160 divided by 602\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 354738483 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3 = 3*n, -18*s - 5 = -13*s - 5*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*h - 8 = 0, h - 6*h - 31 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 21 + 3. Let k(c) be the third derivative of c**4\/12 - 2*c**3 + 2070*c**2. What is k(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.23 + 0.23. Let u = 14.2 + y. Are u and -0.04 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436 bigger than 4438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbjjjjjbbkk. Give prob of picking 2 k and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -165824?\nAnswer: 6964608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-1)\/(-66)*12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 less than 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 6*v + 4. Let b be k(-2). Let h = -5 + 8. Let z(a) = 5 - h + 4 - a. What is z(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/88, 1.4, 0.04?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -102112210?\nAnswer: 102112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742000598?\nAnswer: 2, 17, 21823547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73623774 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1637 - -1636. What is the nearest to 0 in -24, 5, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30789.7 + -35.\nAnswer: 30754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 60. Suppose 0 = -2*v - v - x, -v = l + 6. Is (l - 2) + (2 - -162) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1837 at least 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -59. Let x = h + -42. Let r be ((-7)\/(-21))\/(74\/(-12)). Is x greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 + w - 1. Let r be b(4). Suppose -36 = 3*h - 5*h. Suppose -30*f**4 - f - 13*f + h*f**5 - 3*f**3 + 28*f**2 - f**r + 2 = 0. What is f?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14021, 16396, 18769, 21140, 23509, 25876?\n\"Answer: -b**2 + 2378*b + 11644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - ((-3 - -2) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate the least common multiple of 13200 and 1240.\nAnswer: 409200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 + 3*h - 5. Let q(a) = -42 + a + 5*a**2 + 24 + 16. Suppose 3*f + 98 = -4*f. Let z = f - -17. Give z*v(x) - 7*q(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 99*c**2 + 54*c - 2. Let n(p) = -281*p**2 - 162*p + 6. What is -17*i(u) - 6*n(u)?\nAnswer: 3*u**2 + 54*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.3 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*r**2 + 3*r**3 + r**3 + 36*r**2 + 0*r**3.\nAnswer: 4*r**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -52589?\nAnswer: -15776.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4\/5 - 68*r**3\/5 - 64*r**2 - 256*r\/5.\nAnswer: -4*r*(r + 1)*(r + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20995.\nAnswer: 5, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*n - 9. What is the remainder when 0 + -8*1*-2 is divided by (-6)\/4*(n + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14510, -14514, -14520, -14528?\nAnswer: -14538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7771 + -0.2229. Which is the closest to -2\/5? (a) -5\/6 (b) 1\/4 (c) h (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3480 and 26448.\nAnswer: 132240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/48*2 - (-455)\/(-6328). Let t = -638\/3503 + r. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -40*n. Let h(o) = -39*o. Let l be (9\/(-6))\/3*-5*2 - -1. Calculate l*h(c) - 5*g(c).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0860187 nanograms?\nAnswer: 0.0000000860187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10, 137*q = 5*h + 139*q - 16. Let y(c) = -2*c - 8. Let f be y(-6). Suppose 3*p = 3*t - 75, 3*t + 2*p = f*p + 75. Solve -h*d + 5 = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*b = -0*f + 54, -4*f - 62 = -2*b. Sort 2, f, 5.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 0 + sqrt(833) + (sqrt(833) - (sqrt(833) + 5)) + 1 + 2 + sqrt(833) + -4))**2.\nAnswer: -8064*sqrt(17) + 122256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - b)*(-b - 2*b + 6*b) + b**2 + 4*b**2 - 2*b**2 + 976*b - 981*b - 22 - 2*b**2 - 4 + (3*b + 2*b - 3*b)*(-3*b + 0*b + 2*b).\nAnswer: 5*b**2 - 5*b - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = 21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (78\/(-16) + 1 - -5). Let h = -1.6 - -2. Let g = 4.04 + -0.04. What is the nearest to h in g, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n. Suppose 0 = 400*c - 399*c - 133. Let s = c + -138. What is d(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 2662?\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7*i\/(i*i**(-2\/3)*i)*(i**(-2\/7))**27*(i\/i**(-1)*i)**(5\/7)\/((i\/(i*i**(-3))*i)\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 199 = w + 217, 4*y = -4*w + 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13693\/957 - 8\/319. Let y = k - -14. What is the second smallest value in y, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -234005132, -468010265, -702015398, -936020531, -1170025664, -1404030797?\n\"Answer: -234005133*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 - 223. Solve 44*n - 43*n = -g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 185*y + 4229. Give o(-113).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/(-6)*(0 - (-3 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.97. Let i = 0.487 + -0.057. Let p = i - t. What is the closest to 2\/3 in p, 2\/7, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrmrtxtkrrttyrryyrty. What is prob of picking 1 k and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4\/(-6))*-2. Suppose 0*z = -22*z. Let h be 9 - 0\/((z - -2) + -1). Solve h = q + g*j - 6, 3*q - 2*j = -10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 82. Let x be 0 - -1 - (12 - b). Let q(o) = 4*o + 38. Let r be q(x). Solve 8*i - 3*i + 26 = -h, -15 = 5*h + r*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(352)*-2 + (-5*sqrt(352)*2 - sqrt(352)))*2)\/(-5*(sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288))) + -2*sqrt(288)*1).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 - 3*u + 5. What is i(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -10.76. Let c = 0.06 - b. Let w = 4 - 4. Sort -0.1, c, w in decreasing order.\nAnswer: c, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1764\/19 - -61129\/684. Calculate the common denominator of f and 121\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18248697?\nAnswer: 3, 2027633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-87189)\/4). Let m = 5841775\/1627528 - n. Let z = m + -26\/7. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/4)\/(4\/8). Suppose -v*i - 21 = 3*l - 0*l, l = 2*i + 33. Let u = 16 - i. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -t - t + 60, j + 125 = 3*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 + 0.65. Let z = -5.7 - -0.7. Which is the closest to 0.2? (a) -2\/13 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Suppose m*x - 5*c + 0*c = 43, x + 4*c = 16. Calculate the remainder when x is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208417004 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.12965 tonnes to milligrams.\nAnswer: 87129650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/37, -1\/7, 1\/25, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18370.\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2326 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23b3 (base 13) to base 6\nAnswer: -35211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2353330476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1196049, 2392077, 3588105, 4784133, 5980161, 7176189?\nAnswer: 8372217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16) - 59\/236?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5, -421, -2\/7, -18, -1\/4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 0*v**4 - 15*v**4 - 4*v**3 + 4*v**3 - v**4 + (1 + 2*v**4 - 1)*(-2 - 3 + 3).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**3 - h**4 + 2*h + 5 - 10*h**3 + 2660*h**2 - 2662*h**2 to i + t*h**4 + l*h**3 + o*h + y*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1856242, 3712485, 5568728, 7424971, 9281214, 11137457?\n\"Answer: 1856243*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 736, 2570, 6148, 12040, 20816, 33046?\nAnswer: 49300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*-16*((-570)\/323)\/((-760)\/(-4845)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -1 - 14) + (1 - 1) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 3*u)*(-2524 + 1830 + 3330 + 3700 + 838).\nAnswer: 14348*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 250.2253km?\nAnswer: 250225.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 5*x + 6. Let q be h(6). Suppose l - 6 - 2 = q. Calculate the common denominator of (1\/(-2))\/(l\/160) and -20\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11321 is divided by 471?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.001 (b) 0.3 (c) 5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161077*j*z + 68*j + 92122714*z wrt j.\nAnswer: 161077*z + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5308 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 5*r + 25 = -23*g, 2*r = -4. Suppose 4*z = -g*d + 104, 0 = 5*z + 7*d - 2*d - 125. Solve -z = -2*l + 9*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + ((-72 - -2) + 65 - (-1 + 1 - -1)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*r + 114 = -27, -2*d - 5*r = -71. Let u(f) = 43*f**2 - f + 1. Calculate the remainder when u(2) is divided by d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from rrrrqrrrqqrqrqqrrrr?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 10*h + 36. Let n be k(8). Let b = n - 618. Which is smaller: -181 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3960 and 13860?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 887 = -68*d - 840. Put 240, 15, d in descending order.\nAnswer: 240, 15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 42*a**2 - a - 5. Let u be z(-2). Let h = u + -138. Calculate the smallest common multiple of 30 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37574, -37567, -37558, -37547, -37534, -37519?\nAnswer: -37502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 0*k + 61 - 166 = 15*t, 8*k + 72 = -2*t - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 464 and 72?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137720240 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41665321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -17*d**3 + d**2 - d - 1. Let c be f(-1). Let s = c + -12. Suppose s + 1 = n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4\/15)\/c)\/c**14)\/(c*c**(-12\/11)*(c\/c**(3\/11))\/c))**(2\/5) assuming c is positive.\nAnswer: c**(-4918\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8)*8*9. Let t = f + 30. Let y be (-27)\/t*8\/12. Solve -y = -2*q + 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12323210 (base 5) to base 8.\nAnswer: 353156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0.6, -0.03, -497, -3 in descending order.\nAnswer: 0.6, -0.03, -3, -17, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21367945 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 2*d**3 + 4*d**3)*(-2 - 1 + 6) + (0*d + d + 0*d)*(4 - 4 + 2*d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -990979.97426 from -143.\nAnswer: 990836.97426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3))**(-9)*(o**(3\/14)\/o)\/o*o**(-7\/2))**(-37))**(1\/4) assuming o is positive.\nAnswer: o**(-1406\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414707?\nAnswer: 414707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from {m: 3, b: 17}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2517\/758 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 3)*(1 - 2 + 0) + 0 + 2 - 4)*(7388*r - 2837*r - 2319*r) as j*r + h and give j.\nAnswer: -11160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2 = -x, 4 = -5*i - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1488012 and 46\/4340035.\nAnswer: 52080420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - (-9)\/5. Let o = -0.886 + -0.034. Let h = o + -0.08. What is the biggest value in 2, h, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1394 divided by 10\nAnswer: 697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -5\/16 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**3 - 1693825 + 846935 - 8*u**2 + 846890.\nAnswer: -19*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -339, -347, -355, -363, -371, -379?\n\"Answer: -8*p - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717995 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3\/7 + 652896*g**2\/7 - 186544*g = 0.\nAnswer: -163226, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7370 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53. Let u be (50\/(-45))\/5 + z. Is u at most -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + 2 + 2*sqrt(5) + 0)**2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -460 - -675. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**4 - o**3 - 2*o**2 + o - 1. Let d(x) = -16*x**4 - 11*x**3 + x**2 + 20*x + 24. Let m(i) = d(i) + 4*r(i). Solve m(g) = 0.\nAnswer: -2, -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*u**3 - 1719*l**3 + 33*l**2*u - 278*l*u**3 wrt l.\nAnswer: 12*u**3 - 10314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 8*u**2 - 6. What is n(-7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 6*(-2)\/(-8))*2. Put 5, -44, o in increasing order.\nAnswer: -44, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 27 - 840*h + 24 + 26.\nAnswer: -840*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259760 and 1521840?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 29*u - 66 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(325) + -1 + sqrt(325))**2 + sqrt(325)) - (3 + (sqrt(91) + 1*sqrt(91) - sqrt(91))\/sqrt(7)).\nAnswer: -3906 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -77. Let x = 38 - d. Let l = 106 + x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 155, 419, 797, 1295, 1919, 2675, 3569?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 47. Let a(m) = -13*m**2. Determine a(z(d)).\nAnswer: -52*d**2 - 2444*d - 28717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -187402b9?\nAnswer: -18740308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l**2 - 26*l - 11*l**2 - 4*l**2 - 6*l**3 - 11*l**2 to the form n*l**3 + o*l + t + x*l**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1893*h**2 + 1818*h**3 - 185*h**3 + 1893*h**2 + 504*h**3)*(-3*h - 3 + 3)*(2*h - h + 2*h).\nAnswer: -19233*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37870 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 6\/(-5))*1. Which is the third smallest value? (a) 5\/4 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67769 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243888 - 243898. Suppose 2*k - 20 = 5*k + 2*y, -2*k + 2*y = 0. Put 1, k, a in increasing order.\nAnswer: a, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m - 11 - 11 + m + 13. Let a be w(11). Let y(s) = -9*s**2 - a*s - 16*s**2 + 1 + 24*s**2. Give y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39516 and 1596.\nAnswer: 5255628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-176676)\/(-25179) + (-1700)\/65450?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 2. Let p be z(2). Let c be ((-1)\/2*-20)\/(5\/70). Let o be 2 + (-16)\/(-14)*c\/(-24). Is p at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 2 (c) -48 (d) 2\/11 (e) 0.2 (f) 1304\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g + 29814777 + 9*g - 14907383 - 14907394.\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 338 - 334. Suppose 2*y + 8 = 0, w*b + 8*y - 3*y = 700. What is the highest common factor of b and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 * -32.3\nAnswer: 5458.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -172. Sort 1, -6, w, -3 in descending order.\nAnswer: 1, w, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, -276, -600?\n\"Answer: -324*b + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - 22?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*a = 2*b - 16, -35 = -5*b - 5*a. Suppose 0*w - 59 = -4*d - 5*w, -b*d - 5*w + 27 = 0. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m - 2*v - 15992 = 0, -6412 = 2*m - 3*v. What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 111100100000110?\nAnswer: 111100100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13.4. What is the third biggest value in -4, g, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.4, -8, -530, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258630 = -105*g + 142*g. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -950.9999801 + 951. What is l rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (8 - 15) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313271 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 1 - w**2 + w**4 + 0*w**2 + 4*w**2 to the form i*w**2 + b*w**3 + m*w**4 + l*w + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 10.8. Let o = 7.2 + -7. Let q = 5.22 - 5.25. What is the closest to o in 0.4, q, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39952863.6000044 - 39952875. Let y = k + 11.4. Round y to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + (13 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 201.856 millennia?\nAnswer: 201856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 471 = -3*y + 497, -3*w + 5*y = 41 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/37171 or -48?\nAnswer: -3\/37171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6746*w**2 - 6491*w**2 - 7905*w + 7872*w as q + u*w**2 + o*w and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6124*r**3 - 2*r. Let t be n(-3). Suppose 119944 + t = 26*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48980 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203662103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Let l = 3 + -1. Find the second derivative of -c*u + 2*u**l + 8*u - 4*u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1262 - -1259. Let x = 0.344 - 0.014. Let i = x + -0.03. What is the nearest to w in -3, -2, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/(k\/k**(-1\/9)))\/(k**2\/(k*k**(-15))) assuming k is positive.\nAnswer: k**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 1. Let q = 14 + -4. Suppose -q = 4*n - 2*n. What is y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 30 = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39391451149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1012, -4 in increasing order.\nAnswer: -9, -4, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/11 (b) 7 (c) 3.156 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -8*o + 4\/3*o**3 - 13 + 2*o**2. Determine c, given that f(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 1.2. Let y = -0.25 + m. Let s = -0.04999976 + y. What is s rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 118229278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = -3*g. Let u = -0.08 + -4.92. What is the nearest to 0 in g, u, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4734 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 95*q**2 + 82*q + 1135. What is b(94)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -291, -270, -213, -102, 81, 354, 735?\n\"Answer: 3*d**3 - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 2)*(83*q**2 - 58*q**2 + 58*q**2 + 70*q**2) to v + u*q + m*q**2 and give m.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6883 is divided by 6878.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 71 - 190)*(-4*r + r + 4*r)*(1 - 1 + 3)*(-3*r - 5*r + 2*r + 2*r).\nAnswer: 3840*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364708 + -366942.31. What is c rounded to the nearest ten?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.1, -0.5, -9.839?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20621*o**6 + 3*o**4 + 32*o**3 + o**2 - 124154635*o.\nAnswer: -2474520*o**3 + 72*o + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/5*(-125)\/250?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Suppose 2*z + 2*z + 20 = 4*q, 3*z = -r*q + 20. Let a = 0.031 - 0.131. What is the second smallest value in 2, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 9, -3*x + 13 = c - 20. Let o be (12\/8)\/(2\/x). Is o\/27*348\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*l = 17, 6*o - 14 = o - l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -19802534849439.\nAnswer: -19802534849428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 84.04. Let k(f) = -f**2 - 4*f - 3. Let l be k(-4). Let r be 17*4\/22 + l. What is the closest to n in 5\/3, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*u - 341*u - 11968 = 386*u for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/39)\/(49\/(-98))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.3 (c) -0.2 (d) -3896 (e) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:45 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89215*n**2 - 178354 wrt n?\nAnswer: -178430*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**3*s**4 - 9*m**3*s + m**3 - m**2*s**2 + 2*m*s**3 - s**5 wrt s.\nAnswer: -72*m**3*s + 12*m - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a70034 (base 11) to base 8.\nAnswer: 6421612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442185?\nAnswer: 3, 5, 41, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763.7 rounded to the nearest 10?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 - 5. Suppose 5*j = j + 8. Let s be ((-3)\/6)\/(1\/j). What is the third smallest value in p, -4\/5, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29684383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 54*g**2 - 2*g - 1. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.746 + -852.254. Let l = 172832527057 - 172832527911.00001189. Let u = l - z. What is u rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k)*(-2 + 0 + 1) + 625*k + 10*k + 58*k - 57*k.\nAnswer: 634*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/44 + -9)\/((70\/(-96))\/(-7))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 49. Suppose 0*k + 13 = k. Calculate the remainder when d(38) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6677286 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - y**5 + (1 + y**5 - 1)*(0 + 2 + 0) + 4*y**5 - 6*y**5 + 4*y**5 + 2*y**5 + y**5 + y**5 - 4*y**5 + y**5 - 5*y**5.\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 - 2*z - 6. Let a be o(6). Suppose 2600*r + 120 = 2608*r. Differentiate -9*m**4 - a + r - 13 wrt m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1404 = 3*s, -984 = -4*s - 4*r + 904. Calculate the greatest common divisor of s and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81594 and 60470220?\nAnswer: 544231980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 9}. What is prob of picking 1 c and 2 o?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 - o**4\/3 + o**3\/3 - 3*o**2\/2 - 169*o. Let d(q) = q**3 - q**2 - 4. Let c be d(0). What is u(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-4))\/(-3))\/((-81)\/1296).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.6. Let l be (-56)\/(-6)*6\/4. Let s be (-4)\/l + 10\/(-112). Which is the closest to 1? (a) s (b) -2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let w(o) = -2*o + 25. Give w(q(n)).\nAnswer: -4*n + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 534944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-9 + 3 - -9) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1969 - -4?\nAnswer: 196d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in decades?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/33 in -3\/43, -5, -0.4?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/4 - -2)*-4. Suppose q*c - 5*g - 14 = 0, 3*g - 6 = -0*g. Suppose 0 = 2*w - c + 4. Solve w*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*z - 20 = -606*z. Let y = 0.42 - 0.52. Put y, -1, z, 4\/5 in ascending order.\nAnswer: z, -1, y, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 464819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -895355 > -895387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 3*u + u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 6*u + 15. Suppose f + u = -6*o + o, 3*o + 2 = -2*f. Suppose -10 = -2*c + 3*b, -2*b + 2 = f*c - 42. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 - 3921.\nAnswer: -3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323306157?\nAnswer: 3, 79, 1364161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b - 4. Let i be l(-4). Let c = -2472 + 2487. Calculate the highest common factor of c and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggelg. What is prob of sequence gel?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 2457 - 7359. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/((-143)\/(-3344)))\/2. Solve -m*l + 151*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 15. Let k(m) = m + 1. Let y(g) = k(g) + v(g). Suppose -3*n = 92 + 130. Let h = n - -85. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379146?\nAnswer: 2, 3, 29, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 8) in base 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/34 - (158 + -158))*2\/4?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 7*s - 9108 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.668879m in centimeters?\nAnswer: 666.8879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14566 - -14570. Let s(f) be the first derivative of 1\/10*f**5 + 0*f + 1\/6*f**3 - 21 + 1\/4*f**m + 0*f**2. What is a in s(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 5*s**2 - 3*s**2)*(-8*s**2 + 4*s**2 - 16*s**2) - s**4 + 4*s**4 - s**4 to i + d*s**4 + m*s**3 + x*s + g*s**2 and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7. Let s = -0.194 + -5.606. Let v = s - -7.8. Which is the fourth smallest value? (a) v (b) y (c) 0.3 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**(11\/7)*(n\/n**18*n)\/n**(-4\/5) assuming n is positive.\nAnswer: n**(-587\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/(-4 - -3). Suppose 10*m - 369 = 9*m. Suppose -t + 5*t + 3*l = m, j = 5*t - l - 447. What is the highest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060 divided by 4.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/13627 or 1?\nAnswer: 30\/13627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10518633 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 125656529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 - 55*z**2 + 54*z = 0. What is z?\nAnswer: 0, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*4\/6*7. Let g = -19 + m. What is the remainder when 5 is divided by (-1)\/(15\/g + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*y - 91*y - 40. Sort -21, y, 3, -6 in decreasing order.\nAnswer: 3, y, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -2 + 4 + -4. Let z be (-198)\/(-120) - (-3)\/j. Factor -21\/4*o**3 - 3\/4*o + 15\/4*o**2 + 0 + z*o**4.\nAnswer: 3*o*(o - 1)**2*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 5*q**2 + q**2)*(0 + 1 - 3)*(2 - 2 - 2*q).\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/11406 and 109\/6?\nAnswer: 11406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164.67 * -10.\nAnswer: -1646.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*o + 8. Suppose -3*a + 8 = -o*c, 2*a - 24 = -2*c - 3*a. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 445220 and -12954.\nAnswer: 432266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 - 2*c**3 + 2*c**2 + 4. Let z = 2 + -2. Suppose z*k = 4*k - 20. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 38. Suppose -4*f - s = -138. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2507, -10012, -22513, -40010, -62503, -89992, -122477?\nAnswer: -159958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(1 + 5*(-1 + -1*sqrt(76)*-2 + -3)))**2.\nAnswer: -760*sqrt(19) + 7961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(8 - (7 - -419)). Solve -9*q = z - 173 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 = 21. Let b = -273 - -267. Let f be (4\/(-3))\/(2\/b). Solve -3*o - 1 = 2, j*m + f*o = -8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v**4 + v**3 + 0*v + 0*v**2 - 5 - 2\/5*v**5. Find the third derivative of m(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjbbbbbbjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*4\/(-15)*(-12)\/(-50)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.9 (c) -450 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Suppose b*v - 6 = v, -4*n + 14 = 5*v. Let o be n - 70*(3 - 4). Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4)\/(sqrt(72)\/sqrt(9)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 17*f + 34. Let h be n(3). Put 5, h, 1 in increasing order.\nAnswer: 1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(304) - (sqrt(304) - (2*sqrt(304) + -1)))*-4 + (5 + -2*sqrt(304))*1 + 2)**2.\nAnswer: -1200*sqrt(19) + 30625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:22 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23911 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-1\/56)\/h))\/h*h**(-14) assuming h is positive.\nAnswer: h**(-671\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 661*y**4 - 1309*y**3 - 2009*y**2 - 39*y.\nAnswer: y*(y - 3)*(y + 1)*(661*y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 809?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let l = u - -4. Factor n - 2*n**l - 3*n + 0*n**2.\nAnswer: -2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2096807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103.5 - -103.505296. What is v rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -4 (b) -0.5 (c) -0.2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154259797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 - 0.33. Round c to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 11 - (43 + -46)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f + 56*f = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/3 (c) 2\/1825 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1675 = 5*y - c, 2*y + 4*c = 658. Suppose y = -2*o - 217. Let r = o + 457. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 248, 355, 446, 515?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982*a - 429 = 943*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0 + 0)*(0 - 1 - 2)*(-3*v - 2*v + 9*v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 1*(sqrt(125) + -4*(sqrt(125) + (sqrt(125) - (1 + sqrt(125)))))) + -5)**2.\nAnswer: -180*sqrt(5) + 40501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 0*m**2 - 7 - 7*m - 2*m**2. Suppose 0 = 2*o - 7*o - 5*d - 25, 2*d = 0. Calculate g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/17, 3, 55274, 1\/4 in descending order.\nAnswer: 55274, 3, 1\/4, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05095 + -0.15095. Let l = 0.24 - 0.2. Let i = l - -0.36. Which is the smallest value? (a) -0.05 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-728)\/52)\/(1*-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*l - l. Let f = l - -7. Calculate the remainder when 36 - (2 - (0 + f)) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3146 and 152702.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6233.\nAnswer: 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -425, -1077, -2355, -4469, -7629?\nAnswer: -12045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57029 = -1146*f - 157877 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 + 60 + (28 - (47 + -13)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**2 + 7*p. Let j(n) = -2*n**2. Give l(j(c)).\nAnswer: 44*c**4 - 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744*z - z**2 + 3980 + 1744*z.\nAnswer: -z**2 + 3980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3 + 11*u. Let m(t) = -9*t**2 - 7*t. Let l(g) = -5*g**2 - 4*g. Let j(r) = 7*l(r) - 4*m(r). Determine q(j(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Suppose 2*r - 4*w + 6 = 0, r + 4*w = -w + u. Which is smaller: -3\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - (-12)\/6*-3. Solve -g*o = -0*s - 5*s - 30, 2*o - 17 = 3*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/7 + 31*w**3\/7 + 99*w**2\/7 + 101*w\/7 + 34\/7 = 0. What is w?\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4*w + 3523*q**4 + 299*q**3*w + 408*q**2 + 17227*q*w wrt q?\nAnswer: -72*q*w + 84552*q + 1794*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30821135 is divided by 172185.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 0.6, 5, 2, -77\/3, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20396698, -20396696, -20396694, -20396692, -20396690?\n\"Answer: 2*n - 20396700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddoodoooo. Give prob of sequence ddd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-12))\/(6\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**3 - 5*z**2 - 7*z + 1. Let j(f) = -44*f + 3569. Let a be j(81). Let c(y) = 7*y**3 + 3*y**2 + 4*y - 1. What is a*c(u) + 3*o(u)?\nAnswer: -4*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144849 + 423818\/3. Let l = 3517 + k. Let j = l - -1607\/24. Find the common denominator of 89\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let n(i) = -7652 + 0*i + 2*i + 7651 - 3*i**2. Give n(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.28 + 0.64. Let z = 459.68 + -457.7429. Let t = z - b. Round t to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Suppose -2*q - 3*q - 15 = x*y, q + 3 = 2*y. Let v be 1\/(4\/(-8) + y). Put 2, -1, v in descending order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5)**31*d**(1\/2)\/(d\/(d\/d**(-1\/8))) assuming d is positive.\nAnswer: d**(1245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2. Let a(t) = -2*t**2 + 2*t. Let b(j) = 39*j**2 - 8*j. Let h(s) = 4*a(s) + b(s). Calculate h(z(f)).\nAnswer: 1519*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.004 (b) -0.06 (c) -0.4 (d) 1 (e) 353 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.9. Let c = w - -13. Let g = 4163 - 4162. Is c greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 12*p**2 + 3*p - 18. What is the lowest common multiple of 16 and o(12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.98 * -4\nAnswer: -15.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6) + -1)*(24 + -30). Suppose 7*m = k*m - 2*x + 83, 5*x + 5 = 0. Suppose -20*v + m*v = -21300. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 2 (c) 5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 - 28\/72*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -205. Let x = 11 + -11.1. What is the closest to x in 0.03, n, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j + 11*j + 11*j + 21*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 11*g**4\/2 + 657*g**3\/4 + 2859*g**2\/2 + 3322*g - 480 = 0.\nAnswer: -16, -10, -4, 3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(-5*(-1 + sqrt(1377)) + sqrt(1377)) + (0 + sqrt(1377))*4 + (sqrt(1377) + sqrt(1377) + 1 + sqrt(1377))*6))**2.\nAnswer: -5508*sqrt(17) + 1591893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 2*i - 5*i + 14 + 12.\nAnswer: -3*i + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -285. Let o be (-2)\/4 + 35\/2. Calculate the highest common factor of b and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -4. Let b = 26.037 - 0.037. Let z = y - b. What is the second smallest value in z, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**4 + 42*x - 103. Let k(a) = 2*a**4 + 43*a - 100. Let i be 2\/1*(-30)\/(-72)*6. Let p(t) = i*k(t) - 4*h(t). What is the derivative of p(v) wrt v?\nAnswer: 8*v**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*h + 0*h - 18*h - 8*h - 22 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 3 (c) -36 (d) -2\/17 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3322908 and 7941888.\nAnswer: 13788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -25. Suppose d*y - 92 + 657 = 0. Let w = y + 164. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 7668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10\/7)\/v**(-2\/13))\/((v*v**(-11\/2))\/v*v**(2\/27)))**(-14) assuming v is positive.\nAnswer: v**(-20399\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4\/7 (c) 2 (d) 1\/4 (e) 45\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2.988.\nAnswer: -1.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987998 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.8 - 1.8. Let n be ((-3)\/(-42))\/(1\/(-6)*(40 - 43)). What is the second biggest value in n, 0.1, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a. Let c(j) = -j**3 - 2*j**2 + 117*j. Calculate -c(u) + 2*v(u).\nAnswer: u**3 - 115*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 67 = 35. Solve 5*h - 3*g + u*g = -4, 5*g + 13 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-20)*4\/1 - 0. Differentiate -14*a + 0 + 11*a - y wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5898752 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -564 - -912. Suppose -n - i = -5*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20858899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3819 - 143*u - 3822 + 7641.\nAnswer: -143*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j + 36 = 0. Let i(n) = -n**2 + 13*n - 9. What is the remainder when j is divided by i(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29596)\/924 - -32)*(-75)\/(-10).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 502 = 2*s. Suppose 8*z - 3915 = -s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**4 + 30*l**3 - 5*l**2 - 26*l. Let b(w) = -w**3 - w**2 + 2*w. Let f(q) = -4*b(q) + s(q). Factor f(x).\nAnswer: x*(x - 1)*(x + 1)*(x + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1150.707 to the nearest 10.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/8 - 17709*j\/4 - 35415\/8.\nAnswer: -3*(j + 1)*(j + 11805)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1b6419?\nAnswer: 1b641a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {a: 2, e: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and -111.8239?\nAnswer: -4920.2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0 + 2 - 5 + 3*r + 2. Let y be 4\/12 + 24\/9. What are the prime factors of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 - g - 3. Let p be r(-6). Let q be (-3)\/((-160)\/(-20) + 4). Which is the closest to 1\/2? (a) p (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 2*p - 20. Let m be t(4). Solve -m*s + 19*s = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 5, g: 2, u: 1, o: 3, m: 1}. Give prob of picking 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108d68 (base 16) to base 8.\nAnswer: -4106550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.758 - 8.792. Which is the smallest value? (a) m (b) 2\/19 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:59 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 7 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -10*j + 11*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**3 - 172*g**4 + 8*g + 182*g**4 - 10*g**3 - 205 wrt g.\nAnswer: 40*g**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**10)**(-40)*c**20*(c**(-4\/13)*c*c*c)\/c assuming c is positive.\nAnswer: c**(4962\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -3490.\nAnswer: -4\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/42)\/((-2)\/(-21)). Let k(t) = t**3 - 5*t**2 - 9*t + 2. Determine k(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 22 - 2. Find the second derivative of r*m**4 - 8*m + 10*m**4 + 7*m + 12*m wrt m.\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7044478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Let f = -168 + 170. Suppose d + 0*d - 4*p - 1144 = 0, 2283 = f*d - w*p. Round d to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248835121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 6, a: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4 + 18441200*q**3 + 1309306470*q**2 + 23880900400*q + 22590035125 = 0. What is q?\nAnswer: -3688169, -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crknenc. Give prob of sequence ennk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 3) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-10)))\/r*r**(-34))**(-41) assuming r is positive.\nAnswer: r**1025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*t = -535 - 594, -m + t + 270 = 0. What is the remainder when 1047 is divided by m?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {b: 8, k: 11, n: 1}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1125 + -1120.13. Let r = k + 0.13. Let i = 14544 + -14543. Which is the biggest value? (a) -0.4 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -33\/2*q**2 + 1\/6*q**3 + 0 - 50\/3*q = 0.\nAnswer: -1, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 12*d + 12. Let o be t(8). Let s be (8\/o)\/((-2)\/990). Let v = -5493 + 5515. Calculate the highest common divisor of v and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 15. Let f(r) = r**3 - 8*r**2 + r - 10. Let i be f(u). Let z(v) = -v**3 - 4*v**2 - v + 4. Let d be z(-3). Is i not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 + -3c1c?\nAnswer: -3c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2321 (base 6) to base 9\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10260964 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67851 by 500.\nAnswer: 67851\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318430512 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 0*p + 4*p - 8*p + 5. Let g be 4\/(-5)*50\/4. Let q(u) = -u + 1. Calculate g*q(c) + 2*a(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaub when four letters picked without replacement from sjiuijiubaia.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13752*k**3 + 218298 - 218298)*(2 + 1 - 1) to m*k**3 + d*k + r*k**2 + b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -203322 divided by 6\nAnswer: -33887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*d**3 - 3*b**3*d**2*y**2 - b**3*d**2*y + 3*b**3*d**2 + 26*b**3*d*y - 29*b*d**3*y**2 + d**4*y wrt d?\nAnswer: -36*b**3 - 174*b*y**2 + 24*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154970 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 + 1)*(0*p**4 + 0*p**4 - 2*p**4) + 5*p**4 - 2*p**4 - p**4)*(4 - 4 + 2)*(0 + 2 - 3) in the form h*p**2 + u + q*p**4 + t*p + j*p**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-797297)\/(-5) - 4 - (-11)\/385*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564, -1983, -3402, -4821, -6240?\nAnswer: -7659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254524 and 33592.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) 275 (c) -6\/119 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 1559118.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 5*f, -5*t = -2*f + 13 - 94. Suppose -3*u - 1 = -4. Let b be (-5 + 4)*(u + -2). Solve -t = 3*w + i, 3*i + 0 = 4*w + b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let x = -21 - -18. Let s be (-26)\/(-10) + x\/5. Calculate the greatest common factor of f and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2 + sqrt(112))\/sqrt(2))\/(sqrt(32)\/(sqrt(4) + sqrt(20)\/sqrt(5))) + 3.\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609881 is divided by 422?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 164 (b) -1 (c) -1\/5 (d) -3\/4 (e) 2044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**4\/4 - 16*i**3\/3 - 13*i**2\/2 + 29*i - 206. Let g be t(-15). Let r(f) = -6*f**3 - 2*f**2 + 1. What is r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -396842 and -2.\nAnswer: -396844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 2. Let s(i) = -i**2 - 3*i + 3. Let m(x) = 6*r(x) + 4*s(x). Let b(d) = 35*d**2. What is b(m(h))?\nAnswer: 140*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-20))\/((-7)\/77*3)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 101*n**2 + 21*n - 7. Let b(a) = 48*a**2 + 12*a - 4. Let v(x) = -7*b(x) + 4*w(x). Let t(y) = -15*y**2. Determine v(t(u)).\nAnswer: 15300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19004629.\nAnswer: 7, 2714947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 87*d + 124. Let y be i(-28). Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5) + 1 + -5 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11830, -23827, -35824, -47821, -59818, -71815?\nAnswer: -83812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-50)*(-130)\/(-182)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9 + (-46)\/207)*-18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*d - 2*k = -249*d - 52, 0 = 5*d + k + 65 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {m: 1, w: 1, e: 2, f: 1, a: 2, t: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q - 3. Suppose 3*w + 4*r - 13 = 0, -3*w + 4*r = -5 - 0. Let s be -1*(w - 2) - -6. Calculate the least common multiple of 20 and o(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593332*1\nAnswer: -593332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115029983 + 203*d + 115029983.\nAnswer: 203*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98255.949247 + 98256. What is b rounded to three decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 645906.2945 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 11*p - 31*p)*(4 + 2 - 4*p - 2*p**3 + 5*p).\nAnswer: 44*p**4 - 22*p**2 - 132*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*(-24)\/42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6558, 52718, 178010, 421998, 824246, 1424318, 2261778, 3376190?\nAnswer: 4807118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4))\/j**2*(j\/j**(-1\/4))**(2\/37) assuming j is positive.\nAnswer: j**(-175\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/18361300 and -79\/2073050.\nAnswer: 128529100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424635804 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 + 97. Put 1, -10, l, 2 in descending order.\nAnswer: 2, 1, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*b - 680*b - 746*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 200, 441, 716, 1031, 1392, 1805, 2276, 2811?\n\"Answer: t**3 + 11*t**2 + 201*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -1454, -2180, -2906, -3632, -4358?\nAnswer: -5084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/15 + 4*w**4\/9 + 56*w**3\/9 + 64*w**2\/3 + w - 50. Factor a(q).\nAnswer: -4*(q - 8)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 273 - 235 - 38.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*((p\/p**(1\/2)*p)\/p)\/p)*p*p*p**(-1\/6))**(-5)*(((p*p**(2\/5))\/p)\/(p\/(p\/(p\/(p*p\/((p*p**0)\/p))))))\/(p*p**(-1)*p)**(-14\/13) assuming p is positive.\nAnswer: p**(-2767\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 115260?\nAnswer: -115270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -319256551 minus -0.14?\nAnswer: -319256550.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6630 and 1326.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + w = -2, 4*w + 24 - 2 = 3*n. Suppose -v + 68 = n*l, -l + 5*v = -0*l - 12. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -26861.\nAnswer: 3\/26861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 1, t: 4, c: 1, a: 2}. Give prob of sequence kk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 176654906*w + 30*w**2 - 176654906*w.\nAnswer: 30*w**2 + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4569, -4570, -4571, -4572, -4573, -4574?\n\"Answer: -s - 4568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9 = -2*k, k - 2*b - 14 = -2*k. Suppose 5*n + k*f = 3*n + 1400, -4*n = 3*f - 2825. Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 7}. What is prob of picking 2 o and 1 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - 122\/174 - (-110)\/660?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 1 + 2)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 6.\nAnswer: -12, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b7da (base 16) in base 12?\nAnswer: 232a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let b be (-30)\/135 - (-92)\/9. Is 10 a factor of (b + s)\/((-2)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*i - 4*h + 5, -h = 4*i + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58dbb6 + -5?\nAnswer: -58dbbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399461518 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20295 (base 12) in base 4?\nAnswer: -22032101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 147. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Suppose -5*d = -43 + n. Let l(s) = s**3 - 8*s**2 + 1. Calculate the least common multiple of 22 and l(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y - 12*y - 9*y)*(1 + 3 - 5)*(0 - 1 + 2)*(-3*y**2 + 3*y**2 + 2*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1249 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (-7 + 4)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - i + i - 2*i. Let h(a) = 2*a. Let c(q) = -15*q - 25*q + 43*q. Let b(w) = 2*c(w) - 22*h(w). Calculate b(p(k)).\nAnswer: -76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.6, 21, 0.1 in decreasing order.\nAnswer: 21, 3, 0.6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 377*w - 9334 - 29120. Solve -w*f - 1470 + 552 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 + 153*o**2 - 125*o - 19. Let i be u(21). Suppose -2*h + 4 + 0 = w, 5*w = 5*h - 25. Suppose x = h*x. Solve 2 = -x*y - i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*c + 5538*c**2 - 152*c**3 + 148*c**3 - 5158*c**2 = 0. Calculate c.\nAnswer: -2, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95518 <= -95517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*w + 11349 = 4012 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 40*a + 129. Is x(-16) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 11*n - 8*n + 4 + 31 = 0, -2*o + 3*n = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 6. Let h be ((-35)\/(-20) + -3)*4. Let g(k) = 4*k + 10. Let w(r) = h*p(r) - 3*g(r). Let a(b) = 4*b**2. Determine w(a(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 2, 5\/71, 181, -0.2 in increasing order.\nAnswer: -1.7, -0.2, 5\/71, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5, 5*h - 5*k + 5 = 4*h. Let z(j) = j**3 + 30*j**2 + 5. Let v be z(h). Solve v*y = 3*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 8, 24, 48, 80, 120, 168?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 1. Let w be s(2). Suppose w*f = 5*b - 75, 4*b + 0*f + 4*f = 52. Let i = 7 + b. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*118*1\/(-4). Let h = -74 + 40. Let t = o + h. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + u + 6*u - 13*u to p*u + s and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 15 = 0. Suppose 0 = -u - s*u. Let p = u - -2. Solve 2*x + 12 = -p*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 479 = 3379. List the prime factors of b.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6265*0.02.\nAnswer: -0.05253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.124503 times 0.1?\nAnswer: -0.0124503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 282777 divided by 123\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904 + 20*k**2 - 1855 + 951.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 1484 + 314. Find the common denominator of 97\/4 and (-8)\/(-22)*q\/(-72).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1128698*0.3.\nAnswer: -338609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 1586.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22975856.\nAnswer: 2, 47, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11474 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 5*p**2 - p**2 - 17 - p**2 + 16*p**2.\nAnswer: -4*p**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 589 - 406. What is the remainder when w is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9629.8 - -9630. What is the fourth smallest value in c, -1\/5, -2.6, -1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -380, -578, -644, -572, -356, 10?\n\"Answer: u**3 + 60*u**2 - 385*u - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 11. Let h(r) = r + 1. Let z(p) = -b(p) + 5*h(p). Let d be z(7). Let y(w) = w**2 + 13*w + 17. Is y(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -20. Suppose -3*c + m*c = 0. Suppose c*t + 3*t = 144. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 856978*k - 857282*k - 9424 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypppyyxpypyyxyypppy. What is prob of picking 4 p?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225*g + 2*g**3 + g**2 + 1226*g + 0 - 4 + g**2 as f + n*g**2 + a*g + q*g**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (59 + -44)\/(-20*4\/(-16)). Factor -1\/7 - 6\/7*b**t + 6\/7*b + 1\/7*b**2.\nAnswer: -(b - 1)*(b + 1)*(6*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032809 is divided by 480.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372434 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46\/15 + -11\/3. Let k = -3.4 + 3. Sort k, o, -5 in ascending order.\nAnswer: -5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -2.135, -3\/26, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -10 + 34\/8. Let k be 1\/2 + (-49)\/42. Which is the closest to 0.1? (a) q (b) k (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 2*n - h, 2*n + 3096*h - 3101*h = 45 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1193125 divided by -238625.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*b + 21826 = 0, 4*t + 2277 = -3*b + 19713. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4 + -263 + 252?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4095611869863 and 0.2.\nAnswer: -4095611869862.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 1705558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/(-3400))\/(12\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 18*a + 5. What is the units digit of p(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121391921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21369 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8784*t**2 + 2987*t**2 + 3016*t**2 + 2921*t**2.\nAnswer: 140*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 0, -3 in descending order.\nAnswer: 22, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 1017*d**2\/5 + 123374*d\/5 - 124392\/5.\nAnswer: (d - 1)*(d + 142)*(d + 876)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, 18, 8 in increasing order.\nAnswer: -196, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5568121.\nAnswer: 13, 19, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11251170 (base 8) in base 4?\nAnswer: -21111021320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/13018386 and -43\/143202246.\nAnswer: 143202246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15789 + 15789. What is the closest to t in 3, -1\/8, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 22504?\nAnswer: 22505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3198, -3200, -3204, -3210, -3218, -3228?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:29 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-4)*1264\/(-3318)*7\/(-1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10744, -20882, -30368, -39196, -47360?\n\"Answer: b**3 + 320*b**2 - 11105*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3 = -2*s - 9, -5*s - 15 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.4 (c) 0.6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -236, -223?\n\"Answer: 13*a - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 295650*l\/11 - 591292\/11.\nAnswer: -2*(l + 2)*(l + 147823)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 - 1) - (158 - 32 - 126).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-20))\/((-12)\/(-15)). Let x = 3.25 - 6.25. Which is the nearest to x? (a) -5 (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98\/(-21) + (-4)\/(-6). Suppose 0 = 4*f + 8, -2*f = w + 3*f + 13. Sort k, w, -1.\nAnswer: k, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2082\/7, 1\/4, -2\/7, -2\/5, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + 14. Let s(c) = -7*c + 14. Let q(o) = 3*s(o) - 4*u(o). Let d be q(2). Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101.1 times -0.0491\nAnswer: -4.96401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-845)\/(-4225))\/(17\/(-680))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {e: 5, l: 3, v: 5, p: 2, z: 5}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 38 = -3*m + 31, 0 = 5*b - 4*m + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 101868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -127. Let v be (-4)\/22 + f*(-5)\/22. Which is the second biggest value? (a) 0.4 (b) 2 (c) v (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeeccaececeeeea. Give prob of picking 3 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**2 + 4*o**2)*(-o**3 + 0*o**3 - o**3).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 12488*g.\nAnswer: 4*g*(g + 3122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syxsuyy. What is prob of sequence yu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l**2 + 7*l - 40. Give d(3).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x - 306 = -5*x. Are x and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**4 + 1427341*x**3 - 93*x**2 - 65.\nAnswer: -72*x + 8564046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/5*((-252)\/(-102))\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010100110 + -101?\nAnswer: 100101010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163434 is divided by 23347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120430379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/6 (b) 239 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/(3\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c - 1. Let k(w) be the second derivative of -w**4\/24 - 12*w**2 - w - 10. Let o(r) be the first derivative of k(r). What is o(u(t))?\nAnswer: 16*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000105273 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3\/7 + 100053*h**2 - 9104442*h\/7 + 4201992 = 0 for h.\nAnswer: 6, 7, 233444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*r = -35, 3*i - 91*r - 178 = -463 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (101\/505)\/(1\/(-35))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 8}. What is prob of sequence bbgg?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8*6*2. Suppose y - 3*s - 32 - j = 0, -2*y - 5*s = -43. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + 2*f - 2. Determine s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 13. Suppose 3*z - 5*v = 21 + 9, -v + 78 = 5*z. Let q be n(z). Suppose -13*u + 9*u + q = 0. Calculate the lowest common multiple of u and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 97*d**2 + 246*d - 2. Let p(b) = -b**3 - 81*b**2 + 247*b - 2. Determine -6*p(w) + 5*v(w).\nAnswer: w**3 + w**2 - 252*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189.5 - -189.1. What is the second biggest value in -1\/88, x, 3?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h = -74*h. Solve -16*i + 9*i - 12*i = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044, -455, 3400, 12153, 27436, 50881, 84120?\nAnswer: 128785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 93*a + 20177745 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 31272*h - 719253. What is y(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d)**(-27)\/(d**14*d**(-10)) assuming d is positive.\nAnswer: d**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 5*j**2 + 1055*j + 2105. What is v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 32 = -10*h. Let s(l) = 41*l - 6. Let b be s(h). Suppose 5*u = -57 + b. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149161*b**3 - 8894*b**2 + 22*b + 2?\nAnswer: 894966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/211 in 4\/5, 16, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -657, -22.\nAnswer: -657, -22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 374291823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 8*g**2 - g + 1. Let s(q) = 3*q**3 + 15*q**2 - q. Let x(b) = -3*s(b) + 5*v(b). Calculate x(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(204))\/sqrt(12) + -4 - (1 + sqrt(833) + sqrt(833)*1 + sqrt(833) + sqrt(833) + (sqrt(833) - 1*(sqrt(833) + 1)) + sqrt(833)))**2*1.\nAnswer: 304*sqrt(17) + 24564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/19 + 622120*h**3\/19 - 4354906*h**2\/19 + 9954120*h\/19 - 7465608\/19 = 0. Calculate h.\nAnswer: -311067, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/47 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/78 + 1048*v**3\/39 - 274576*v**2\/13 - 190*v + 1. Factor l(i).\nAnswer: -2*(i - 524)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**2 - 1\/360*z**6 + 0 - 9*z + 0*z**5 + 1\/6*z**4 + 1\/2*z**3. Let x(a) be the second derivative of h(a). Factor x(l).\nAnswer: -(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*d + 6. Suppose 0 = d*z - 2 - 2. Let x = -3.2 + 3. What is the smallest value in 0.2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(6\/(-4) + 238\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a**3 - 110*a**3 + 9*a**3 + (-a - 2*a + 5*a)*(-2*a**2 + 0 + 0) + 627 + 64*a**3 - 627 in the form v*a**3 + k + r*a**2 + d*a and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284 + -280. Let s be (-10)\/q*(117\/(-15))\/13. Let w = 4 + -8. Put s, 5, w in descending order.\nAnswer: 5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 1057 = 343. Let p(b) = b**2 - 7*b + 17. Calculate p(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 396804265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -6181, 1\/2 in decreasing order.\nAnswer: 1\/2, 3\/7, -6181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33750.758 + 33961. Let s = b - 210. Round s to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**5 - 8*l**3 - l**2 - l wrt l?\nAnswer: -300*l**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3336, -3395, -3544, -3825, -4280?\nAnswer: -4951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = 15. Let i(f) = f**2 - 15*f. Let p be i(r). Let k be ((-10)\/p)\/(9\/(-5)). What is the nearest to -2\/7 in -2\/15, -2, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1410*u**2 - 1411*u**2 - 290 - 451)*(180*u**2 - 1 - 208*u**2 + 3) as x*u**4 + z*u + m + r*u**3 + s*u**2 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.56*18.4.\nAnswer: 28.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + (28855 - -3) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(35) - (sqrt(140)\/sqrt(4)*-5 - sqrt(35))))\/(-1*sqrt(320)*-1).\nAnswer: -35*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91, -74, -41, 14, 97, 214, 371?\n\"Answer: d**3 + 2*d**2 + 4*d - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -134*u + 1337. Determine v(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*g - 38 - 11, -y + 5*g = 31. Let u be 1090\/55 + y\/(-33). What is the units digit of u + 3\/3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 703767 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/136 and (-35)\/68*90\/35.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88416 by 1228.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16689 = -639*r + 58074 for r.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.1 (b) -0.144 (c) 2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 934494 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 29, -4, -45, -94, -151, -216?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-63)\/35)\/(6\/(-20)) - -98. Suppose w*z - 90*z = 234206. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:36 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 4*u + 4. Let z(o) = -2*o**2 - 7*o - 7. Let d(h) = -7*f(h) - 4*z(h). Let v(l) = 16*l. Give d(v(x)).\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23128333683 - 0.18\nAnswer: -23128333683.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296629, -296582, -296487, -296338, -296129?\nAnswer: -295854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 25. Let h = -18 + x. Let o be (-1)\/((-3)\/2) - -1. Which is the nearest to -0.1? (a) o (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/((-1350)\/12))\/(2 - 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 811554594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 - -1)) + 3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 5*d**2 + 3*d. Calculate the lowest common multiple of u(3) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v**0)\/(v*v\/v**(-1\/5)*v*v**(1\/4)) assuming v is positive.\nAnswer: v**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:04 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -779 - -954. What is the remainder when p is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*l + 9, 5*y + 2*l + 9 = -0*l. Find the common denominator of -9\/8 and -4 + y*(-51)\/(-48).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10138*k**2 + 20375*k**2 + 1173*k - 10238*k**2.\nAnswer: -k**2 + 1173*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -7*x**4\/8 - 32*x**3\/3 - 22*x**2. Differentiate m(a) with respect to a.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by (2409\/(-146))\/((-1)\/2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/16 - (-1252)\/32. Let m(p) = -p**2 + 46*p - 266. Calculate the lowest common multiple of 119 and m(z).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4429 + -1502. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 531*c. Let a(g) be the third derivative of g**4\/12 + 642*g**2. Give d(a(z)).\nAnswer: -4*z**2 - 1062*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + p)*(-4 + 5*p**2 + 4)*((0*p + 2*p + 0*p)*(2*p - 2*p - 2*p) - 143*p**2 + 275*p**2 - 167*p**2).\nAnswer: -195*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(2)))**2 + 5.\nAnswer: -16*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 94. Let a = -30 + r. Let l = 27.99951 - a. Round l to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*a + 155*a + 993*a + 506 - 506 in the form u*a + t and give u.\nAnswer: 1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -16.1 (c) -605597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:01 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 397882*b + 398016*b + 3.\nAnswer: 134*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-134)\/402)\/((-2)\/38826) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) -0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1 * 1859.\nAnswer: 9480.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 11*c - 5. Let o be s(10). Suppose -3 = n - o*v, 3*v = -4*n + 4*v + 7. Solve 6 = -4*i - n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114422 (base 5) in base 2?\nAnswer: 1000101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 248, 340, 480, 668, 904?\n\"Answer: 24*q**2 + 20*q + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 9\/2 (c) 2 (d) -95430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) - (sqrt(96) - -4*sqrt(96)*-4)) - sqrt(96)) + sqrt(96))\/(sqrt(2) - sqrt(14)\/(-1*sqrt(7))).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 658390589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = k, -2*k + 3*y + 80 = 3*k. Let b be (6\/21)\/(k\/14 + -1). Solve 2*u - b = 3*l - 0*u, -5*u + 5 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1089142, -2178277, -3267402, -4356517?\nAnswer: -5445622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:46 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.54 - -0.04. Let t = h - -7. Let c = -25\/561 - 7\/51. Sort t, 1\/2, c in descending order.\nAnswer: 1\/2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.51025km to nanometers.\nAnswer: 36510250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/31 and -138936 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3811 times -42927?\nAnswer: -145140.4797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3\/22 (c) 0 (d) -1\/4 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/127 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9470991ug?\nAnswer: 0.0000000000009470991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:30 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356 + 56. What is v rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 1, p: 3, g: 2, o: 1}. What is prob of sequence nppg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 11050?\nAnswer: -11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*f - 28*f + 111*f)*(-5 + 2 + 1) to the form u*f + n and give u.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, j: 3}. Give prob of sequence jvj.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-8 - 1)) + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25634 + -0.25634. Which is the nearest to 11? (a) -13\/5 (b) 2\/3 (c) -1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45312344, -45312347, -45312346, -45312341?\n\"Answer: 2*n**2 - 9*n - 45312337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91.08 at most -0.007551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 26 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/4 - 3685*y**2\/4 + 3683*y\/2 = 0. What is y?\nAnswer: 0, 2, 3683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*c**2 - 26*c**5 + 26 - 47 + 21 wrt c.\nAnswer: -1560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 41*s**3 - 4 + 2*s.\nAnswer: 41*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/345 and -17\/7641.\nAnswer: 878715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -171767 divided by -5923\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 5. Let x be (2 - 3)\/(k - 3). Suppose -q + 3 = -x. Solve -r = 0, -n + q*r - 4 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 26236?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33203301 (base 6) to base 16\nAnswer: -f32f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q - 4 = 0. Let p(k) = k**3 - 6*k**2 - 2. Let m be p(6). Which is the third biggest value? (a) 2\/11 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpd when three letters picked without replacement from {t: 2, l: 1, p: 13, d: 1}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41409 - 41409 + 797*v)*(3 - 7 + 0) + 4*v - v - 2*v.\nAnswer: -3187*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*a + 27, -5*u - 2*a = -2*u - 35. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120101021 - -102120?\nAnswer: 12120210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - o**3 - o**3)*(1201 - 630 - 663)*(-1 + 2 + 1)*(0*o - o - 25*o).\nAnswer: -4784*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 22*n - 720. Let c be r(40). What is the greatest common factor of 560 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1922 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9667 divided by -30131.\nAnswer: 9667\/30131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/(z**2*z))\/(z*z\/(z*z*z*z**5)*z*z**(-2\/3)))\/(z**2*z\/(z**(2\/7)\/z)*(z*z**(2\/5))**32) assuming z is positive.\nAnswer: z**(-4604\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18411 to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10066 + -9938. Let r = 39 + -23. What is the greatest common divisor of g and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*l + 46*l - 144*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15584051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 745*u**3 + 717*u**3 - 1437*u**3.\nAnswer: 25*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -821*k**2 + 2*k**4 + 323*k**2 + 405*k**2 - 6*k**4 + 235*k**6 + 3*k**4 wrt k.\nAnswer: 28200*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 25128.\nAnswer: 5\/2792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 387*k + 220*k + 2373 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1306\/25 + -1236\/25. What is the common denominator of z and -73\/3147?\nAnswer: 15735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 3591478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 + 14*x\/3 - 8 = 0.\nAnswer: -6, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let y(k) = 8*k**2 + 10*k. Let g(f) = f**2 + f. Let o(h) = -20*g(h) + 2*y(h). Let i(w) = -o(w) + 5*t(w). Let r(p) = 2*p. Give r(i(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02233588 rounded to four decimal places?\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3349, 13803, 31365, 56035, 87813?\nAnswer: 126699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1747.0585 and -0.05635?\nAnswer: 1747.11485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 - 33*w + 172. Let d be u(8). What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111248 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 576*h - 58757. Calculate o(102).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 45947*b**3 - 22*b**2 - 62*b + 45. Let l(q) = -15316*q**3 + 7*q**2 + 21*q - 15. Let w(t) = -16*l(t) - 5*n(t). Find the third derivative of w(s) wrt s.\nAnswer: 91926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4103823 by 64.\nAnswer: -4103823\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-45)*(-13)\/(104\/72).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - ((3 - 17) + 21 - -17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2299 + 0 + 3\/1 + -11. What is the highest common factor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -3*d**2 + 5*d - 167. Let p(k) = -2*k**2. Give p(z(o)).\nAnswer: -72*o**2 + 120*o - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 151 and 153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/6 - m**2\/8 + m\/4 - 4. Let d(v) = 0. Calculate v.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34136)\/4016*(24\/(-51))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnhnhnnnnn. What is prob of picking 3 n?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 7\/5, -2, -5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from lfllfff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 33088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from {z: 1, k: 4, g: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141708 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 55*h**5\/4 - 161*h**4\/4 - 6227*h**3\/4 - 12167*h**2\/4 - 1643*h - 104 = 0.\nAnswer: -8, -1, -4\/55, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/15 + m**4\/8 - 2*m**3\/3 + 677*m**2. Let i(z) = 5*z**2 - 2*z + 3. Give -4*i(t) - 3*q(t).\nAnswer: -8*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 15 = -8*c, a = 3*c - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k**5 + 6*k**4 + 57*k**3 - 18*k**2 - 84*k - 24 = 0. Calculate k.\nAnswer: -2, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (0 + 3 - 2))*6055\/4325?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 369*x + 1 + 1.\nAnswer: 369*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 7*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-272))*((-10850)\/(-248))\/175.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-62) - 390\/(-9672)*-296.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 133, 194, 255, 316, 377?\n\"Answer: 61*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -26*j - 698. Let o(i) = 35*i + 705. Determine -3*o(h) - 4*u(h).\nAnswer: -h + 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39806592 by -826.\nAnswer: -48192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p + 362. Determine y(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2018.9 + -2016.9. Put -0.5, 3\/43, z, 5 in ascending order.\nAnswer: -0.5, 3\/43, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**2 + 3*y - 2\/3*y**3 + 0. Let v(o) = -2*o**2. What is p(v(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 2*h + 10 + 3*h**2 + 0*h to y*h + w*h**2 + a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 243*a + 1. Suppose 15*r = 14*r - 7. Let w be g(r). What is w rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by 157?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 i when four letters picked without replacement from {d: 8, t: 4, i: 1}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let d(w) = 4*w**2 - 2*w**2 - w**2. Give k(d(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*a - 4 + 1 + 2*a**3 - 2*a**3 + 267*a - 2*a**4 + 3*a**3 to the form g*a + q*a**3 + m + p*a**4 + d*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30922 = 2407*y - 26846 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d = -90. Let h = 18 + d. Suppose -t + h + 7 = 0. Solve -t = -3*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - 8*v**3\/3 - 2*v**2 + 3*v + 10. Let h be d(-16). Sort 6, -2, -5, h in decreasing order.\nAnswer: 6, -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2319*p - 2315*p = 0, -5*p = -24*t - 6*p - 4*p + 53 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -30262079 and -30262079 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w + 25*w = 36. What is the units digit of (-2 - 28)\/(((-21)\/w)\/(-126))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/13 + -304\/65. Put 7, -1\/2, r in ascending order.\nAnswer: r, -1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 74 = -2*w. Let b = 10 + w. Let z be (-48)\/b + 4\/18. What is the greatest common divisor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/12 + f**4\/3 - 5*f**2\/6 + f\/12 + 1\/2 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19859*-12.74.\nAnswer: -253003.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 - 16*x**2 + 21*x**2 + 249662*x - 250417*x = 0. What is x?\nAnswer: -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 2*m**3 + 17*m**3 - 39*m**3 + 14*m**3 + 4*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1133 + -1132.7. Let i = 4 - 9. Which is the second smallest value? (a) -11 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 + 4) - -4. Suppose h = c - 5*r + 17, 0*c + r + 11 = 2*c. Suppose 2*p + 4*f - 96 = -2*p, 0 = 2*f - c. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 2 + 0 + 3. Let z be f(0). Suppose 0*q + q + t = 19, z*q - 55 = 5*t. Solve -q = 3*p, 5*o + 7*p + 30 = 4*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1369, 5745 in descending order.\nAnswer: 5745, 1, -1369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/42 + 39 - (-152)\/(-22)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/(-6))\/6)\/(8\/1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b\/(b\/(b\/(b**3\/b))))\/b)*b)\/b)\/b**(4\/5))**(-36)\/(b**5\/b**(-4)*(b\/(b**(3\/2)*b))\/(b**(-5)\/b)) assuming b is positive.\nAnswer: b**(-567\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 89. Which is the third smallest value? (a) -0.03 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w + 19. Let t be o(2). Suppose -m + 2*i + 35 = 0, 5*i = -m + t + 29. What is the remainder when 221 is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/441*(63\/(-2) + 14). Determine p, given that 20\/9*p**2 + 0 + n*p + 2\/9*p**3 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/134)\/(6\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*2*sqrt(176))**2*-6)*1.\nAnswer: -38017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:57 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 13) in base 7?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69061535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2278*g**2 - 6*g - 6. Let x(i) = -13669*i**2 - 34*i - 34. Give -34*p(b) + 6*x(b).\nAnswer: -4562*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-378)*12\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*g + 2 = -2*g, -2*g + 10 = h. Suppose -253 = -5*d - 5*s + 2*s, 4*s + 122 = h*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 5, x: 3}. Give prob of sequence xss.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -13*t - 25. Sort -3, 1, t, 0 in decreasing order.\nAnswer: 1, 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 7*r**2 + 3*r - 13. Let t(l) = 2*l**3 - 5*l**2 + 2*l - 9. Suppose -2*m + 5*d = -10, -m + 0*m - 5*d = -5. What is m*h(s) - 7*t(s)?\nAnswer: s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 555 and -305.43.\nAnswer: 249.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyykyykwkwykkcc. Give prob of picking 1 w and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3317*-1.\nAnswer: -0.3317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23239648 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(7*s**3 - 2 - s**3 + 2*s**3).\nAnswer: -16*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) -3 (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370298 is divided by 575.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/((-20)\/105).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h + 3. Let r be o(2). Which is the closest to 2\/3? (a) -3 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.12 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 42. Let v be x(0). Suppose 19*t - v = 5*t. Solve -5*a + 7 = -t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -29*l**3 - 45*l**2 + 123*l - 27. Give v(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102221010202 (base 3) to base 10.\nAnswer: -766280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b = 18. Let y = b - 2. Let d = -2 - y. Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220112 (base 4) to base 2\nAnswer: -101000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 46. What is z(-27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(1\/(-8)). Which is the third smallest value? (a) -0.02 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 41. Suppose -5*l + x = -16. Solve -4*n = -4*m, -l = -3*n + 5*n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -c, -5*c + 3*y = 9 + 3. Let l be 5 + -9 + 38 + c. Suppose 5*z = -2*b + 4*z - 19, 0 = 2*b - 2*z + l. Is -12 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.09, -2\/9, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d. Let k(w) = -6*w**2 - 2. Let f(t) = -23*t**2 - 9. Suppose 60 - 56 = -2*p. Let h(j) = p*f(j) + 9*k(j). Determine b(h(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -3025, 4 in descending order.\nAnswer: 4, -143, -3025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -3, 1\/6, -3848, -1, 3\/14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-120)\/(-24) - (2\/((-24)\/68) - -4). Factor w + 14\/3*x + 2\/3*x**2.\nAnswer: 2*(x + 2)*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (710\/497 - ((-18)\/21)\/(-2)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.038, 2\/3, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -2744 (c) 3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(1\/((-65)\/52*-4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1005\/1080614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914496480 a multiple of 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z - 156 + 75 + 74)*(-1 - 2 + 4) to the form s + j*z and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:31 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - b - 12 + b + 12 + 3. Let o(a) = -2*a - 3. Calculate -6*o(x) - 5*p(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 5*w, 4*a - 16 = -2*w - a. Let f be (w\/3)\/(1*7\/(-21)). Solve f*s + 2*s + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v - 6*v - 101*v - 3*v + 3*v - 5*v + (-2*v + 4*v - v)*(1 + 1 - 4) as h*v + a and give h.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1\/12*x**6 + 1\/4*x**4 + 0 - 3*x + 1\/3*x**3 - 3\/10*x**5 - x**2. Let q(z) be the first derivative of h(z). Solve q(k) = 0.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - r**2 + 6*r**2 + 5*r**4 - 4 - 4*r**2 + r**2 - 2*r to the form k*r**4 + x + b*r + y*r**2 + i*r**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332 and 116120.\nAnswer: 9637960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*u - 1 = 12, 5*u - 22 = a. Let z = -0.2 + 1.2. Put a, -3, z in increasing order.\nAnswer: -3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s. Let c(y) be the third derivative of y**4\/3 + 96*y**2. Calculate p(c(k)).\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 9 + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 376030 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 131 = -7*h + 6. Solve -57*o + h = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -a3?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2776 (base 9) to base 2\nAnswer: 100000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1821102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 176c + -5?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 9) in base 11?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253 - -255. Let a be 2 - 2*(-1)\/(-2). What is the second smallest value in f, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-6)*(-3)\/(-3). Let y = 2 - 3. Let v = 0.2 - 0.1. Which is the second biggest value? (a) v (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-420))\/(3\/((-30)\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnhnlahhhhthah. Give prob of sequence ahhh.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -170?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 0.4, -5.\nAnswer: -5, -3\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*f - 27*f. Suppose -5*b = -f*t - 582, -2*t = 4*b - 3*t - 468. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 272116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+5439\nAnswer: 5439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2788 + 932 = 15*c. What is the greatest common divisor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w - 18*w - 19*w + 55*w + 2.\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 - 2848*m**2 + 24820308*m\/7 + 49720392\/7.\nAnswer: 4*(m - 2493)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(720) + -3 + 3 + -1))**2.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 16. Let p be g(-12). Suppose p = -0*o + 2*o. Suppose -o*k = -25 - 13. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 67 = -61 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose -52*s + 48*s + 20 = 0. Suppose 10*j + 12 = 6*j, s*j - 1 = -4*v. Solve 0 = -4*h - 5*g - 1, v*h - g + r*g + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 56*m + 4 = 119*m - 66*m - 50, 13 = -2*t - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 64 = -2*h, -4*i = -4 + 12. Let t be h\/(-42)*6\/20. Which is the fourth biggest value? (a) t (b) -4 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7) + (101 - 94).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*q - 25*q + 182*q - 21*q - 9796 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-323)\/(-3) - (-10)\/(-15). Suppose 0 = 4*z + 3*l + 13 - 128, 4*z - 5*l = y. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1, -22653926?\nAnswer: -22653926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g - g. Let t be (-4)\/(-17 + 7 + 9)*(-4)\/2. Put t, -1, g, 3 in decreasing order.\nAnswer: 3, -1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/(-6279) + ((-16)\/(-858))\/(-2)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-21))\/((-1)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/39 and (15\/(-300)*2)\/(1008\/2860).\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 38. Let w be t(17). What is the units digit of 10\/w - 25758\/(-99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 11) to base 3\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36687 divided by -1297?\nAnswer: 36687\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8069253 + -15190253. What is c rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/(-602))\/(4\/(-2)*-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 9*t - 13*t + 2 - 40 = 0, -f + 150 = 4*t + 183 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 296 + 876*t**2 - 873*t**2 + 61 in the form p*t**2 + n*t + h and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5306 + 9880. What are the prime factors of k?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 14*f**2 + 39*f.\nAnswer: f*(f - 39)*(f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5737, -5726, -5715, -5704?\nAnswer: -5693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from kfkdqkqqcfkddd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w - 10. Let l be t(-9). Let i(d) be the second derivative of 2*d + 1\/2*d**5 + 1\/6*d**4 + 1\/3*d**3 + 1\/2*d**2 + 0. What is i(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40776991 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 0, g + 4*h - 95 = 458. What are the prime factors of g?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 27*f**2 + 1. Suppose -2*t - 2*t - 16 = -3*u, 4*t = -3*u + 8. Let n be j(t). Let x = n - -101. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5427*o + 2*y = -5429*o + 40806, 0 = -4*o + 5*y + 81585. Does 120 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76826*x - 38413*x - 38414*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/9)\/i*i**1*i*(i*i\/(i*i**(-2\/3)))**(-2\/69))\/(i**6\/(i\/(i**5\/i))*(i\/(i\/(i*i**(-6))))\/(i**4*i)) assuming i is positive.\nAnswer: i**(565\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-30))\/(116\/145)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1144, -1143, -1142, -1141, -1140?\n\"Answer: l - 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2691245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*u + t, -527*u - 2*t = -528*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - -10 - -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + (-6)\/1*5\/10. Let p = -9 + x. Suppose 5*z - 6 = 44. Solve -3*y = z + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - f + 3)*(0 + 2*f**2 + 0) + 737*f**2 - 737*f**2 - 14*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + 3 - (sqrt(7) - ((sqrt(28)\/sqrt(4))**2 + 4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -973110 divided by 326?\nAnswer: -2985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 112*d**2 - 412*d - 1240.\nAnswer: 4*(d - 5)*(d + 2)*(d + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0 - (-2 + -4). Suppose -12 = -n*v - v. Solve -p + 8 = -v*a + 26, -p + 4*a = 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 2\/21, 1\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65072828.\nAnswer: 2, 607, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014 (base 5) to base 14.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(-5*g**2 + 0*g**2 + 3*g**2 + (0*g + 4*g - 2*g)*(-3*g - 2*g - g)).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -50\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 60. Which is the nearest to -2\/13? (a) o (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14040 + -14040. Solve -5*d + 4*p + 26 = m, -9*p + 8*p = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.5 and 336.\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + y + 4*y)*(-2*y**3 + 2*y - 2*y) + (-3 + 1 + 6)*(-4*y**4 - 3*y**4 + 13*y**4) to r + k*y**4 + b*y**2 + n*y**3 + d*y and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 + g. Let c be d(5). Let v(f) = -f**2 + 6*f + 3. Let a be v(6). Solve a*o - 9 = 5*k, c*k = 4*k - o - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from {f: 14, q: 2, o: 1}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/(w*(w*w**(-12))\/w))\/((w\/(w**(-7\/4)*w))\/w*w**3*w) assuming w is positive.\nAnswer: w**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + k - 15. Let n be y(-11). Let d = n + -61. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 17*m + 86. Calculate p(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -11. Suppose v*n - 7*n - 12 = 0. Let c(l) be the first derivative of 5*l**2\/2 - 3*l + 1. What is c(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.46886 minutes to microseconds.\nAnswer: 4888131600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -131 (b) 9 (c) -3\/2 (d) 5 (e) 1\/6 (f) 0.3 (g) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123)\/(-12) - (-3)\/(-12). Suppose -2*j - p = t - 5, 0 = 4*t + 3*j. What is the second derivative of -2*u - 5*u**3 + 5*u**t + 5*u**3 wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6012 = 11*b - 15*b. Suppose h + 0*h = l + b, -3*l = -h + 1495. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 526531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(sqrt(832) + (sqrt(832) - (2 + sqrt(832)) - sqrt(832)))**2)*6.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 4 (c) -5 (d) -7.8 (e) 456 (f) -0.4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70)*-2 + sqrt(70))*-3)\/(sqrt(1440)*-4*5).\nAnswer: 3*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - 7 - (-450714 + -2). Let w = f - -419290. Suppose 3*i - 3*l = -i - 3480006, 3*l = i + w. What is i rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/40)\/(-5 - 70\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 10*p. Solve -3*s = -4*t + 13, t + p*t = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnppsssqnqqn. What is prob of sequence snnq?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 + 417*y + 416. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429 and 427572.\nAnswer: 61142796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k + 8, 0 = 4*y - 3*k - 14. Calculate the least common multiple of (8\/(-3))\/((-3)\/9) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514.3498*0.7.\nAnswer: -360.04486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:09 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 3*u, -5*u + 2 = -2*u - m. Let h(s) be the third derivative of s**4\/24 + s**3\/6 + 6*s**2. Give h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040490 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*y**4 - y**3 - 286 wrt y.\nAnswer: -184*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/3 - (-50)\/30*60\/(-25). Factor -2\/3 + x*r**2 + 2*r.\nAnswer: 2*(r + 1)*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-4)\/(-8)*0. Suppose -3*c - 5 = s, -3 + 11 = -4*c. Let v be k + s - (2 - 3). What is the highest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5961 - 6*c - 5993 + 17919 - 5965.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2213, 2273, 2333?\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b*(b*b**(8\/15)\/b*b)\/b)\/b*b)\/b))\/(b\/b**(-24\/5)) assuming b is positive.\nAnswer: b**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3 - i - 2*i - 13*i. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = -66*u + 3*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103, -372, -817, -1438?\n\"Answer: -88*x**2 - 5*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n**(-1)*n)\/((n*n**(-2\/7))\/n*n**(2\/5)) assuming n is positive.\nAnswer: n**(-109\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3 + 8350*c**2*u + 4*c*u**2 - 2*u**2 - u - 20 wrt c?\nAnswer: 6*c**2 + 16700*c*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 10, -4*k - 5*v + 18 = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1 - -51) + (-330)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + o + 21. Let d be q(0). What is the greatest common divisor of 84 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*(-16)\/(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 3. Suppose 5*m = -5*o + 13 + 2, -5*m = -3*o - 15. Let j be q(o). Let x(a) = -a**3 - a**2 + 2*a - 2. What are the prime factors of x(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z - 2. Let c be p(-2). Let v(t) = t**3 + 6*t**2 + 7*t + 7. Let r be v(-5). Let q be ((-2)\/r)\/(c\/(-15)). Solve q = -u + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -4*u - 18 = -5*o - 7*u, -m*o = 2*u - 16. Solve 5*d - o = -x, -3*x + 4*d = 14 + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40019\/58630 - 2\/2665. Find the common denominator of z and (408\/4 - 3\/2)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2424 and 0.77347682.\nAnswer: 2424.77347682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-4 + -3)*-2. Do r and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1682556 and 85529930?\nAnswer: 513179580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6848351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2\/17, 19, -0.289, 4 in decreasing order.\nAnswer: 19, 4, 0.9, 2\/17, -0.289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5947402 - -5947402.04999997. Let w = d - 0.05. Round w to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13767 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 29035.\nAnswer: 52\/29035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 352*c**3 - c**2 + 4*c - 3. What is u(1)?\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.05, -3, 56.1, 262, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7775 divided by 7775?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.7 and 0.4?\nAnswer: -12.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 plus 356297846?\nAnswer: 356297847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -396 + -14191?\nAnswer: -14577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055427 - 0.2.\nAnswer: -0.144573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -5, 0.7, -0.1, -7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-325))\/(83\/1245)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4672 - 74753\/16. Which is the second biggest value? (a) -3 (b) q (c) -3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 9*t**3 - 7*t**3 + 43*t**3 - 11*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -2*sqrt(425) + -1 + 1*(sqrt(425) + sqrt(425) + sqrt(425) + sqrt(425)*2)**2)*-1.\nAnswer: -10622 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3, 4*s - 43 + 6 = r. Solve -2*j - z + s = 0, -1 + 4 = 2*j - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - -102?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.282 - -3.382. Let f = 40.3 + -28. Let w = 12 - f. Which is the closest to s? (a) -0.03 (b) w (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 60 = 4*z, -1118*z + 1115*z = 3*y + 15 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 3*q. Let j = q - -15. Calculate the highest common divisor of j and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.71 + 62.59. Round m to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 13*x**2 - x + 1. Let y be o(-13). Suppose -y*z = -3*z - 44. Solve i - z*h = 2 - 3, 4*i = -2*h - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2701)\/146*(1 + -137). Let u = 3618 - b. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w - 1. Let z be 0\/(3\/3*w). Which is the smallest value? (a) 1\/3 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q + 11. Let w(o) = -7*o - 21. Suppose -28 + 10 = -3*x. Let k(m) = x*w(m) + 11*v(m). Let u be k(8). What is the greatest common factor of u and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 115, 58, -1, -62, -125?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u + 2*j = 22, 2*u - 8 = 5*j. Let s = -8 - -5. What is the lowest common multiple of u and (-21)\/(-1) - s\/(-3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 479 and 10588774.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314003?\nAnswer: 314003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 5*q. Let j be z(-7). Suppose -17*m + 513 = -j*m. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3520)*2 - sqrt(55))\/((sqrt(99)*-2)\/sqrt(9)).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110347 + 168?\nAnswer: 110515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 11846.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 - (12 + -21 + -12). Solve c*p = -p + 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/10 - 7*a**4\/6 + 14*a**3\/3 - 8*a**2 + 39*a - 2. Solve c(z) = 0 for z.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 904\/(-28) - 2*3\/(-21). Let u = 43 + h. What is the least common multiple of 4 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 3 + 7 - (-2 - -10). Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from {f: 2, i: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34268 and 75.62.\nAnswer: -34192.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 + 4*p - 3. Let b(a) = -2*a**3 + 5*a**2 + 11*a - 10. Give 4*b(n) - 11*s(n).\nAnswer: 3*n**3 - 2*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.8 and 4624?\nAnswer: 4623.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38143 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*2*3 + (sqrt(136) - (-4*(-2*sqrt(136) - sqrt(136)) - sqrt(136))) + sqrt(136))*-2)\/(1*6*sqrt(32)*-2) + 2.\nAnswer: -sqrt(17)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**6*(r**(-2\/7)\/r)**(2\/3) assuming r is positive.\nAnswer: r**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40c (base 14) to base 3.\nAnswer: -1002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*r - 20, 5*c - 4*r + 20 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -7\/16, 4, 0.5 in increasing order.\nAnswer: -7\/16, 0.5, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p - 1. Let h(w) = -42*w**2 + 35*w - 35. Let t(x) = -3*h(x) + 105*i(x). Let z(o) = 2*o. Calculate t(z(v)).\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10733731 (base 8) to base 2.\nAnswer: -1000111011011111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0.2 (c) 2\/1033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 - 2*x**5 + x**5)*(-1 - 4 + 0) + 2*x**5 + 0*x**5 - x**5.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 170855*b**2 + 170854*b.\nAnswer: b*(b - 170854)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 + (-4 - (-6 + -5)) is divided by (-32)\/(-80) + (-732)\/(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323554 (base 8) to base 2.\nAnswer: 1011010011101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1718, 1770, 1822, 1874, 1926, 1978?\nAnswer: 2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-2)\/(-12)*((-136)\/(-10))\/2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85027 <= 85028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2)*(3*c - 7*c + 3*c) + c**2 + c**2 + 0*c**2 + (-106*c + 800*c + 493*c)*(-2*c + 2*c - 2*c).\nAnswer: -2373*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(156)*2 - sqrt(156))*-5 - sqrt(156)) + -1*sqrt(156)*2)\/(-2*-2*sqrt(972) + (sqrt(972) - 2*sqrt(972))*1).\nAnswer: -8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -241570922 less than 24.7125?\nAnswer: 241570946.7125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736414147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.867 times 1?\nAnswer: 31.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 667*i + 1335. Calculate d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:53 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 637 + -1507670?\nAnswer: -1507031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 + 1\/6*s**3 + 1\/12*s**4 + 0*s - 2*s**2. Let h(w) = 6*w - 2. Let v be h(1). What is t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 7*w**2 + w - 12. Let z be p(-5). Suppose 2 = 2*a - 3*y + 11, 5*y + z = -2*a. What is the tens digit of (-1548)\/a - (5 - -1)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 0.03. Sort -4, w, 4 in ascending order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 1031340.\nAnswer: 7219380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 12. Let f be t(-12). Let r(y) = -3 + 3*y**2 + 0*y**3 - y**3 + f*y**3. Let a(l) = -l**3 + 2*l**2 + 2*l - 1. Let o be a(2). Calculate r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30838.536 to the nearest 100.\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**3*w))\/w)\/((w\/w**(-1\/21))\/w))**14\/((w*w*w\/(w\/(w*w*w**4*w))*w*w)\/(w*w*(w\/(w**(7\/6)\/w))\/w))**6 assuming w is positive.\nAnswer: w**(-335\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000021273 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2570341910 divided by 5\nAnswer: -514068382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(2\/29)))\/(r\/((r\/((r*r**(-3\/2)*r*r)\/r))\/r)))\/((r**33*r)\/r**28) assuming r is positive.\nAnswer: r**(-431\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 114 = 94. Solve -3*a + 4 = -t - 0*t, -j*a = 5*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Are -3\/2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 3132.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-13) + 6\/(-39). Let s be (0 + p - -1) + 4. Solve 4*i = -s, -3*i + 5*i = 5*a - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*m + 170 = 0, -8*a + 33 = -7*a + m. Let o(q) = -38 - a*q + 61*q - 22*q. Let i(r) = -3*r**2. Calculate o(i(j)).\nAnswer: -3*j**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(363))**2 + sqrt(363) - (sqrt(192) + -1 + sqrt(192) - sqrt(3)).\nAnswer: -4*sqrt(3) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 12. Let c be q(3). Which is greater: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, o: 1}. What is prob of picking 1 o and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 89*j + 448. Let l(h) = 2*h + 137. What is s(l(x))?\nAnswer: 178*x + 12641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 71. Let c be f*-23*-1*1. Solve -6 - 336*i**3 + 64*i**4 - 11*i - 28*i - 32*i - c*i**2 = 0.\nAnswer: -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2804 and 496.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1381012373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*d - 20, -5*r + 13 = 2*d - 4*d. Let o(m) = 38*m**3 + 2*m**2 - m. Is 13 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5748 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 334?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b - 4 = -2*b, 11 = -5*n - 3*b. Put -4, 5, n in decreasing order.\nAnswer: 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*r**3 - 2\/7*r**2 + 0*r + 0.\nAnswer: r**2*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11518246 + 133?\nAnswer: 11518380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-6)\/((2*sqrt(4) + sqrt(4))*-1).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 21738 = -154457 - 55199. What are the prime factors of g?\nAnswer: 2, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)*t*t**(-1)\/t)**(2\/113)\/(t**5*t**(-2\/7)*((((t\/(t*t*t*t\/t**(-2\/5)*t*t))\/t)\/t)\/t)**50) assuming t is positive.\nAnswer: t**(1642399\/3955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*-406*12\/(-24)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 13704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/26)\/(4470\/(-7748))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585390 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -952577 divided by 5\nAnswer: -952577\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, p: 3, u: 2, l: 3, a: 5}. Give prob of sequence zppz.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*i + 192 = -86, -3*i + 1066 = 4*t. Suppose 0*f - 5*f - d = -335, t = 4*f + 2*d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35604 (b) 1\/8 (c) -39 (d) -4 (e) -9 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -41*h - 105 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p + 0*p**4 - 2*p - 9*p**2 - 3 + p**4 + 2 as k*p**3 + a*p**4 + g + t*p**2 + w*p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 3*f + 20*f = -92, 28 - 48 = 4*q + 5*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.31046 rounded to two dps?\nAnswer: -65.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (22 + -21 + (-14 - (4 - 6))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y**2. Let i be (((-21)\/(-2))\/7)\/(-8 - -14). Let r(j) be the second derivative of 0 + 0*j**3 - i*j**4 + 12*j + 0*j**2. Give l(r(m)).\nAnswer: -90*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 9*f + 2*m - 44 + 52, 2*f = m - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 14, 38, 82, 152, 254?\n\"Answer: i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o + 63. Let d be y(-6). Suppose -18*i - d*r = -23*i + 4049, 0 = -2*i + 5*r + 1612. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150398*h + 45 = -150401*h + 5*m, 3*m - 49 = 4*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-9089801.\nAnswer: 908980.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106601 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/61, -2.7353, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.162\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 + 111*m**2\/5.\nAnswer: 3*m**2*(m + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -42*m. Let i(s) = -s**2 + 2*s - 2. Let q be i(-3). Let p = -16 - q. Let l(r) = p - 1 + 0 + 2*r. Give k(l(z)).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-2 + 1))*0. Let r = 13 + 16. Suppose 3*q - 83 + r = v. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*h - 11*h. Solve h*y - 12 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -63, -82, -81, -54, 5, 102?\n\"Answer: t**3 + t**2 - 43*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 v, and 1 i when four letters picked without replacement from vgvnivxxvvx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1382?\nAnswer: 1\/1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 9:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 4*o**2 + 2*o - 1. What is a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-27))**(-8\/15) assuming u is positive.\nAnswer: u**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y + 1. Let f be c(-1). What are the prime factors of (-3 - -2)*f*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.661368862408 from 0.05.\nAnswer: -0.611368862408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, 1\/5, 3, 9\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 6*j**2 + 9*j - 3. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f. Let m(y) = -8*y**2 - 21*y. Calculate m(a(q)).\nAnswer: -968*q**2 - 231*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -48. Suppose 0 = 5*b + m - 457. Let g(d) = -142*d + 754. Let n be g(5). Calculate the highest common factor of b and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4984 - 199391\/40. What is the common denominator of 107\/600 and y?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 2*s**2 - s - 1. Let i be w(-1). Solve 0 = 2*z + 9 - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -781\/10, 0.3.\nAnswer: -781\/10, -6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 + -116. Let i = -18 - -31. Suppose -4*l - i = -65. Calculate the highest common factor of l and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 60*a + 2. Let x(k) = 3*k**2 + 269*k - 7. Let t(o) = 9*j(o) + 2*x(o). Let b(f) = -5*f**2 - 4*f + 7. Let y = -3 - 1. Give y*b(n) + 7*t(n).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 53*p**2 + 2. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 385*r**2 - 14790*r + 6079. What is u(38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159916 not equal to 4159916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216782 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*i - 306750*c**3 + c**2*i + 7*c**2 + 23*c*i + 12*c - i - 25019 wrt c?\nAnswer: -12*c*i - 1840500*c + 2*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 1 - 1)*(2 - 2 + g**2)*(-2 - 5 + 5) - 2*g**2 + 40244*g**3 - 3*g + 14*g**2 - 40243*g**3 as v + t*g**3 + w*g**2 + z*g and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - -24?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 1\/5, -2\/3, -25\/267?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276228*y**4*z - 45*y**4 - 2*y**2 + 2*y*z + 65*y - 34*z - 3091 wrt y.\nAnswer: -3314736*y**2*z - 540*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = y - 2*t - 35, -5*t = -20. Suppose -3*d - p = -14, 0*p = 4*d - 3*p - y. Let g = -92 - -94. Put g, -1, d in ascending order.\nAnswer: -1, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25082 by -4.\nAnswer: -12541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -86. Which is the fourth biggest value? (a) 0 (b) o (c) -7\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8107269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/17, -1, 0.061, 0.3 in decreasing order.\nAnswer: 5, 0.3, 2\/17, 0.061, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 19*n - 29. Let y be m(17). Solve k - y = 2*t, -3*t + 5*k + 23 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*l + 2*x, 3*x + 0*x = -5*l + 57. Solve l*j = 31*j + 133 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 10*p**2 - 4*p - 160.\nAnswer: (p - 4)*(p + 4)*(p + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 76, 66, 56, 46, 36?\n\"Answer: -10*h + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 - -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -18*o + 2\/9*o**4 + 12 - 22\/9*o**3 + 10*o**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(52) + sqrt(52) + sqrt(364)\/(sqrt(28)\/sqrt(4)))*2 - (sqrt(52) + -6*sqrt(156)\/sqrt(3) + sqrt(1300) + -1))**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {m: 1, h: 1, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54294 divided by 6.\nAnswer: -9049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-872)\/18 - (-13552)\/12705*(260\/(-48))\/(-13)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -24*i - 447 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i - 6. Let k(a) = 2*a**2 + 3*a + 2. Let t be k(-2). Let r = t - i. What is the highest common divisor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(125)*2 + 5)*2 + 3 + 5 + -1 + 2 + sqrt(125))**2.\nAnswer: 12390*sqrt(5) + 58606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from 27045935.39584.\nAnswer: 27045976.39584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2059 = -23*d + 1152 - 129. Suppose -2*b + 580 = 1752. Let l = d - b. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 3178624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1374 and 5282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 8}. What is prob of sequence fxff?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001222 - 221010212?\nAnswer: -1120012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -5*x**3 - 90*x**2 - 64*x. Differentiate i(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - -7) + -6 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188*n + 1176*n + 8280 = 0. What is the smallest common multiple of n and 345?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -9*g + 151. Let y = g + 271. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33405\/32 + 1044. Which is bigger: 0.2 or g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77)\/sqrt(11) + -4 + (sqrt(7) - -3*sqrt(7))*-1)**2.\nAnswer: 24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 5*f**2 + 2*f**2 - 3*f**2 - 3*f**2 + 4*f**2 + (-2*f + 0*f + 13*f)*(1 - f - 1) to y*f + d + b*f**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**22*m)*m)**(7\/4) assuming m is positive.\nAnswer: m**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 50045025*q - 2. Let l(x) = 3*x. What is l(p(s))?\nAnswer: 150135075*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14*1\/2. Let q = -1.4 + 1.1. Which is the third smallest value? (a) q (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/19409 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6116.1728 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -279.22 and 88.38796.\nAnswer: -190.83204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) - (sqrt(588) + (sqrt(588)*2 + sqrt(588) - sqrt(588)) - sqrt(588)))*-1*-5)\/((3*-1*sqrt(12))\/(sqrt(3) + sqrt(108)*2 + sqrt(3))).\nAnswer: 490*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - -392. Calculate the remainder when i is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -5, -2, -0.3, -1, 3.8 in descending order.\nAnswer: 3.8, 1\/7, -0.3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**2 + 102888104*m - 34296036.\nAnswer: 4*(m + 8574009)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from luuluuluuuuululluu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 17 - 25 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -83674276\nAnswer: -334697104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:06 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 5) + -24 + 26 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/144*4 - 31\/6. Let x(q) = -q - 1. Let y(a) = 2*a**2 - 9*a - 2. Let c(f) = u*x(f) + y(f). What is c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and (-3)\/4*(-122)\/2106.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(46\/(-460)). What is the nearest to 2\/5 in j, 0.5, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1684, 23, 1\/3?\nAnswer: -0.1684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176432159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f, 4*w - 35 = -f + 2. Suppose -n + 3*q - 2 = -2*n, 4*n + q - w = 0. Let o be n + 11*2 - 0. Solve 5*h = -4 + o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*a + 194*a - 3744. What is the lowest common multiple of a and 7?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2807697, -2807703, -2807709, -2807715, -2807721?\nAnswer: -2807727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 577, 608, 641?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290660?\nAnswer: 2, 5, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1749 - -1210. Let l = a - -715. What is the greatest common factor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d**3 - 188\/3 - 64*d**2 - 126*d.\nAnswer: -2*(d + 1)**2*(d + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 + (-1 - -1))*(-63)\/(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {g: 4, s: 2, w: 2, c: 2, n: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 2 = -7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lala when four letters picked without replacement from laala.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/267820 and 57\/267820.\nAnswer: 267820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + (sqrt(448) - (sqrt(448) + sqrt(448) + 0)))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**2 - 4*z**4 + 2*z**2 + 3*z**4 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 - -88?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Evaluate (-48)\/(-8)*(-9)\/(54\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/493 or 1?\nAnswer: -2\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2589 and 2575192.\nAnswer: 7725576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3*h - 4)*(12 + 37 + 10)*(-7*h + 6 - 6) to the form o*h + c*h**2 + t and give c.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23913 and 0.8?\nAnswer: -19130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**4 + l - 1. Let p(g) = -14*g**4 + 36*g**3 - 66*g**2 - 956*g - 12. Let x(b) = 12*j(b) - p(b). Factor x(a).\nAnswer: 2*a*(a - 11)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 34*t**2 - 33*t + 8. Let y be m(-33). Let j = 4 - 0. What is the greatest common factor of j and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292 (base 14) to base 8.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0642 - -0.0226. Let j = t + 0.0416. Let m = 6 - 4. Put m, 4, j, -2 in decreasing order.\nAnswer: 4, m, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1630650 divided by 5.\nAnswer: 326130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284716 - -569453\/2. Factor -z*k**2 - 3\/2*k**3 + 0 + 0*k.\nAnswer: -3*k**2*(k + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/149003330 and -137\/3412290?\nAnswer: 447009990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12623 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498195.\nAnswer: 3, 5, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 10*n - 3. Suppose -16*l + 480 = -21*l. Let o = l + 98. What is the smallest common multiple of p(3) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhffhnnhfhhkhfhfhd. What is prob of picking 1 n and 1 d?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 6. Let i be c(5). Solve -i = -295*p + 291*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/9 - 146*j\/9 - 316\/3 = 0.\nAnswer: -6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*j - 413*j = -649*j + 284 - 16959 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (1*sqrt(91) + sqrt(91)))*3 + sqrt(91))*-2)\/(sqrt(70)\/(sqrt(20)\/(sqrt(2)*-2))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-120 - -5) + 41\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5, -170*s + 3*r = -165*s - 8683268. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 4*l = 66 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*h - 27, -2*u - 3*h = -5*h + 12. Let b be (-1)\/((-2)\/(-8)*-2). Suppose 25*c + 48 = 13*c. Sort b, c, u in descending order.\nAnswer: b, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2426001g?\nAnswer: 0.0000002426001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15964 + -15962. Sort -2, 16, 1\/5, v, -0.048 in ascending order.\nAnswer: -2, -0.048, 1\/5, v, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 2107155366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*k = 84, -8*k + 19 = f - 5*k. Suppose f*x = 21*x. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173058477 to the power of 1\/2, to the nearest integer?\nAnswer: 13155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.00000024 + 26. Round k to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 2*b + 64. Suppose -5*r = 3*t - b + 5, 4*t = 3*r + 150. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79073 - -0.4216. What is m rounded to three decimal places?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1350 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 + 0*w + 1\/12*w**4 - 20*w**3 + 229*w**2 + 173\/60*w**5. What is the derivative of a(k) wrt k?\nAnswer: 346*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/3, -3, -0.2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/48*64*60\/((-60)\/3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 + -2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l - l - 38*l + 8*l + 5*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -5*k + r, 3*k = -2*r + 20 + 29. Suppose 106*h - 205*h + 3201 = 192*h. Sort h, -3, k in decreasing order.\nAnswer: k, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/(g\/g**(-4)))**(-6\/5)\/((g\/(g*g*g**(3\/4)*g))\/((g*g**(3\/2))\/g)*(g\/(g*g\/g**(-1\/3)))**(-19)) assuming g is positive.\nAnswer: g**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 1, -18, -6, -4, 5 in ascending order.\nAnswer: -18, -6, -4, 1, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*y - 24 = 129*y. What is the hundreds digit of ((-76)\/y)\/(-19) + 2089\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 31. Let c be i(13). Suppose -5*p = -c*l + 80, 4*l + 4*p = 15 + 73. What is the greatest common divisor of l and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 768*i + 765.\nAnswer: 3*(i + 1)*(i + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 498 - 498.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183\/(-756)*2 + (-192)\/42 + 5?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74627402?\nAnswer: 2, 19, 307, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 7*c + 0 + 3*c - 3 + 2*c**4 to z*c + v + w*c**2 + o*c**3 + k*c**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -249*t + 1115 wrt t?\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2 - 505033*j + 184661?\nAnswer: -2*j - 505033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 224.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 bigger than -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8824, -17656, -26488, -35320, -44152, -52984?\n\"Answer: -8832*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20496, 7, 0, -3 in ascending order.\nAnswer: -20496, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-1 - sqrt(204))*2)\/((sqrt(12) + sqrt(108) + sqrt(12))*5).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + c + 142 = 3*w, 49 = w + 5*c. Does 31 divide 8510\/w + -2*(-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w + 113*w - 146*w**2 - 31*w.\nAnswer: -146*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -14) + 5 + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 233877.\nAnswer: 233877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = 35*m - 2*z + 29, 0 = -9*m + z - 47 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - (29 + (-550)\/18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -46. Suppose -m*h = -22 - 33. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/4 + c**2\/2 - c. Suppose 5 = -5*t - 10. Let a(k) = k**3 + 3*k**2 - 2*k - 7. Let s be a(t). What is z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 1924*a + 20 = -1919*a, a + 0*a = -5*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -845 + 7601\/9. What is the nearest to -0.1 in -3\/5, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (70\/(-4))\/(-6 - (-2155)\/360).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**18)**12 assuming w is positive.\nAnswer: w**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 32370*p + 2513. Is k(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 59\/2. Let y be 96\/432*-1 - (-16)\/(-90). Sort -24, y, u in descending order.\nAnswer: y, u, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3 + 3 + b + 0 - 6. Let l be x(3). Sort -3\/7, l, -0.1 in ascending order.\nAnswer: l, -3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 24658 = -3*c + 304596, 0 = -5*c - 10. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 3*u - 5*a = u - 18*a - 116, -57*a + 116 = 4*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*(-10)\/(-30)*12. Solve -3 + 23 = m*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((9 - (-1 + 2)) + -374 + 344)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.9. Let k = 0.3 + 0.2. Suppose -81*h + 1888 = -553*h. What is the second smallest value in f, k, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101718763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h. Give t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6487465.741 to the nearest 10000.\nAnswer: -6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(28)\/(-4*sqrt(4)).\nAnswer: -5 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 72*d + 2. Let m(n) be the third derivative of -n**6\/180 - 97*n**3\/2 + 125*n**2. Let j(c) be the first derivative of m(c). Determine j(i(f)).\nAnswer: -10368*f**2 - 576*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -63, 1\/3, 0.4, 2 in increasing order.\nAnswer: -63, -5, 1\/3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g - 8. Let i(h) = -7*h - 5. Give 5*i(c) - 3*j(c).\nAnswer: 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 - 3*y + 8945. Suppose -18*g + 8*g = -3*g. Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 - -4 - (-692 - -3). Let c = d - -199. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.50414 rounded to 1 decimal place?\nAnswer: -185.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3465592 and 1128.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 14*u**2 - 15*u + 7. Determine q(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from igygyigyyiugyyg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*t - 22. Suppose 63 = l + t. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174*j**3*x**4 - 880*j**3*x - 12*j**3 + 2*j**2*x - 2*j - 797*x**4 wrt x.\nAnswer: -2088*j**3*x**2 - 9564*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3587 + -46635\/13. What is the second smallest value in 0.3, t, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 6*k + 9. Suppose -54 = 6*f - 18. Let p(n) be the first derivative of 2*n**3\/3 + 5*n**2\/2 - 8*n - 83. Determine f*g(c) - 7*p(c).\nAnswer: 4*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -529, -1723, -4009, -7741, -13273?\n\"Answer: -59*n**3 - 15*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 43, -2, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 12*z**2 + 7*z + 15. Let a(j) = -j**3 + 3*j**2 + 4*j - 1. Let y be a(3). Give v(y).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/3*(12\/(-10) + 0). Suppose -2*t - 17 = w, -5*w + 28 = -z*t - w. Let p be -2 - (-11 - t\/4). Are p and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + -2 + sqrt(1377)*-2)*3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - 2020033?\nAnswer: -2020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*g = -y + 1591, 3*y - 5*g - 1636 = 0. Calculate the remainder when y is divided by 114.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 + 7. What is s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450494051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -803182 + -1?\nAnswer: -803183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7522 is divided by 756?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4469, -8982, -13499, -18014, -22521, -27014, -31487, -35934?\n\"Answer: l**3 - 8*l**2 - 4496*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(192\/8)*16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6.2 (b) 14343 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {v: 7, i: 3, z: 2, l: 8}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 + 4*l - 2. Let i be g(-4). Suppose 3*f + i = -23. Let h be f\/75 + (-6)\/(-10). Which is the third biggest value? (a) h (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-58)*48\/(-18)*1176\/(-32).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -24. Let c(r) = -7*r + 1 + 4 + r**3 - 26*r**d + 20*r**2. Let y be c(7). What is the highest common factor of 40 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/6)\/2)\/((-600)\/300).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*m + 120, -142*j + 4*m = -139*j + 79. Put -4, 5, 33, j in descending order.\nAnswer: 33, 5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7687, -6, 3, 1 in decreasing order.\nAnswer: 7687, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 1, -14, -35, -62, -95?\n\"Answer: -3*u**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7408? (a) -1\/8 (b) 5 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 42284086.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 256 - 235. Suppose 8*i = i + b. Let n be 4\/(-14) - (-16)\/7. Solve -n*h + 10 = 4*c - 0, 20 = i*c - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcq when four letters picked without replacement from {c: 13, q: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + 44011?\nAnswer: 44310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {q: 1, e: 5, z: 3, t: 2, p: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/20 and 63\/2314.\nAnswer: 23140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27013406 - -16.03006294. Let x = -210.3 + 194. Let m = y + x. What is m rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196062 divided by 2391.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/54 - (28504\/(-2544) - 2\/(-53))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.505 - 1.41. Round h to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 111\/(9\/24*2). Let q = 37 + -141. Let g = q + r. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 5. Let l be k(-5). Solve -3*c - 1 = -v, -3*v - 1 + l = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14365, 28730, 43099, 57472, 71849, 86230, 100615?\n\"Answer: 2*x**2 + 14359*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4750)\/450)\/19*((-4)\/(-2))\/((-4)\/6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.07 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let l = 1893 - 1892.7. Which is the closest to -1\/3? (a) d (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2957396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**2 - 21*q**2 + 10*q**2. Let b(h) = -3*h**2. What is b(r(d))?\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2340)\/330 - -7)\/(((-20)\/(-8))\/5). Let l = -0.34 + -3.06. Let p = l - 0.6. What is the fourth smallest value in p, -2\/5, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*l - 24606 = 0, -181*g + 183*g + l - 16405 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1140)\/(-18))\/(-19))\/(2\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*b + 317*b - 157*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c798 (base 14) to base 15.\nAnswer: -a309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191999661, -383999324, -575998989, -767998656, -959998325?\nAnswer: -1151997996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2021 + 0.0678. What is p rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000097527 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 100*a**2 - 99*a + 199. Determine y(-101).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m + 24*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294 is divided by 709?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*-15*20\/675\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-10)\/3*187\/(-374). Sort 1, f, -177 in increasing order.\nAnswer: -177, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**4 + 6*y**3 - 14*y**2. Let h(v) = -2*v**4 + 2*v**3 - 5*v**2. Let k(z) = -14*h(z) + 5*o(z). Let k(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 e, and 1 i when four letters picked without replacement from iezczzzzz.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20336531 - 4?\nAnswer: 20336524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27 - 220\/(-18). Suppose -f + g = f. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -39*a + 101. Let j be y(-18). Suppose 4*m - q = 2146 + 1039, j = m + 2*q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22876 and 256384600.\nAnswer: 256361724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 10*x + 35, -23 = 2*x + 37*d - 34*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d)**(-14\/5))**2)**(1\/4) assuming d is positive.\nAnswer: d**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*c - 56. Let x = c - -7. Solve x = -3*n - n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:09 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 8*p**2 - 11*p - 12. Let w be (3\/(-4))\/(9\/(-36)). Let b be w\/(-2 - (-26)\/16). List the prime factors of a(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8453899997\/3228 + -10475697\/4. Let p = 12\/269 - g. Find the common denominator of (31\/(-30))\/(4\/(-10)) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.14, 4408, 2\/3, 4 in decreasing order.\nAnswer: 4408, 4, 2\/3, -0.14, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 9*i + 21. What is a(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -68, 1\/3, -2, 36, 37.\nAnswer: -68, -2, -0.2, 1\/3, 36, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)\/((-272)\/(-1237192)). What is d rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11220 - 13430232?\nAnswer: -13414012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/7 + 6*h**4\/7 - 22*h**3\/7 - 6*h**2\/7 + 20*h\/7 = 0?\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20303\/570 - -526\/15. Find the common denominator of 6\/133 and v.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z**2 + 1)*(0*z**2 + 2*z**2 + 2*z**2)*(-1 - 3 + 5)*(5 - 2 - 1).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 16*k - 55. Let n be j(19). Which is the fourth biggest value? (a) 4 (b) n (c) -3 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/118376 and 51\/320.\nAnswer: 4735040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 38.838 millennia?\nAnswer: 3883.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -19. Sort 10, 4, l in decreasing order.\nAnswer: 10, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 463, 450, 433, 412, 387, 358?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-420)\/40)*6\/(36\/7)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 7) to base 10.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9751?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (63160\/1040 - 61)*(2 - (-2)\/(-7))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2. Let o(f) = 2 + 1 - 8*f**2 + 6*f**p. Give o(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 7 = -i, 3*z = -5*i - 22. Which is the third biggest value? (a) -2\/3 (b) i (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.4. Let y be -1 + (-3)\/((-15)\/4). Suppose 50 - 50 = 321*n. What is the closest to n in -0.5, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2559, -3615, -4621, -5577, -6483?\nAnswer: -7339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 45, 25.\nAnswer: 25, 45, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l**2 + 27*l - 19. What is t(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57114717 is divided by 520.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/259)\/((-58)\/4872)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(2299))**2 + sqrt(2299) - sqrt(2299) - (0 + sqrt(2299)*-3).\nAnswer: 33*sqrt(19) + 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11944666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/38144 and 73\/14.\nAnswer: 267008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36108741 is divided by 63017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 3, e: 4, a: 3}. Give prob of picking 3 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17490 and 842700.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/5*(-1)\/(4\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(168)\/(sqrt(6)*-2*-4)*-2)\/(1*sqrt(12)\/(sqrt(3) + (sqrt(63)\/sqrt(3))\/sqrt(7))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467466\/42 - -7*(-54)\/(-441) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -11. Let z(n) = -4*n - 28. Let o be z(q). Find the first derivative of 18 - o*y**4 - 14 + 9 wrt y.\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:05 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**2\/2 - 1. Let f = -428 - -901. Let w(o) = -249*o - 244*o + f*o. Calculate w(s(c)).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 - -6) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 18 = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 4.88. Let d(n) = -3*n - 27. Let v be d(-9). What is the nearest to -2\/3 in 0.5, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 214 (c) -452 (d) -9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18)\/(3 + (-29913)\/9958)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 583 + -325. What is the units digit of 116788\/t*12\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 a factor of 87676450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 8. Let p be a(-6). Let t(h) = -h**2 + 4. Let b be t(0). Solve -b*d = -4*w - 8, -w + 2*w = p*d - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - -2) + -135 - (-94 - (-168 - -82)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 32, 13*o - 1545 = -3*x + 10*o. What is the greatest common divisor of x and 6760?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 - 35 = -19*f. Let r be (22 - 11 - -13)*(-2)\/f. Solve 25 = 5*v + 2*m + 2, -m = -4*v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 38 = 2*m - 0*m, 2*m = -4*k - 48. Let v be k\/6 + 2\/3. Let z be (-3 + v)*(-2)\/(-28). Which is smaller: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2 - 13*a**2 - a + 4*a**2. Let z(i) = 15*i**2 + 6*i - 10. Let k(r) = 6*h(r) + z(r). Differentiate k(d) wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/15 - 34*u**2\/15 + 42*u\/5 + 54\/5 = 0?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 28, 1\/3, 8, 5, -2.\nAnswer: -2, 1\/3, 5, 8, 28, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 871*m**2 - 924*m**2 + m + 162*m + 0*m wrt m.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. Suppose 3*f - r*f + 39 = 0. Suppose -f = 9*q - 67. Solve 20 = -q*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5162\/8 - 8\/32. Suppose -w = -6*h + h. Suppose f - h = -0*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617 + 612 - 814 - 415 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96529 - 152?\nAnswer: -96681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37425d - -4?\nAnswer: 374262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 11*s**2 + 3*s - 3. Is 14 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268 - 271. Let x = 28 + -42. Let i = 37 + x. Sort q, i, 1, -3\/2 in decreasing order.\nAnswer: i, 1, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 163, 643, 1443, 2563, 4003, 5763, 7843?\n\"Answer: 160*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 15*a. Let s be z(10). What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m. Suppose -5*i - 18 - 87 = m. Let k be (-36)\/84 - 23\/i. What is the closest to -1 in -0.2, 2\/27, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -53*k**2\/2 + 12*k + 4. Let p be (-96)\/10 + 6\/10. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s. Let l(q) = -135*q**2 + 1. Determine l(m(i)).\nAnswer: -10935*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 10 (b) -7.4 (c) 980\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*-1)\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -1 - -4) + 17 - -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189 or 182?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 5*j + 0*j)*(-2*j**2 - 3*j**2 - 2*j**2) + (-2 + 0 + 0)*(-3*j**3 + 3*j**3 - j**3).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6909.95 to the nearest ten.\nAnswer: 6910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 40 = 5*a, 0 = -726*a + 730*a - x + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/27 - 2\/351. What is the third smallest value in 0.3, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.499949 grams to tonnes.\nAnswer: 0.000000499949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 11\/12*c**4 + 0*c**3 - c + 0 + 0*c**2. Let o(l) = l. Determine o(y(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d01c (base 16) in base 12?\nAnswer: 269b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 + 7*s + 3. Let u be ((-4)\/14)\/(26\/(-546)). Let q be n(u). Let w = -19 - -65. Is w not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6912 + 5130. List the prime factors of k.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1192 - -1165) + 27 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 25 = 145. Suppose 19*f + 100 = x*f. Let t = -51 + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 264. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lql when three letters picked without replacement from {q: 6, l: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046563657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5679 and -69\/1262?\nAnswer: 11358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8791510 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -419585.92 rounded to the nearest one thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3 + 4196*p**2 + 268540*p + 1675548 = 0.\nAnswer: -981, -61, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*b + 154*b - 3. Let y = -4 + 1. Is y at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d - 48 = 0. Let t(o) = o**3 + o - 107. Let w be t(0). Let u = d - w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111388.\nAnswer: 2, 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 2266 = -200*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -85*x. Let j(d) = -32*d**2 - 9*d - 9. Let h(k) = -78*k**2 - 22*k - 22. Let w(f) = 9*h(f) - 22*j(f). Determine b(w(o)).\nAnswer: -170*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:31 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 3*i + i)*(3 - 4*i - 3)*(i + 9 - 6 + 0) to x + n*i**3 + o*i**2 + z*i and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Solve 0 = -0*w - 2*w - j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:22 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579265 is divided by 579264.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828 = 4047*m - 4011*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**2 + 81716*o**3 + 43*o**2 - 81003*o**3.\nAnswer: 713*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -10*b + 120. Let i(z) = 2*z**2 + 31*z + 20. Let a be i(b). Let p(o) = -o**2 + 4*o. What is p(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(112)*4 - (sqrt(168)\/sqrt(3) + sqrt(56))\/sqrt(8) - -5*((sqrt(77) + 1*sqrt(77) + sqrt(77))\/sqrt(11) + 1)))**2.\nAnswer: 348*sqrt(7) + 5923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81638892 to the nearest integer?\nAnswer: 9035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5040 and 4746?\nAnswer: 569520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1*(8\/(-24) - -1). Let x(i) = i**3 - 2*i**2 - i - 1. Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let f(i) = 2*i**2 - 4. Let o be ((-3)\/6)\/(4\/(-216)). Let y(u) = 15*u**2 - 27. Let r(t) = o*f(t) - 4*y(t). Determine r(k(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 47 = 4*h. Let t = h + -33. What is the tens digit of ((-14)\/8)\/(t\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671*a + 846 = 680*a. Solve -8*x = 126 - a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f - 40. Let s be x(0). Let n = -40 - s. Let 0*p**3 + n*p**2 + 0*p + 1\/7*p**4 + 0 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2039*d - 1 - 1617*d + 1 to the form b*d + h and give b.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 5. Let g be a(0). Suppose 117 = 3*m + 4*b, -184 = -g*m - 2*b - b. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 - x**3\/3 + 6*x**2. Let u(i) = -2*i**2 - 10 + 5*i**2 - 1 + 4. Give -2*u(n) + 7*v(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = s - 24, 16 = 3*s + s. Let n be (-158)\/(-10) - 1\/d. Suppose i + 5*y = n, -2*y + 26 = 4*i - y. Solve 9 = 5*a + 3*r, -a - r - r = -i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2962 - -8090. Is a a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975960622.\nAnswer: 2, 7, 13, 227, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 + 182\/3. Suppose -2*s = 2*s - q. Let w be (-2)\/4*6 + s. Solve 4*t - w = 0, 2*i - 4*i + 4*t - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-36))\/(2\/3). Let q be t - (3 + 0) - -83. Suppose -q = -9*w + 6*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10197, 10195, 10193, 10191?\n\"Answer: -2*b + 10199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -11. Suppose -2*b - b = -w. Suppose 0 = -k + b*o + 11, -3*k + 3*o - 5*o = -11. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, 2, -2, 0.\nAnswer: -2, -2\/81, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m - 5. Suppose 9930 = 5*z - m*n, -3*n + 916 + 5012 = 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/4 + 11*u**3\/3 - u**2\/2 + 11*u + 53. Let z be i(-11). What is the highest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43295325839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2909, -6852, -10795, -14738, -18681, -22624?\n\"Answer: -3943*u + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f + 14. Let m be b(-7). Which is smaller: m or -78\/11?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 17*u**2 + 72*u + 16. Let c(v) = -v - 3. Let f be c(-3). Suppose f = -2*z + 15 - 7. Calculate the remainder when d(-9) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q - 38 = 4*d, d = -4*q + 1. Sort 0, 2, 3, d.\nAnswer: d, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 444177\nAnswer: -1332531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 4*l. Let o be (-4)\/(-5)*25\/(-10). Calculate the smallest common multiple of 6 and l - (-9)\/(o - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 2 c when four letters picked without replacement from bccccubbu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:28 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14567 - 9142. What are the prime factors of a?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 0, 0*v + 55 = 3*v - 5*y. Suppose -86 = -12*z + v*z. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/5, -1079808 in descending order.\nAnswer: 2, 4\/5, -1079808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27103 + 28373 = -1390*v + 14322 - 6106 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5890640 by -560.\nAnswer: -10519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045407 to six dps.\nAnswer: 0.000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/5 + 2*r**2 + 4*r\/5 - 16\/5 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Let l(w) = 1. Let u(v) = -l(v) + r(v). Let p be u(0). Is -2\/13 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 851 = 3*t, -4*t = -0*d + 2*d + 418. Let l be d\/(-142) - (-2)\/(-8). Let g = l + -1\/71. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93609 is divided by 2790.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1066 - -1070.51. Let j = p - 4.509998288. What is j rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 3\/7, 0.053, 1, -42\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 - 178. Let i(w) = -5*w - 17. What is the remainder when y is divided by i(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 5936 = 5*o - 17*x, 0 = o - 5*x - 1171. What is the remainder when o is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + -4 + 9 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55006936 or -55006935?\nAnswer: -55006935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 83\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, 21, 12861 in decreasing order.\nAnswer: 12861, 21, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 2, -10, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792 = -17*d - 239*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.6022 to one decimal place.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -13*s + 15*s. Is s equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - w - 3. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - 5*l, m = -4*m - 4*l - 2. Put -5, -12, -1, m in descending order.\nAnswer: -1, m, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 3. Suppose 20 = 151*i - 147*i. Let l(u) = -9*u**2 - 8. Let p(k) = 11*k**2 + 10. Let r(s) = i*l(s) + 4*p(s). Calculate a(r(x)).\nAnswer: 3*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 15. Let y = -4 + i. Let d be 3\/y - (-3 + (-4)\/(-8)). Solve -d = -u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-885)\/130)\/(-1*42\/8). Let x = 28\/13 - l. Factor -x*w + 3\/7*w**2 + 0.\nAnswer: 3*w*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -258, -501, -742, -981, -1218, -1453?\n\"Answer: s**2 - 246*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 132. Solve 0 = -2*y + 2*h, 3*y + 5*h + v = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 0 - 3 - 7*w**2 + 25*w - 4 - 21*w. Let f(d) = -9*d**2 + 9*d - 16. Let b(v) = -4*f(v) + 7*h(v). Determine b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22172 and 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 109 = -4*u + 2*f, 0 = -3*u - 4*f + 123. Let s = 75 + u. Let h = 218 - s. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let h = 3149.011 - 3152. Let k = h + i. Round k to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1245*t**2 + 1403 wrt t.\nAnswer: 2490*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 9*b**2 + 7*b - 6. Let t be u(-8). Let j be (-90272)\/42*(1 + t). Let p = 51509\/8 + j. Find the common denominator of p and -83\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -20 - (-2 + -5 - -7) - 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 15139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let j(o) = -5*o + 2. Suppose 4*p - 44 = -0. Let k = p - 8. Give k*i(r) + j(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 4*q + 238 - 161, -3*a + 0*a - 51 = -3*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Let t(d) = 2*d - 15. Let s be t(10). Let j be 54\/(-4)*(-12)\/9. Solve p = -s*w + 3*w + 9, -w = -f*p + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, 2 in increasing order.\nAnswer: -24, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2569*b + 4970*b - 2344*b.\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5 + 10*x - 3*x + x**2 - 18. Let n be y(-9). What is the units digit of (n\/(-6))\/((-2)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1007.6062 and 2374?\nAnswer: 3381.6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5)*(-400)\/160)\/(32\/(-80))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 343 (b) -166 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 + 0.04. Let r = -2 - -5. Let g = 0.213 + -3.213. Put g, r, w in increasing order.\nAnswer: g, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/156*(-5)\/(-6)*(-261)\/(-174).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.36 - -2.3447. What is i rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14255, -14017, -13721, -13367, -12955, -12485, -11957?\n\"Answer: 29*r**2 + 151*r - 14435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 7. Let z be u(-9). What is the greatest common factor of z and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 155, 586, 1429, 2822, 4903?\nAnswer: 7810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d3 (base 16) to base 14.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:38 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 208273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/(-95) + 219\/15. Put q, -6, 4 in ascending order.\nAnswer: -6, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27454.6 or -1?\nAnswer: 27454.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfvpmfbpc. Give prob of sequence cm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67852301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370 - 1471\/4. Suppose -7\/4*t**2 + 0 + 1\/4*t**5 - 5\/4*t**4 + 1\/2*t + l*t**3 = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -880, -1380, -1966, -2662?\nAnswer: -3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4735.7 - 4736. What is the fourth smallest value in 2, t, 2\/29, 3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 29 = -2*l - 6*q, 0 = 3*l - 3*q - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 34899 + 3*s + 0*s + 17428 + 17471.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 52*k + 28 - 8 = -40, 0 = -2*j - 5*k + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11988 - 6257 = -176*v - 55*v - 7157 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 + 3 = 0. Let s be ((-2)\/q)\/(4\/(-40)). Suppose 2*c + 2*c + 2 = -3*x, 3*c = s*x - 16. Which is smaller: 4\/3 or x?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6*r - 6 + (-2 + 2 + r)*(1 + 3 - 1) + (r + 0 + 0)*(-2 + 0 + 0) - 3*r + 2*r + 2*r in the form p*r + s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from verrfuttutut. Give prob of sequence ft.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11540838*c**3 + 26*c + 99055.\nAnswer: 69245028*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 41*b**3\/6 + 5*b**2\/2 - 1097*b. Let h(x) = 61*x + 8. What is -5*h(m) + 8*i(m)?\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/116 and 1\/24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 10, -4*n + 4*l = 0. Put n, -2, 21 in descending order.\nAnswer: 21, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**15)**(-3\/29)\/(l**(-9)*l*l*l**(-19)*l) assuming l is positive.\nAnswer: l**(677\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.367 - 92.\nAnswer: -94.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 11*j - 8 = 0. Solve j*y - 3*y = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -13. Let d = 66 - 31. What is the remainder when d is divided by 4\/((-40)\/(-12) - j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x - 5710*x**2 - 5704*x**2 - 23 + 11416*x**2. Calculate b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x - 9. Let b be t(-6). Let j be (4\/(-3))\/((-6)\/b). Let y be 1\/((-2)\/(-2*4)). Solve -2*a - y = j*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1\/3, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/5 at least -38913.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.03606?\nAnswer: 0.03606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686*z - 691*z + 70 = 0. Solve 2*r = -5*x + 17, -6*r + z = 4*x - 4*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v - 4. Let c(q) = q**3 - 8*q**2 + 7*q + 2. Let y be c(7). Let i(z) = z**y + 2*z - 5 + z**2 - 9*z - 2. Calculate -7*d(h) + 4*i(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-673 + 1367 - s**3 - 694 - 1473*s)*(-3*s + s + s) in the form t*s**2 + c*s + u*s**3 + k*s**4 + o and give t.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*r**2 + 2 + r - r - 8*r.\nAnswer: -816*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*x + 1 + 8, -5*x + 15 = 5*n. Let u(a) = -4 + 4 + 2 + 2*a + 7*a**2 - x. Let k(j) = -j**3 - 4*j**2 - 4*j - 2. Let g be k(-3). What is u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 4*i. Suppose i*y = -s - 4*s + 26, 3*y = s + 20. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovooooov. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6923\/688 + 50\/(-5))*1*-3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1690 divided by 169.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*x + 2439 + 5897 - 2749 + 2109 for x.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a2c (base 16) in base 5?\nAnswer: 11330004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2587 + 4748. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.849106 rounded to two dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r**2 + 43 - 3*r**3 + r**3 - 57*r**2.\nAnswer: -2*r**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 4, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(156)\/sqrt(4))\/((sqrt(12)*-2)\/sqrt(4)) + -1)**2.\nAnswer: 5*sqrt(13) + 329\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/111 and -131\/6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 4, 9577 in descending order.\nAnswer: 9577, 4, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556*a**2 - 43*a**4 + 296*a**2 + 280*a**2 - 362*a + 910*a + 259*a - 2 wrt a?\nAnswer: -516*a**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*k = 1368, 19*k = h + 20*k - 342. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 - -0.06. Let d = 113081\/6 + -18847. Which is the smallest value? (a) -1\/55 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966927227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 20) + (2 - 0) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -431112 + 50?\nAnswer: -431032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 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: What is the thousands digit of 1732447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a**3 + 4195*a**2 + 9540*a = 0 for a.\nAnswer: -9\/4, 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-8)\/(-6)))\/((12\/10)\/((-7952)\/(-3195)))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - (-2*sqrt(35))\/sqrt(5)) + (-6*sqrt(1008) + 4)**2.\nAnswer: -573*sqrt(7) + 36301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*4*(-10)\/40. Suppose 0 = 5*o - 4*r - 1201, 478 = p*o + 3*r - 248. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblbkcbtltbbbbbtbbb. What is prob of sequence ktt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 13*b + 23. Let d be m(-11). Let q be 2\/(-3) - (-34)\/6. Let z = q - d. Calculate the highest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067662117 rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21592110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 26\/(-13) - (-82)\/(-10)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -26. Calculate the remainder when 38 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/3 - c**2\/2 + 8*c. What is t(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130589.9 centimeters in nanometers?\nAnswer: 1305899000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - l + 9 = 0, -3*x - l + 0*l = -5. Let t(f) = -9 - f**2 + f - 6*f**x + 5*f**2 + f**3. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.27 + 0.27. Let l = -1 - -28. Let w = l + -24. What is the third biggest value in a, w, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*f + 152 + 44*f - 81 + 50*f.\nAnswer: -2*f + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/28, 0.01, 5.5 in decreasing order.\nAnswer: 5.5, 0.01, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0505 or 5103?\nAnswer: 5103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -84112 divided by -42056\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 397468.\nAnswer: -397456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let y(v) = -3*v - 1. Let s(l) = -4*k(l) - y(l). Let i be s(15). Let x be ((-3)\/i)\/((-20)\/40). Is -2\/15 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:15 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:20 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 58. Let g(y) = y - 29. Let b(n) = 11*g(n) - 6*u(n). Let q be b(28). What is the highest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Let f = 96.02 - 95.92. Suppose 3*i = -i + 20. What is the closest to j in f, i, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/9512 and 9\/583016?\nAnswer: 23903656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 21*g**5\/10 + 25*g**4\/6 + 6*g**2 + 1. What is the second derivative of m(h) wrt h?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*r**2 - 33*a**2*r*t + 2*a*r**2*t - 258*a*r**2 wrt a.\nAnswer: -12*r**2 - 66*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 21. Let q = 0 - 2. Let m = q - -1.9. Which is the third smallest value? (a) 0.3 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -1, 228, 24, -5, 2, 1 in ascending order.\nAnswer: -5, -1, 1, 2, 24, 103, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*n**6 - 7*n**5 + 601*n**2 wrt n?\nAnswer: -1440*n**3 - 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 13*o**2 + 28*o + 58. What is p(15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2)\/2*1. Suppose 0 = -z*r + 13 - 3. Let c = 8003 + -8002. Solve -a + 6*a + 23 = b, -r*b = -a - c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 5*n, 12 = -n + 5*n - 5*g. Let v = 19 + n. Let z = 34 - v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Suppose 3*z = -w*i + 30, z - 5*i - 4 = -24. Solve 3*o = -z*l + 12, 5*o - l - 2*l - 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose m*f = 2*z + 10, -37 = -5*f + 2*z - 6. Let n(i) = 5*i**3 - 2*i**2 + 1. Calculate the remainder when f is divided by n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 26\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -18, 0.147, 10\/11, 0.3?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 1 - 1)*(-25*a + 13*a + 9*a) + 2*a**3 + a - a.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432.366um to nanometers.\nAnswer: 432366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 3*z**3 - 18*z**3 + 0*z**3 - 2*z**3.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t + 0*t)*(-18 + 4*t + 18).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96592, -96526, -96414, -96256, -96052?\n\"Answer: 23*f**2 - 3*f - 96612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -284 + 854\/3. Which is the nearest to 2? (a) y (b) 2\/5 (c) 4\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*b + 160*b = 330*b - 2457 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 23d2e?\nAnswer: -23d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*p - 30, 5*p + 9 = 18*a - 22*a. Sort a, -3, 27 in ascending order.\nAnswer: -3, a, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 20. Suppose 3*i + 2*b - 6 = -3*b, -i = c*b - 2. Solve v - 2 = -i*k - v, v = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2830*q**2 - 2531*q**2 - 1425*q**2.\nAnswer: -6786*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2301 + 15 = 12*c. Suppose 0 = -6*x - 193 + c. Is x smaller than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*j + 25, j + 20 = w - 3*j. Suppose w = -8*h + h + 63. Is 1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/7 - 2\/7. Let f(w) be the second derivative of w**4\/6 - 2*w**3\/3 + 3*w**2\/2 + 5*w. Is f(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*s + 347 - 690 + 343.\nAnswer: 238*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/495 and -41\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let c be ((-15)\/(-6) - 2)*-10. Let a(g) be the third derivative of 7*g**4\/24 + g**3\/6 + 2*g**2. Determine c*q(d) - 2*a(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 275, -1, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -1460, -2190?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253 - -78. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q - 1. Suppose 2*n - 12 = -3*n - 3*t, -t + 4 = -n. Let z be k(n). Which is the biggest value? (a) -69 (b) z (c) 1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 8*h**2 + 15*h - 7. Let f(b) = b**3 - b**2 + b - 1. Let i(s) = 3*f(s) - y(s). Let o be i(12). What is the units digit of 27\/o - 5\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -1\/30*v**5 + 1\/16*v**4 + 3\/2*v**2 + 0*v + 1\/12*v**3 + 3. Let b(k) be the second derivative of q(k). Factor b(i).\nAnswer: -(i - 1)*(4*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 3*o + 11*o + 3*o**2 - 23*o. Calculate the lowest common multiple of z(-3) and 136\/16 + (-1)\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 - 2*p + 25. Give h(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142460973.\nAnswer: 7, 53, 163, 68501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 0. Let j = -6 + t. Is (6\/j)\/(3\/60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 1 + 0 + sqrt(11) + 1 - sqrt(77)\/(sqrt(28)\/sqrt(4)*1)).\nAnswer: -6*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 3*x - 2*x)*(3*x - 2*x - 2*x) + 4*x**2 - 5*x**2 - 9*x**2)*(x**2 - x**2 - 4*x**2).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f. Let v be s(-1). Let y(w) = 0 - 2*w + v. Let j(t) = -50*t + 8. Let l(h) = 17*h - 3. Let m(r) = -3*j(r) - 8*l(r). What is m(y(c))?\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70253 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -22, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*x - 2*h, 3*x - 3*h - 63 = -15. Let w(r) = r**3 - 3*r**2 - 11*r + 10. Let o be w(5). Suppose -x = -o*u - 4. Solve -3*q = -u*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g - 37*g**4 - 136*g**2 + 3*g + 249*g**2 wrt g.\nAnswer: -888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -210.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640 - -655. Let r(c) = 2*c**2 - 18*c - 26. Is 14 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.57 - 0.07. Let t = -2440 - -2439.9. What is the third biggest value in a, -0.03, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.6200040294 + -34.62. Round u to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0109599 + -391?\nAnswer: -385.9890401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 1792 - 3*a - 1796 to the form u*a + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Suppose 0*a + 5*a = -10. Let u be 3 - (-4)\/a - k. Solve -3 = s, 4*s = -u*t + 5*t - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:49 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 - 21\/18. Let h = 6 + l. Calculate the smallest common multiple of h and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 173, 153, 125, 89, 45, -7?\n\"Answer: -4*i**2 + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/245 and -58\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 6*u + 48. Let b be q(5). Let v(y) = y + 13. Determine v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaggaaaaaaaaaaa. What is prob of picking 2 g?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 + 7*i - 130)*(65*i + 62*i - 48*i).\nAnswer: 553*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041532 - 7.466.\nAnswer: -7.424468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32117)\/5)\/(233\/(-12815)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1354a?\nAnswer: -13550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443985436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2675262 is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*m + 300 = 137*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g + 7. Let j be h(0). Let k be (-1)\/(-2)*j*40. Suppose -3*o + 113 - 23 = 3*s, -5*o + 5*s = -k. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 12. Suppose -3*w = -4*g - w, 5*g = b*w + 1. What is g rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 38*c**2 + 26*c + 143. List the prime factors of v(-8).\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/17 (b) 23 (c) 3\/8 (d) 33 (e) -0.1 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/2 (b) 3\/2 (c) 4 (d) -5 (e) -13.9 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*f - 55 = 0, 4*t + 4*f - 19 = 9. Let l be 14\/3 - t\/(-30). Suppose l*d + 3*y - 9 = -3, 0 = 3*d + 2*y - 3. Is 2 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 - 3 - v - 3. Let w be l(-8). Let k = 35\/3 + -11. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*l - 25 = -117, -5*a - l + 36 = 0. Let g be 78 + 1 + 1 - -1. Put 5, -5, g, a in ascending order.\nAnswer: -5, a, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*a**2 + a**3 - 101*a**2 + 57*a**2)*(5 - 6 - 1).\nAnswer: -2*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 135 - 313 = 0. Let c = 24 - 8. What is the greatest common factor of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(300) - (-1*sqrt(114) + sqrt(114) - sqrt(114))\/sqrt(6)) + 5 + (-2*sqrt(76))**2.\nAnswer: 6*sqrt(19)\/5 + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(6)\/sqrt(3)) + sqrt(17)*-1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1 - 236\/240). Suppose -z + 3*z = f. Solve -4*w = 3*p - 5 + 31, 4*w + 5*p = -z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - 32\/14. Let y be 0\/(3\/12*4) - -6. Let j = y + v. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 17883.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3 + 3)*(-787 - 869 + 1580) + 90 + 7*i - 90.\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 137, 288, 445, 608, 777?\n\"Answer: 3*k**2 + 142*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 157269 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 z(m) = -m**3 + 27*m**2 + 47*m - 57. Is z(25) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-6 + 7 + -30).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) + -5*(2 + sqrt(272))))**2.\nAnswer: 400*sqrt(17) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132429 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -14. Let u = 2.27 - -157.73. Let h = u + -156. Put h, a, 5, -4 in increasing order.\nAnswer: -4, a, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(5 - (-20)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300764483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 387.59 - 387.571441. Round l to 4 dps.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -32*n + 2350180. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 57*v**4 + 33*v**3 + 9*v - 33. Let o(m) = 7*m**4 + 4*m**3 + m - 4. Let a(t) = -4*h(t) + 33*o(t). Find the second derivative of a(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 6, f: 7}. What is prob of picking 1 l, 1 f, and 2 w?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 1aba6?\nAnswer: -1abb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1102227, 0.3, 2\/5 in descending order.\nAnswer: 1102227, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 11*t + 430. Let a = 9 - t. Let s = 189 - a. What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1360840654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 - 29367*z\/5 - 29366\/5.\nAnswer: -(z + 1)*(z + 29366)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Work out 1215043 - 2.38275253.\nAnswer: 1215040.61724747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 46 = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.472911 to two decimal places.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -35, -3 in descending order.\nAnswer: 22, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 + -296?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-133) + (-180)\/42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043404486 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 692\/109 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30708\/48 + 12\/48. What is the highest common divisor of a and 1760?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17\/6 (b) -4.2 (c) -3\/7 (d) -5 (e) 5 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7172.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017 - -27.\nAnswer: 26.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buccbacoxccubocxuu. Give prob of picking 2 o and 1 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/10)\/(928\/(-2320)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51034, -51031, -51026, -51019, -51010, -50999, -50986?\nAnswer: -50971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18*(1666\/98 + (-87)\/6)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y - 3. Let t(l) = 21*l - 7. Give -5*k(d) + 2*t(d).\nAnswer: -8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 359179 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 28. Let m(l) = -l - 6. Let x(w) = 3*f(w) - 14*m(w). Let h(a) = 395*a**2. Calculate h(x(g)).\nAnswer: 1580*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(136)\/(sqrt(16)\/sqrt(2) + sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -5*r**9\/168 + r**7\/105 - 41*r**5\/15 - 3*r**2. What is the third derivative of n(o) wrt o?\nAnswer: -1800*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6 - 2*i + 2 - 3*i. Let b(g) = -9*g - 7. Suppose 4*r = 3*r. Suppose -c + 2*c + n - 14 = 0, r = 3*n - 9. Determine c*f(o) - 6*b(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-30)\/28 - 579\/386. Let w be 2*(-1)\/8 - 1. What is the third smallest value in -0.8, 2\/5, w, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g**5 - 81179*g**3 - 1806181*g**2 wrt g.\nAnswer: -960*g**2 - 487074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/55 + (-1136)\/6490. Let t be (28\/4 - (-328)\/(-40)) + (-12)\/(-10). Do f and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(75) + sqrt(75)) + (2 + sqrt(75))*1)**2 + (1*(1 + 5*sqrt(75)))**2.\nAnswer: -650*sqrt(3) + 5651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100011010 - 100?\nAnswer: 10010100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1.711, -4, 1\/3.\nAnswer: -4, -1\/7, 1\/3, 1.711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*z - 9*z**3 - 2*z**4 + 247*z + 0*z**4 to the form o*z**2 + k*z + n*z**3 + a + u*z**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05307 rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) 0 (c) 95 (d) -114\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2348948929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*k - 5*z, 2*k - 7*k - 2*z + 14 = 0. Suppose -k*r = -12*r + 32. Let h(s) = -2*s + 3. Determine h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 1. Calculate u(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*h**5 - h**3 - 783*h**2 + 59928*h wrt h.\nAnswer: -1560*h**3 - 6*h - 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.323901 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 40, 104, 204, 346?\n\"Answer: s**3 + 9*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 992.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 921*w - 912*w - 4*w**3 + 5*w**3 + (-2 + 2 + w**3)*(-8 - 1 + 0) to c + f*w + n*w**3 + p*w**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/(-3)*(-12)\/(-20). Let n(p) = -p + 3. Let r be n(g). Let z = 14 - r. Calculate the remainder when 79 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*s + 36559 = 29223 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 + 7*w**4\/24 + 7*w**3\/6 - w**2. Give a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771936129 to the power of 1\/2, to the nearest integer?\nAnswer: 27784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118529 is divided by 57086?\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:41 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muuu when four letters picked without replacement from {u: 16, m: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -10133012123?\nAnswer: -10133012133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ab773 + -d6?\nAnswer: -5ab849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1125*k**4 + k**2 - 34*k wrt k?\nAnswer: 27000*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/3827 and -99\/4.\nAnswer: 15308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 9. Let h = f - 12. Put h, 3\/8, 3\/5 in descending order.\nAnswer: 3\/5, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -83*t**2 + 2*t + 1. Suppose -4*a - 49 = 2*r - 19, -5*r = 2*a + 19. Give j(r).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:20 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from onnvvonnvvno?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 5*s**2 - 6. Let d be y(-6). Let q be 2\/3 + 212\/159. Suppose q = -4*b + d. Solve b*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 373, 741, 1109, 1477?\n\"Answer: 368*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 43*v = 42*v - 2, 5*b - 3*v = -14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bd - -8c?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.3, -4, 24, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 7*l + 11*l + 5 + 4 in the form d*l + i and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10483, -0.1, 2\/9, 5, -4?\nAnswer: 10483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose -2*k - x*k = 0. Suppose -4*a + 3*c = -0*a - 10, 2*a + 5*c = -8. Solve 3*i + 2 + a = k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 350, 2847, 9626, 22829, 44598, 77075?\n\"Answer: 357*h**3 - h**2 + h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-15)*-5*252\/(-225).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91108971 + -3?\nAnswer: 91108969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(2695))\/(((sqrt(539) - sqrt(539)*4) + sqrt(539))*-4).\nAnswer: 15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:39 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15310*u**2 - 10326 wrt u.\nAnswer: -30620*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6440 and 5\/308?\nAnswer: 70840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 1277\/7. Let w(s) = -s**3 + 3*s**2 - 2*s. Let q be w(3). Let i be q\/(-9) + (-8)\/6. Which is the nearest to 0.1? (a) i (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-2685)\/1611).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400 + -380. Let z be 18\/(-4) + (-1)\/2. What is the tens digit of (-256)\/v*z\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -106. What is the units digit of w\/((-455)\/(-360))*(-35)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63864 + 46620733\/730. Find the common denominator of x and -13\/511.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -85162?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:27 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -318 less than -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/169 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2045*m + 3179 = 2104*m + 701 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/4)*((t\/(t**7*t))\/t)\/t)\/((t\/(t**2*t))\/(t*t*t**1)))\/((t**0)**31)**(11\/7) assuming t is positive.\nAnswer: t**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -37.0000078. Round r to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u - 53*u + 36 = 0. Suppose 5*f = 4 + 21. Find the first derivative of -z + f*z - u*z**2 - 3 - 4*z wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 3:40 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(2*b**2 + 4 - 4) + 2*b**2 - b**2 + 9 - 10 in the form i + k*b**2 + v*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 118\/3. Sort y, 2\/11, 4\/3 in decreasing order.\nAnswer: 4\/3, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 4*j**2 + 6*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2. Let s(h) = 257 + 7*h**2 - 257. Give q(s(x)).\nAnswer: 98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and -13\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyccqyyycyi. Give prob of sequence ycyi.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 3*r - 4, 3*g = 3*r + 15. Suppose -4*a + a - g*a = 0. Let k(n) = -n**3 - 3*n**2 - 2*n. Let c be k(-2). Solve -l + 2 + a = c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -471. Let u = 3712\/9 - v. Calculate the common denominator of u and -50\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(204)\/(sqrt(12) + sqrt(1452) + 1*sqrt(1452) + sqrt(1452)))**2 - (-5 + 3 + sqrt(272))**2)*-4.\nAnswer: -64*sqrt(17) + 18784\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 9*n + 14. Let s = 28 + n. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpqquqee. What is prob of picking 1 q, 1 e, and 1 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-2)\/6)*6. Let z be (-1 + p)\/(6\/(-4)). Let t(i) = 26*i - 1. Let a(r) = 5*r. Let u(x) = 11*a(x) - 2*t(x). Calculate u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 4, 97, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364714 to the power of 1\/2, to the nearest integer?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 8 = 2*h, -11 = -5*f + 4*h. Let q(b) be the second derivative of b**4\/12 - b**2\/2 + b. Let a(j) = -3*j**2 - j + 2. Calculate f*a(y) - 2*q(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**11*d)*d)\/(d*d\/(d**(-2)*d)))\/(((d*d*((d\/(d*d*d**(-2\/7)))\/d)\/d*d)\/d*d)\/(d*d**(-9)*d*d)) assuming d is positive.\nAnswer: d**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 6*k**2 + 8*k - 9. Let u be z(7). Let l be (-1)\/u - (-6)\/(-4). Put l, 0, 4 in descending order.\nAnswer: 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -32*((-3702)\/4 + -3) + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3*q + q + q)*(-2*q**2 + 3*q**2 + q**2) as b*q**2 + l + i*q + h*q**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2344485735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -10. Let b be -1 - p - ((-20)\/15 - 3). Is b at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*f - 25, -8 = -2*f - 4. Let s = 6\/1819 + -3680\/12733. What is the nearest to 8 in s, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247116, -988487, -2224114, -3953997, -6178136, -8896531, -12109182?\nAnswer: -15816089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*q + 5*k, -4*q + 33 = 5*k + 7. What is the third derivative of 2*m**q - 2*m**4 - m**5 - m**2 + 4*m**5 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2. Let t(v) = 10*v - 10*v + 12*v. Determine t(y(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 3*f**2 - 787. Let p(r) = -1094*r. Calculate p(o(a)).\nAnswer: -6564*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 817725.44971\nAnswer: -817746.44971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -3)\/(16\/208). Let t(q) = -2*q - 52. What is t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235801.\nAnswer: 37, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u + 5640*u**3 - 78 - 3*u - 5*u + 79 to the form i*u + d + n*u**3 + y*u**2 and give n.\nAnswer: 5640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2021 or -1261?\nAnswer: -1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.149 - -11.851. What is the smallest value in 2\/19, -0.2, m, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -168? (a) 3 (b) -2\/11 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 35*g + 1. Determine s(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:49 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 3*h**2 + 3*h - 12. Calculate g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 107 = 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 206\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15295688347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 73420 = -27*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -1 + 2*sqrt(18) + (-3 + sqrt(2)*-1)**2).\nAnswer: -12*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1457.9323 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + d + 1. Let s be r(3). Suppose -5*p + s + 3 = 0. Solve -4*y + 3*c - p*c = 0, 3 = -3*y - 3*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2071, 2066, 2049, 2014, 1955, 1866, 1741, 1574?\n\"Answer: -i**3 + 2*i + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -589\/5. Let m = -1\/5 + f. What is c in -2\/5*c + m*c**2 - 3\/5*c**4 + 0 + 2\/5*c**3 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**6\/60 - c**5\/30 + 2*c**2 - 3. Let f(b) be the second derivative of p(b). Factor f(m).\nAnswer: -2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146287797 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 168*v**2 - 181896*v\/7 - 2617472\/7.\nAnswer: -2*(v + 16)*(v + 286)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(0 + 4 - 3)*(j - 3 + 3)*(235 - 240 + 213)*(3*j + 2*j - 4*j).\nAnswer: 416*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 23*o**3\/2 - 27*o**2.\nAnswer: o**2*(o + 2)*(2*o - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11424543 (base 6) to base 2.\nAnswer: 1011000001110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -453221, -906421, -1359599, -1812755?\n\"Answer: 11*l**2 - 453233*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19277 - 19230 - (126 + 0).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 9*z - 1. Suppose -3*o - x + 3 - 13 = 0, 3*x = -4*o - 10. Let s be 1 + ((-12)\/o - 13). Let g be w(s). What is the closest to -2 in 0.5, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjovyjoyvuj. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from aaxrawwa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1063 and -586?\nAnswer: 584.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(945\/14)*1*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30848 at most -30903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -23604339529?\nAnswer: 23604339529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44891026 to the power of 1\/2, to the nearest integer?\nAnswer: 6700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12101012 (base 3) to base 6\nAnswer: -30052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 12, 4*c + u - 14 - 7 = 0. Let p = c - 4. Let a be -2 + 1 - 2*-2. Solve 2*x - 4 = -p*w + w, -a*x + 4 = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1941.\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8580 + -145816\/17. Suppose 139*n + 83*n - 796 = 23*n. Is k != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 12*l - 28. Calculate h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19901?\nAnswer: 7, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202546 and 32.\nAnswer: 3240736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*q + 36, k - 29 = 3*q + 3*k. Let o = q - -13. Suppose -3*p = 6, o*i - i - 3*p = 171. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012025334 rounded to six dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -6*g + 10*s - 2*s, -5*g + 17*s = 15*s - 45 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 greater than or equal to 1213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581294, 1160255, 1739216, 2318177, 2897138, 3476099?\nAnswer: 4055060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101100 - -1100011000?\nAnswer: 101100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-1)*(-7714)\/(-304). Calculate the highest common divisor of t and 406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1415 - -2116. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from epxek?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2950 + -1490. What are the prime factors of j?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-10) + 417\/6. Let p = i + -71. Let b(t) = -t + 8 + 2 + 7 + p*t. Determine b(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417442268 to the nearest integer?\nAnswer: 20431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5608 is divided by 873?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 88, 69, 42, 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 601\/9. Suppose -6*x - 29*x + 0*x = 0. What is the biggest value in x, j, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 3*c - 11. Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from xzmzzxxxmz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(-2 + 4). Let w be 6 + y + (-34)\/6. Are -3 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 32*f**2 + 18*f + 1152.\nAnswer: -(f - 6)*(f + 6)*(f + 64)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 + 14*t + 28. Let q be g(6). Suppose 17 = -5*y - 3, q*y - 29 = -3*f. Solve f = -13*k + 10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 119. What is the least common multiple of v and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1824)\/513 - (2 + -4 + 0).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j - 19. Suppose 2*g = j*g. Suppose 5*c - 60 = 4*z, 2*c = 14*z - 18*z - 4. Solve t + t + c = g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ixiixrixiriiiiixxiii?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5601836 to the nearest integer?\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2\/5)*h)**(-26)\/(h**(1\/2)\/h)**4 assuming h is positive.\nAnswer: h**(-328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - 2*d + 3. Let s be m(-7). Suppose 12 = -4*l, 4*r - s = r + 5*l. Solve -4*p - r = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyhuhww. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*v + 72554499 = 6337518. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -55*t + 1. Let b be c(-1). Find the common denominator of b\/9 + (1 - 5) and (-14)\/(-22) - -1 - 0.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 10111010111100?\nAnswer: 10111010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 0*i + 15*i - 140 - 449. Let x be y(65). Suppose -n = -6*n + 45. Sort 1\/10, x, n in decreasing order.\nAnswer: n, 1\/10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/1041 + 1031\/5205. Which is the closest to -9? (a) n (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-280)\/(-16)))\/((-4)\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -0.2. Let j = 1.2 + t. Let k = -96.7 + 97. What is the closest to k in -1, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 94 - (4 + -2 - (3 - -1)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 20*y**2 - 2*y - 1. Let a be u(-1). Suppose 3 = -t + a. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -263, -536, -811, -1088, -1367?\n\"Answer: -d**2 - 270*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t**3 + t**2 + 0 + 1\/90*t**5 + 0*t - 1\/36*t**4. Factor b(i).\nAnswer: 2*i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 8) in base 9?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/4 and ((-68)\/544)\/(647\/164).\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/2)\/(5\/(-10)). Let q be 4\/(-3)*(-3)\/2. Suppose 49 = -2*x - f*p + 610, 0 = x + q*p - 283. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269108 != 269107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217c18 (base 13) to base 2.\nAnswer: -11000000100001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -667\/9 - -7723\/90. Suppose -65 + 8 = -3*f. Find the common denominator of 71\/(-8) - f\/38 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 212120?\nAnswer: 212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -4)*(71 + -77)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184029372*i + 190248059 wrt i.\nAnswer: 184029372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + -101 + (-64 - -85).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -59, -13, 3, 0 in increasing order.\nAnswer: -59, -18, -13, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z**3 + 10*z**2 - 23*z + 12. Let i be n(7). What is i rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5932 - 0.535. What is g rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 16111364*s + 16111363.\nAnswer: (s + 1)*(s + 16111363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/5, 0.1, 12\/307, 2468.\nAnswer: -3\/5, 12\/307, 0.1, 0.4, 2468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:31 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100922355?\nAnswer: 3, 5, 211, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1. Let r(x) = -4*x**2 + 2. Give 4*c(i) + 2*r(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2704\/169)\/(32\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17645 - -17654. Suppose -o + 4*z + 4 - 2 = 0, 0 = -4*o - 2*z + 26. What is the nearest to -0.1 in w, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128025269 to the power of 1\/2, to the nearest integer?\nAnswer: 11315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Suppose 4*n - 2*n = 50. Let h = -23 + n. Solve 2*r - 4*s + 22 = 0, 8 + h = 2*r + z*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*g = 36, 7*g + 51 = d + 2*g. Let o(f) = -2*f**3 + 12*f**2 - 2*f + 2. Let p be o(6). Let h = p - -34. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5\/3 + 284*z**4\/3 + 2780*z**3\/3 - 3068*z**2\/3 = 0. Calculate z.\nAnswer: -59, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, 107, 552, 997?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*g*v**2 + d*g*v - 17*d*g - 5*d*v**2 + 39*d*v wrt g.\nAnswer: 3*d*v**2 + d*v - 17*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1147671*i**2 - 23759*i + 7.\nAnswer: 2295342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/37 + -3085\/592. What is the common denominator of y and -67\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64944 is divided by 209?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176312 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5 - 23*v**4 + 110*v**3 + 392*v**2 - 1632*v + 1152 = 0.\nAnswer: -4, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b - 5*w, 5*b + 2*w = -11 - 10. Let x(g) = 1188*g - 12. Let q be x(2). Calculate the remainder when q\/20 - 4\/b is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2332, -16882, -56380, -133300, -260116, -449302, -713332, -1064680?\nAnswer: -1515820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-8)*(-2 - 2). Suppose 16 = 3*h + 2*l, h + 2 = 4*l - 16. Suppose -h*r + 4*r - 28 = -a, f*r - 61 = -2*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19117 less than 3176?\nAnswer: -15941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 102905 - 29759. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 42 = -18*d. Suppose d*q = -16*q + 11700. What is q rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5371773989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 - 1\/20*b**5 - 186*b**2 + 0*b**3 + 0*b - 9\/2*b**4. Find o such that y(o) = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -2*v, -3*g + 10 = 3*v - 2. Suppose -4*u + 4*h + 9 + 15 = v, -24 = -4*u + 3*h. Sort 4, 0, u in ascending order.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2 - 25886560*p - 167528497158400 = 0.\nAnswer: -12943280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1133536 or 1133535?\nAnswer: 1133536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-325)\/(-104)) - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*n + 4*m, n = -m - 2*m + 12. Suppose 0 = 4*x - x + n. Let o be x\/(-3)*12\/56. Sort 1, 0.3, o.\nAnswer: o, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 4*r**2 + 24*r + 2. Let o(b) = -2*b**3 + 5*b**2 - 49*b - 5. Let q(a) = -13*c(a) - 6*o(a). Let v be (-88)\/(-4) + -1*1. Is q(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 20*x + 14. Let c be m(-10). Let p be 1 + c + -3 - 2. Solve 6 - 4 - 8*w + p*w**3 - 4*w**4 - 2*w**3 + 2 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -5\/4, 0.1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i - 19. Let d be w(-3). Solve 2*p - 28 = 4*o, 0*p - d*p = -o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.69 take away -0.0774315?\nAnswer: 3.7674315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/6 + 157\/78. Let n = -1 - -2. Let w = -1 + 5. What is the closest to n in w, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 5. Suppose 0 = -4*n + 3 + s. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6478876 from 28531.\nAnswer: -6450345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/5))\/s**(2\/7))\/(s**(-3)*((s*s\/s**(-2))\/s)\/s*s)*(s**7\/s**2)**(31\/3) assuming s is positive.\nAnswer: s**(5563\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:20 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*c, -6*d + 5*d + 2*c = -6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 2220111102220?\nAnswer: 2220111110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248\/139797 - 2\/317. Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1350 (base 9) to base 13.\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y + 1. Let l be (2\/(-8))\/((-2)\/8). Let z be d(l). Let f = 40 + z. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 bigger than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 2*s + 4*s - 4*s + 2*s - 2*s.\nAnswer: -2*s + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + (-11 - -17) + 0 + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**6 + 500*w**5 + w**4 + 2*w**2 - 5*w - 200.\nAnswer: -480*w**3 + 30000*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v + 10. Suppose -f = -v*f + 3*l + 28, -f = -2*l - 12. Solve 5*t + h + 4*h + 5 = 0, f*t + h + 16 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 29, 85, 181, 323?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0*y**3 - 3*y + 0 + 0*y**2 - 1\/60*y**5 - 1\/36*y**4. Factor i(m).\nAnswer: -m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 25.\nAnswer: -26\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let o = -423 - -425. Suppose j + 2 = 2*w, o*j + 0*w - f*w + 5 = 0. Round j to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/30 + 4*q**5\/5 - 17*q**4\/6 - 20*q**3 + 1881*q**2. Solve y(r) = 0 for r.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:17 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-84)\/(-30))\/7)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32356714 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966834639 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.3. Let o = -3.031 - 0.969. What is the smallest value in 0, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -27*t + 6893. Let b be l(107). Calculate the highest common divisor of b and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4988304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3935915 to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/4509 and 1\/30.\nAnswer: 45090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**2 + 5. Let v(q) = -20 + 115*q + 20 - 118*q. Calculate v(i(l)).\nAnswer: -39*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3415571 is divided by 868.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g - 4*z + 12, 0 = 3*g - 5*z - 9. Let a be (-2)\/g*15\/(-5). Solve 4*s + a*s**2 + 2 + 3*s**2 - 3*s**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((17 - (0 + 5)) + -11)*1\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 97. Solve 2*m - 7*l + 10*l = f, -l + 11 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 4498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 30*i + 39. Let y = i - 37. Suppose -4*u - 138 = 2*d - 4*d, -4*u + 114 = y*d. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 54 = 3*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 1) + (-149 - -143) + -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*s + 3764, 22 = -4*s + 6. Let n = 7537\/8 - x. Calculate the common denominator of n and 59\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - -1*sqrt(136))\/sqrt(8))**2 - sqrt(119)\/(sqrt(7)*-4 + sqrt(7))) + 4.\nAnswer: sqrt(17)\/3 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*h + 37, 2*p = -h - 0 - 13. Let t be h\/30 + 0\/(2 + 0). Put 8\/3, -0.5, t, 4 in ascending order.\nAnswer: -0.5, t, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3 + 66995*w**2 - 1939150*w + 6685000 = 0.\nAnswer: 4, 25, 13370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2230, 2531, 2832?\n\"Answer: 301*r + 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7980849286.\nAnswer: 2, 53, 75291031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/7, 5.99, 0.1, -17, -3, 3 in decreasing order.\nAnswer: 5.99, 3, 9\/7, 0.1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tthhhhttttttthhthhh.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Let q = f - -22. What is the least common multiple of 10 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4\/5 (c) -2320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 0.4049?\nAnswer: 25.5087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*6\/(-27)*-3. Suppose 0 = 2*k - q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 898*t - 898*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14948 - 1276?\nAnswer: -16224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14028 is divided by 738.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1\/4, -3\/248, -2\/29 in descending order.\nAnswer: 1\/4, -3\/248, -2\/29, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 85 = -2*c, 0 = -16*q + 17*q - 4*c + 39. Suppose 0 = -4*d - 3*v + 7, -3*v = -2*d + 2*v - 29. Sort q, 0, d in descending order.\nAnswer: 0, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 181539.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -168, -163, -148, -117, -64, 17, 132?\n\"Answer: h**3 - h**2 + h - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 13*i - 14. Let x = 36 + -25. Is m(x) 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 -1\/2, 0.5, 0, -1\/3, -22241?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*p**2 + 201*p**2 - 2*p**3)*((-3 - 3 + 4)*(1 + 3 - 2) - 1 + 0 + 3 + (0 + 5 + 0 + 3 - 2 + 0 + (5 - 3 + 0)*(3 + 0 - 1))*(1 + 0 + 2)).\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 5*f + 2*f - 4*f. Give h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -22*i + 14. Let c(z) = 7*z - 5. Give -17*c(k) - 6*y(k).\nAnswer: 13*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 51 = -33*k. Solve -k*w + 3*i - 2 = -7*w, -5*i + 8 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (21 - (-4 + -43 + 44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let x = 2889.9 + -2890. Which is the smallest value? (a) x (b) -0.13 (c) l (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (73 + -17 - 76)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108321974?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*u - 2*h, 0*h = u + 5*h - 14. Let v = u + 4. Suppose m + v*m - 88 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1694940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - b**2 + b - 1. Let f be o(2). Find the common denominator of ((-20)\/6)\/((-268)\/1407) and -2 - f\/(-20)*18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 25 = -4*n + 279, 3*n - 2*a - 185 = 0. Suppose -n*j + 160 = -55*j. Solve -4*s + j = -4*w, -5*s + 25 = 6*w - w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from {t: 5, c: 1, a: 4, f: 3, z: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -122, -48, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 32\/(-10))\/(88\/(-110)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a**3 - 11*a**2 + 3*a - 18. Does 18 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 - 2*l**2 + l. Suppose 3 = h - 1. Let m be y(h). Solve -n + m*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023821311 to 7 dps.\nAnswer: -0.0002382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**3 + 15*i**2 - 5*i - 14. Let a(y) = 9*y**3 + 29*y**2 - 9*y - 27. Let n(v) = 6*a(v) - 11*t(v). What is n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135163)\/((-1)\/(-4 + (-1 - -6))). Let j = w - 85866. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = -5*c - b, -4*b - 24 = -4*c. Suppose 3*n - 20 = c*n. List the prime factors of (n - -2)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.5, 3\/8, -5, 0.5, -0.11, -107\/38?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*g + 27. Suppose 3 - g = -9*o. Suppose 24 = 5*h - o*h. Solve 4*j + h = 0, 0*j + 16 = 4*i - 4*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6503, -13016, -19529, -26042?\n\"Answer: -6513*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(20) + -2.\nAnswer: -2 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 3aa95124?\nAnswer: -3aa95121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/5 - 242*c**2\/5 - 108104*c\/5 - 215232\/5 = 0. Calculate c.\nAnswer: -228, -2, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.09763 millimeters in kilometers?\nAnswer: 0.00002209763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g - 28. Let u be (6\/(-5))\/(g\/(-35)). Calculate the remainder when 55 is divided by 2 - (7 + u + -21).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 85*q**2 - 3*q + 4. Let l(h) = -170*h**2 + 7*h - 9. What is 6*l(t) + 14*x(t)?\nAnswer: 170*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*p = -7582*p + 701379 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 18*i + 507. What is the remainder when 193 is divided by i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10*i**29 assuming i is positive.\nAnswer: i**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 + 51*t**4 - 114*t**3.\nAnswer: 3*t**3*(t - 2)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/7085 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5630142)\/(-189) + (2\/(-2))\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15*k + 66. Let v be z(5). Sort 0, v, 3.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)\/f)\/(f\/(f*f*f**1)))\/(f**(-1))**3 assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*3*-3)\/(5*sqrt(72)))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a - 22. Suppose 5*g - 4*k + 6*k - 127 = 0, -3*g + 4*k + 71 = 0. What is the units digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 6\/(-8))*284\/213. Sort 3, b, -42, 1\/12 in descending order.\nAnswer: 3, b, 1\/12, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218923 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-176)\/24 + -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:47 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*a = -322*a + 435*a - 181056 for a.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 44, -7*s - 7*k + 9*k = -85. Let m(y) = y**2 + 4*y + 4. What is the remainder when m(-6) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5*8\/80)\/1. Which is the nearest to 18? (a) 0.03 (b) t (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - 100101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5331, 152 in descending order.\nAnswer: 152, -0.2, -5331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 2) + 2 + -3. Suppose -a*g - g + 60 = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c + 1 - 2*c + c**3 + c - 2*c + 2*c. Let b(m) = m**3 + 7*m + 1. Suppose 5*g = g + 24. Calculate g*b(k) - 5*t(k).\nAnswer: k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {a: 2, v: 2, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(612) + 2 + -1 - sqrt(612))*3*-5)**2.\nAnswer: 129600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from iihiiiiiiiiiiiiiiii.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 28.5. Which is the closest to -1? (a) j (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -5*sqrt(2448)*-2)**2.\nAnswer: -480*sqrt(17) + 244804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 10*j + 3. Let p(v) = 9*v**2 - 21*v + 6. Let h(s) = -3*p(s) + 7*r(s). Let u be (-6 + 4)\/2 + -69. Let o = 76 + u. Determine h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1147409 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(396) + (sqrt(396) + 0 - sqrt(396)) + sqrt(396))*-6 - (6*sqrt(220) - sqrt(55))\/(5*-2*sqrt(5)))**2.\nAnswer: 51845651\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/9 + 1036*h**2\/9 - 112064*h\/3 + 2140912.\nAnswer: 4*(h - 102)**2*(h + 463)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + q = -3, -8665*h + q + 8 = -8661*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20*(-1)\/2)\/(-2). What is the units digit of 82\/4 + v\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 + 3 = 0. Let w(k) = -6*k**3 - 4*k**2 + 2*k + 7. Let g(n) = -n**3 - n + 1. Let i(v) = r*g(v) - w(v). Calculate i(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 1031621 - 1031311 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -215*u**2. Let r(g) = g. Give c(r(l)).\nAnswer: -215*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6435112 years?\nAnswer: 7.7221344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 292*u + 3. Let t(x) = -1. Let s(j) = -h(j) - 4*t(j). Let b(w) = -w**3 - 2*w**2 + 5*w + 5. Let a be b(-3). Is s(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 4 - (-6 + -19 - -7)\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:52 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + sqrt(2299) + sqrt(2299) + 0 + sqrt(2299))**2 - sqrt(2299))*-4 + sqrt(2299)*-1*-4.\nAnswer: -147136 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18943 and 209?\nAnswer: 208373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001200076641 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -19 + 24. Suppose -340 = -n*d - 3*c + 26, -5*c - 62 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -4405.03, 1\/4, 1\/2 in descending order.\nAnswer: 1\/2, 1\/4, 2\/15, -4405.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/294 and -103\/20.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 0.01652.\nAnswer: 4.01652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 609*o + 3046. Let l be f(-5). Which is the closest to 0.1? (a) 1\/7 (b) -19 (c) l (d) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128\/901 or 0?\nAnswer: -128\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30775 - -68b?\nAnswer: -300a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -4*j + 23\/12*j**4 + 0 + 2\/7*j**8 + 0*j**3 + 0*j**7 + 0*j**5 + 0*j**6 + 0*j**2. What is the third derivative of u(x) wrt x?\nAnswer: 1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510196 (base 11) to base 5.\nAnswer: 202220442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 29*w**2 - 81*w + 538. Determine u(31).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*111\/((-14319)\/(-3010))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -15. Let l = r + -15. Do l and -4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 167*b**2 + 446*b + 74474. Give n(-167).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-10 - -9 - (9 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, 28, 79, 172?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1771 + -1772. Suppose -4*z = -7 - 5. Suppose u + 8 = -z*u. Sort 2, p, u in increasing order.\nAnswer: u, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 7 = -5, 23 = 4*i - 5*o. Suppose -2*c = -4*c - i*j + 18, 5*c = -4*j + 40. Solve -3*g - c = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647851281.\nAnswer: 1647851281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818764.\nAnswer: 2, 3, 13, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - f**2. Let p(i) = -8*i**3 - 2*i**2. Suppose 6*v = v. Suppose v = -r - 0*r - 5. Let q(m) = r*l(m) + 2*p(m). What is q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/5 - 1134*d**2\/5 - 5712*d\/5 - 4576\/5 = 0.\nAnswer: -4, -1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1, v = -2*a - v + 26. Find the common denominator of (-45)\/18*a\/(-40) and -43\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 2205\/(-63))*21*1*-1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9408 and 9256656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f**5 + 209*f**4 + 15*f**3 - 809445*f**2?\nAnswer: -360*f**2 + 5016*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhk when three letters picked without replacement from {r: 1, b: 4, m: 1, k: 2, h: 4, j: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 268341.6ms in minutes?\nAnswer: 4.47236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.839 - 0.261. Is c at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = 0, 5*m + 20*s - 77 = 24*s. Solve 5*j + 15 = -5*a, -m*a + 16*a + j = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6082 + 0.0218. Let n = z - 2.33. Which is greater: 32 or n?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-5)*(-134)\/(-5). Let j = -96 + q. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-4)\/(-168)*4)*4. Let g = 259 + j. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11287532 and 2051.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n - 19. Let w be x(0). Which is the nearest to w? (a) -2 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + k**2 - k - 6. Let p be f(0). Let x be -10*4*p\/30. Solve x + 10 = 3*g - 3*i, 5*i + 14 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 40*k + 98*k**2 - 4*k**4 + 39 + 140\/3*k**3. Determine x, given that a(x) = 0.\nAnswer: -1, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47274.6 and -73369.\nAnswer: -26094.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-11)\/220*12. Solve 2*g - 1 = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/((-4)\/(-5)))\/1. Suppose 2*h - 4*h - s = 0, k*h - 3*s - 22 = 0. Find the third derivative of -2*n**4 + 2*n**2 - h*n**4 + 2*n**4 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*h**3*s - h**3 - h**2*s + 5*h**2 + 2*h*s - 5909*h + 2*s wrt s.\nAnswer: -63*h**3 - h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -26, -41, -58, -77?\n\"Answer: -l**2 - 10*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/5 of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {z: 3, g: 6, h: 1, v: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-20)*d)\/d*d**(6\/7))**21 assuming d is positive.\nAnswer: d**(-402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 476 - 475.5. Let q = -2.075 - 0.025. Let t = q + 2.1. Which is the closest to -2\/13? (a) t (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4854?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x - 4843 = -4*c, -x - 2423 = -2*c. Is c - (0\/(-1))\/(-3 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1.5. Let t = s + 1. Which is the closest to t? (a) 0.2 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 24*m = 20. Suppose 0 = -7*z + 47 - 19. Suppose -z*p + 368 = 2*j + 30, -j = m*p - 161. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-40 - -20)) + (-14 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + j = -3*j + 85, -j = -5. Suppose -3*c + 4*w - i = 2*c, -3*w + 3 = 3*c. Let f = -100412 + 2409889\/24. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8278 rounded to the nearest 100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*k + 21, -6*b = 5*k - 8*b - 34 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*n + 3*n + 25, 4*n = 5*h + 25. What is the third biggest value in -0.3, 10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 39. Let n = 3 - 8. Let p = 4175\/13 + -321. Which is the third biggest value? (a) i (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.9. Let c be (-6)\/(-4)*(2 - (-776)\/(-210)). Let k = -15\/7 - c. What is the nearest to -3 in k, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*f + 7*f. Suppose 3*p = -0*p - 3*y - 15, -f*y - 10 = -5*p. Is -3\/13 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2080 or -2000?\nAnswer: -2080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 5*n + 4. Let y be r(5). Suppose -x + 672321 = y*u + 212321, -2*x = -5*u - 920000. Round x to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 10*u - 3. Let f be p(7). Let a = f + -8. Let n = a + 122. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -63, -97, -145, -207, -283, -373?\n\"Answer: -7*p**2 + p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -10. Calculate the remainder when 43 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 383 + -386. What is the third biggest value in -0.3, 1\/12, 1\/6, c, 2\/11?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 - 4*l**3 - 7*l**3 + 6*l - l**2 + 14*l**3 - 2 - l**4 as h + f*l**4 + n*l**3 + m*l**2 + t*l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 1, t: 2, w: 1, p: 3, c: 2}. Give prob of picking 1 p and 2 k.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 11*w - 18. Suppose -75*a = -3*k - 71*a + 11, -5*k = 8*a - 77. Calculate t(k).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -1323?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 110. Calculate the smallest common multiple of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 10*k - 7. Calculate the remainder when 3 is divided by z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 75*s + 6375. Determine u(-85).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - c. Let j(m) = -m**2 - 3*m + 4. Let o be j(-3). Let z be (-1)\/(-2)*8\/o. What is the units digit of f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:49 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082607.\nAnswer: 11, 71, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31287185 - 0.0129.\nAnswer: 31287184.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (9 + (-3 - -3) - (7 + -19 - -18))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**3\/2 + 15*x**2 - 27*x\/2 - 135 = 0.\nAnswer: -10, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2499556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399763 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 6*a + 6. Let u(l) = 4*l**2 + 13*l - 40. Let h be u(3). Let k(w) = -30*w**2 - 35*w - 35. Determine h*b(z) + 6*k(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 13*l**2 - 5*l**2 to k*l**2 + y + g*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/8 - 17*c**3\/3 - 3*c**2 - 3*c - 27. Calculate j(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 282 + -274. Let z(w) = -w**3 - w**2 + w - 2. Let m be z(-2). Suppose -3*b + l*b - 105 = m. Calculate the remainder when 82 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/24 + l**3 - 3*l**2\/2 + 7*l. Let h(f) be the first derivative of i(f). What is the derivative of h(v) wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8) - 36\/(-16) - 3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2877192 or -2877188?\nAnswer: -2877188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43178, 86331, 129486, 172643, 215802, 258963, 302126?\nAnswer: 345291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 = 2, -3*v - 5*b = -24180. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-12))\/((-6)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 54*o - 675. Let x be w(-72). Which is the smallest value? (a) -0.4 (b) x (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -28. Let g be (-1)\/(-4) - (-598)\/f. Let x = 75 - 45. Calculate the highest common factor of x and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983 + 1304 = 39*q - 521. Solve -52 = 4*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - (-7 - 40 - (-3 + 5))) + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = 3*r. Let v(y) = 2*y + 131 - 19 - 65 + 0*y. Let w be v(-23). What is the highest common factor of r and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3 + 4*d**2 - 4*d**3 - 194*d + 189*d + 3*d**2 + 3*d**3. Determine q(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13439 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)\/(f**(-2\/11)\/f) assuming f is positive.\nAnswer: f**(71\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 965 + -3881\/4. What is the common denominator of f and -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 35*a + 6. Let r(b) = -12*b**2. Determine s(r(f)).\nAnswer: -420*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1096313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*d + s, -2*d + 2*s = -5*d + 37. Let m be (1 + -27)*62\/(-124). Suppose 0 = -m*g + 7*g + 30. Solve -16 - d = -g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 225*f - 1170.\nAnswer: -5*(f - 39)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 11. Let y be j(-8). Let g be (-4)\/14 - (-16679)\/91. Suppose -15 = -3*v, -40 = -y*z - 2*v + g. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-4 + 2 + 1)*(-654*t + 509*t - 1677*t) to the form y + r*t and give r.\nAnswer: -1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/1872*(-10089)\/570 + 1\/6.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/12 + s**3\/3 + 12*s. What is r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + 0 + sqrt(931)*-2 + (2*sqrt(931) + 2 - sqrt(931)))*-3)**2.\nAnswer: 378*sqrt(19) + 8461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.89016 millilitres?\nAnswer: 0.00189016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)*q**0)\/(q\/(q*q\/(q\/(q*q**(-1\/13))))*q**(3\/5)) assuming q is positive.\nAnswer: q**(31\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-78)\/(-5) - ((-27)\/5 - -5). Suppose -x*m + 25*m - 27 = 0. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 3, a: 5}. What is prob of picking 1 a and 1 m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87.05 from -0.8.\nAnswer: -87.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 12*k + 43. Is b(8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.7, 2\/5, 0, -1\/399, -2\/23, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/20 - 19\/(-4). Suppose -c = 11*x - 12*x. Let q(s) = s. Let k(o) = 3*o + 4. Let p(z) = k(z) - 4*q(z). What is p(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - -2005?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 75\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**8\/1344 - a**7\/168 - a**6\/72 + 8*a**4\/3 + 22*a. Let l(g) be the third derivative of d(g). Factor l(x).\nAnswer: -5*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 574, 1221, 1938, 2725?\n\"Answer: 35*v**2 + 542*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-6) - 460\/138)\/((-2)\/(-4)). Let v(c) = -31*c - 5. Let w(l) = 31*l + 6. Determine i*w(o) - 6*v(o).\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooob when four letters picked without replacement from {o: 11, b: 2, k: 7}?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) -1 (c) -4\/3 (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 351?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4501 + 4497. Which is the closest to u? (a) 2 (b) -2 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -587*t - 597*t + 1227*t + 2064 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -267, -656, -1207, -1914, -2771, -3772, -4911?\n\"Answer: a**3 - 90*a**2 + 42*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136, -274, -412, -550, -688?\n\"Answer: -138*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 0.04, -2656, -4 in decreasing order.\nAnswer: 4, 0.04, 0, -4, -2656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-14)*l\/((l*l*l**10)\/l)*(l**(-10))**(-2\/7) assuming l is positive.\nAnswer: l**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 10*y**2 + 6*y. Let r be c(-7). Calculate the greatest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -64*y - 7557. Let f = 231 + y. Suppose 26 + 10 = 3*s. Solve 0 = -f*g + g - 2*w + 5, 0 = 3*w - s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4 and 89\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**7\/21 + 56*y**6\/45 - 7*y**5\/6 - y**4 - 24*y + 4. Suppose j(o) = 0. What is o?\nAnswer: -1\/3, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 546 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 527*b**3.\nAnswer: 527*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1873 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8428 and 196.\nAnswer: 8428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2286 and 1918081.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.3. Let u = -0.4 - k. Let m(d) = 2*d - 3. Let j be m(3). Which is the second smallest value? (a) j (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 29*h**4\/24 + 2*h**3\/3 + 7*h**2 + 3. Suppose 10 = 5*f - 0. What are the prime factors of k(f)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 8, 8, 6, 2, -4, -12?\n\"Answer: -w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*o**3\/2 + 2562*o**2 - 4311*o\/2 + 459.\nAnswer: -3*(o - 34)*(7*o - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let v = -3 + 7. Suppose 0 = -5*s - 3*w + 25, 26 = -2*s + 5*s + v*w. What is the remainder when s is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207.68801 and -0.31.\nAnswer: 64.3832831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3888) - (sqrt(3888) + 3*sqrt(3888)))\/(sqrt(196) + (sqrt(196) + (sqrt(196)*3 - sqrt(196)) - sqrt(196))).\nAnswer: -90*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -11.57022 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4\/((q\/((q\/q**(-14))\/q*q))\/q)*(q\/q**(-7))\/q*q**5 assuming q is positive.\nAnswer: q**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/2 of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: e9 (base 15) to base 2\nAnswer: 11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47655 - 4?\nAnswer: -47659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 143915\/(-9064) + 4. Let d = v - -3\/1133. What is the common denominator of -1*1\/(5\/58) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3176 and 65902.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43\/939 + 90\/313. Which is the nearest to 3? (a) -0.2 (b) 0.3 (c) -1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 78 + 771*c + 78 + 700*c - 151*c.\nAnswer: 1289*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 6. Let s be r(-4). Suppose -2*t = s*t + 24. Is (-48)\/(-5) + t\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7683 + -4686. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131 + 39*x + 3*x**2 + 70*x - 5*x**2 + 43*x + 81*x wrt x?\nAnswer: -4*x + 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 11\/7, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-7\/3)*((x\/(x**10\/x))\/x)\/x*(x**2)**0 assuming x is positive.\nAnswer: x**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-51)\/357*-539.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46141.\nAnswer: 46141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from nncccnnccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) + (1*sqrt(104) - sqrt(104)) + sqrt(104))))*2)\/(sqrt(8) + sqrt(896)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/(p**(-7\/2)*p))*p)*p*p)\/p)\/p**(2\/27)*(p**(-2))**13 assuming p is positive.\nAnswer: p**(-1165\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 1.8 (c) 2\/5 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 + 9*u + 7. Let o(b) = b**3 + b**2 + 8*b + 6. Determine 6*i(f) - 7*o(f).\nAnswer: -f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -685 + 234 - 118*t + 239*t - 112*t. What is x(50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 41 = 1112*v - 1115*v + 3*b - 14, -v - 227*b + 895 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 34*k - 114. Calculate a(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 7642*y - 15289*y + 7648*y + 7 = -c, 13 = -5*c - y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -46*x**3 - x - 1. Let s be v(-1). Suppose -g = -6*w + 2*w + s, 0 = w + 4*g - 20. What is the least common multiple of w and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76115 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, j: 3, m: 1, t: 2}. What is prob of sequence mkjj?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/(-1 + -1). Let j = a - -2. Let k be -2 + (2 - j) - -4. What is the greatest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53 - (-8 + (-90)\/(-10)). Suppose 45*y = t*y + 60*y. Which is smaller: y or -1\/221?\nAnswer: -1\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18319653?\nAnswer: 3, 11, 211, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 56 + 160 + 2*x**3 - 56.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwjvciq. Give prob of picking 1 i and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 712 and 1835 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -13*j**7\/2520 + j**5\/40 + 11*j**4\/12 - 7*j. Let n(a) be the third derivative of g(a). Differentiate n(c) with respect to c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/25542 and 119\/65274.\nAnswer: 587466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -2.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 61 - 59 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(64 + 37 + 39 - 110)*(66 - 30*o**3 - 66).\nAnswer: -900*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 23*l + 74 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/140 + 9\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 155\/(-10))*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*z**3 - 6109628*z**2 + 27399749*z - 1 wrt z?\nAnswer: 30*z - 12219256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000676498808 rounded to seven decimal places?\nAnswer: 0.0000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-21)*3\/(-105))\/(3\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:14 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3294131 * 0.18.\nAnswer: 0.239294358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 3. Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 184741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 9) + 4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-1\/5))*b*b**(-6))**(-12)\/((b**(-2\/7))**(1\/4)*(b**(-1))**(-2\/15)) assuming b is positive.\nAnswer: b**(9563\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162495376.\nAnswer: 2, 10155961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*a*u + 4*a - 70 wrt u.\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2551\/14490 - -13\/70. Let j = 152\/1449 - k. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175526.\nAnswer: 2, 13, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107480539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138751266 to the nearest integer?\nAnswer: 11779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.05 (b) 7 (c) -3 (d) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.62837 weeks to milliseconds.\nAnswer: 26991238176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {x: 2, d: 1, n: 1, t: 2, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48552 is divided by 23819?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(5*j + 13 - 13).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*k + 14. Sort k, -0.3, -6 in ascending order.\nAnswer: -6, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l**4 - 13*l**4 + 27*l**4)*(2 + 1 - 2)*(82 + 250 - 147)*(-1 - 3 + 3) in the form p*l**2 + x + y*l**3 + h*l**4 + f*l and give h.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 8*q**2 - 10*q - 13. Let o(t) = -2*t**2 + 34*t - 151. Let c be o(8). What is k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 10\/6)*-14*(-7635)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -0.1 (c) 21 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 15*y = -9*y - 191*p + 881, y - 5*p - 12 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/262 + ((-68824500)\/(-11135))\/60?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + f - 2*f)*(-66 - 76*f + 66).\nAnswer: -304*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20992 and 12200192.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 11. Suppose a = -3*y + 15. Put -4, 4, y in decreasing order.\nAnswer: y, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23315 (base 7) to base 14\nAnswer: -227c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 6*q**2 + 7*q - 6. Is r(3) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(168\/(-6))*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 + 2*n**2 - 5*n - 3. Let d(q) be the second derivative of q**5\/5 - q**4\/6 + 2*q**3\/3 + q**2 - 17*q. Calculate -3*d(h) - 2*p(h).\nAnswer: -2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.55022 kilometers in nanometers?\nAnswer: 49550220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.9*-4.\nAnswer: -255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/d)**28*(d*d**(-1))**17)**(-9\/5) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -15, 96*o - 97*o = -4*m + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 - 3*y - 2. Let d be h(3). Let m = 1 + d. What is the smallest common multiple of m + -11*(-2 + 1) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let n be 3\/a*210\/9. Round n to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 133*g + 133*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/99 and -45\/3773.\nAnswer: 33957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -23*l + 48. Suppose t = -l*u - 3 + 25, -4*u - t = -28. Calculate the smallest common multiple of 27 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -59223*u**2 + 1066025*u - 23. Calculate n(18).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*((p\/(p\/((p\/(p**(-1\/3)*p))\/p)))\/p)\/p)))**(8\/3))**(-17) assuming p is positive.\nAnswer: p**(680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 55 + 25 + 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -632, -611, -582, -545?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4929 + -5.55. Round g to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 - 1501*l**5*o**2 - 963*l**2 - l*o**2 wrt l?\nAnswer: -240*l**3 - 90060*l**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 14) to base 2\nAnswer: -1001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -201010012?\nAnswer: -201002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588852 divided by -16357.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e9a4204 + -1?\nAnswer: e9a4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 931763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325533)\/114894 + (-302)\/12?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -404?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:25 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1015 and 6090?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15696 + 15694. What is the fourth biggest value in -0.1, 147, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 389*h - 3476. Let c be x(9). Solve m + 5*u = -c, 2*m - 14*u + 13*u = 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1277945 divided by -5.\nAnswer: -255589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -1\/3*j**3 + 5 - 1\/2*j**2 - j. Calculate x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4550881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*n + 107*n + 11*n as d + m*n and give m.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 1\/13 (b) -732 (c) -7\/8 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 14*g**2 + g + 6. Calculate h(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 3*o**2 - 2*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5 + p**2 + 5*p + 3*p - 2. Let m be v(-8). Suppose -m*x = -x - 8. Solve 13 = x*t + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 4*q**3 + q**3)*(78 - 78 - 5*q**2) + (1 + 2*q**3 - 1)*(3*q**2 - 4*q**2 + 3*q**2) + q**5 - q**5 - q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**6\/60 - w**5\/60 - w**2\/2 - 2. Let f(c) be the second derivative of x(c). Find the third derivative of f(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3082 is divided by 194?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2027429404 rounded to five decimal places?\nAnswer: -0.20274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + (sqrt(2448) + -2)**2 + sqrt(2448) - (sqrt(17) - ((sqrt(2448) + 0)**2 + sqrt(2448))).\nAnswer: -13*sqrt(17) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.907 + -1.58. Let c = w - 0.38. Round c to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -306.73672 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1 + 2052*w - 1 - 2048*w. Let v(s) = s + 4*s + 6*s. What is d(v(f))?\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*g**3 - 3*b*g**2 - 2*b*g + 281*g**3 - 3*g + 24 wrt g?\nAnswer: 6*b*g - 6*b + 1686*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -2, 5, -24, 15, 0 in ascending order.\nAnswer: -24, -6, -3, -2, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*f + 89, -4*f = -3*x + 2*x - 52. Let t be 5\/2*8\/x*-2. Solve 4*v - k = 4, -5*k + t = v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/30 - 71*m**4\/24 + 12*m**3 + m**2 + 1230. Factor a(u).\nAnswer: (u - 9)*(u - 1)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-10) + (-45)\/(-75). Let m = w + -7. Suppose 0 = -4*f - 3 - 1. Put f, m, 0 in ascending order.\nAnswer: m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11837 + 11833. Let q = -0.1 - -0.1. Let x = 141 - 702\/5. What is the closest to q in -1\/5, n, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 - 3*g**2)*(-7*g**2 + 0*g**2 - 13*g**2)*(7*g - g + 3*g).\nAnswer: 360*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o - 1. Let h(z) = -9*z**3 + 3*z + 4. Suppose 0 - 3 = -3*d, -5*x - 3*d - 2 = 0. Determine x*h(p) - 3*f(p).\nAnswer: 6*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l**4 - 6*l - 10. Let p(y) = 35*y**4 + 13*y + 21. Let u(n) = 13*a(n) + 6*p(n). Differentiate u(r) wrt r.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 1. Let z(h) = 5*h**2 + 4*h + 43. Let c(w) = 6*v(w) - z(w). Let d be c(-8). Let r = -63 + d. Sort -1, 6, r in ascending order.\nAnswer: r, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 - 5\/10*-14. Let v be (24\/(-60))\/((w\/(-5))\/(-2)). Let n = 3 - 3.05. Which is the third smallest value? (a) v (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -86503*j - 1211049. Calculate i(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1618848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 1788, 2694, 3608, 4530?\nAnswer: 5460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.38. Let d = -0.26 + 5.76. Let i = -5 + d. Sort k, i, -5.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -2 + 832\/(-224). Which is the nearest to -2\/9? (a) -15 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j. Suppose j = 3*k, 2*k = -3*r - 3*k + 6. Suppose 5*y + 27 = -3*g, -r*y + 2 = -5*g - 12. Put 4, 0.2, y in increasing order.\nAnswer: y, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6030 + -5548. What is the remainder when u is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*y = -65 + 8, 3*y + 15*y - 3 = 19*y for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7))**(-6\/23) assuming v is positive.\nAnswer: v**(-54\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 145 = 3*b, -3*b + 115 = -j - 0*j. Suppose -4*t = -0*t - b. Calculate the remainder when 565\/30 + (-2)\/(-12) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.17 (b) 0.3 (c) 13 (d) 3\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/8 - 2\/(-8). Let a = 1735 - 1735. Which is bigger: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*t = -80, 4*t - 60475 = 2*l - 60443 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 200968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-55))\/((-21)\/35).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40268055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 15. Suppose -m*b = 1 - 21. Suppose b*h + 3*q + 0*q - 68 = 0, h + 5*q - 18 = 0. Calculate the remainder when 51 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -69*d**6\/2 - 28*d**3 + d**2 - 220. Find the third derivative of i(u) wrt u.\nAnswer: -12420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 802325, 802338, 802363, 802406, 802473, 802570, 802703?\nAnswer: 802878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9142097 or -9142092?\nAnswer: -9142097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 16 + 63 - 4 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rssr when four letters picked without replacement from rsssrssssss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8044 (base 9) in base 11?\nAnswer: -4459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 1.4. Let x = 0.8 - -0.2. Let i = x - l. Is 3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 - -299. Let h be t\/(-14) - 1122\/(-385). Find q such that -43\/5*q**3 - 56\/5*q - 11\/5*q**4 - h - 73\/5*q**2 - 1\/5*q**5 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 28*b**2 - 206*b - 7247. Give l(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 3070*z - 608540. Calculate s(213).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187777 is divided by 7564?\nAnswer: 6241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 17134196?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20244)\/(-35) - 4) + (-6)\/15. Suppose -5*w + 1370 = 5*q, -3*w = -5*q + 788 + h. What are the prime factors of q?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11060107 is divided by 1251.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 8*b + 1056. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1147, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3693152, -3693134, -3693110, -3693080, -3693044, -3693002, -3692954?\n\"Answer: 3*i**2 + 9*i - 3693164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.53.\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = 2*x - 176. Let b(h) = -h**3 + 7*h**2 + 8*h + 6. Give b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.3. Let z = 1522\/7 + -9139\/42. Let d(i) = i**2 + 5*i - 1. Let r be d(-5). Which is the nearest to 0? (a) g (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 40*g = -30. Sort 4, g, 36 in ascending order.\nAnswer: 4, g, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 40 - 5 = 3*p, -4*p = -5*j - 54. Solve 18 = p*z - 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(272) - sqrt(272) - sqrt(272))*-1 - sqrt(1088)*-2*-2)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 1, 20 in decreasing order.\nAnswer: 103, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25948.0000037386 + -25948. Round i to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1270 and -97\/5949188.\nAnswer: 29745940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1661922 by 4362.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 57647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 373 + -374. Which is smaller: a or -9\/41?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 4, -3, 1692.\nAnswer: -4, -3, 0, 1, 4, 1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/9 and ((-3)\/37455)\/((-14)\/2730).\nAnswer: 22473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 483066 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.23 + 0.77. Let q = -448.77 + 549.8. Let t = q + -101. Are t and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -618.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - -9672181.\nAnswer: 9672194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 510*f + 196*f - 903031 + 903031. Let l(m) = m**2. Determine o(l(y)).\nAnswer: 706*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/((-4)\/(-2) + 1). Suppose 0 = -g*t + 203 + 1239. List the prime factors of t.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539627.\nAnswer: 7, 13, 97, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58795065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453486, 453483, 453480, 453477, 453474?\nAnswer: 453471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425953230 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8423551 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5 + 50*b**4 + 78*b**3 - 2538*b**2 - 11124*b - 12960 = 0.\nAnswer: -3, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 + 144. Let u be (-15 + 50\/15)*(-12)\/p. Solve 0 = u*b - 23 + 73 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8897 - -8898. What is the fifth biggest value in n, 1\/8, 6, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 165370*f**3 + 0 - 164742*f**3)*(-3*f + 0 - 1 + 3) to t*f**3 + u + g*f + x*f**4 + j*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 3*c. Let p(f) be the third derivative of 20*f**2 + 1\/12*f**4 + 0 + 0*f + 0*f**3. What is p(l(w))?\nAnswer: -2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.2110859 to zero dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = u - 1400. What is the lowest common multiple of u and 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)*10*4. Let o = -9 + b. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(7920) + sqrt(7920) + -2*sqrt(7920)))\/((sqrt(110) + sqrt(110)*1*-4)\/((sqrt(250) + sqrt(10))*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 13. Suppose -g + 0*g + 2 = 0. Suppose -g*v + c = -4*h, 5*v = -h + 2*h + 25. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 - 1834\/91)\/(1\/(-4)). Determine y, given that -z*y + 6\/13 + 2\/13*y**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 5*g**4 - 3*g**4)*(3 - 1 - 1)*(-4 - 1 + 6).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (101 - 104 - (0 - -10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 22*k + 67. Let f be n(-18). Put -3, f, -4, -1 in decreasing order.\nAnswer: -1, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323107383?\nAnswer: 13, 37, 2750743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16a7a56 (base 11) to base 9\nAnswer: -5402006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -7*p**5\/2 + 261*p**4\/2 + 1683*p**3\/2 - 12241*p**2\/2 - 4938*p + 1890 = 0?\nAnswer: -9, -1, 2\/7, 5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 1 + s**2 - 4*s - 6. Let a(g) = 2*g**2 + 8*g + 13. Suppose -21*b - 54 = -15*b - 15*b. Calculate b*a(m) + 11*v(m).\nAnswer: m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 306083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128813 rounded to four dps?\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236400 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79.5872 years?\nAnswer: 7.95872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223120 to the power of 1\/2, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.6, 0.07, 0.05, -4 in descending order.\nAnswer: 0.6, 0.07, 0.05, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22264*j + 22264*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 265750b - 1?\nAnswer: 265750a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 120. Let u be 0*6\/f - 5*-1. Let m(l) be the first derivative of l**3\/3 - l**2 - 6*l - 3. Give m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m. Let i be p(-2). Let w = i + -4. Suppose -5*z - 5*c = -20, z + 4*c - w = -z. What is the remainder when 12 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 8. Let m be l(-6). What is the third smallest value in -5, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a. Let n(g) be the second derivative of g**4\/12 + 46*g. Calculate n(s(c)).\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 234 in -7\/2, 2\/23, 0, 1\/5, -2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -49*h**3 + 56*h**2 - 56. Let s(q) = q**3 - q**2 + 1. Determine -3*b(k) - 168*s(k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(153)*-2*-1 - sqrt(153)))\/((sqrt(9) - sqrt(81)*2) + sqrt(9)*2*6).\nAnswer: -30*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/5)*q)**30)**(-1\/24)*(q**(1\/2)*q**6)**(-7\/3) assuming q is positive.\nAnswer: q**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:47 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(14)\/sqrt(2))**2 + (-2*sqrt(112) + sqrt(112) - sqrt(112))**2 + sqrt(112) + 6*sqrt(63) + 0 + -3.\nAnswer: 22*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -16*z + 112. Solve 2*w - 4*p = -8, -4*p + z = 3*w - 2*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-673552)\/(-356)*6\/132.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 339?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174578 is divided by 9788.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f - 12. Let u be -2 + -4 + 1 + -127. Is f\/1 + u\/(-3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 15842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l + 3. Let f be z(-2). Let w = 30 - f. Let m be (2 - (5 - 5))\/(4\/(-6)). Put w, 5, m, 0 in increasing order.\nAnswer: m, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/2)\/((-6)\/8). Let t be 23\/7 + (-4)\/14. Let p be (-4)\/(-18) + (-714)\/(-189). Solve -p*w = -n - t*n, -2*n - l = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - ((sqrt(882) - 2*sqrt(882) - sqrt(882)) + sqrt(882)))\/sqrt(6)*1.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j - j)*(-j**3 + 5*j**2 - 5*j**2) + 5*j + 181*j**4 - 177*j**4 - 2*j.\nAnswer: 3*j**4 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 8 = 0. Suppose -3*x + z*o = -0*x - 71, -2*o + 24 = 2*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 16 = -5*z, -7*u - 14 = z - 10*u. What is the closest to 47 in 2\/19, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.607951 millilitres to litres.\nAnswer: 0.003607951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6515465?\nAnswer: 5, 11, 118463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:05 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 5) in base 13?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.1828?\nAnswer: -0.7312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.49399cm?\nAnswer: 24939.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(132)*-1 + sqrt(132) + sqrt(132))\/sqrt(11) + sqrt(12) + sqrt(12)))**2 + 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 17268*c - 155493.\nAnswer: (c - 9)*(c + 17277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 1. Let g(w) = -189*w**3 - w**2 - 2*w - 1. Let p(f) = -g(f) + o(f). Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z\/z**(-1\/5))*z)\/z)*z)\/z)**2\/((z*z**(-4\/3))\/(z*z**(-14)\/z)) assuming z is positive.\nAnswer: z**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 160, 246, 334?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2237 - -747. List the prime factors of q.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0\/2 + -1. Let i(r) = -6*r + 15. Let m be i(n). Factor 9*y**2 - 3*y**4 - 9 - m*y**3 + 15*y + 5 + 10.\nAnswer: -3*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397638718 + -397638720.03999897. Let k = 2.04 + n. What is k rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 26 + 121. Suppose -4*t = -z - 35. Let b(x) = -2*x - 3. Let o be b(-3). Calculate the highest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48702326 is divided by 1316279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -7*t**2\/2 - 4. Let x(p) = 3*p**2. Determine m(x(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (25 - 2) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 5*a + 1. Calculate w(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let i(g) = -33*g - 44. Let w(r) = -i(r) + 44*t(r). Let p(b) = -4*b. Give w(p(k)).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11873, -23745, -35617, -47489, -59361?\n\"Answer: -11872*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 3, -23687, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (702\/65)\/((-4)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 1\/2 (c) -3 (d) 22119 (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 37, 77, 133, 205?\n\"Answer: 8*h**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -206*v + 1980*v**2 - 1995*v**3 - 3 + 3 - 199*v - 425*v**3.\nAnswer: -5*v*(22*v - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 6*s - 45. List the prime factors of (-6599)\/s + 28\/280.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/44 + 3)\/(11034\/396 - 28)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, -3, 166\/5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1596, -1666, -1736, -1806, -1876?\nAnswer: -1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let u = 8243 - 8240. Put -1\/4, u, v, -4 in increasing order.\nAnswer: -4, -1\/4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 6 + -5 + 14 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -143, -16, -1, 0 in decreasing order.\nAnswer: 0, -1, -4, -16, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*t - 18, 0 = -2*r + 21*t - 26*t - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + w - 3. Let s be m(5). Let v(d) = 6*d**2 + 67*d + 1. Let x(u) = 14*u**2 + 168*u + 2. Let p(h) = 5*v(h) - 2*x(h). What is p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2016212918 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 3464*r + 2999824 = 0.\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:58 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3880 and 93\/776?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 3. Let t be k(3). Suppose 3*j + t*j + 24 = 0. What is the units digit of -2 + 7\/((-7)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 94. Which is the closest to -1? (a) -19 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 2, i: 4, q: 4, e: 1, l: 1}. Give prob of sequence dl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555644596?\nAnswer: 2, 13, 10685473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 17*x**3 - 9*x**3 - 40*x**3 + (x - 1 + 1)*(-4*x**2 - 2*x**2 + 3*x**2) to the form g + j*x**2 + p*x**3 + n*x and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-78)\/9)\/((-6)\/9). Let z be 2\/h + 2\/(-13). Solve -2*y - 4 = -z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(15*x + 2*x**2 - 15*x) - 14*x**2 + 17*x**2 - 89*x**2.\nAnswer: -92*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 162*a - 1143. Let u be m(7). Let c(p) be the third derivative of p**6\/120 + p**5\/5 + 5*p**4\/12 - 4*p**3\/3 - p**2. What is the units digit of c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 0.2 (c) -25 (d) -2092\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2577 and 2230823.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + k + 0)*(-4*k + 3*k + 3*k)*(-3 + 4 + 2) to d + p*k**2 + v*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*u + 5962, 3*h - u = 3197 + 5758. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11020001002 (base 3) to base 12.\nAnswer: -4013b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -9\/5, -1\/6?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {p: 4, r: 2, a: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 42\/9)\/12?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13715349221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2410230 (base 5) to base 6\nAnswer: -541424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-40)\/16*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 417212.\nAnswer: -25032.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/7 - 0)*42\/(-12). Suppose 5*o + 4*m = b, -8*m + 5*m - 3 = 2*o. Find the third derivative of -5*w**2 + 9*w - o*w**3 - w - 8*w wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l + 1. Let k(t) = -t**3 + 17*t**2 - t + 10. Let c(h) = 6*i(h) - k(h). Let p be c(12). Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55262593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 1:35 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*z**2 + 56*z**2 + 50*z**2 + 191*z**2)*(-2 + 0 - 3) in the form w*z + c*z**2 + r and give c.\nAnswer: -1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 0*p**3 + 4*p**2 - 11 - 9 + 17. Let x(b) be the second derivative of -b**5\/20 - b**4\/3 - b**3\/3 + b**2\/2 - 4*b. Let g be x(-2). Calculate k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i**3 + i**2 + 2*i + 1. Suppose 0 = -2*x + 5*r + 13, x + x + 14 = -4*r. What are the prime factors of z(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + 79*h**2 - 505*h - 6. Let o be y(11). Suppose -2*v + 30 = 5*a, 4*a = v + 31 - 7. Solve -4*n + 2 = a, o*n = -3*t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 * -0.01\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 - -7 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + b)*(0 - 2*b**2 + 0)*(1 + 8 + 1).\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 394.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*x - 2*x = 154232, 5*x = -2*w + 77080. Is 125 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39072, 78456, 117840?\n\"Answer: 39384*x - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 9 + 27 = -4*z, 2*z - 5*a = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 0.4, -1\/5, 4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r - 74*r + 30 = 0. What is the greatest common divisor of r and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5052.92938 - -4324.929003. Let u = 727.9575 + 0.0425. Let y = o + u. Round y to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(-270*f + 92*f + 73*f).\nAnswer: 420*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**3 + 13*f**2 - 13*f**2.\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k. Let g be (0 + (-6)\/15)*25\/(-10). Let t(v) = -7*v**2 - 15*v + 14. Let m(a) = g*t(a) + 5*o(a). Let b be m(-6). Solve -b = -2*d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(-22))\/(2\/(-984)). Let a be 8\/7 - (6 + h\/(-42)). Which is greater: a or -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f = -192. Suppose 5*s + 23 = f. Solve -13 = -s*x + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -32948614385?\nAnswer: 32948614384.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*k + 7. Let w = 36 + -32. Let x(f) = -f**2 - 17*f - 38. Let a be x(-14). Solve j + w*d + 1 = 3, k = 2*j - a*d - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002511198 rounded to 7 decimal places?\nAnswer: 0.0002511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:28 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 3 - (-5)\/1. Suppose 4*a - 3*a = b. Solve 0 = -3*h + a*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 3*d = -48, 1390070 - 1390038 = 3*k + 2*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -918 - -918. Solve n = 4*g + 3*w + 11, 2 + 15 = -g + 4*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 75*z**5 + 4*z**3 + 18*z**2 + 306*z - 2 wrt z.\nAnswer: 240*z**3 + 4500*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1609.43+-9.51052763\nAnswer: 1599.91947237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m - 11. Let o be c(7). Let j(l) = 4*l**2 + 5. Let t(x) = -3*x**2 - 4. Give o*j(i) - 5*t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - (-80)\/279. Let c(y) = -32 + 5*y + 0*y - 6*y - 3*y. Let r be c(-8). Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -24. Suppose 0 = 3*u + 6*b - 2*b - d, 0 = 5*u + 4*b - 25. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 320008507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 306 = -179*f - 141*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121665161*y**4 - 317*y**2 + 150016*y wrt y?\nAnswer: 2919963864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7225?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/43, 0.61, 0.2, -6?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -22. Let u = r + 5. Let v be (-3 - u)*1 - -2. Solve -b + v*b - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 448 = -3*z. Suppose -2*a = 3*s - 113, 3*a - 4*s + z = 7*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -101620.\nAnswer: -101620.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1)*(-2)\/(-3). Suppose 135 = i + h*i. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ccccjacccacjjacj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-12)*8\/(-20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545 = 101*v + 254 - 517 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(19) + 4 + (sqrt(76) - sqrt(76)*-2)**2 + -1 + sqrt(2299).\nAnswer: 12*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/960 - w**5\/80 + w**4\/16 - w**3 + 6*w + 112. Let x(t) be the third derivative of a(t). Suppose x(q) = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -81*s - 8. Let a(h) = -172*h - 19. Calculate 6*a(j) - 13*v(j).\nAnswer: 21*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27359636 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4) + -4*1\/1. Which is the biggest value? (a) 40 (b) -0.06 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:10 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189318617609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/3 bigger than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48636 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t + t + 143*t - 10*t + 0*t + (t - 5*t + 2*t)*(4 + 0 - 3))*(2*t + t - 5*t).\nAnswer: -266*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/206 - 2413\/309. Find the common denominator of ((-808)\/96)\/(10\/4) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a day in hours?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 0, -3*c + 19 = 25*h - 23*h. Suppose h*m + 432 = -4*m. Suppose -l + 19 = 67. Is m bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25 + (-3)\/(-3))*114\/4. Let r = f + -9634\/13. Which is the smallest value? (a) r (b) -11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7906 is divided by 1107.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800271*z**2 + 11*z + 800285*z**2 - 11*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l**2 + 4*l**2)*(20*l**2 - 317 + 14*l**2 + 14*l**2 - 55*l**2).\nAnswer: -14*l**4 - 634*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - 1 - (-35 + 25 - 54)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 5) to base 14.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*r - 919. Let z be -12*(r\/24)\/(-7). What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in 1, -3, -0.01, 65, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239807 to the power of 1\/2, to the nearest integer?\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p + p - 131 = 104. Solve 2*b - p*x - 15 = 0, -4*b + 10 = -b - 5*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + m**3 - m**3 - m**4 + 4*m**2 - 4*m**2 + (-5 - 2*m + 5)*(2*m**2 - 2*m**2 + 2*m**3) - m**3 + m**3 + 2*m**4 + 6*m**4 - 4*m**4 - 35*m**4.\nAnswer: -39*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -422bc1 + 0?\nAnswer: -422bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1841 - 1221. Suppose -5*w = -29 + 4. Suppose -k + w*k = r. Is k 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 1852415?\nAnswer: 5, 370483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oew when three letters picked without replacement from {p: 1, o: 2, e: 2, u: 1, x: 1, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 9) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f + 278 - 2999 = 145*f + 699 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5628, 5672, 5754, 5880, 6056, 6288?\n\"Answer: d**3 + 13*d**2 - 2*d + 5616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.47797 litres?\nAnswer: 16477.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 380. List the prime factors of x.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -28. What is the common denominator of g and 34\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13794.29 + -13733. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/137949 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3240 and -37\/17550.\nAnswer: 210600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 4*g**3\/3 + 7. Let b(p) = 147*p**2 + 155*p**2 - 446*p**2 + 135*p**2. Calculate w(b(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + 1 + -2. Let j(d) = 4*d**3 + d. Let u be j(1). Suppose -o + 4*v + c = 3*v, -2*v = -u*o + 11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 807 + -792. Solve 4*l = -l - p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442411 + 131?\nAnswer: -442230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -48055 - -48055. Solve -5*u = -4*v + 16, l*v - 8 = -4*u - 2*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -36*y**2 + 4*y - 8. Give x(2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16.7. Let k = h - 0.4. Let u = -46294.5 - -46294. What is the third biggest value in k, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*v + 115*v = -1176. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 935.47 + -964. What is y rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-319)\/(-132) - 1) + (-10)\/8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -3 (b) -0.5 (c) -0.2852\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18227809 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Suppose -62*f + 56*f + 750 = 0. Suppose 5*w + 5*n = f, v*w = n + 31 + 89. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-6)*(-223)\/((-1271100)\/2736).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1639674 times 0.9\nAnswer: 1475706.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 6:33 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*w + 7*w - 4*w)*(2*w - 3*w + 0*w)*(-1 - 1 + 3 + (6 - 2 - 2)*(0 + 4 - 2) - 1 + 1 + 1 + 0 + 3 - 6).\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(9 + 3*r - 9)*(-21*r**3 + 19*r**2 - 19*r**2).\nAnswer: 63*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23226, 46504, 69782, 93060?\nAnswer: 116338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18326 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 2070 (c) 0.5 (d) -21 (e) 0 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 82*p + 0*p**3 - 1\/20*p**5 - 1\/126*p**7 + 1 + 1\/36*p**4 + 0*p**2 + 1\/30*p**6. Suppose r(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -63. Which is the second biggest value? (a) 1 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from hqqqhqhqqqqqqhqqhqh?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 - 23)\/((-3)\/(-2)). Which is smaller: k or -8\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294577797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546 - -541. What is the smallest value in z, 0.5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 11 - 27) + (64 - 55)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 290\/87*-4*6\/(-20) + 6. Solve -q*n - 109 = -139 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2718557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppppppppppspk. Give prob of sequence pks.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28204503637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 greater than 6820\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 23. Let r be i(14). Let z = 12 - r. Solve z*h - 4 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001041 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10018129 to the nearest integer?\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-78) - (-56)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*a + 12 = 0, -21 = -17*c + 14*c - 3*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 312 = 2*h, 4*h - 117 = 3*m - 753. Let t = 170 + h. Solve 4*j + 8 = -t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 39*v = 2150 + 1260. Solve 120*c = v*c + 175 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*x + 3*x**3 + 10*x**3 + 10*x**3 - 111*x - 7*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 50647*n + 40 = 50651*n, -5*g - 5*n - 25 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-23\/5)\/(w\/((w**(1\/11)\/w)\/w)) assuming w is positive.\nAnswer: w**(-413\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 127. Calculate the highest common divisor of q and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w + 4*w - 25*w.\nAnswer: -59*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 4764*i**3 + 2 - 4805*i**3 + 3*i - 3*i.\nAnswer: -41*i**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**3 + 4*i**3 - i**4 - 13*i**3 - 3*i**4 - 2*i**3.\nAnswer: -4*i**3*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88986 = 72*j - 6830 - 806980. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*n - 6, -n = 6*q - q - 6. Suppose q*w - 6 = -0. Solve -w*t = -s - 6*t - 9, 0 = -5*t - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33407682 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/242 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 25 + 21 = 0. What is the third derivative of n**5 - 6*n**5 - 19*n**u - n**5 wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:39 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -35461 and -35460 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*((sqrt(891) - ((sqrt(891) - sqrt(891)*-1)*3 + sqrt(891))) + -3))**2.\nAnswer: 12312*sqrt(11) + 1155097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320426.739 rounded to the nearest one hundred?\nAnswer: 3320400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 761466\/13 <= 58574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 86 = -x, -2*x = -o - 3*o + 112. Let t = o - 26. Suppose -t*n + n + 15 = 0, 3*b = 4*n + 79. Calculate the lowest common multiple of b and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351653 (base 10) to base 14.\nAnswer: 92221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -1\/270*n**5 + 0 + 10\/27*n**3 - 12*n + 3*n**2 + 1\/36*n**4. Find b, given that a(b) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 3*o - 14072, -8420 = -3*r - 4*o. Suppose -9206 = -6*y + r. Let q = -7953\/4 + y. Find the common denominator of -149\/24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 7) in base 2?\nAnswer: 101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5*j**4\/4 - 35*j**3\/3 - 100*j**2 - 220*j - 52. Let i(n) = 0. Calculate n.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6*h + 2*t - 4, 3*t - 6 = -h. Let b be (-64)\/(-2) + h + (-5 - -4). Let z = b - -11. Calculate the remainder when 208 is divided by z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 26*k**2 - 117*k - 165. Give s(-30).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8530100 rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f + f. Let t be (-10)\/(-105) - f\/9. Let d = 182\/3 + -60. Which is the third biggest value? (a) d (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*l + 264 - 4*l - 264 in the form f*l + a and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjfjjjffvfffffl. What is prob of sequence vy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210533526 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d - 3*q, 3*d + 2*q = 6*q - 9. Let g be (-150)\/(-20)*1*4\/d. Let v = g + 20. Let o(y) = -y + 4. Calculate o(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 - 176*t - 1936 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, 4, 0, -0.28, 2\/57?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683300249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 - 167*f - 653. Calculate g(-29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103821407, 207642812, 311464215, 415285616, 519107015?\nAnswer: 622928412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26 - -26) + 2 + -22)\/((-64)\/96).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 191 + -8 + -97 - 41.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417156341 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 90 (b) 19 (c) 0.5 (d) 88\/3 (e) 5 (f) 2 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54370, -108712, -163024, -217312, -271582, -325840, -380092, -434344?\n\"Answer: -c**3 + 21*c**2 - 54398*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - q = -4*n + 80, 2*n + 3*q - 54 = 0. Suppose -523 = -n*u - 82. Solve u*y - 20*y + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 444, 481, 544, 639, 772?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -6*12\/(-9). Suppose 3*f = q*f - 39. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 36 + 116. Let p = -15 + o. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5*r**2 - 5 + (8*r**2 - 4*r**2 + r**2)*(-18 + 9 + 5).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {m: 1, r: 3, s: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)\/s)**7 assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let w be (66\/(-18))\/((-3)\/(-9)). Let d(z) = z**2 + 10*z - 11. Let l be d(w). Which is the smallest value? (a) q (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/2520 - g**4\/8 - 37*g**3\/6 + 19*g**2. Let i(f) be the second derivative of r(f). Let h(m) = 75*m**2. What is h(i(l))?\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 5:12 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100101101111001100 + 1?\nAnswer: -100101100101101111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q - 0. Solve -3*k + 5 = -4*x, 5*k - q*x + 0 = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * 0.5.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 46.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*u + 48 = 0, u - 5*u - 2 = -2*g. What is the third derivative of -3*n**6 + n**2 - g*n**5 + 11*n**5 wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*w = -13, 4*w + 43 - 11 = -4*m. List the prime factors of -27*-2*m\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6096 and 2032.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 24. Let o be j(-20). Is (747\/6)\/((-3)\/o) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 1266*d**3 + 8784*d**2 + 12520*d.\nAnswer: 2*d*(d + 2)*(d + 5)*(d + 626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 15. Let m(o) = 12 - o - k + 0*o. Let w(x) = -5*x**2. What is w(m(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3042046 is divided by 46799?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1509, 1763, 2021, 2283?\n\"Answer: 2*n**2 + 248*n + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -934\/13. What is the third smallest value in 2.4, t, 3, -2\/11?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Suppose x*f - 24 = 6. Let o(v) = v**3 - 31*v**2 - 25*v - 114. Let m be o(32). What is the greatest common factor of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15 = 5*n + 1, -3*n - 9 = a. Suppose -2*r + 6 = r. Suppose -4*g + 2*w - 7*w + 5 = 0, r*g + w - 1 = 0. Sort g, -4, n in ascending order.\nAnswer: -4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/32*((-7866)\/(-161))\/57?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.65 + 2.69. Let g = 0 + 1. Put 2, g, a in increasing order.\nAnswer: a, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 18. Calculate b(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - l - 2*l + (-1 + 2*l + 1)*(-3 + 6 + 4) + 0*l + 3*l - l to w + a*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*s + 4181 = 0, -5*t - 2314 = -14*s - 9213. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxix when four letters picked without replacement from {z: 2, i: 3, o: 1, w: 9, x: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14572\/3 - 4857. Let o = -33 + 65\/2. Which is the fourth biggest value? (a) m (b) -0.4 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 80379*y**2 - 26381814525*y\/7 + 26381251875\/7.\nAnswer: -3*(y - 93775)**2*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 + 2*l + 2. What is w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-24)\/10)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*q + 20 - 56 = 0, 54 = 5*i - 3*q. Suppose -v - 2 + i = 0. What is the second derivative of 0*n**2 + v*n**2 + n + 5*n - n**2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 2, z: 2, s: 1, h: 1, c: 1}. What is prob of picking 1 e and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -519140 or -519148?\nAnswer: -519140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -1 (c) 3 (d) 2.84 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2574.48, 2\/3, -1\/2.\nAnswer: -2574.48, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -783616684211 - 0.\nAnswer: -783616684211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = -16. Let q = z + -106\/3. Let g = 1 + -3. Which is the smallest value? (a) q (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -9\/157 (b) -2 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309631295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 213*v**2 - 79*v - 506. What is the thousands digit of l(105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1376 times 31\nAnswer: -42656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43850755 and 31175.\nAnswer: 6235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19*0.2\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/3371? (a) 0.2 (b) -2 (c) 3 (d) -1\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(69\/(-1518)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/4 + (39\/4)\/(-13). Suppose 2 = 4*o + 10. Put r, o, -3 in descending order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61996, 62175, 62370, 62587, 62832?\n\"Answer: k**3 + 2*k**2 + 166*k + 61827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 0*v - 6*v - 11*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1898\/5 + -380. Suppose -20 = 3*v - 5*n, 4*v - 8 = -0*v - 2*n. Which is the closest to v? (a) -2 (b) g (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*k = -5*k + 11, 3 = k. Suppose 24*n**2 + 48*n**3 - 5*n**4 - 15*n - 33*n**3 + n**t - 20 = 0. Calculate n.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 4*g)*(2*g + 2*g - 6*g) + 286*g**2 - 642*g**2 + 992*g**2 + 4*g**2 - 2*g**2 - g**2.\nAnswer: 635*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4\/13 - 16*u**3\/13 + 5754*u**2\/13 - 76896*u\/13 - 13608 = 0?\nAnswer: -63, -2, 18, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 1352*f - 1352*f - 12*f**3 + (f**3 - 3*f**3 + f**3)*(-f - 2*f + 0*f).\nAnswer: f**4 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7 + 25. Let v(l) = 3*l + 1. Let c(k) = -10*k - 9. Let a(r) = -5*r - 5. Let x(s) = -7*a(s) + 4*c(s). Calculate p*v(y) + 5*x(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 269, 922, 2189, 4274?\nAnswer: 7381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30.08657ug?\nAnswer: 30086.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -20083099.\nAnswer: -20083099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 1}. What is prob of sequence dds?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1557 divided by 173\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdwt when four letters picked without replacement from ddddddnwdndtdndtww?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17007 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqk. What is prob of sequence tqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(21)*1)\/sqrt(3) + sqrt(630)\/(sqrt(10) + sqrt(640)).\nAnswer: 1 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0318 * -3747\nAnswer: 119.1546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*o. Suppose -h - o = -0*h. Which is the closest to 1? (a) h (b) 3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:24 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - ((-6)\/6 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478\/(-14) - (-116598)\/(-136031).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/5 - 6*v**4\/5 + 4*v**3\/5 = 0. Calculate v.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 227880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4 - (-2)\/4. Solve -h = -q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926405 less than 4047071?\nAnswer: 3120666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, e: 2, w: 1, m: 1, k: 2}. Give prob of sequence em.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5\/6 (b) -0.475 (c) 0.4 (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5, -745 = -h - 4*d + 312. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 104760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 6, q: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8080386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 + -369. Let c = 199 + f. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdhxdddhddxddhqh. What is prob of sequence hq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, 1 j, and 1 t when four letters picked without replacement from jkqjvhjtvkhhjhkhvkkh.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.64 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 62. What is the third smallest value in -3, m, 2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.266 and -0.4.\nAnswer: -0.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 greater than or equal to 648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*s - 6, b - 2*b - 8 = 3*s. Let i = -3 - -17. What is the least common multiple of 9*b*(-12)\/(-9) and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 19*y**2 + 18*y - 6. Let o be x(-18). Let m be ((-96)\/9)\/(1*2). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(340\/12))\/(100\/(-125))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/40 and 13\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.37848 - 2?\nAnswer: 35.37848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 7812 = -7872. Solve 3*k + z*i - 25 = -3*i, 5*i - 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/4845 and 139\/1327020.\nAnswer: 25213380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5 - 1\/5*q**2 + 2\/5*q = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1\/84*-6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 10:39 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2163.539 - -0.07077986.\nAnswer: 2163.60977986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g**2 + 582*g - 4125. Give q(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d - 3. Let u be y(-6). Suppose -3*b + 8*b - 25 = -5*l, 5*b + u*l = 19. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*i**3 + 799*i**3 - 1631*i**3 - 39.\nAnswer: -3*i**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302 is divided by 94?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + (-32 - -33).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11320 (base 5) to base 4.\nAnswer: -31003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -3353602?\nAnswer: 3353602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 7*x + 10. Does 14 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -75 and -78 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2386 and 4043881082?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7572 - -7580. Put v, 12, 1 in decreasing order.\nAnswer: 12, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7))**(-2\/7)\/((i**(-20)\/i)\/i**(-13)) assuming i is positive.\nAnswer: i**(384\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:00 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/85? (a) -3 (b) -0.057 (c) -2 (d) 0.2 (e) -834\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19503461.\nAnswer: 113, 172597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 3*r**5\/40 - r**4\/24 + r**3\/2 + 5*r**2. Let y(z) be the first derivative of f(z). Let x be y(1). Solve -q + x = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6432 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/33 - 70\/(-22). Suppose -3 + 6 = p*l. Let t(b) = 2*b + 4*b**2 - 889 + 888 - b**2. What is t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5205 = 3*x + s, 5*x - 2*s + 8674 = 10*x. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -415, -325, -235, -145, -55, 35?\n\"Answer: 90*d - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0 (c) -0.3 (d) -1009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 42 = 2*d + 8, -d - 2*w + 41 = 0. Suppose 162 + 68 = 2*g. Calculate the remainder when g is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 2*x**3 + 3*x**3)*(0 - 2*x + 0) + (2*x - 3 + 3)*(2*x**3 - 3*x**3 + 2*x**3).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1968760 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000002501 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0 + 1\/60*b**6 + 0*b - 1\/12*b**5 - 1\/6*b**4 - 3*b**2 + 1\/2*b**3. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 - 5*t - 2*t - t + 3*t**2 - 3. Let y = 1 - 8. Let i be d(y). Solve -q = 2*f - 3, 0 = i*f - 5*q + 2 - 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 1200552154?\nAnswer: 1200552114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*w + 491, 4*a = -8*w + 13*w + 415. Calculate the greatest common factor of a and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 161.1. Is b smaller than 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 19*o - 360. What is the remainder when 520 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - (-342)\/30. Let k = -3 + g. Calculate the least common multiple of k and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 1300*l**2 - 1293*l**2 - 151 + 69.\nAnswer: 7*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*32\/21*(-35)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.33 - -0.33. Let n be 3\/14*(-4)\/(-6). What is the nearest to -0.1 in a, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/3325 and 31\/760450?\nAnswer: 101139850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1656*d**2 + 832*d**2 + 184*d**3 + 824*d**2.\nAnswer: 184*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 + 172. Solve 0*x + 5*x = -r + 28, x = n*r - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 22\/8. Suppose -4*g = 4*x - 1736, -6 + 14 = 4*g. Suppose 0*j + x = 8*j. What is the third biggest value in i, 5, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -490, 1, -1 in descending order.\nAnswer: 5, 1, -1, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 5, -3, 13, -326 in ascending order.\nAnswer: -326, -54, -3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 90, -19\/4.\nAnswer: -19\/4, -1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:31 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/494077 or 1?\nAnswer: 2\/494077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -5, 5\/22, -2, -0.3 in ascending order.\nAnswer: -5, -4, -2, -0.3, 5\/22, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8845083, -35380303, -79605669, -141521181, -221126839?\n\"Answer: -8845073*x**2 - x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87640 = -8*l + 4*n - 87692, -5*l + n - 31 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 106?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -70 + (13 - 11) + -186 + 180.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 7678768?\nAnswer: 7678768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 3, w: 1, q: 7, z: 1}. Give prob of picking 1 z and 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13639, 27285, 40927, 54565, 68199, 81829, 95455?\nAnswer: 109077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 159*y - 1256. What is z(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-25) + (-65892)\/(-32300). Factor 0 + 2\/3*m**3 + 0*m + 6*m**r.\nAnswer: 2*m**2*(m + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/293 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154, -935, -592, -125, 466, 1181, 2020?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2 - 583*z - 2911. Determine j(-5).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1655*q + 13240. Let u(j) = -2*j + 8. Give 1655*u(r) - z(r).\nAnswer: -1655*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-11)\/6)\/((-5)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524400 - 13*l**2 + 524400.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 5. Let l(x) = x**2 - 2344*x - 21171. Let k be l(-9). Solve -3 = -k*p + n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - 7 - (-5 + (-2 - -8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 6*o**2 + o + 9. What is the remainder when 311 is divided by z(3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-112172)\/(-12))\/(1\/3). Suppose 3*p + 3*q = -0*p + 84138, r = p - 2*q. Let s = p - 248045. What is s rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 6*g + 6. Let r be o(1). Solve -r*l + 18 = 2*w - 4*l, w - 4*l = 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 45 - 40. Suppose -3*q + q + w + 55 = 0, -q - h*w = -55. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 27 + 51. Let g(n) = 5*n + 2. What is g(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -4.7. Let p = 772 - 769. Which is the second biggest value? (a) p (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*q + 196994 = 217*q - 430*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, e: 6}. What is prob of sequence ee?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8\/25 of a millisecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.00006. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000021 (base 3) to base 11.\nAnswer: 60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 4*s**2 + s**2)*(3*s - 2*s - 1 - 2*s).\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + -2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(363)) - sqrt(363) - (-3 + (sqrt(363) - (sqrt(363) - sqrt(363)*2)))**2.\nAnswer: -1465 + 143*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9189 - 2*p**2 + 9189.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*f)*(-3 + 2 + 0) + (-8*f - 13*f - 2*f)*(-2 + 2 + 2).\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 14, j: 4}. What is prob of picking 1 j and 2 k?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2492860 divided by -124643\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/((-2)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Let g(b) = 1 - 35*b + 0 + 78*b - 40*b - b**2 + 0. Calculate g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31941049, -31941045, -31941045, -31941055, -31941081, -31941129, -31941205?\nAnswer: -31941315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 59 + 2*p + 2*p + 131*p**2 as t*p**2 + n + j*p and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*u. Let s = u - -4. Suppose -5*i = -2*k, -2*k = -5*i - s*k + 15. Is i at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14189 = -4*w, 36*w = -2*c + 37*w + 28369. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/3 + 17*m**2\/2 + 2*m. Let p be g(7). Is (-534)\/4*(-4)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15406 (base 9) in base 2?\nAnswer: 10100100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 46 + 7 = 0. Let d = -11 + p. Let z(i) = -10 + i**3 - 8*i + i**2 - i**2 + 6*i**d. Determine z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2395353 or -2395342?\nAnswer: -2395353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 122, 267, 470?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c - 18 = -66*c + i, -c = -4*i - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22308 by -2028.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 + 2*l**2 - l + 1. Let g be 8 + -10 + 8 + -5. What is u(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 6) to base 13\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let c be s\/(2 + 0 - 4). What is the third smallest value in -5, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.55.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3249 + 6*q**2 - 1103 - 1070 - 1076.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 + 0 - 10*p + 6*p. Calculate c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06943 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33951 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 7 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = u. What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -54. Let x = h - -18. Suppose 16 = -4*q, -4*t = -0*t + q - x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -133, -146, -173, -220, -293, -398?\n\"Answer: -m**3 - m**2 - 3*m - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**4 - 496*b**3 - 45*b + 554519 wrt b.\nAnswer: -28*b**3 - 1488*b**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n - 2. Let f be ((-4)\/7)\/(8\/(-28)). Suppose -4*l = -4*g - 29 - 7, f*l + g - 21 = 0. Let o be (-1*l)\/(-5) + -8. Give a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**4 + l**2 - 3*l. Let v(r) = r - 4*r**2 + 0*r**2 + 3*r**2 - r**4. Let c(t) = -p(t) - 3*v(t). Factor c(k).\nAnswer: -2*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4814.\nAnswer: -3\/4814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 4. Let l = -7223 + 7216. Let i(h) be the second derivative of 5*h**3\/6 + 9*h**2\/2 + h. Suppose 7 = -4*g - 5. Give g*i(k) + l*f(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 - 8*s - 7. Let k be z(-4). Let a = 119\/3 + k. Factor -6 - 4*j - a*j**2.\nAnswer: -2*(j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (-4 + 21 - 25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3367 * -0.235.\nAnswer: -791.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/9)\/((-1)\/(-2)). Let r be ((-1)\/6*2)\/3. Let j = r + s. Is j at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose -3*b - 2 = -i*b. What is the units digit of ((-12)\/(-10))\/(b\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 8*g**4 + 5*g**2 - 2*g - 10*g**4 as c*g**4 + y*g**3 + i + s*g + t*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 3*a**4 - a**5 + (2*a**4 - a**4 - 3*a**4)*(-3*a + 2*a + 0*a) + (a**2 - 3*a**4 + a**4 + 2*a**2)*(12*a + 27*a + 16*a).\nAnswer: -109*a**5 + 165*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/24)\/(1\/(-6)). Which is smaller: o or -26\/179?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**25)**(-7)*(g*g**(-6))**(5\/11) assuming g is positive.\nAnswer: g**(-2027\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10192 and 25480?\nAnswer: 50960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/5 (b) -0.4 (c) -2\/15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 3 - 2*s**2 - 9*s + 2*s**2. Let q be c(9). Factor -2\/3*a**2 + 0 - 1\/3*a**q - 1\/3*a.\nAnswer: -a*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 0.5 (c) -52 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2\/(-8)*-183. Let i = a + 673\/6. Let r = -21 + i. Which is smaller: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 37*n - 2. Let r be i(2). Let m(t) = 9*t**3 + 76*t**2 + 55*t - 179. Let j be m(-7). Are j and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 - 389 - 431 - 426 - 9*s**2 + 1676.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 28. Let x = 794.93 + -795. Which is the third biggest value? (a) x (b) -3 (c) i (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 0*q + q + 0*q + q - 3*q + (5 - 5 + 2)*(2*q + 2*q - 6*q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/120 - q**5\/15 - 5*q**4\/24 - q**3\/2 + 6*q**2. What are the prime factors of u(6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + y - 1. Let i(h) = h**2 - 13*h - 4. Let o(p) = -i(p) - 4*s(p). What are the prime factors of o(-6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 13. Calculate the remainder when 86 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/18 - (-10)\/45. Suppose -a + o*a = -3. Which is smaller: 2\/31 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (28 - -27) - -10) + -1 + 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 228613 and 378.\nAnswer: 228991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*n + 20, 5*h + 4*n - 9 = 7. Let s be 5\/(-70)*4 + (-19)\/(-42). Which is the closest to 2\/3? (a) s (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 3*d - 57 = -16*u, -6*u + 7*u - 96*d = 1824 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {b: 2, f: 2, n: 1, o: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 8*a + 10. Let s be k(9). Suppose 20 = 5*l - o, -s = -2*l + 4*o + 7. Suppose -4*z - 15 = -51. Calculate the highest common factor of l and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -1*sqrt(99)) + sqrt(11) + sqrt(704)*-1.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*c - 90*c = 4*h + 27, 4*c = 3*h + 14. Put 3, 4, c, 2 in ascending order.\nAnswer: c, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - -1*sqrt(133)*5)\/(-6*sqrt(63)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 24*s**2 - s\/4 + 24.\nAnswer: (s - 96)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 + -4 - -3 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = 4*r, 8 = p + 10*r - 11*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {p: 2, r: 4, o: 1, a: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - sqrt(2880)*-3))\/sqrt(10) + -4.\nAnswer: -36*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(8) + 2 + sqrt(2).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 637774.69 days in weeks?\nAnswer: 91110.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73b43404 - 3?\nAnswer: -73b43407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -37 (b) -0.4 (c) -0.5 (d) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7902509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 21*s + 15. Let m be i(-4). Let u = m + 169. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 16. Sort l, 7, -3, 0 in descending order.\nAnswer: 7, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:53 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 6\/29, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30721.14 nanometers in centimeters?\nAnswer: 0.003072114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 2. Let q be j(5). Suppose 3*v = 2*y + q + 20, 0 = -4*y + v - 56. Let w = 129 + -140. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -95, -201, -337, -497, -675, -865?\n\"Answer: t**3 - 24*t**2 - 5*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22128810 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -1.571507.\nAnswer: -39.287675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 131017, 130922, 130763, 130540?\n\"Answer: -32*s**2 + s + 131048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14560673*5\nAnswer: 72803365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - p, -3*x = -p - 1 + 9. Let m = -886015\/35644 + 1\/5092. Let r = m - -1552\/63. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a - 12. Let u be h(-4). Let y = u + 97. Let r(k) = -k**2 + 37*k - 12. What is the hundreds digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 38. Let s(l) = 227*l**c - 225*l**2 - 2 + 11*l + 6. Is 11 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3091*p**3 + p + 1423*p**3 - 41*p**3 + 3404*p**3.\nAnswer: 7877*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**6 + 9*o**2 + 1 - 15*o**2 - 1 wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 101 = 3*p. Let k = p + 217. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 34*a + 6*a - a + 9*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**2\/2 + 246. Let h(g) = -g. Suppose 0 = 5*i + 7 - 2, -5*i - 9 = t. Calculate t*b(v) - h(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.5219077 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 8*r = -90. What are the prime factors of 1\/(-6) + (-2343)\/r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26674195481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12132089.55ns in weeks?\nAnswer: 0.000000020059671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 30*x + 175. Calculate the remainder when 1357 is divided by i(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 10, r: 5, s: 1}. What is prob of picking 1 r, 1 t, and 1 v?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.25\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2. Let c(u) = 5*u**2 - 3. Give j(c(g)).\nAnswer: -200*g**4 + 240*g**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(12))**2.\nAnswer: 8*sqrt(3) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8*k - 280 = -360, 4*z + 11 = 3*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4243147 to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-1) - (2 + (-1 - -1)). Suppose 5*c - 60 - 130 = -5*n, -b*n = -c + 35. What is the common denominator of c and -48\/37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62 from 46.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = q - 10, -4*n + 0*q - 12 = -2*q. Let x(d) = -2*d + 1. What is the least common multiple of x(n) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, h: 2, a: 8, s: 2}. Give prob of sequence hhqa.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3678*d**3 - 2 - 3225*d**3.\nAnswer: -6903*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2790\/(-4))\/31 + (-5)\/(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.061, -8, -1, -2\/49, 5, -27 in descending order.\nAnswer: 5, 0.061, -2\/49, -1, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-2 + -1))\/(1\/3). Let a be (-2 + 8)\/(-2) - (l - -14). Calculate the greatest common factor of a and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**5 - 3*m**3 - 6*m + 3. Let q(t) = -3*t**5 + 5*t**3 + 12*t - 5. Let l(v) = -10*k(v) - 6*q(v). Find the second derivative of l(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0*t - 3*t + (-9 + 20 + 15)*(-3 + 3 + t))*(-2*t + 1 - 1) as v*t**2 + i + b*t and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 - 3424*r**2 + 3428*r = 0?\nAnswer: -857, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/8580 and 129\/220.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 16490.\nAnswer: 148410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000747959 rounded to 6 decimal places?\nAnswer: 0.000748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 1}. What is prob of sequence ssms?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252.664 + -0.336. Let y = -253.24 - q. What is the nearest to 2 in -5, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 36?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 3. Let s be n(-3). Let v = s + 3. Factor 2*l**2 + v*l**2 + 2*l - 2*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6 + ((-75)\/24 - -2) + 189\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.13 - 810895751.\nAnswer: -810895743.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197088 is divided by 321.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 179*d**2 - 2346*d + 389880. What is a(180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n + 70. Let w be f(-4). Solve 3*q + w = 4*t, -5 = -q - 5*t + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1069 + 1979. Does 2 divide i\/26 - 0*(2 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -560.00002044 - -560. Round m to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6296*q**2 - 9709*q + 4. Let k(r) = -12606*r**2 + 19418*r - 9. Let z(s) = -4*k(s) - 9*w(s). What is the second derivative of z(l) wrt l?\nAnswer: -12480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 + 115. Suppose -42 = -6*o - 8*o. Suppose 0 = o*k, -2*g = -4*g - 3*k + 10. Which is the biggest value? (a) -12 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18683, -17781, -16879, -15977, -15075?\n\"Answer: 902*v - 19585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.1, 2, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 22*l - 199 - 470. Calculate the remainder when 483*(3 - (-28)\/(-12)) is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q**5 - 126448*q**4 - 4014764*q**3 - 6125144*q**2 - 711888*q + 1524960 = 0. What is q?\nAnswer: -30, -1, 2\/5, 6354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = -4*g + 6*x + 6*x - 9, 14*x - 26 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 14*y**2 + 14*y - 6. Let k be q(13). Suppose -3*m + k + 2 = 0. Suppose 3*u = -z + 140, m*z - 4 = -7. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9874923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-7426 + (-8)\/2). Let o(m) = 4*m + m + 7426 - j. Let u(g) = -60*g + 35. Let h(v) = 5*v - 3. Let c(x) = 35*h(x) + 3*u(x). Determine c(o(s)).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/4)*s)\/s**(3\/5))\/(s**(-3\/4)*s*s**2) assuming s is positive.\nAnswer: s**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 990437 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.032 - -0.452. Let d = -0.08 - m. Let q = d + 2.5. Sort -2\/3, q, 1 in decreasing order.\nAnswer: q, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 760 + -369. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 0, 0*n - 3*n + 9 = -s. Let u be (2 - s\/3) + -25. What are the prime factors of (80\/u)\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 8 - 4 - 8*j**2.\nAnswer: -7*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0602 + -3.0602. Put -0.4, 0.08, k, 2 in descending order.\nAnswer: 2, 0.08, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170585, -4, -65 in increasing order.\nAnswer: -65, -4, 170585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 4054.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let t be a*(-3 - (-56)\/12). What is the third derivative of u**6 + 7*u**6 - t*u**2 + 3*u**2 wrt u?\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - (-7)\/(-2))*-22*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i**2 + 51*i**2 + 115*i**2 - 79*i**2.\nAnswer: 189*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 + -3. Let q = -0.59 - -0.65. Let t = -4.94 - q. Which is the second smallest value? (a) t (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 306 = 3*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*u**2 - 1595872*u + 450511382 wrt u.\nAnswer: -126*u - 1595872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19698 = -37*y + 44*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56938749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 17. Let t = -487 + 490. Put t, -6, y, -2 in descending order.\nAnswer: t, y, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 0 = -12. Let p(j) = -2*j**h - j + 8 + j**2 + 0 + 22. Calculate the remainder when 117 is divided by p(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y. Let v(b) = -7*b**2 - 17*b - 13. Let f(g) = v(g) - 6*x(g). Let s = -4 + -5. What is the remainder when f(s) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9370788 and 107\/62944.\nAnswer: 74966304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kff when three letters picked without replacement from kkfkbkkbkkyybkkbkqy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*j + 3764 + 4933 = 0 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -977 + 2935\/3. Solve -2*i + n + 2\/3*i**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 3*m - m - 9*m. Let z(f) = -31*f**2 - 2. What is c(z(x))?\nAnswer: 62*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 5442*k - 5437.\nAnswer: -(k + 1)*(5*k + 5437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 14}. What is prob of picking 3 j?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333474*l**2*u**4 - 1216*l**2*u**2 - 8*l**2*u - 10272965*l**2 wrt u.\nAnswer: 4001688*l**2*u**2 - 2432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1100)*-4)**2 + (-3*sqrt(1100)*-2 - sqrt(1100)) + (3*((sqrt(1100) - (-2*sqrt(1100) + sqrt(1100))) + sqrt(1100) + -2))**2*-5.\nAnswer: -164080 + 5450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12743 - 12446. Is 302 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (66\/27 - 3)*84. Let q = x - -46. What is the biggest value in 3, 1, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 20*j**2. Let p(l) = 22616 - 22616 + 7*l. Determine o(p(w)).\nAnswer: 980*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139655)\/6975 + ((-184)\/(-180) - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 4, d: 1, e: 2, j: 2, s: 2}. What is prob of picking 1 s and 1 w?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b = -114. Let g be b\/(-5) - (-20)\/50. What are the prime factors of (-6)\/g - (-6860)\/80?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13860 + -124828\/9. Let z(h) = h - 10. Let d be z(6). What is the second smallest value in -1, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 - -426. What is the remainder when 394 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((138\/667)\/(-6))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 - -19.6.\nAnswer: -87.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11062 - 1?\nAnswer: -11063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 280. Let c = d + -55. What is the second biggest value in -1, 3\/5, 1\/3, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + (-270)\/50. Is m at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292717743.\nAnswer: 3, 19, 2029, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -91*b + 71*b. Suppose 80 = 4*r - b*s, 35*r = 30*r + 2*s + 93. What is the remainder when 168 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s - 5. Let y(a) = -3035*a**2. Determine c(y(n)).\nAnswer: 24280*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*k + 83*k + 3*k**2 + 3*k**2 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/310 and -53\/170525.\nAnswer: 10572550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/21 (b) -9\/8 (c) 0 (d) -2 (e) 1 (f) 0.28 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-8)\/6 + 6. Let z = 31 - 29. Suppose 0 = -0*s + y*s - 20, 125 = 5*r + z*s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302385151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1494.9 + 1460.9. Sort 4, 0, s, 0.5.\nAnswer: s, 0, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1768 less than 0.4?\nAnswer: 1768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/24 - (-255)\/(-360)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (238 - 255)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6663?\nAnswer: 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - 20\/6. Let g be (-4)\/(-8)*1299994 - p. What is g rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-65125)\/(-1042))*(2\/(-4))\/(2\/136).\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93da (base 15) to base 3.\nAnswer: 1120212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**3\/3 + 5. Let p(g) = -g**2 - 10*g + 1. Let n(o) = -2*k(o) + p(o). What is n(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*v**2\/2 + 71959*v\/2 + 360594.\nAnswer: -(v - 1541)*(47*v + 468)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*p**3 - 5*p**2 + 122*p**3 + 18*p**2.\nAnswer: -p**3 + 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 239135639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150*i - 709 + 2509 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-252)*54)\/(1\/34).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268 + -241.8. Let m = d + -26. What is the closest to m in 4, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113606221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 - 20*q + 44. Let d(u) = -5*u**2 - 22*u + 46. Let a(r) = 3*d(r) - 4*x(r). Calculate a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 3*q + 4*a + 20, -a = q - 7. What is the remainder when 22 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose 1 = 5*b - 4, -y*b = -2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -w - 11, 3*m + 26 = -2*w - 31. Let c = 17 + w. Let s(y) be the third derivative of -y**6\/120 - y**5\/12 - 5*y**4\/24 + y**3\/3 + y**2. Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2\/2 - 17365*k\/2 + 3873000 = 0. Calculate k.\nAnswer: -3873, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1. Let t(b) = -10*b + 8. Let c(u) = 24*d(u) + 3*t(u). Let n(a) be the third derivative of a**5\/30 - 1266*a**2. Give n(c(p)).\nAnswer: 1800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8425?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 33*d + 31*d + 11, 4*b - 23 = -d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {i: 1, e: 1, s: 1, x: 1, v: 2, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -p - p + 12, 2*p + 23 = -3*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/719 (b) 0.2 (c) -3 (d) 2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 + 0.14. Round q to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 129667629 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74596558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -936 + 271. Put -2, 5, q in decreasing order.\nAnswer: q, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 47*q**3 + 22*q**2 + 35*q + 75. Determine i(-2).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31299, -31326, -31361, -31404, -31455?\n\"Answer: -4*v**2 - 15*v - 31280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/12 - (-1)\/(-2). Let o = -163 - -161. Let x be -4 + -1 - 23*o\/8. Sort y, -3, x, 0.2 in ascending order.\nAnswer: -3, 0.2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-15 + 4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 13641, -3, 5, -3\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 23. Calculate the highest common divisor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516*l**3 - 5021*l**3 + 24014*l**3.\nAnswer: 21509*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/51651035 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*w + 567, 0 = o - 12*w + 8*w - 107. What is the smallest common multiple of o and 11?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in -1, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46 + -1)\/((-3757)\/416 + 9). Suppose j = v - 4*j - 1508, w = v - 3*j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1)*(-6)\/(-3)*18\/(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9500652 micrograms in grams?\nAnswer: 0.0000009500652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -2283?\nAnswer: -2283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6028227 and -41\/36.\nAnswer: 24112908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (168\/112)\/(8\/(-112))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -67*z**2 - 40*z - 39. Determine p(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*k + 78, 0 = 2*k - 0*k - 4*n + 46. Let j = k + 36. Let l be (-18)\/42 - (-17)\/j. Solve 25 = 3*m + l*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.3. Suppose 0 = -3*o + 5*o - 4. Let q = 1 - 1.5. Which is the closest to -1? (a) o (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 18. Suppose 2*d - 7*d = 4*x + 41, -4*d = 4. Let u be k(x). Let l be 110\/40*(u + 0 + 36). What is the highest common factor of 66 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = v + 29 - 31, 4*p = -3*v + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i + 1. Let y be c(3). Suppose 52 = 2*z - y. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7683, -15319, -22911, -30459, -37963?\nAnswer: -45423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 12 - 4. Calculate the lowest common multiple of 36\/8*(-8)\/(-6) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 536147020645\/1306 - 410526096. Let u = 93\/2 + w. Let m = u - -45059\/1306. Find the common denominator of -41\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n. Let g(w) = -4*w. Let y(c) = 3*c. Let x(d) = 5*g(d) + 6*y(d). Determine x(b(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5091 divided by -2\nAnswer: 5091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*k + 20, -5*h - k - 2 = 3. Let c be (-3)\/(3\/(-2)) - 0. Suppose 8 - 3 = c*w - 5*t, h = -4*t - 4. Solve 2*o + w*o = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrmpprmnrm. Give prob of picking 1 n, 1 r, and 2 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckckccc. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o - 5*o**2 - 110*o - o**2 + 222*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(882))\/(sqrt(96)*-1).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p = 25*p. Let l = 99 + -140. Let s = l - -777\/19. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 27*b**5\/20 + b**4\/12 - b**3\/6 + 13*b. Let t be m(1). What is the second derivative of -t*c + 35*c**4 - 4*c**4 - 3*c wrt c?\nAnswer: 372*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgjlon. What is prob of sequence wl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 17*m - 20*m - 286013*m**2 + 286011*m**2.\nAnswer: -2*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 40*l**2 - 38*l = 0. What is l?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 25, 21, 17?\n\"Answer: -4*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 6*s**2 - 4*s + 1. Let g be k(5). Suppose -3*a - 1827 = 4*i, -926 = 2*i + 5*a - a. Let z = g - i. What is z rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 2*t**3 + t**2)*(-7*t + 4*t + 4*t) + (-2*t**3 + 9*t**3 + t**3)*(-65*t - 65*t + 129*t).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*t + 9, 0*t + 2*t - 6 = -2*a. Solve -2*w - 2*i - i = -7, t*w = -i + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*u = -8910, 3*p - 26685 = -2*u - u. Round p to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (2 - -2)) + -4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64559117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3619 and 9541.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114013 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56588, 56677, 56826, 57035?\n\"Answer: 30*a**2 - a + 56559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -7133139\nAnswer: 2853255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/22? (a) 5 (b) -0.06 (c) 15\/22 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 868 - 319. Suppose 11*l + 441 - 2443 = 0. Which is greater: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Solve 0 = -3*v + 4*r + i, 3*v = 4*r - 2*r + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose 3*c - 9 = 4*v, v - z = -0*c - c. Suppose -c - 5 = -x. Calculate the least common multiple of x and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -236846448 divided by 870759?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443181327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 6. What is the smallest common multiple of (-1)\/2 + (-15)\/i and 1 + 1 + 3 + -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17261632\/5113251 + 9\/43703. Let v = -29\/9 + j. Let z = 6 - 3. Which is the third smallest value? (a) 5 (b) z (c) -1\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 1258, 1891?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8337*j - 4110*j - 4260*j.\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (11 - (-33 - -59)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 - 64 = 7*j. Let q = j + -28. Let v be -3 + q + -1 + -1. Which is the second biggest value? (a) v (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose 21704 + 49384 = 3*y + 4*q, 2*y = 2*q + 47406. Suppose 0*v + y = -x*v. Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -18*x + 1440. Suppose x = -10*w + 30*w. Calculate the least common multiple of 13 and w.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -103 - (12\/2)\/(-2). Let b(t) = -t. Let d be b(-5). Does 4 divide -30*d\/(w\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.1 + -6.1. Let l = 16.2 + s. Which is the closest to -0.1? (a) 5 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/6)\/((-44)\/(-582)) and (9284\/72)\/11 - 5?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-167)\/(-501) + (-128836)\/(-6). Calculate the highest common divisor of p and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 649, 1277, 1975, 2779, 3725, 4849, 6187, 7775?\n\"Answer: 6*d**3 - d**2 + 589*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -5.\nAnswer: 258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -1 (c) 37\/5 (d) -5\/3 (e) -3 (f) 0.5 (g) -536\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 - 263. Put 1, -10, n in increasing order.\nAnswer: n, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/423 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*q**2 - 13857422986 + 13857422984 + 46*q**2.\nAnswer: 152*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5343 from 149129204.\nAnswer: 149123861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -54 (b) 0.07 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732592 is divided by 306.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 75*v**2 + 601*v - 2217. Give j(82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 15?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1838*c**2 - 1609*c**2 + 5*c**3 + 3447*c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {t: 1, k: 4, r: 3, q: 7, e: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 24*j. Let v(t) be the third derivative of -t**4\/24 + 12*t**2. Determine v(s(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -6631531.\nAnswer: -6631531, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.01, 0, 1 in increasing order.\nAnswer: -1, 0, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-2 - (-3 - -3)). Which is bigger: -5\/3 or m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-40)*2)\/((-1)\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -12.97. Let v = 0.03 + q. Which is the nearest to v? (a) 3\/7 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 7*d - 9. Let u be p(-4). Suppose 8*t - 9235 = u*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-40)\/16 + -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003396126351 rounded to six dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.2 - -15.8. Let l = 924.08 - 898. Let w = d - l. What is w rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136970?\nAnswer: 2, 5, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -947.55 (b) -5 (c) -0.1 (d) 3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 12\/5*l + 6\/5*l**2 + 9\/25*l**5 + 4 - 3\/5*l**4 - 7\/5*l**3. Let t(i) = 0. What is i?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 74\/5 of a millimeter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 64.117. Let f = 11.083 + t. Let s = f - -1. Round s to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) + (-34)\/(-5). Let v = 10 - h. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 6. Let m(g) = -158*g + 130. Let l(a) = -4*i(a) + m(a). What is the derivative of l(y) wrt y?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 1037191089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 10. Let m be (-246)\/(-656) + 90\/16. What is c(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/121 + 342\/847. Let s = -1 + 1.1. Let o = -5.0274 - -0.0274. Which is the closest to s? (a) -4 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 93*l + 50. Let i be h(-47). Solve -4*b = -b + r + 14, 2*b + i*r = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Suppose 2*p + 3*d + 12 = 6*p, 2*p - d - 6 = 0. Let b(a) = -9*a**4 + 3*a + 14. Let w(k) = p*x(k) - b(k). Differentiate w(j) with respect to j.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398453.2 times 24?\nAnswer: -9562876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -13, 11 in ascending order.\nAnswer: -13, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4. Let t be u(2). Let o be -1 - (t + -3 - 2). Suppose -o*d + 216 = 3*w, 2*w + 0*w - 144 = 5*d. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 1\/54 (c) 0.11 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9.6. What is the closest to 0 in -4, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 13*y**2 + 13*y + 15. Let q be w(-12). Suppose -q*a + 7 - 1 = 0. Let s = 11 + a. Calculate the remainder when 22 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (-1)\/(-1)*0. Let a = -6 - h. Suppose a = -6*f + f + 40. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-3) - 568\/(-12) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.421nm in kilometers?\nAnswer: 0.000000000201421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -51, -52, -53?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101131*j + 101136*j + 20 = 0, -4*i - 5*j - 24 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h**3 + 4*h**2 - 30?\nAnswer: 21*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.073 + 0.268. Let q = n - -0.005. Let r = -0.1 - -0.5. Which is the nearest to q? (a) -1 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1053151 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -449, -946, -1589, -2348, -3193, -4094?\n\"Answer: 5*m**3 - 118*m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 982*u + 781. Let g(d) = -2*d. Give f(g(j)).\nAnswer: -1964*j + 781","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**2\/2 - 9*x + 941. Give y(16).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let b(s) = -3*s + 7. Let n(i) = b(i) + 5*r(i). What is the first derivative of n(q) wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from xdsqqtg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1239688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731063.\nAnswer: 2731063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -97, -1.56, 4\/7, 3?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.3181 or -4?\nAnswer: -3.3181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -340443 (base 9) to base 7\nAnswer: -1506015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j. Let o(i) be the third derivative of -11*i**6\/720 - i**4\/2 - 4*i**2. Let f(d) be the second derivative of o(d). Give -4*f(k) - 10*r(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 8*t**2 - 51. Let a be r(-7). Put -8, a, 4 in increasing order.\nAnswer: -8, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0 + 10. Suppose -5*r - m = 0, r = a*r - 2*m. Suppose 4*x + x - 50 = r. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2\/2 + 1590*s - 6336 = 0.\nAnswer: 4, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3704125 less than 87757?\nAnswer: -3616368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*y - 26 = 184*y + 4*r, y - 3*r - 17 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k = 144*k - 1527 - 2269 - 2004 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(880) + sqrt(880))\/((sqrt(132)*-2)\/sqrt(12)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is db + 9?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-12)\/96*(-2)\/8. Let j = -0.24 + -0.06. What is the smallest value in j, 1, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.251 + 3.3. Let m = c - 0.04871. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005916 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 189*l + 41. Suppose -32 = -50*h + 42*h. Is 4 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 449 or 383?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13097 + 142.98.\nAnswer: -12954.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 36. Suppose -2*w = 2*i - 138, 3*w - x - 31 = -i. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 240 = 6*b. Suppose -8*z + 10*z = -5*m - 14, -z + 3*m + 15 = 0. Suppose z*i = -5*x + 365, 3*i - b = -x + 1. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaccaacacacaccccaa?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 160*j**4 + 317*j**4 - 86*j**3 + 2*j - 158*j**4 to the form z*j**4 + b*j**2 + f + c*j + g*j**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -77*h + 449 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -120, -99, -66?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869796?\nAnswer: 2, 717449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 16 + -7 - (-23 + 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x, 3 = -n + x + 4. Suppose 0 = -2*o + n*o - b - 7, -2*o - 2*b + 14 = 0. Let s be 1 - -3 - (0 + (6 - o)). Solve -10 = -s*j + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j - 2 - 8*j**3 - 8*j**3 + 21*j**3 + 6*j**2 - 4*j**3 + 11. Let t be q(-3). Solve 5*w = -15, -20 = -t*l + 8*l + 5*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*n - 2*n. Let o(x) = 6*x - 4*x**2 - 4 + 0*x**3 - x**n + 9. What is o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*m - 108 + 99, 14 = 3*t + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 51 = -17*a - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -417*h + 1234 + 589*h + 675*h - 264*h + 644*h wrt h?\nAnswer: 1227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.38 + -14.38000206. What is p rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363*n**4*z - 2*n**3*z**2 - 2*n**2*z**2 - 18*n**2*z + 24*n wrt n.\nAnswer: -8712*n*z - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162441546 is divided by 312?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 593*x + 50664. Determine y(-85).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3930*l - 12189*l - 61078*l.\nAnswer: -77197*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 139. What is the third derivative of -94*p + 45*p - 4*p**4 + 43*p + 6*p**5 + p**5 + 7*p**h wrt p?\nAnswer: 420*p**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = 4*c, -4*z - 3*c + 36 = -0. Let v = -20 - -36. Calculate the remainder when v is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358880.\nAnswer: 2, 5, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/3 + 14*o**4\/3 + 104*o**3\/3 + 184*o**2\/3 + 32*o = 0.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - g - 2. Let d(y) = -181*y**2 + 135*y + 8. Let l(z) = d(z) + 4*r(z). Find the second derivative of l(s) wrt s.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32333 + -12?\nAnswer: -33011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211080, 211083, 211084, 211083, 211080?\nAnswer: 211075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7f59ad (base 16) to base 4.\nAnswer: -133311212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -183, 2\/9, 0.1, -2\/5, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/5 + 2284*v - 6520820 = 0. Calculate v.\nAnswer: 5710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 332528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:21 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143354 + 75354. What is f rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3747\/40 - 464\/5. Is 0 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187 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: Let b(s) = 29*s + 17. Let f(c) = -10*c - 6. Let l(j) = 3*b(j) + 8*f(j). Let k be l(6). Suppose 3*v + 16 = 70. What is the highest common divisor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 80*k**3 - 15686*k**2 + 769496*k - 57624 = 0.\nAnswer: 3\/40, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y - 3. Let l be (-20)\/90 + (-130)\/(-18). Let k be j(l). What is the units digit of 4 - (12\/k - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5975023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6133, 0.5, 4, 5 in descending order.\nAnswer: 5, 4, 0.5, -0.6133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 6*u**2 - 6*u - 8. Let y(c) = 6*c**3 - 5*c**2 - 5*c - 7. Let h(d) = -6*n(d) + 7*y(d). Let z = 9 - 7. Suppose -b + z = 1. Calculate h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46575*j**2 + 2*j**3 + 23298*j**2 + 23295*j**2.\nAnswer: 2*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9397*s - 1839*s - 6000*s to f*s + v and give f.\nAnswer: -17236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 1, -3, -15, 10, 24 in decreasing order.\nAnswer: 24, 10, 1, -3, -15, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14882 and -0.4?\nAnswer: 0.54882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328164 = -617*s - 3061*s - 1078*s for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v**2 + 6*v. Let g(s) = 11*s**2 - 9*s + 5. Let k(d) = 3*d**2 - 4*d + 3. Let x(w) = 3*g(w) - 5*k(w). What is 7*l(i) + 6*x(i)?\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 21?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5 - 15*m**4 - 4725*m**3 + 119595*m**2 - 927690*m + 1414944 = 0.\nAnswer: -48, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7940471 by -103123.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 1106617?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 1554458*a**3 - 9693905*a**3.\nAnswer: -11248363*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1952\/160)\/(-61)*36.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 3:43 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -1*(sqrt(70) + (sqrt(70) - ((sqrt(70) - 3*sqrt(70)) + sqrt(70)))) - -4*sqrt(70)*3)*-4)\/((-4*sqrt(40)*-1)\/(sqrt(64)*-3 - sqrt(64))).\nAnswer: 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 33. Suppose u = 7*i - i. Let n(g) = g - 5. Give n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 13. Give a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558 + 558 + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 53587119?\nAnswer: -1\/17862373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10831220.9 from 0.0996488.\nAnswer: 10831220.9996488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33925 is divided by 617.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 50186.6 + -2809783\nAnswer: -2759596.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 9) to base 16.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 843*h + 13 = -848*h, 4*h = 5*w - 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/39))\/t**6*((t*t**(-23))\/t)\/(t*t**7) assuming t is positive.\nAnswer: t**(-1406\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*c - 10, 3*c - 7*o = -6*o - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d**2 + 1 - 112*d**2 - 1.\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a - 3 + 0*a**2 + 5\/3*a**3. Let t(o) be the second derivative of -8*o**3\/3 - 389*o - 3. Give t(r(q)).\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 92 - 40*n + 6*n - 45*n. Let x(a) = 3*a**2 - 79*a - 91. Let b(w) = 4*d(w) - 3*x(w). Differentiate b(v) wrt v.\nAnswer: 6*v - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535 divided by 357.\nAnswer: -535\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j - 2*j. Let s = -7 + 8. Suppose s = -3*k + 4. Solve k = -b - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, a: 4, x: 2, i: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1849*i - 3882*i = 1650*i + 4177*i - 448020 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6731 - -6731.4. Let o = -5 + 4.8. What is the third biggest value in o, z, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1976)\/1805)\/(310\/2945)?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 953\/5 + -190. Let s = -3.047 - -0.047. Sort s, -3\/13, f in ascending order.\nAnswer: s, -3\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(20\/16 + -2). Let b = 21 + z. What is the remainder when 3\/(-9) - 134\/(-6) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-8) - (-3)\/(-2). Which is smaller: 4\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*m - 8*m + 32996, -4*m + 33012 = z. List the prime factors of m.\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 792439?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1052*u**2 + 11*u + 13. Let h(o) = -3*o + 1. Let m(x) = 2*h(x) + y(x). Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.008 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsssssssdsd. What is prob of sequence ddd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/11)\/u*u*u**(14\/3))\/(u**(1\/8)*u**2) assuming u is positive.\nAnswer: u**(839\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34037797.29 + -0.4.\nAnswer: -34037797.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.086 and -0.5?\nAnswer: 5.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3760953.665 to the nearest 10000.\nAnswer: 3760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o - 40 = 0. Let s = -2603 + 2579. Let k be (-150)\/9*s\/o. Do -20 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81300147*h**3*k**2 + 358497*h**2 - 114*k**2 wrt h.\nAnswer: 487800882*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:53 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -25. What is the third derivative of -14*t**2 + 8*t**2 + t**4 + q - 6 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -19*o - 6. What is the third derivative of -9 + x**o - x**5 - x**5 + 8*x**2 + 6*x**3 + 2*x**5 wrt x?\nAnswer: 120*x**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 39*b - 1620. Let v be (-26)\/(-8) - (-1)\/(-4). Suppose 0 = 2*f - 4*c - 20, -6*f + v*f = -5*c - 32. Calculate the highest common factor of f and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/15 - 56*t**4\/5 - 122*t**3 - 940*t**2\/3.\nAnswer: 2*t**2*(t - 94)*(t + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:09 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**7\/70 + 3*g**6\/40 - g**5\/5 - 21*g**2 - 26. Let f(t) be the second derivative of i(t). What is n in f(n) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.2 less than 0.1644?\nAnswer: -648.0356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(15*-1)*(-17)\/(-17)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1061*y**2 - 1223?\nAnswer: 2122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 2 - 8*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283665.000008 - 283678. Let v = -13 - r. What is v rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(2*f + 2*f - 2*f) - f - 2 + 2 + 20*f + 3*f + 30*f to the form h + b*f and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -9. Let w be (-30)\/k + 3 + 0. Let d = 0 + -1. Are d and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-508002)\/(-19690)*(2\/(-10) - (-159)\/45)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 + 2*g**3\/3 - 196*g. Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213485029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.014 * 6131\nAnswer: -12347.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 450 + 13062?\nAnswer: 13542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/9 - 308*y**2\/3 + 94864*y\/3 + 2117. Factor z(l).\nAnswer: (l - 308)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:47 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t - 27*t - 55*t.\nAnswer: -125*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -539*f*k*m**2 - 76*f*k + 7*f*m**5 - 3*f*m**2 + f - 2*k*m + 3*m wrt m?\nAnswer: -1078*f*k + 140*f*m**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -2\/13, -403, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*1)\/((-14)\/(-28)). Suppose d*g = 2*h + 342, 2*h - 4 - 2 = 0. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 - -11.1. Let m = -1.3 + 0.3. Let j = -3.2 - -0.2. What is the biggest value in m, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(882)*1 + sqrt(882))\/((3*sqrt(150) + sqrt(150))*1 + sqrt(150))*-6.\nAnswer: -84*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/sqrt(99) - sqrt(11) - (2*sqrt(11) + 5)) + -2 + 1 + sqrt(275))**2.\nAnswer: -28*sqrt(11) + 863\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4164.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-60)\/(-3630)*11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 149905.7 nanometers?\nAnswer: 0.0001499057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, -196, -247, -244, -169?\n\"Answer: 3*h**3 - 108*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4905.4 (b) 3 (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (32514946\/(-107))\/(2\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 724, -2, 0.2 in increasing order.\nAnswer: -2, 0.2, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332534.\nAnswer: 2, 23, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3033)\/36)\/((-9)\/8 + 1). Let z = -181 + n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.5364ml in litres?\nAnswer: 0.5135364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 11*q**2 + 14*q - 137. Calculate s(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -5 + 2 + 9 + -15 + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u + 3*u**2 + 78*u - 13 - 33*u.\nAnswer: 3*u**2 + 98*u - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/1575 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/20))**(-39) assuming n is positive.\nAnswer: n**(-819\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 22*q**2 - 46*q + 28.\nAnswer: 2*(q - 7)*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 3*a + 3*a + (1 - 1 - 2*a)*(-3 + 1 + 0))*(143*a**3 - 111*a**3 + 141*a**3) in the form u*a**4 + s*a**2 + r + p*a + t*a**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11971*d**2 - 11965*d**2 + 23931*d**2. Let h(b) = -38*b**2 - 16. Calculate h(t(n)).\nAnswer: -950*n**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -30 - (-8 + 1 - (14 - (16 + -4)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 509*f**3 + 377. Let m(s) = -1019*s**3 - 749. Let x(j) = 6*m(j) + 13*z(j). Find the first derivative of x(n) wrt n.\nAnswer: 1509*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by -65.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6)\/d)**(-4\/11)*(d**(-12)\/d)**25 assuming d is positive.\nAnswer: d**(-10723\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 3 = -3*a, -4*a + 15 = 5*r. Let g = -23\/3 - -89\/12. Let w = 3\/4 + g. Are w and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 460411.56 days?\nAnswer: 65773.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = -23385 + 23822. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 787*g. Let y(d) = 587*d. Calculate v(y(u)).\nAnswer: 461969*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 649, -2.4, 1, 2, -4?\nAnswer: 649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/5 - 12699*l**3\/5 - 50853*l**2\/5 + 38079*l\/5 + 228798\/5 = 0. Calculate l.\nAnswer: -3, 2, 4237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41712.71 - 66467.3?\nAnswer: -24754.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 13?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 857119417344.\nAnswer: -857119417343.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 - 7*m**2 + 15*m + 25. Let v(n) = 4*n**3 + 3*n**2 - 7*n - 13. Let j(u) = -3*g(u) - 5*v(u). What are the prime factors of j(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*x - 91. Suppose 12 = 2*f - x. What is the greatest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + l + 451230 + 64257, 0 = 5*m - 3*l - 429566. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20101200220 (base 3) to base 8.\nAnswer: -365712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*q**2*x**2 - 11*q**2*x - 14*q*x - 91*q - 6*x**3 + 3041*x**2 + 44*x wrt x.\nAnswer: 222*q**2 - 36*x + 6082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10\/(-7) + (-96)\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**22*p)**(2\/51))**(-28\/3))**30 assuming p is positive.\nAnswer: p**(-12880\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 301015, 1204102, 2709235, 4816408, 7525615?\n\"Answer: -k**3 + 301029*k**2 + 7*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -28 - 45 - n - 36 + 106 + 7*n**2. Let w(g) = -34*g**2 + 4*g + 14. Calculate -14*p(m) - 3*w(m).\nAnswer: 4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2*l**2 + 2*l**4 + 0*l**2 - 7*l**4 - 5 + 4*l**4 to the form n*l**3 + f*l + u*l**2 + k*l**4 + z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6039716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 99. Let t be z(39). What is the common denominator of 65\/3 and t\/2*28\/567?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241062 is divided by 469?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200312 + -24042?\nAnswer: 121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 9. Let m = q + -6. Let c be m\/(-11) - -3 - 3. What is the second biggest value in c, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, w: 4, f: 2, a: 3}. What is prob of sequence wfma?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 7:14 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from guzugggugwgwu.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406789073 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 2*z - 3)*(282 + 296 - 80).\nAnswer: 996*z + 996","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28433 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 230230071 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**4*r**2 - j**3*r**2 + 3*j**3*r - 8*j**2*r**2 - 2*j**2*r - 11*j*r**2 wrt j?\nAnswer: 168*j*r**2 - 6*r**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -1 + 0\/(-5). Suppose 0 = r*k - 4*l - 82, 0 = -k - 0*l - 5*l + 28. Let m = -121 + 124. Solve -m*q - k + 6 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16\/49 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2788, -3739, -4828, -6055, -7420, -8923?\nAnswer: -10564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(-12 + 12 - 8*f).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -1.7, 2, 1, -0.16 in ascending order.\nAnswer: -4, -1.7, -0.16, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*n + 3 - 1, -3*n = -4*h - 3. Let i(q) = -q**3 + q**2 - q + 78. Let a be i(h). Suppose -a = -5*s + 2*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 + -11 - -8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(0*l**3 + 0*l**3 - 2*l**5) + (-2*l**4 - 4 + 4)*(-5 + 5 + 9*l).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278 * 10.\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - 1*sqrt(66))\/sqrt(6))**2 - sqrt(11)) + ((sqrt(176))**2 - sqrt(44) - sqrt(44)) + sqrt(44).\nAnswer: -3*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8841115 is divided by 659?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903985.\nAnswer: 3, 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = -5. Sort 3, k, 2 in decreasing order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.1026424 minutes to weeks.\nAnswer: 0.003482405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Let h(d) = -115*d + 40. Determine l(h(r)).\nAnswer: 230*r - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 599\/599*(-2)\/34\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -29*v - 257 - 126 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14888206 by -5.\nAnswer: -14888206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 180614512 + -157\nAnswer: 180614355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23780*j**2 + j - 11874*j**2 - 11365*j**2 - j.\nAnswer: 541*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -4*l - 108, 3*l = 5*o - 511. Is 5 a factor of (-6)\/(-42) - o\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 4*n**2 + (-2*n + 4 - 4)*(-n + 2*n + n))*(0*n + 2*n - 4*n)*(13 - 2 - 2)*(-5 - 2 + 0).\nAnswer: -1008*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 - (-1 + -10 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13186, 13243, 13302, 13363, 13426, 13491, 13558?\n\"Answer: h**2 + 54*h + 13131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3))\/(8\/(-12)). Let y(n) = 3*n**2 + u + 4*n + 2*n + n. Is y(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, 0, -6, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 0 - (12 + -69 - (70 + 3))?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2)*k)**(4\/17))**(-3) assuming k is positive.\nAnswer: k**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101556 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-439)\/2 + (-252)\/24 + 11. Let i = 219 + t. Which is greater: -10\/17 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + 7*y - 5*y + 7*y**4 as k*y**2 + r*y**4 + t*y + h + z*y**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 611189*d**2*s**3 - 77*d**2*s**2 - 233201716*s**3 + s**2 wrt d.\nAnswer: 1222378*d*s**3 - 154*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21243202.\nAnswer: 2, 10621601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 53808816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 4.99. Let g = -498 + 500. Which is the third biggest value? (a) g (b) -0.4 (c) f (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 755941, 1511883, 2267825, 3023767, 3779709?\n\"Answer: 755942*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from {s: 2, c: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3616*d**2 + 41*d - 43. Let y(w) = -1205*w**2 - 15*w + 15. Let l(c) = -3*r(c) - 8*y(c). Find the second derivative of l(o) wrt o.\nAnswer: -2416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*i = 506*i + 6464 + 14284 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*12\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -16. Suppose -27 = -2*s + 3. Let d = 4 + -1. Solve 4*z - 7 = -c*k, 4*k + d*z = 5*k + s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 188*j - 2574 = -29*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-1)\/(4\/228) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 2, u: 3, f: 1, t: 6}. What is prob of sequence uty?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -319*g**3 + g - 2. Let r(p) = -159*p**3 - 1. Calculate 5*r(o) - 2*z(o).\nAnswer: -157*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*2*sqrt(130) - sqrt(130)))\/(sqrt(50)\/sqrt(5)*-2 - (sqrt(160) + (sqrt(160) - -1*sqrt(160) - sqrt(160)) + sqrt(160) - sqrt(160))).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11032011 = 6*z, -15*r + 21 = -12*r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2 + 3*l**2 + 6*l**3 - l wrt l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:35 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/(-14)*(-1)\/(-3)*(-3)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1935185580 to the nearest 100000.\nAnswer: -1935200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/468 and 61\/1638?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.804538km to micrometers.\nAnswer: 804538000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-94)\/(-6))\/(3\/306). Let p = x - 477. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 4509.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (63\/(-378))\/((-50)\/(-69)). Is x less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*s - 5*a - 20, -s = -a - 15. Suppose -4 = -16*y + s*y. Calculate the least common multiple of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - 2)*(-1)\/3. Let p(a) be the first derivative of a**2 - 2*a - 9. Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 5. Let q be n*(36\/(-15) - -2). Factor 6\/5 - 4\/5*a - 2\/5*a**q.\nAnswer: -2*(a - 1)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 at most 431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.91 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19553090\nAnswer: -19553092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374751171.\nAnswer: 3, 11, 31, 3298877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3994, 6140, 8286, 10432, 12578?\nAnswer: 14724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 1908.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6999*l + 24994*l + 223 - 72 - 74 - 74.\nAnswer: 31993*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1236197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a**2 - 48*a**2 + 95*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f313 (base 16) to base 4.\nAnswer: -133030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjpa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 48351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9870864623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {l: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2801617 + -411\nAnswer: -2802028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, o: 1, z: 2}. Give prob of sequence zmm.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*f = 65, -104 = -2*o - 3*f + 35. Let p(s) = 10*s - 2. Let n be p(-5). Let c = o - n. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - 7 - -26) + 62 - (-1 - -5).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 27*n**2 - 25*n + 49. Give h(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 2*n - 20 = 0, -3*n = 2*l + 6. Suppose 1 - 4 = -l*q. Solve -2*s - q = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -76, 0.44, -2\/103, -0.04, -2\/3?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 + 8*o**2 + 39*o + 400. What is the tens digit of p(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95639 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 51. Suppose -2*m - 5*s + s = -h, 0 = -3*m + 3*s - 15. Which is smaller: m or -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 520, -1\/8, 9.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, -4, 2 in decreasing order.\nAnswer: 2, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -128.2. Let q = 3 + 0. Let c = 225 - 895\/4. Put q, k, c in descending order.\nAnswer: q, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 6*a + 2. Let i(u) = -u**3 + 4*u**2 + 4*u - 3. Calculate the remainder when i(4) is divided by w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q - 884. Let r(d) = d**3 - 10*d**2 - 5. Determine -5*o(s) - r(s).\nAnswer: -s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 115, 177, 243, 313?\n\"Answer: 2*i**2 + 52*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 0*g**2 + 7*g**2 - 31*g**2.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, -287.\nAnswer: -287, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*o**3 + 4\/7*o**2 + 0*o - 2\/7*o**4 + 0 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - w**2 + 3)*(0*w - 2*w - 2 + w + 3 - 3 - w + (w - w + 2*w)*(-1 + 1 - 2)).\nAnswer: 6*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1023*o*t*x**2 + o*t*x - 2*o*t + 12*o*x**2 - o*x + 185*o - 2*t*x**2 + 2*t + 2*x**2 + 56 wrt x.\nAnswer: 2046*o*t + 24*o - 4*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*14*(-12)\/(-1764)*-6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/20)\/((-5918)\/(-2690)). Factor 0 + 2*y**2 - y**4 + 2*y + f*y**5 - 3\/2*y**3.\nAnswer: y*(y - 2)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 2, 0, 2\/51, -29, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.216734 litres to millilitres.\nAnswer: 7216.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 21. Let h = w + 11. Let p(y) = -y**2 - 1 - 3 + 3*y - 1. What is p(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(1\/3))*m)**(-2)\/(m**(-1\/4)\/m)**3 assuming m is positive.\nAnswer: m**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + 75*x**2 - 71*x - 13. Let f be z(24). Solve 41 - 8 = f*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 0, 3.315, -2, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15761473 and 9597.\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141*y - 208 = -2124*y + 30 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 6. Let x(b) = -17*b + 11. Let i(l) = -11*q(l) - 6*x(l). Let f = 4 + -2. Let v(y) = y - f*y + 0*y + 0*y. Determine v(i(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 20*s**2 + 21*s + 26. Calculate the least common multiple of 16 and q(21).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22111277?\nAnswer: 31, 713267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18600 by -248.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77495441 divided by -1.\nAnswer: 77495441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 4*n**2 + 9*n - 4. Let g be m(6). Let a = g + 28. Suppose 0 = 4*v + 2*k - 132, -5*k - 112 = 3*v - a*v. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 4 + 96 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - 2*j - 2. Let q(u) = u**2 - 8*u + 5. Let f be q(7). What is a(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13549, 15703, 17857, 20011, 22165?\n\"Answer: 2154*s + 11395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26500696 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 48 = -11*i. Suppose 4*n - n = i. Suppose -h = n*h - 790. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1618, -1639, -1660, -1681, -1702, -1723?\n\"Answer: -21*r - 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 3*b + 2. Let u be l(4). Calculate the highest common divisor of u and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(64)\/sqrt(4))\/sqrt(2) + sqrt(8)) - (-2 + (sqrt(17) - (sqrt(51)\/sqrt(3) + -3 + sqrt(17))**2)).\nAnswer: -25*sqrt(17)\/2 + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(66)\/sqrt(3))\/sqrt(2) + sqrt(132)\/(sqrt(12)*2)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25505292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 258\/5 (b) 47 (c) -3 (d) 1\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70189 + 2.9.\nAnswer: 70191.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 91 = 2*a, 9*o = 2*a + 11*o - 84. Solve 0 = 47*l - a*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*z + 186*z - 703*z.\nAnswer: -1309*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13575, -3 in descending order.\nAnswer: 13575, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 4*z**2 - 9*z + 9. Let b(v) = -2*v**2 + 4*v**2 - 3*v**3 + 4*v + 2*v**3 - 4. Let w(q) = 387*q + 3100. Let t be w(-8). What is t*s(p) + 9*b(p)?\nAnswer: 3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2. Let c(q) = -4*q - 1. Let r(x) = -410*x - 50. Let a(u) = 50*c(u) - r(u). Give w(a(s)).\nAnswer: 176400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 39. Find the second derivative of l*n + 5*n - 6*n**3 - 2*n wrt n.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.39 + 3.61. Let c(o) = o**3 + 4*o**2 - 5*o - 2. Let k be c(-5). Put f, -4, k in increasing order.\nAnswer: -4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, m: 2}. Give prob of picking 2 v and 1 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -1\/4 (c) 1\/5 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 11. Calculate the remainder when o(-8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 58. Let g be i(7). Calculate the common denominator of 2\/(-10) + (-257)\/40 and 6\/16*(280\/15 - g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-10 - (-22 + 9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.9498ug to nanograms.\nAnswer: 67949.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from rkgrggklzzrrrkr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2737, 2632, 2527?\n\"Answer: -105*n + 2842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 28. Let p(q) = -q**3 + 8*q**2 - 7. Suppose -i + 0 = -6. Let s be p(i). Calculate the highest common divisor of g and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199.6*432.\nAnswer: 86227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12279993.\nAnswer: 3, 11, 372121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(27 - 27 - 6*g) + (-4 + 4 + 2)*(-5*g + 5*g - g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((132\/(-90))\/11)\/(4\/18))\/((-15)\/2150)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7855 = 1798*l - 16*l - 22439 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaacaaacccacwaa. Give prob of sequence wa.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, -0.2, 0.371, -1\/6, -2\/11?\nAnswer: 0.371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:34 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2. Let a(d) = 2885*d. Determine a(u(x)).\nAnswer: 14425*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(63\/(-196))*(-868)\/1085*(-330)\/28?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/8 + 165*p**3\/2 - 263*p**2 - 6. Let g(k) = 3*k. Calculate t(g(b)).\nAnswer: -9*b + 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*t - 10, -3*m + 3*t - 12 = -m. Suppose -5*o + 4*o = 200. Let v be (-1545)\/(-10)*o\/m. What is v rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(8\/5)*z)*z*z*z**(-5\/2)*z*((z\/(z\/(z**(-1\/2)*z)))\/z)\/z*z\/(z*z\/(z\/z**(-5\/3))) assuming z is positive.\nAnswer: z**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, 2, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**5)\/(i*i**(1\/2))**36 assuming i is positive.\nAnswer: i**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 64 + 28)*(-i - 8 + 8)*(1 + 2 - 2) to g + k*i and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1311 divided by 3\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 30 = 6*d. Let u(f) = -f**2 - 3*f - 10. Let b be u(d). What is the common denominator of -69\/4 and (-4)\/(-14) - 1164\/b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**9\/9072 + w**8\/5040 + w**3\/3 + 2*w**2. Let h(l) be the first derivative of t(l). Let h(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3710581 is divided by 230?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77900426 to the power of 1\/2, to the nearest integer?\nAnswer: 8826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**4 + 10*d**3 + 2*d - 11*d**3 - 1 - 39*d**4 as n*d**3 + j*d**2 + i*d**4 + t*d + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 194 and -81752 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 - 1. Let x be u(-1). Suppose -x*d + 0*d = -140. Let a be (-39)\/(-5) - 16\/d. Solve -3*p = a + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 28.84401169.\nAnswer: 29.84401169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397146 is divided by 950?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 305573027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271603\/30 - 9049. Find the common denominator of 68\/3 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 421 + -325. Suppose -130*c = -124*c - q. Let x = 264 + -120. Calculate the highest common factor of x and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 50 = -2. Suppose -369 = -4*u + 5*s, 5*u - 3*s + 6*s = 452. Calculate the highest common factor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqvv when four letters picked without replacement from vqqqvvvqvqa.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049635242 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 152545198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*m**2 + 13\/3*m.\nAnswer: m*(m + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 2:17 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(1 - 6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4559 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (7 - (-1 + 3 + -58 + 69))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04814738 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 5*f**2 + 7. Let i(o) = o**3 + 2*o**2 - 3. Suppose -16*v + 22*v - 352 = -82*v. What is v*c(u) + 10*i(u)?\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19.273905 months?\nAnswer: 0.00160615875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:03 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-1\/4))**(10\/7))**(-37\/3))**38 assuming d is positive.\nAnswer: d**(-3515\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2 - 7 + 2 - g. Let z(y) = -y - 9. Let m be z(-4). Let s be j(m). Sort 3, s, -4.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j + 2. Let y be i(4). Suppose 4*v = y*t + 76, t = 2*t. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/10 + (-468)\/(-15). Suppose 37*a = n*a + 25. Calculate the least common multiple of 9 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i + 670 = 280 - 1115 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -502 (base 10) to base 12.\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.1 + 3.9. Let c = 16.85936 - -0.14424. Let h = o - c. What is h rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7318*k**2. Let z(i) = -i**2. Calculate z(w(x)).\nAnswer: -53553124*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 2*b**3 - 12*b**3)*((-2 - 2 + 0)*(-15 - 9*b + 15) + 2 - 2 - 3*b).\nAnswer: -330*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35*2143.1\nAnswer: -75008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57161.7um in centimeters?\nAnswer: 5.71617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/15*t**4 + 1\/15*t**7 + 0 - 33*t + 0*t**3 + 2\/75*t**6 - 7\/50*t**5 + 0*t**2. Solve z(s) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/(-14) - -12 - (5 + -2). Let p(b) be the first derivative of 104*b**2 - 5 + 280\/3*b**3 - 49*b**t + 32*b. Factor p(x).\nAnswer: -4*(x - 2)*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l*r**2 - 2489*l*r + 4*r**2 - 2090*r wrt l?\nAnswer: 4*r**2 - 2489*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 5.8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -123, 4, 11 in decreasing order.\nAnswer: 11, 4, -1, -2, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18322 is divided by 213.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 8*p - 16. Suppose p = -2*x + 4*x. What is the units digit of x\/(-18)*-69*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from iiiiiiiriiiiiiiiri.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**12*i*i)\/((i*i**(2\/11)\/i)\/i))**(-7\/4))**38 assuming i is positive.\nAnswer: i**(-21679\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*y + 35. Let k(f) = f**2 + 2*f - 4. What is k(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3\/(-15))\/(-2 + 289\/145)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 7963 + 47953 = 42*l. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**8\/336 + r**7\/168 + r**6\/36 - 7*r**3\/2 + 25*r. Let u(b) be the second derivative of j(b). Factor u(a).\nAnswer: -5*a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116432*j**3 + 1101*j**2 - 49*j?\nAnswer: -698592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-14)\/12. What is the second smallest value in -0.02, 5, -1\/4, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*u - 9 = 0, 3*r - 205*u = -208*u - 33 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-657)\/(-36). What is the highest common divisor of l and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 90*n - 9. Let a(d) = -2*d**2 + 45*d + 5. What is -5*a(u) - 3*p(u)?\nAnswer: -2*u**2 + 45*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 56 + 216. Let j = w - -130. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*(n\/((n\/(n*n**(1\/3)))\/n))\/n))*n**(-6\/5))\/(n**(6\/5)\/(((n**5*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 592 - 1606 = 194*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -69, 15, -0.3, -0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*y + 12, 0*u + 5*y = u + 15. Suppose 3*m + u*m - 9 = 0. Solve 0 = -m*p + 4*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3 + 7. Let g be 1\/4 + 489\/12. Suppose q*p + g = 4*l, 20 = -0*l + 5*l. Let o(u) = u**2 + 3*u - 6. Calculate o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209415 by -4.\nAnswer: 209415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert f21f8 (base 16) to base 3.\nAnswer: 1212101101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:01 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + 0 - (sqrt(3) - sqrt(21)\/sqrt(112))**2)*-4.\nAnswer: -4*sqrt(3) + 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088389 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 4*b - b + (-3*b - 4*b + 5*b)*(-4 + 0 + 1))*(2*b - 4*b + 0*b) in the form m*b**2 + j*b + g and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 1905 - 2025 = 0 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 6619640.\nAnswer: 6619643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c + 18*c. Let z = -1 + 2. Let p = -61 + 61.3. What is the closest to z in p, 0.2, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -65174290\nAnswer: 65174295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 31, -3, -1 in descending order.\nAnswer: 31, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -50. Let p = y + 47. Let j = p + -16.3. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 352*j - 8. Let m(g) = g**2 + 2. Give -4*m(k) - s(k).\nAnswer: k**2 + 352*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 = -6378548*z + 6378598*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 53. Suppose 0 = -3*z + 3*t - l, z - 5*t + 16 = 3. Find the third derivative of -35*q**2 - 7*q**5 + 75*q**z - 30*q**2 - q**5 wrt q.\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 34*f + 134. Calculate p(-15).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d - 7169217 + 7169217.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230230*i*j*v**3 - i*j*v - 4*i*v**3 - i*v**2 - 6*i*v + i - 53*v with respect to j.\nAnswer: 230230*i*v**3 - i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 8*x**2 + 37*x + 42. What is z(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2272206, -2272205, -2272204, -2272203?\nAnswer: -2272202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(-2 - -4). Suppose 2*d + 5*b - 19 = 0, -5*b - 5 = -w. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/271, 0.4, -21?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 271*q - 25*q as s + l*q and give l.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose -m + 3*k = -j*k - 11, 10 = 5*k. Suppose q + m = 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 2*t + 8, 5*q = -t + 35. Let h(c) = -2*c. Let w be h(4). Let o be q + w - (-12 - 0). Solve 5*u - d - 20 = 0, 5*d = u - 38 + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/10 and 31\/24996?\nAnswer: 124980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-28161)\/1512 + 3\/24)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260.44 + -257. Let g = m - 2.94. What is the closest to -0.1 in -2, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**2 - 5 + 3*o**2 - 4 - 4*o**2. Let z(h) = -2*h. What is z(m(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 726 - 726. Put -5, -1, a, 5 in ascending order.\nAnswer: -5, -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -27432, 0.2?\nAnswer: -27432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**4 + 2*o**4 - 2*o**4)*(241 - 48 - 123) + 3*o**3 - 3*o**3 - o**4 as m + q*o + u*o**3 + v*o**4 + c*o**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 129 - 48 = 0. Let m = 47\/2 + -22. Let d = -69\/76 - -3\/19. Put p, m, d, 0.2 in decreasing order.\nAnswer: p, m, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/15 - r**5\/2 + 5*r**4\/6 + 5*r**3\/3 - 6*r**2 + 3*r. Suppose t(d) = 0. What is d?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 5) in base 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1022)\/(-342) - (3 - 0). Let r = -1004\/1881 + z. Find the common denominator of r and (3\/5)\/((-20)\/25).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265932 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 3*j**2 + 7*j + 5. What is the remainder when k(-6) is divided by ((-6120)\/(-240))\/((-6)\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1004, 4, 9 in ascending order.\nAnswer: 4, 9, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 0*i = 3*i. Suppose -2*v - 4*n = -238, n - 441 = -4*v - i*n. Let f = -82 + v. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j + 4. Let u be v(5). Suppose -3*x + 4 = w + w, 0 = x + u*w + 12. Suppose y = -4, x*c - 144 = y - 3*y. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49448179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 5*y - 12*y - 2 as j*y + b and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/10)\/(12\/60). Is (-16 - -13) + 4672\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:15 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/64 and 95\/24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/24 - 41*f**5\/12 - 475*f**4\/6 - 490*f**3 - 273*f**2 - 6. Factor l(k).\nAnswer: 5*(k - 49)*(k + 2)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -15*b + 15. Let y = -711\/4 - -172. Is b less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/120)\/(4\/(-30)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 975*w**3 - 22*w**2 + 10*w - 1 wrt w?\nAnswer: 5850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-1217)\/7 + (-266 - (-3506752)\/13188)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25*b**2 - 755*b + 5345. Let n(v) = v**2 + 28*v - 198. Let a(l) = 2*m(l) + 55*n(l). Factor a(c).\nAnswer: 5*(c - 4)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3799 - 1902 - 1897 - 3*b - 6*b**3 + 10*b**2 to g*b**3 + x*b**2 + r*b + f and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 8. Let m be o(-5). Suppose -t + 25 = -i, 2*i - m = -17. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -2*b**5\/15 - 5*b**4\/24 - 10*b**2. Let w be (6\/8)\/(1\/(-8)). Let t(y) = 9*y**2 + 6*y. Calculate w*o(u) - 5*t(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 83\/4. Which is the third smallest value? (a) 0.2 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4220, -8307, -12394, -16481, -20568, -24655?\nAnswer: -28742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 - 44270)\/(8\/(-43520)). What is j rounded to the nearest one million?\nAnswer: 241000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12589*b**2 - 3*b + 3. Let u be f(-7). Suppose -847135 = -4*t + u. Suppose -3*m - 610001 = -8*m + c, -t = -3*m + 5*c. Round m to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-1694)\/(-132))*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3\/2*r**2 + 0*r - 2. Let z(p) be the first derivative of 2*p**3\/3 + 23. What is y(z(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**2 + 16*t**2 + 17*t - 9*t**2 + (4*t + t - 3*t)*(-t + 0 + 0) + 3 - 2*t**2 - 3 + t**2 - 3 + 3 - t + t - 3*t**2.\nAnswer: -7*t**2 + 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - 5. Suppose 0*f = 3*f - l*u - 16, 2*f - 6 = u. Suppose 7 = 5*d - 8, -f*w + 11 = d. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from gpgwgwwwnwwwwfpwwwg.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 - 306*m**3 - 22035*m**2 + 167662*m - 145320 = 0.\nAnswer: -173, -140, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -5*b**4\/6 + 9*b**2 - b. Find the first derivative of c(r) wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 11\/2 (c) 1 (d) -2\/11 (e) 1778\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 39*j + 85. Suppose 3*k + 127 = 121. Let w be c(k). Solve 0 = w*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -182\/9, 0.4, -1, 0.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 0.26, 0.02, -0.3, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d. Let o be (16 + -4)*2\/(-6). Let z(c) = c. Let j(a) = o*f(a) - 24*z(a). Let g be 7\/28 - 10\/8. What is j(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055980 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5*i + 3*i + 16 + 6*i - i.\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 - 69*c**4 - 129*c**3 - 63*c**2.\nAnswer: -3*c**2*(c + 1)**2*(c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(143) + sqrt(143))*4 + sqrt(143) - 5*sqrt(143)*-1)\/(sqrt(891)*1*-1 + sqrt(891) - -2*(1*sqrt(891) + sqrt(891))))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6913922103 and 6?\nAnswer: 6913922109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:42 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3991036*i**4 - 3376855*i**2 wrt i?\nAnswer: 95784864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-1)\/2 - (-6829 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:38 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -34*f**2 - 1327*f - 60. Give t(-39).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 0 = -2*n + 3*n - 1. Let i(h) = -p*h**2 + n - 1. Let z(k) = k. Determine z(i(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:39 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*a**3 - 5*a**3 + 2 + 10*a**3.\nAnswer: 14*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4 - 0. Solve -q*h - y = h, -y = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -700, -2\/13 in ascending order.\nAnswer: -700, -4, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(98\/(-21))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**10)\/g**10*(g\/g**(-6))\/g*g*((g\/g**(-9)*g)\/g)\/g*g*g)**(2\/51) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9433 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 10 = 2*a, h + a + 5 = 0. Let r(f) = 0*f**2 - 4*f**2 + 3*f**2 - 7. Calculate r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 7. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 1*(-1 - 5). Suppose 2*f + 1 = 5*g + p, -3*f - 24 = 4*g. Let t = 5 + -10. Which is the second biggest value? (a) -1 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3, 5*p = 5*l - 20672 + 1207562. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 + (-2)\/(-1). Let l(s) be the first derivative of -38333*s**3 - s**2 - 5. Let x be l(d). Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 + 0 = 0. Let o be (-25)\/6*(-6)\/4. Let h = o - 7. What is the second smallest value in r, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 69 - -57 - 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.909 minutes to seconds.\nAnswer: 8754.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3\/2*q**2 + 45 + 8\/3*q**3 + 3\/2*q**4 - 1\/6*q**6 + 0*q + 0*q**5. Factor u(j).\nAnswer: -j*(j - 3)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 - h - 2. Let b be p(-8). Suppose 3*k - 25 = -2*m, -3*k - 5*m + 16 = 3. What is the common denominator of (1\/k)\/((-6)\/b) and 1\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - r - 2*r**3 - 618 - 1104*r**4 + 167*r**4 - 475*r**4 wrt r?\nAnswer: -16944*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 5:57 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-3)\/165753). Let g(p) = 70*p + 140. Let j be g(-2). Suppose j = o + 5*o - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 136256.\nAnswer: 953792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -5)*(102\/5 + -20). Factor 3\/2*y**f - 9\/2*y + 3.\nAnswer: 3*(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113765742 is divided by 699?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125991 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 6. Let f = 6 - 3. Suppose -4*l = 3*c - f, 4*c + 8 = -4. Solve -g*d + 0*y - 2*y - 2 = 0, 2*d + y = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43331, 173618, 390801, 694910, 1085975, 1564026, 2129093, 2781206?\nAnswer: 3520395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 4652 = 20*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*-10*(-4)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + (sqrt(11) - sqrt(11)*-2))**2*-1 + 4.\nAnswer: -197 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0694 - 0.3306. Put m, -0.5, -1\/4 in descending order.\nAnswer: -1\/4, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbr when three letters picked without replacement from pqbbbbbrbqbbb?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*d + 384*d = 3*n - 11736, 2*d - 7820 = -2*n. List the prime factors of n.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 9:46 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 + 3*y**2 + 5*y + 2. Let s(w) = 3*w**3 + 2*w**2 + 3*w + 1. Let q(c) = 3*b(c) - 5*s(c). Suppose -4 = -4*f - 0. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2253*-11485.\nAnswer: 25875705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113105.9228667 + 2669.1744967. Let m = p - -110438. Let g = -1.25 + m. Round g to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -233, -350?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.44, -213015, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (9 - (3 - 2)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424282?\nAnswer: 2, 212141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126684, 126681, 126676, 126669, 126660?\n\"Answer: -i**2 + 126685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-9)\/2. Let c be (-50)\/90*w\/(-10). What is the nearest to -3 in -1\/3, c, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -36. Suppose -c = -2*y - 11, 4*c + i*y - 24 = 3*y. Solve -c*x = 4 + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose 19 = -3*i + 5*t - 1, -5*i + g*t = 12. Let d be 0\/(-2 - -4 - i). Solve -5*b = w - d*b - 22, 2*w = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7224 and 4452.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7534, -15070, -22606, -30142, -37678?\nAnswer: -45214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32562 + 626*a**2 - 32562 + 2*a - 2*a - a**2 + (0*a**2 - 3*a**2 + 5*a**2)*(-1 + 0 - 1) - 2*a**2 - a**2 + 4*a**2 + (1 + 3 - 1)*(3*a**2 - 6*a**2 + 4*a**2).\nAnswer: 625*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 44 - 44.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 205374930 to the nearest 100000.\nAnswer: 205400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 8. Suppose -j + x = j. Suppose 5*f + 20 = -p, -5*f - 6 = -2*p + 29. Solve -j*z - p*u = z - 40, 5*u = -4*z + 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146\/2109 + 4\/111. Is o < 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1520 + 1619. What is the remainder when v is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*o*w - 14*g*w**3 - 2*g*w + 3*g - 3*o*w**3 - 27*o*w**2 - 8*o wrt g.\nAnswer: 5*o*w - 14*w**3 - 2*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356, 347, 338, 329, 320, 311?\n\"Answer: -9*s + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 19*z**3 + 4 + 2 - 99*z**3 + 0 in the form t*z + c + p*z**3 + h*z**2 and give p.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057)*-3 + 4 - (0 + 4*sqrt(2057))) + 1)*-4*-1*6)**2.\nAnswer: -443520*sqrt(17) + 58071168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/12 + 1226*g**2. Let n(a) = -3 - 4*a + 3. Calculate q(n(l)).\nAnswer: 80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-8)*(-4)\/3. Let r = 0.1 + 8.9. Let k = r - 8. Which is the closest to k? (a) u (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23107, 65716, 136731, 236152, 363979, 520212, 704851?\n\"Answer: 14203*j**2 + 8904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135897, -135901, -135903, -135903, -135901, -135897, -135891?\nAnswer: -135883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/66 and 101\/3814338.\nAnswer: 3814338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18676 - -1.81324. Sort -4, 1, n, 44\/5, -1 in descending order.\nAnswer: 44\/5, n, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82988.7 rounded to the nearest one thousand?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 20684*f + 663. Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1296 = 3*c. Let w = -182 + c. Calculate the common denominator of -101\/12 and w\/(-28) - (-4 + 4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498278 (base 13) to base 8.\nAnswer: 6555752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, d: 3}. What is prob of sequence djjd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -1199.21?\nAnswer: 1201.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8126 is divided by 810.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 25. Let d = v + -6. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -6101*g**3\/3 - 6242*g**2 + 11738. What is the second derivative of d(a) wrt a?\nAnswer: -12202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/6 + 2*m**2 + 4*m. Let z be x(0). Suppose 4*a + 5 = -y, 3 = y - z*a - 0. Let g(p) = -2*p - 1. What is g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3881184 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -30.328?\nAnswer: -3.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63375828 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37924 and 1539?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 3. Let k be 4 - 2 - 7 - -3. Let g(w) = w + 1. Calculate k*n(r) - 5*g(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - y + 8, -130*m - 16 = -132*m + 2*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o**2 - 901*o**2 - 544*o**2.\nAnswer: -1358*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 2. What is j(-9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7204 divided by -11\nAnswer: -7204\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19477 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:41 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111331253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/6 - 3583*x**2\/6 + 238151*x\/6 + 3054535\/6 = 0.\nAnswer: -11, 79, 3515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196\/9 - 1\/9*h**2 - 28\/9*h = 0. What is h?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-1)\/2 - -3). Solve 6*q = q + 5, -5*s - 5*q = -r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:46 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 236*(-4)\/3200 - 1392\/(-3712)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)*-1 + sqrt(88))\/sqrt(8)*6.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 8 = 284. Let g be (-3)\/(0 + -1) - 141\/f. Is -1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-3)\/(-8)*1). Suppose -c = -3*v + 15, -1 = -3*c + i. Let g(f) = f**3 + 6*f**2 + 3*f - 3. What is the remainder when g(-3) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6*w + 0*w = 0. Solve 3*d = p + 7, -2*d - 4*p + 5*p + 5 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959624?\nAnswer: 2, 119953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-3 - 11)) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 322213?\nAnswer: 322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -42*h**2 + 7. Let q = -581 - -579. Let g(f) = 13*f**2 - 2. Let z(u) = q*i(u) - 7*g(u). Let k(y) = -10*y**2. Determine z(k(p)).\nAnswer: -700*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 2:47 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3259 + 3264. Solve 3*y - 9 = 3*x - 0*x, 0 = -x - a*y + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmnnnznpnmmnzmmmm. What is prob of picking 1 m, 1 z, and 1 n?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423 and 12315?\nAnswer: 1736415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 796783451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 451430414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - f**2 - 2*f)*(0 + 0 - 2) - 14*f + 14*f + 16*f**2 + 42*f**2 + 1449*f - 1449*f to q*f**2 + z*f + v and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 - r + 2. Let f be a(-2). Let o be (-16)\/36*(-9)\/2. Let g be (2*o\/8)\/((-1)\/(-8)). Solve s = 4*b + 2, 0*s - f*b - g = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614\/7 + (-3)\/63*-6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 62. Let j(i) = -i + 5. Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352\/308)\/((-320)\/(-112)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-156) + 40\/(-260)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31839744.\nAnswer: 2, 3, 19, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 81*l - 216.\nAnswer: -3*(l - 24)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108*4221.\nAnswer: -455868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/(s\/(s\/(s**(-17)*s))*s))\/((s\/(s**(2\/63)\/s*s)*s)\/s**(3\/2)))**(-37) assuming s is positive.\nAnswer: s**(-39775\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = -25. Let l = 1 - h. Suppose 2*p - v = 15, 5*p = -l*v + 2*v + 5. Solve -p*j - 35 = -4*u, -u - j = -2*u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 + 2.2. Let l(b) = -b**3 + 13*b**2 + b - 16. Let i be l(13). Let q = 233 - 232.8. What is the closest to s in q, 13, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/6 + 36195\/90. Let h = p + -404. Let s(w) = 2*w**2 - 10*w. Let c(r) = 2*r**2 - 10*r. Calculate h*c(o) + 3*s(o).\nAnswer: 2*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsxd when four letters picked without replacement from xddxdxxsxxdaa?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1 (b) 65\/2 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 - 284*i**4 + 712*i**3 + 9464*i**2 + 8508*i - 18396 = 0. What is i?\nAnswer: -73, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:46 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 2 + f + ((-2 + 2 + f)*(7 - 3 - 2) + 3 - 3 + f)*(0 + 2 + 0) - 600*f + 294*f + 283*f to t + o*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z + 0 - 4*z**3 + 1\/3*z**4 - 30*z**2. Let p be k(3). Solve 4*y + 3 + 9 = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 409*u - 3*u**2 - 199*u - 215*u + 3*u**2 + 4*u**2 - 5*u**2 + u**2 + 0*u**2 + 0*u**2 + 2*u**2 + 0 + 0 + (-u - 1 + 1)*(1 + u - 1) + 2*u**2 - u + u.\nAnswer: 3*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 3:26 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-4)\/1 + -2. Let s be (2\/y)\/(343\/3). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 444 = 31*f. Let i = f + 220. Let t(x) = 6*x**3 + 2*x - 1. Let y(v) = -7*v**3 - 3*v + 1. What is i*y(m) - 3*t(m)?\nAnswer: -4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let o(l) = -l**3 - 9*l**2 - 7*l + 8. Let s be o(-8). Suppose 3*i - 2 + s = -t, t + 2*i = 1. Put -3, n, t in decreasing order.\nAnswer: n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-14 - -13 - (-9 - -2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:30 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-8 - -1) - -13\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 533 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80 and 6.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191547458 - 300.\nAnswer: 191547158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692946, 692934, 692922?\nAnswer: 692910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdsd when four letters picked without replacement from jeeejdjjsjjdedjssdj?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 0 + 21. Find f, given that -2\/9*f**h - 2\/3*f**2 - 4\/9*f + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 2455, 5479, 9713, 15157, 21811, 29675?\nAnswer: 38749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-12)*g))\/(g\/(g\/g**(-4))*g))\/(g**(-1\/5)*g\/g**1) assuming g is positive.\nAnswer: g**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 13.9. Let q be (-23)\/(-4) - 3\/(-12). Let t be ((-2)\/12)\/(q\/(-18)). What is the third smallest value in -0.5, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 21 = 3*l, 2061 = -l - 4*c + 2083 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -36.5. What is the biggest value in y, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000883463 rounded to 6 decimal places?\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21204.81142 - 20.\nAnswer: -21224.81142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/96 - 23*f**3\/12 + 529*f**2\/4 - 120*f + 54. Let m(w) be the first derivative of j(w). Solve m(p) = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 130, 138, 150, 166, 186, 210?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 139862475*k + 139862472.\nAnswer: 3*(k - 46620824)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18538908, 37077825, 55616742, 74155659, 92694576, 111233493?\nAnswer: 129772410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.7 * -60.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/64920 and -39\/143365.\nAnswer: 3440760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3762, -3763, -3764?\nAnswer: -3765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 68, -7 in ascending order.\nAnswer: -15, -7, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 519280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2445, 24759, 85339, 203319, 397833, 688015, 1092999?\n\"Answer: 3189*l**3 - l**2 - 6*l - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w - 173 = 0, h + 153 = w - 2*w. Is h\/2*((0 - -2) + -8) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 18. What is the units digit of y(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t\/(t\/(t\/t**34)*t)))*t\/t**17)**(-41))**(-1\/3) assuming t is positive.\nAnswer: t**(-697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 - 17*h**5 + 8*h**2 - 2*h.\nAnswer: -120*h**3 - 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -5*b - 5*n + 13, 0 = b + 3*n + 5. Let c = -41 - b. Is c at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68, -0.17, 1.7, 3, 0.2, 2\/9, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from uofoffffofffsofof.\nAnswer: 25\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let q = 13.7294 - 13.5294. Which is the nearest to t? (a) q (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15127 - 10551. What is the greatest common factor of k and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5066*h**5 + 66*h**2 + h - 1?\nAnswer: -303960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138)\/12 - (-8 + -3). Which is the smallest value? (a) -5 (b) 2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (1 + (6\/7)\/((-4)\/28))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 - 468*d**3 + 1380*d**2 - 1372*d + 456 = 0. Calculate d.\nAnswer: 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*j**5 - 38*j - 5 wrt j.\nAnswer: -4400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23156 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*w - 4*w**3 - 7336 - 140*w + 3675 + 3661.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*r**2 + r + 1 - 2 - 126*r**2 - 18*r as k + q*r + a*r**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 48 = 49*p + 904. Solve -p*v + 78 = -92 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -103, -112, -227, -448, -775?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336813020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.43853 meters in micrometers?\nAnswer: 15438530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62 - 104 + 42 + 12*p**3 - 257*p**3 wrt p.\nAnswer: -735*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564210 (base 7) to base 15.\nAnswer: 446e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -0.4, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 12 = -45*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94722855 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-9)*r)\/(r*r*r**(-4)))\/(r**(-2))**(-2))\/(r**(-8)\/(r\/(r\/(r\/(r\/(r**(-2\/5)\/r)))))*r**(-5\/3)*(r**(1\/2)*r)\/r) assuming r is positive.\nAnswer: r**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32430812, -129723234, -291877270, -518892920, -810770184, -1167509062?\nAnswer: -1589109554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1345\/(-538)*2\/(-5)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = 3*y. Which is the nearest to 2? (a) y (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89272 is divided by 558?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2903*d**5 + 4 + 502*d**5 - d - 6 - 999*d**2 wrt d.\nAnswer: 204300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11)*-1 + (-2544)\/(-198) + -13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 7 = 6. Sort 1\/21, 0, b, -0.6 in increasing order.\nAnswer: -0.6, 0, 1\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 + -369. Find the second derivative of 12*v**4 + v**3 - 380*v + v**a - v**4 + 392*v wrt v.\nAnswer: 132*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 - 412. Suppose -55 + r = -x. Let q = 255 + x. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:01 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -4. Let u = -1 - r. Let v be (108\/9 - 3) + -5*1. Solve -v*x + i + 17 = 0, -2*x - 3*i - 8 = u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163997139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 313 = 52. Let x = v + 126. Suppose 20 = 4*m, 3*f - 5*m = -0*f + x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 2 + 25 + 10*p - 29*p.\nAnswer: -2*p + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.028, 1\/4, -12040, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let b(p) be the second derivative of 9*p**6\/80 + p**5\/120 - 68*p**4\/3 + 250*p. Let r(y) be the third derivative of b(y). Calculate r(t(s)).\nAnswer: 162*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*y + 5*x - 31, y = -4*x + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 5*v**2 + 1 - 2 - 2*v**2. Let i be x(1). Suppose 2*h = i*k + 4 + 2, 10 = -5*k. Which is smaller: 2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -104. Suppose 0 = -3*n + 2*r + 38, -14*n + 10*n = r - 69. Calculate the least common multiple of c and n.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 4*y**2 + 28. Determine m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/258 - 3959\/774. Calculate the common denominator of -119\/20 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**2 + 0*o)*(91 + 173 - 59)*(-4*o - o + o).\nAnswer: 820*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m + 10. Let d(t) = t - 1. Let u(r) = -10*d(r) - p(r). Let z(a) = -2*a**2 + 49. What is z(u(g))?\nAnswer: -8*g**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-6)*2 - 2. Let l = -51 + 72. Calculate the remainder when 41\/2*(z - -15) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**3 + 71*g**3 - 2*g**3 + 194*g**3 + 51*g**3.\nAnswer: 298*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 3\/38 (c) -0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2587, 2585, 2581, 2575, 2567, 2557?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 188*b**2 + 12077*b - 37. Determine g(-64).\nAnswer: -2917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10808 and -125\/8106.\nAnswer: 32424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + (-11907)\/(-351) + -23. What is the nearest to 3 in -1, k, -3\/4, -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030130334 (base 5) in base 16?\nAnswer: -2174d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*g + 179*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - 3*v + 15, -18 = 4*u - 2*v. Suppose 2*g + 0 = 52. Let o = u + g. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y**2 - 26*y + 130. Let r(u) = -2*u**2 + 3*u - 15. Let c(k) = -52*r(k) - 6*v(k). Let g(l) = 122*l**2. Determine g(c(x)).\nAnswer: 1952*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 4. Determine b(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -160, -357, -616, -925, -1272?\n\"Answer: 2*q**3 - 49*q**2 + 10*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -2, 3, 5, 7, 0 in decreasing order.\nAnswer: 7, 5, 3, 0, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 252\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 25*p + 46. Let m be w(-2). Is m at least as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*c - 6 + 5 + (-2 - 4 + 4)*(-3 - 14 + 5)*(0 + 0 + c).\nAnswer: 27*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, 21, -0.387, -0.3, 3 in increasing order.\nAnswer: -0.387, -0.3, -1\/16, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:41 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 13. Suppose m + 2 = 4. Suppose -3*z + 28 = -r - 3*r, m*z - 11 = -5*r. Solve f*g + z = -2*u, u + g = 4*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5168052?\nAnswer: 2, 3, 89, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535121 times -3?\nAnswer: -1605363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/135*10 - 2\/9\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/(-384) + (-31506)\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(2 - 5\/2). Let h(n) be the third derivative of 0 - 40*n**2 + 0*n + 0*n**3 + 1\/60*n**6 - 1\/6*n**4 + 1\/20*n**5. Determine h(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 102?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3739 (b) -0.23 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, -22*s + 4*u = -21*s - 5343. What are the prime factors of s?\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 62120.\nAnswer: 372720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 973.7 + -973.2. Which is the closest to 0? (a) 0.1 (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3606 divided by 2\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 31*z**3 + z**2.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((-12508)\/(-64130))*2*(-2)\/(-10)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 193611 = 193612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and 97\/(-72)*60\/80?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*p**2 - 115*p**2 - 138*p**2 - 185 to y*p**2 + f*p + v and give v.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127250367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*s + 8*s - 5048764. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*l - 3*i, -5*l - 1067*i + 1063*i + 6 = 0. Put -10, -5, l, -1 in descending order.\nAnswer: l, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x. Let u = -1 + x. Is (u + 0)*1 - -22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23. Suppose u*n + 6*n - 18 = 0. Let i = n + 4. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 657, 616, 545, 438, 289, 92, -159?\n\"Answer: -w**3 - 9*w**2 - 7*w + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 0 + 0 + (q**3 - q**3 - q**3)*(-2*q**2 + 2*q**2 - 10*q**2).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 3*i**2 - 3*i + 6. Let w be f(3). Let s = 42 + w. What is the remainder when 23 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 198, 4*d + 24764 - 24734 = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -43. Let m(w) = w**3 - 9*w**2 - 10*w - 2. Suppose 5*g + 20 = 70. Let d be m(g). What is the second biggest value in h, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/((-1 - 1)\/(-4)). Let g be 4\/16 - s\/8. Let n = 6 + g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47744997 and 5.5337.\nAnswer: 47745002.5337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13613661 rounded to the nearest 100000?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(6\/10*(-8)\/24). What is the second biggest value in q, -1, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + z**3 + 4*z + (2*z - z - 5*z)*(z**2 - z**2 + 2*z**2) + 51*z - 51*z + 27*z**3 in the form j + k*z**3 + v*z**2 + x*z and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13472\/2432*20\/74. Let d = a + 2\/703. Put 0.4, d, -4, -193 in decreasing order.\nAnswer: d, 0.4, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/58 and -151\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (33 - (33 + -21)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 200. Let z = -6 - g. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 7*z - 1. Let k be d(7). Let w be (-4 - -4)\/(1 - k). Suppose l - c + 1059996 = w, -5*l - 5299984 = -2*c - 2*c. Round l to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2)\/3*3. Let v(c) = c**2 + c - 1. Let f be v(-2). Let b be (0 + 2)*2\/f. Put l, b, -3 in descending order.\nAnswer: b, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/75 and -24\/124495.\nAnswer: 1867425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 - 7*y + 18. Let i(d) be the second derivative of d**4\/3 + 7*d**3\/6 - 8*d**2 - d + 4. Let c(r) = -6*i(r) - 5*n(r). Factor c(h).\nAnswer: (h - 6)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 958*l**2 + 4*l + 53 wrt l?\nAnswer: 1916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69f (base 16) to base 7.\nAnswer: -4641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 743701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 100\/4 - 0 - 2\/1. What is the highest common divisor of 161 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9824 - -767.8676. Let i = c + -771.85022. Let t = -2 - i. What is t rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g - 3*n + 495, 3*g - n - 355 = 0. Calculate the greatest common factor of g and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 + c + 1. Let n be k(-1). Suppose 2*h - 5 = 1. Suppose -h*o + 15 = -2*o. Solve -3*g - g + 4*a = 0, n = 5*a - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(7) - sqrt(14)\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8.032. Let q = m - -7.268. Let v = -7 + q. What is the closest to -1 in v, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 27*b**2 - 36*b + 1. Give q(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (-1 + -1 + sqrt(162) + sqrt(162)))*3 - (1 + sqrt(162)*-1*-1))**2*-6.\nAnswer: -15702 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let d(j) be the second derivative of -5*j**3 + 47*j. Calculate q(d(m)).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (21\/14*2\/6)\/(40\/3910*-23)\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-15) + 808\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + 120\/70. Suppose -w = 2*w - 3*h + 3, -h = -3. Let l be (1 - -1) + (0 - -26). Solve -4*m = -w*r - l, -j*m + 10 = r + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 12*q**2 + 10*q - 8. Let l = -9 + -2. Let h be y(l). Factor -x**3 + 6 + 3*x**3 - 2 + 0*x**h + 8*x**2 + 10*x.\nAnswer: 2*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3565\/403 - 2\/(-13). Suppose -c = t - 12. Suppose t*g - 76 - 17 = 0. Calculate the highest common divisor of 31 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2787550436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 314*i**3 + 928*i**2 - 616*i.\nAnswer: 2*i*(i - 154)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*z**2 + 54017*z + 14727.\nAnswer: (6*z + 4909)*(11*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-94 + 4 + -5). Let o = a + -541. What is the tens digit of 10\/45 - o\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 11*h**2\/4 - 15*h\/4 + 27\/4.\nAnswer: -(h - 1)*(h + 3)*(h + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 18648, 3, 1 in ascending order.\nAnswer: 1, 3, 16, 18648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, j: 1, q: 1, x: 9}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Suppose 2*o + t + 0*t = 11, 5*o + t = 26. What is the nearest to 1 in 3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -287787, -287786, -287789, -287796, -287807, -287822?\n\"Answer: -2*u**2 + 7*u - 287792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3400433445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 770 + -751. Solve r*j = 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 5*b + 4. Let o be k(-7). Let a be o\/7 + (-6)\/(-24). Let l = -10\/7 - a. Is l greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*n = -7293 - 2279 - 24877 - 23862 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 4*z**2 - 4*z + 1. Let c(q) = -8*q**2 + 29*q - 29*q - 4*q**3 + 2 - 11*q + 2*q. Determine 4*c(a) - 9*n(a).\nAnswer: 2*a**3 + 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*x - 3 + 8*x + 5*x)*(-18 - 6 - 5)*(0 - 2 + 3 + (-2 + 5 - 2)*(-1 + 1 - 1) - 3 + 4 - 2) to the form a*x + b and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let n(s) be the second derivative of s**3\/6 + s**2 - 2*s. Let p be 4 + (-1 - -1)\/1. Let x(d) = d - 14. Let i be x(15). What is i*n(k) + p*m(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 7750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/6 - 1503*q - 332297\/6 = 0.\nAnswer: -8981, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4027157 - -0.4033. Round f to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020436431 rounded to five decimal places?\nAnswer: -0.02044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r + 16. Suppose -2*n + 10 = 3*y, 16 = 2*y - 0*n - n. Let c be x(y). Put -3, 1, 4, c in decreasing order.\nAnswer: 4, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 8*c + 16. Let j = -22 - -29. Let s be h(j). What is the greatest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2867341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 361040377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let w = n + -4.5. What is the second biggest value in w, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -64 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 410870219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 3) + (51 - 32) + 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4*x**2 + 6*o**2 - 2*x**2 + 23*x wrt o.\nAnswer: 12*o**3*x**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106.127196 + 209.448613. Let m = i - -5.674703. Let b = m + -109. Round b to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let j(g) = 42531*g**2. What is b(j(v))?\nAnswer: -127593*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.6131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-162108)\/3861 + 25?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Let m(v) = -1 + 3*v - 4*v + x*v + 0*v. Suppose -3*t + 15 = -5*j, 4*j = 12*t - 13*t - 12. Let i(r) = 1. Calculate j*i(s) - 2*m(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-30)\/(-112))\/(34\/(-119)) and -123\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*l**5*t + 2*l**4*t - 23*l**3*t + 105*l**2*t - 2*l**2 + 2*l wrt l?\nAnswer: -5460*l**2*t + 48*l*t - 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.618253 rounded to three decimal places?\nAnswer: -0.618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62\/5 - -58\/5. Let f = 296\/715 - 2\/143. Which is the third biggest value? (a) z (b) -5 (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -366 in decreasing order.\nAnswer: 3, -3, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 41. Let l be m(0). Suppose 95 = 5*w - 2*s, -3*w + 4*s = 6*s - l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1015*d**3 + 0*d + 0*d - 1686*d**3.\nAnswer: -2701*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*h*i**3 - 4*b**2*h*i + 3*b**2*i**3 - b*h*i**2 + 5*b - h*i**3 wrt b?\nAnswer: -2*h*i**3 - 8*h*i + 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 1 n when three letters picked without replacement from {o: 7, n: 2, t: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s + 2. Let d be u(1). Suppose -4*b - x - d = 0, -3*b + 0*x - 8 = 2*x. What is the nearest to b in -0.6, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let q(c) = -63812*c + 1. Determine q(p(a)).\nAnswer: 63812*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133670318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5001 + -4904. Solve 0 = 98*p - u*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*q + 6 - 36. Solve 0 = -5*t - 3*f + 35, -7 = q*f - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.72 + -18.72. Which is greater: 0.07 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, -4, 0.012, 3, 1\/7, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) + 200\/8. Suppose 2*d = 4*r + 36, 5*d - 5*r = -0 + 110. What is the greatest common divisor of d and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c. Let w(h) = -8*h + 1 + h + 2*h - 4*h. Calculate f(w(u)).\nAnswer: 36*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 18*u**2 - 4*u. Let i(o) = 35*o**2 - 8*o. Let a(t) = 3*i(t) - 5*l(t). Find the second derivative of a(x) wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 6, 3*j = -3*h - 3. Let w = 14 + -9. Solve h = -4*v - 25 + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559710681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -6*f + m - 3, 6 = 5*m - 12 + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, 4 in descending order.\nAnswer: 21, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (1 + (-6)\/(-3)). Suppose -133 = -4*c + 3*y - 6*y, -k*y + 170 = 5*c. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9875)\/22100 + 4\/(-272).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((sqrt(57)\/sqrt(3)*4)**2 + 1 - (1*sqrt(171)*-2)\/sqrt(9)).\nAnswer: -305 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -1\/40*y**5 + 0*y**4 + 0*y**3 - 3*y**2 + 0*y - 1\/160*y**6 + 0 + 1\/448*y**8 + 1\/140*y**7. Determine q so that s(q) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13002 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2854 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/24)\/(1\/2). Let y be ((-5)\/(-21))\/((-13)\/(-39)). Let u = y - 1. Put f, 1\/5, u in descending order.\nAnswer: 1\/5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -10. Let l be 324\/(-486)*(-12)\/28. What is the closest to -3 in 9, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60740424 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/3464532 and -151\/138380.\nAnswer: 190549260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*x - 179, 2*x = -h - 3*x + 185. Suppose 6*i = 11*i - h. Suppose i = 3*f - 28. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1125487.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -4 (c) -0.044 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**3 - 99*g**2 - 8*g + 10. Give f(7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -0.037427214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6*11135\nAnswer: -66810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7325*x**3 - 12*x**2 + 16*x + 128. Let k be r(-16). Round k to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 - 2*k + k**2 + 10 + 15*k**3 - 9*k**3. Suppose 6*x - 4*x = 0. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 6*g + 3. Suppose 5*d - 3*d + 8 = 0. What is the smallest common multiple of s(d) and ((-2)\/(-3))\/(1\/3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13234 + 13235. Let n = -22 - -12. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8679\/(-1243) - ((2 - 124\/14) + 54\/(-378)).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3446007l to millilitres.\nAnswer: 344.6007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2169 and 5350612833.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31079528.\nAnswer: 2, 577, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1 - (3 - 2)). Suppose d = i + 3*z - 42, 2*i + z = -i + 150. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 313839, -4 in descending order.\nAnswer: 313839, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19.1*-25\nAnswer: 477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 178, 316, 472?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 4\/(-1). Let b be -3 - (-4)\/(q\/(-83)). What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2580 + -2539. Solve -o + 3*b = g - 43, 2*b = 2*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223.3 + -223. Let w = -0.22 - 0.18. What is the second biggest value in w, q, 0.2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -241*q - 26954. What is b(-112)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 46700.72.\nAnswer: 46697.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1887410 and 52\/242667.\nAnswer: 16986690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11617 - 7367 = -4*m. What are the prime factors of m?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + ((-6)\/(-4))\/((-45)\/(-120)). Solve 4*n + 4*i = 24, -6*n + 18 = -n + o*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2530 = -211*n - 1386 + 329 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -154. Is 11 a factor of -1*(24\/t - 484)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (24 + -3)\/3. Let f(s) = s**3 - 7*s**2 + 7*s - 7. Give f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2943 + 2939. Which is the nearest to -2\/3? (a) 66 (b) -2 (c) r (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v. Let q = 4 + -2. Suppose -2*s + s = -q. Let t(f) = -3*f**s + 0*f**2 + 2*f**2. What is j(t(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*v = z + 30, 269*z - 50*v - 3770 = -51*v for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-4*6 - (-3 + sqrt(700) - sqrt(700))*1)*5)**2.\nAnswer: -36000*sqrt(7) + 10080225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 979628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h, 0 = 3*y + 15*h - 12*h - 303. Suppose y*x = 86*x - 4108000. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9109617.\nAnswer: 3, 11, 276049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.8 - 52. Let c = -8.7975 + f. Let k = -2 + c. Round k to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818 a factor of 41589015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36200 divided by 2\nAnswer: -18100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q**3*q)\/q**(-14))\/(q**(-3\/4)\/q**(-2\/7)))**(-10\/7) assuming q is positive.\nAnswer: q**(-3005\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -19*z + 135. Let w = z - -27. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 40*f**2 + 61*f + 874. Let y be i(-38). What is the greatest common divisor of y and 760?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 7, r: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41115036?\nAnswer: 2, 3, 47, 269, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/w*w*w)**(-3\/7)\/(w*w\/(w\/(w*w**(2\/11)*w))*w*w*w*w**(1\/19)*w) assuming w is positive.\nAnswer: w**(-79731\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7617993?\nAnswer: 3, 19, 133649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/40*((-138)\/(-253))\/(63\/616)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w + 27. Let q be p(-3). Suppose 4*v - 56 + 48 = q. Factor 1 - 17\/2*d + 22*d**3 + 25\/2*d**v.\nAnswer: (d + 1)*(4*d - 1)*(11*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 72. Let n = 2 - -5. What is the remainder when ((-16)\/(-3))\/a*(-117)\/6 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, 1, -5?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/3)\/(109 - 111)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176174727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8694 - -8687.4815. Round f to 1 decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305563 is divided by 305391.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006418 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(22\/5))\/(d\/(d*d\/((d\/(d**(-5\/7)\/d)*d)\/d))) assuming d is positive.\nAnswer: d**(-179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)\/f*f*f**(-4)*f*f)\/(f**(-2)\/(f\/(f*f**(2\/5)))))**(-2\/23) assuming f is positive.\nAnswer: f**(19\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 27 - 27)*(59*t**4 + 14654*t**2 - 14654*t**2).\nAnswer: 354*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -7*h - 36. Which is greater: 55\/2 or h?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o**(-5))**11 assuming o is positive.\nAnswer: o**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2443*s + 171 + 4885*s - 2444*s)*(3*s**3 + 0*s**3 - 4*s**3).\nAnswer: 2*s**4 - 171*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 524281 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let s be 2*((-6)\/4 + 0). Let h be y(s). Solve 4 - 16 = -3*i - h*v, -i - 2*v + 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q**3 - 3*q**2 - 2*q + 2. Let u(h) = h**3 - h**2. Let s(a) = -r(a) + 4*u(a). Let c be s(1). Let d = 42 + c. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + (-40)\/(-4))\/(1\/19). Let o = 67 - g. Solve y + 0*y + o = -5*n, 6 = -3*n + 2*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from ssscscssss.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1584651 and -0.35.\nAnswer: -554627.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2257, 1997, 1527, 847, -43?\n\"Answer: -105*r**2 + 55*r + 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26424 and -20615999599.\nAnswer: -20616026023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*b - 230, -107 = 4*b + 2*t + 67. Let a = b - -83. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 100.9322692?\nAnswer: 100.8822692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -838, -844, -856, -874, -898, -928, -964?\n\"Answer: -3*i**2 + 3*i - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:22 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3901502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1535753.71 to the nearest one hundred.\nAnswer: -1535800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 180 = -2*q + 5*z, 5*z = -3*q + 100. Suppose -35*c + q*c = 0. Solve c = m + 4*m + 3*l - 8, 3*m = -3*l + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/11 - 6029*w\/11 - 548 = 0. What is w?\nAnswer: -6028, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**4 + 20*u**3 + 44*u**2 + 4*u. Let z(q) = -q**4 + q**2 - q. Suppose 8*p - 6*p + 24 = 0. Let w(j) = p*z(j) + m(j). Factor w(f).\nAnswer: 4*f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 15 + 1. Suppose 4*f - 42*f**2 - 6*f + g*f**2 + 20*f**2 = 0. Calculate f.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -19. What is the common denominator of p and 87\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -4\/3, 46?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3209181 by 3209181.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 34*o**2 + 48*o - 242. Determine b(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*v + 3, -4*v + 10 = 5*s - 4. Let w be 0*(2 - 5\/s). Solve 3*j + 2*b - 14 = w, -j = -b - 3*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5144, -21236, -48022, -85502, -133676, -192544?\nAnswer: -262106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 165*x + 93. What is a(1)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242645.8 millilitres to litres.\nAnswer: 242.6458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) -80 (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:54 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/15)*l*l))**(23\/4)*l**23*l*l**(-8\/3) assuming l is positive.\nAnswer: l**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 0 - (-33 + 19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119605 is divided by 1661?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -46. Let o = b + 2.4. What is o rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9154.913ml to litres.\nAnswer: 9.154913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/2 - 6. Let z(h) be the first derivative of -5\/2*h**2 + 4*h + 2 - 1\/3*h**3. Calculate z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g - 32111 + 32375. Suppose -r - j + 124 = 0, -3*r - 2*j + 392 = -4*j. Calculate the remainder when r is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 16. Let h be l(8). Solve 0*i - i - 4 = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 24 = -9, 14 = j - 3*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 109*n - 1382*n - 343*n - 3*n**2.\nAnswer: -3*n**2 - 1616*n - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13989.\nAnswer: 3, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 462 - -2 - (0 + -2 + 0). Suppose -4*n = 3*a - u, -5*n + 5*a - 288 = -853. What is the tens digit of (-3)\/(-6)*(n + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/5 + 18*h**4\/5 - 54*h**3\/5 + 46*h**2\/5 + 48*h\/5 - 72\/5 = 0. What is h?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let g(p) = -2*p - 383. Let s(a) = 138. Let i(u) = g(u) + 2*s(u). Determine i(d(x)).\nAnswer: -2*x - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -311615552 = -311615551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170432 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32112 (base 4) in base 10?\nAnswer: -918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36493\/820 + -52\/205. Let d = 123\/4 - v. Let n = 55\/4 + d. What is the second smallest value in 1, -2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1 (b) -22 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -405.32 rounded to the nearest integer?\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2737, -5452, -8197, -10978, -13801, -16672?\n\"Answer: -l**3 - 9*l**2 - 2681*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 + 4 - 1 - 1372*v**3 - 8)*(-15*v + 70*v - 120*v) to n*v**3 + i*v**2 + y*v**4 + x*v + q and give y.\nAnswer: 89180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/5)\/(26\/(-65)). Solve -4*r + 23 = s*k, -14 = 5*k - 5*r + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 34*y + 1871. Calculate p(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a + 1. Let h be (-5 - (-8 + (-10)\/(-5)))*2. Let v(s) = -4*s**3 + 2*s - 2. Calculate h*d(c) + v(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1506662 - 432?\nAnswer: 1506230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002610407 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 90857220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 717?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28566907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(36)*1)\/sqrt(3))\/sqrt(6) + (-4 + sqrt(32) + sqrt(64)\/sqrt(2))**2 + -3)*-6*6.\nAnswer: -5076 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -14 + (110 - 103) + (3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4122, 4153, 4184, 4215?\nAnswer: 4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-18*32\/(-432)))\/((-1)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -63, -203, -471, -909, -1559?\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - b = 2, 182*j - 183*j + 4 = -b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/5)\/(-1) - -1. Let o be 176\/(-36) + 2 + 9\/(6 - 3). Sort -5, -4, z, o in decreasing order.\nAnswer: z, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -17*b**2\/2 + 4*b - 232. Let l(a) = a + 8. Let s(u) = 3. Let j(o) = -4*l(o) + 11*s(o). Give 9*j(h) - 2*v(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -103336 < -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 215949037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**8\/840 + z**6\/180 - z**3\/6 + z**2. Let t(s) be the first derivative of n(s). Find the third derivative of t(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1174711572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j - 2*j**2 + 16*j - 4*j. Let i(q) = -q - 176. Give i(k(b)).\nAnswer: 2*b**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754970.2t to micrograms.\nAnswer: 754970200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -62. Let t be (-12)\/(-462)*7*n. Solve 2 - 12 = t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.9. Let x = -0.479 - -0.979. What is the closest to m in 1, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in -99, -1\/3, 3?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 30*y + 2. Let f = 2 - -11. Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1892 and 0.0072.\nAnswer: -1891.9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 10. Let h = x + 14. Calculate the lowest common multiple of h and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 12 = -90 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = -3*j - 2, 4*j - 37 = -5*u. Let b be 12\/(-9) - j\/(-9). Put -3, 0, b in increasing order.\nAnswer: -3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(6 - 3). Suppose -b*n - n = -3*z - 12, n = 3*z + 8. Is 8 a factor of -12*n\/(-14)*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26393*g**2 + 26485*g**2 - 2502*g**3 - 52878*g**2.\nAnswer: -2502*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182572 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, q: 1, e: 1, w: 2, c: 1}. Give prob of sequence ua.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t**2. Let q(a) = -15526*a + 3. What is q(g(b))?\nAnswer: 217364*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9718298 and 6790702.\nAnswer: 11006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 0. Let y be (3 - g)\/((-1)\/(-2)). Suppose -3*c = -5*c + y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000730741 to six dps.\nAnswer: -0.000731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78467264?\nAnswer: 2, 19, 173, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (5\/(-8))\/((-280)\/2352).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111\/2 - 52. Is g not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 2. Suppose 0 = -2*q - 0*q. Suppose -o + 0 - 3 = q. Let c be b(o). Solve -z = 4*z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257945949.\nAnswer: 7, 23, 14024509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 29, -0.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1461342 - 32452?\nAnswer: -1524124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1807, 7851, 18155, 32719?\n\"Answer: 2130*p**2 - 346*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5865*8571\nAnswer: -5026.8915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44212 by 5.\nAnswer: 44212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*v**4 + 134*v wrt v?\nAnswer: 792*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*a = g + 103*a - 148, g = -2*a + 152. Solve g - 136 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - 1. Let g(k) = -5*k. Suppose 3*p + 5 - 25 = -4*b, 2*p + 3*b = 15. Let i(t) = t - t + t + p*t. What is z*g(y) - 3*i(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03545 to three dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 5*k = 6*r - 5, -r + 25 = -4*k. Find the second derivative of 8*g + 21*g**r - 9*g + 5 - 6*g**5 wrt g.\nAnswer: 300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31677636.\nAnswer: 2, 3, 19, 138937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 65. Calculate the remainder when (-1)\/(51\/6) + (-421857)\/(-2907) is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5145, 6486, 7821, 9150, 10473?\n\"Answer: -3*p**2 + 1350*p + 3798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/5 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let i(s) = -70*s**2 - s. Give i(u(g)).\nAnswer: -280*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21468023767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*a**5 - 28*a**2 - 171418*a wrt a.\nAnswer: -460*a**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 122*x + 54944. What is b(181)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4314.03 greater than -95\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10621795, 42487148, 95596059, 169948528, 265544555, 382384140?\nAnswer: 520467283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -217*g**2 + 102*g - 5. Let b(p) = 218*p**2 - 79*p + 4. Give -5*b(v) - 4*r(v).\nAnswer: -222*v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s*v*y**2 + 1519*s*v*y + 3*s*v - s*y**2 + 27*v - 6235*y**2 - 10 wrt v.\nAnswer: -s*y**2 + 1519*s*y + 3*s + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 6. Let y be m(-5). Suppose -4*q + 40 = -y. Does q = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2700 and 493776?\nAnswer: 12344400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 956, 1910, 2864?\n\"Answer: 954*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 2301*g**2 - 2303*g**2 - 2*g**3 + 4614*g**2 + 4*g**3.\nAnswer: -g**3 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 49*i - 3957. Give x(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*g + 34, -5*u = -5*g - 21 - 44. Is g\/2*-2*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/((-609)\/(-10962)*9\/(-2))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 13\/5, 1, 0, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -1, -30, -3, -42 in ascending order.\nAnswer: -42, -30, -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2. Let a(m) = -8079*m. Determine a(i(t)).\nAnswer: -16158*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5258325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 35 = -5*x. Factor 10 + 11 - 5 - 44*n**3 - 5*n + 33*n - 12*n**2 - 20*n**x.\nAnswer: -4*(n + 1)**3*(5*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 9 - 3134*-12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/281, -3\/5, -5 in ascending order.\nAnswer: -5, -3\/5, -8\/281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**2. Let t(x) = -7*x**2 + 349551 - 349551. Determine s(t(l)).\nAnswer: 441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.65, -7, 3\/5 in descending order.\nAnswer: 3\/5, -0.65, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 30 = 18*k, 3*s + k - 5844 = 0. What is the remainder when s is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*a - 8*a + 9*a)*(-265 - 4*a - 9*a + 11*a) in the form h*a + i*a**2 + z and give h.\nAnswer: -7420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1694, 1738, 1814, 1922, 2062, 2234?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 132 = 8*m + s, 0*m + m - 4*s = -96 - 111 + 325 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422403 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.039 from 29.\nAnswer: 29.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80300 + 497*p + 80300 to the form u + m*p and give m.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 55. Suppose -3*t = -23 - 55. Let g = j - t. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*j + 58*j - 2 - 119*j.\nAnswer: 578*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (-57 - -39).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862027674 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -77 + -2 + -8 - (2 + (-5 - 0)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**2 + 3*g**2 + 0*g**2)*(22 + 6*g - 22) in the form z + v*g + t*g**3 + m*g**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = 3 - 53 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 32*k - 3*t = 412849, 2*t = -2*k + 825650. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306682429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -7. Let c be (-48)\/y*(-9)\/6. Solve -20 = -c*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 6*x - 2. Give d(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 - s**2 + s + 1. Let j be a(-1). Let k = -1 - -6. Suppose j = 4*z - 5*f - 43, -2*f = -k*z + 49. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -6.5. Let j = -0.05 + q. Let s = 0.05 - j. Is s smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:47 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 5. Give b(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 330*y - 3732. Give q(-97).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.42 and -0.071891?\nAnswer: 0.31775822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 2. Let o(x) = 7*x**2 + 2*x - 4. Let d(j) = 6*j**2 + 3*j - 6. Let g(y) = 2*d(y) - 3*o(y). What is k(g(h))?\nAnswer: -27*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v + 50 + 61 - 152 = 0. Which is the fourth biggest value? (a) v (b) -1 (c) -2\/3 (d) 1.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-2)\/(-5) - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 93 + 49)*(-2*x + 1 - 1)*(x**3 + x**2 - x**2) + x**4 + 3 - 3 + (-4*x - 4*x**3 + 4*x)*(-x - 5 + 5) - 14*x**4 - 5*x**4 - 3*x**4.\nAnswer: 313*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -101.91 - 256391.6\nAnswer: -256493.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 8 = 0. Let j be (y\/(-20))\/(1\/5). Which is the third biggest value? (a) j (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-7)*(-47712)\/(-1581312)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -14861\/838?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1906570.269 to the nearest 10000.\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 491?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8 = 0, -3*m + 5*m - 5*z = 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159805, -159797, -159783, -159757, -159713?\n\"Answer: f**3 - 3*f**2 + 10*f - 159813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 + -238. Suppose -4*l + v = -53. Let u = -155 - l. Round u to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 59, 188, 441, 860, 1487, 2364, 3533?\nAnswer: 5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q. Let x(r) = -433*r**3 + 6*r + 4. Give 2*n(c) + x(c).\nAnswer: -435*c**3 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3025*n**5 + 11605*n**4 + 3838*n**3 - 40232*n**2\/5 + 12576*n\/5 - 1152\/5 = 0.\nAnswer: -1, 12\/55, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/138 - (-6 + (-1400)\/(-147)).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.1 (c) 5 (d) -1\/22 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -754, -0.0819.\nAnswer: -754, -2, -0.0819, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 42403413?\nAnswer: -42403411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-532)\/10 + 20\/(-25))*(-16)\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11211001 (base 3) to base 13\nAnswer: 17a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 4 + 4)*(-152 + 33*s**2 + 152).\nAnswer: 33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -24f?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 - 1)*(-2 + 4 - 3)*(7*s - 13*s + 3*s + 2) to t + w*s and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201711 is divided by 20171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 18*g + 90. What is the remainder when n(-7) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 275492.996 + -276382. Let k = 893 + b. Let g = k - 4. Round g to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*c + 2 = 1, 0 = -5*c + 25. Let w = 30300 - 30060. Calculate the highest common factor of w and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 11) to base 10\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 5, a: 2, i: 9}. Give prob of picking 1 i, 1 x, and 1 p.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2090 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/27 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/(-140) + (-24)\/(-21). Let v = 558\/5 + -38512\/345. Is z smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36600 + -36682 - (0 - -25)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 12*m - 13. Let l(c) = c**3 - 10*c**2 + 25*c - 38. Let w be l(7). Determine j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14*-2)\/((-15)\/(-140)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqdqxqxqxqq. What is prob of picking 1 q and 3 x?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u + 2. Let x be l(1). Suppose -374 = -3*o - 5*n, -n - n = -x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**8\/112 + q**7\/70 + q**6\/40 - q**5\/20 - 6*q**2. Factor d(o).\nAnswer: -3*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 13*a**4\/4 - a**3 + 2*a**2 - 4*a - 21. What is the tens digit of x(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/30 and -34\/2088435?\nAnswer: 4176870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15633655*i**2 + 21907*i - 48.\nAnswer: 31267310","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*g**2 - 40*g**2 + 167*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.061 and -0.3.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 636 + -634. Let x(b) = -7*b + 47 - 55 + 38*b**3 - 39*b**3 + 8*b**m. Determine x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -18*c - 6*c + 93*c**2 - 97*c**2 + 4. Does 14 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**2 + 27*y**3 + 9*y**2 - 14*y**2 + (1 - 1 + y)*(-y**2 + 0*y**2 + 3*y**2).\nAnswer: 29*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (10 - 5) - -21 - 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 5, u: 9, l: 3}. Give prob of picking 1 c and 3 l.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + 26 - 20) + -45.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 25*j - 36. Suppose j*i + 42 - 38 = 0. Which is the third smallest value? (a) 0.1 (b) 1\/2 (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1122021?\nAnswer: 1122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7463395?\nAnswer: 5, 101, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 13, 0.065, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 361, 722, 1083, 1444, 1805?\n\"Answer: 361*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57798 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/93)*r)\/r**(2\/11)*(r\/(r**(-9\/5)\/r))**(-23\/5) assuming r is positive.\nAnswer: r**(-401101\/25575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*m - 12, 0 = -3*p - 5*m + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/5 + 3978*t**4\/5 + 7948*t**3\/5.\nAnswer: 2*t**3*(t + 2)*(t + 1987)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*u + u - 15834. List the prime factors of u.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 1\/1209 (c) 1.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*52\/(-130)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t. Suppose 4*d = 5*v - 0*d - 40, -v + 5*d + 29 = t. Is -1*v\/(-4)*30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 253*c**3 + 8*c + 24655?\nAnswer: 759*c**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 8\/4) + 2. Let w = -4 + 6. Suppose 0*d - 29 = -5*d + 3*g, 2*g = -d - w. Put d, x, 3 in descending order.\nAnswer: d, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738\/(-2790) + ((-8)\/(-90) - (-166)\/1494)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1173 and 16606?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (sqrt(7)*-3)**2 - (sqrt(49)*-3)\/sqrt(7) - ((-2 + 1 + sqrt(112))*2)**2).\nAnswer: -396 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18105\/(-425))\/(-213)*((-15)\/1)\/((-1)\/31)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a35 - 1?\nAnswer: 1a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.0265, 2\/5, -103\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g. Determine y(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/33165 and -17\/111474?\nAnswer: 37343790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 9, 0, 1, -53.\nAnswer: -53, -14, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6455450 and 140.\nAnswer: 90376300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = -26*m + 29*m, 3*m = -4*c - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 + 2*a**2)*(-a**3 - 4*a**3 + 0*a**3) + (-4 + 4 + 2*a**3)*(a**2 - 5*a**2 + 3*a**2) - 2 + 2 - 3*a**5.\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 9*x**2 + x - 6. Let n be q(9). Suppose -5*k - n*j + 49 = 0, 4 = 4*k - 2*j - 22. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + 0 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r - 4*c, 0 = -c - 4 - 1. Suppose -4*l = r*q - 140 - 134, 0 = 5*q - 5. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/671 and -23\/808067?\nAnswer: 8888737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m**2 + 227*m - 233. What is a(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -0.0787.\nAnswer: -0.003935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7497 - 7493. Solve n*w = 5*z - 18, z - 6 = 5*w + 3*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -882 (b) -0.3 (c) 0.030798\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.69, 0.57, 22\/41, 0.1, -0.03?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48340, 192764, 433468, 770452, 1203716?\n\"Answer: 48140*j**2 + 4*j + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/21 - (11 + (-56)\/8))\/(9\/42)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.506879612 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 12*m + 11. Let u be q(-11). Suppose -3*x + 8*x + 2*b - 180 = u, 0 = 5*b. Suppose 12 = 2*h - 0. What is the greatest common factor of x and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 36*g = -100. Let r = g + 36. Calculate the highest common factor of 88 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*k - 204*k - 129*k + (k + k + k)*(5 - 5 + 4) to the form f*k + x and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1656 by -23.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejs when three letters picked without replacement from {z: 3, e: 3, s: 3, m: 1, j: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(-f + 2*f - 3*f**2 + f).\nAnswer: 6*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Suppose -2*p + 4*y - 8*y + 8 = 0, -v*p = -4*y - 20. Suppose -p*s = 4*s - 896. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1020?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 1880*q**2 - 238805*q - 6599320.\nAnswer: 5*(q - 481)*(q + 49)*(q + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqzzzqymg. Give prob of sequence zm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -1. Solve 0*p + p = -r*d + 11, -3*p = 3*d - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-310*r - 597*r - 475*r)*(0*r + 4*r + 7*r).\nAnswer: -15202*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 157 = 149. Let b = -34 - k. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125\/864 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 61 + -28 + -70?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 - 0.03. Let r = 56 - 58. Which is the smallest value? (a) r (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6312 - 6303. Solve -7*n - x = -12*n + w, -n - 5*w = -7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -22941 and -23244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11567*v**2 - 13*v + 17214. Let s(l) = 5740*l**2 - 6*l + 8607. Let w(k) = -13*s(k) + 6*z(k). What is the derivative of w(c) wrt c?\nAnswer: -10436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 2*l + 7. Let v be h(-5). Let m = 177 - v. Let k be ((-6)\/(-2))\/(1\/m). What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 100\/12)*-1 + (-1)\/3. Solve 22*l + 6 = 25*l, 0 = 5*z + 4*l + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o + 57. Calculate j(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13148959 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 74 - 22 = 0. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let i(c) be the third derivative of 0*c**3 + 0 - 7\/30*c**5 - 12*c**2 + 0*c + 0*c**4. Determine i(z(x)).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002527 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose 3 = -o + f*o. What are the prime factors of o\/(4\/(-5) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3)\/o*o*o*o)**34*(o**(-1\/6))**(-7))**14 assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12902312.\nAnswer: 2, 73, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q*q*q**(-1\/5)*q)\/q))\/(q*q\/(q*(q*((q*q**(-3\/16))\/q)\/q)\/q)*q*q)*q**(3\/5)\/q**7)**(-46) assuming q is positive.\nAnswer: q**(20953\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) 1\/12 (c) 134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 8. Let p be g(6). Suppose 14 = 3*j - 4*v, 0 = -j + p*j - 3*v - 8. Let n(c) = 3*c - 3*c**j - c**3 + c + 4*c**2. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 + 2*o**3\/3 + o**2 - 14*o. Suppose 5*a + 4*t - 33 = 0, -t - t + 24 = 4*a. Calculate h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 - 18*m**2 - 105*m + 36. Let n be u(-6). Calculate the highest common factor of 78 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -814*w**4\/5 - 1564678*w**3\/5 + 2805528*w**2\/5 + 646472*w\/5 + 15392\/5 = 0.\nAnswer: -1924, -2\/11, -1\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + c + c + (-2*c + 2 - 2)*(-2 - 1 + 4) + 2*c - 7*c - 1 + 3*c - 2*c - 2*c + 6*c + 0*c + c + 2*c.\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*h - 112, -4*m + 2*h + 105 + 11 = 0. Calculate the greatest common divisor of m and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 46, 114, 238, 436?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010001001 (base 2) to base 16.\nAnswer: -e89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 33*m**2 - 61*m + 30. Let g be a(-31). Calculate the common denominator of -137\/6 and g\/4*8\/(-4)*-39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202201011002120 - 11?\nAnswer: -1202201011002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 265163 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 33827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8153765.9 and -6?\nAnswer: 8153759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 88662 = 17*k. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 199, 286, 375, 478?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26456 (b) 9 (c) 1\/4 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 5.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 8801662390?\nAnswer: 8801662384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 28. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220212.\nAnswer: 2, 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 at least 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581851.\nAnswer: 199, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 138771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/6 + 11*h**2\/2 + 7*h. Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-50))\/((-12)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/3 - 1634746*j**2 + 2004294228640*j + 12025784988800\/3 = 0.\nAnswer: -2, 2452120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - ((-16 - -15) + (-78 - -6))) + 5 + 0?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/784 and -113\/196?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2265980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14437*v + 24109800. Give f(1670).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05942 times -1270\nAnswer: 75.4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**2*r*t**2 - 2*m**2*r + 7*m**2*t**2 - 11*m**2*t - 26*m*r*t - 2*r + 25290*t**2 + 113 wrt t?\nAnswer: 12*m**2*r + 14*m**2 + 50580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3*l**5\/25 + 213*l**4\/20 - 138*l**3\/5 - 7215. Solve v(g) = 0 for g.\nAnswer: 0, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {q: 1, w: 2, o: 2, k: 1, g: 2, v: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:54 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.2 + -14. Let c = z + -8. What is c rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2510 (base 6) to base 16\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 + t - 6 - t**2 - 5*t. Let d be i(-4). Is 5 a factor of 20\/(-16)*d*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2\/5 + 4989*l\/5 - 207774\/5 = 0.\nAnswer: 42, 4947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*t + 316, 5*t - 432 = z - 37. Let d = 143 - t. What is the highest common factor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 23*x - 1240. What is the remainder when 213 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*w - 16 = 0, -5*f = -2*f + 2*w - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:32 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4246 and 4246?\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v + 2 + 13 - 3*v - v**3 - v**2 - 9. Let p(q) = 1. Let k(h) = -n(h) + 6*p(h). What is k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -x - 2*g, 7*g = x - 8 - 15. Solve -17*q + x = -11*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 763*w**2. Let j(o) = o + 14. Let x(r) = 4*r + 28. Let q(u) = -2*j(u) + x(u). What is q(d(g))?\nAnswer: 1526*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-16 - -8) + (-4 - -6) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 1134, 1741, 2330, 2895, 3430?\nAnswer: 3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-3*-5)**2 + sqrt(98).\nAnswer: 7*sqrt(2) + 22050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m**2 - m**4 + 20*m**3 + 2*m**4 + 28*m**2 + 90 + 171*m + 7*m**3 - 6*m**3 = 0.\nAnswer: -15, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:17 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208*k + 1195*k + 1 = 14. Which is the closest to k? (a) -11 (b) 4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/495)\/(20\/(-48)) - (-2)\/(-5)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 123 = 3*l - 2*l, -185 = -5*q - 5*l. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 6 = 11*l, -11 = -64370*l + 64368*l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610 and 5931518?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2543547 hours to seconds.\nAnswer: 915.67692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose 3*a + j - 21 = k, -4*j = 4 + 8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 6*c. Let a be b(6). Let m = 2043 - 2043. Solve -2*y + 2*t - 8 = m, a = -y + 2*t - 0*t - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 10*m - 11. Let r(v) = 5*v**2 - 10*v - 10. Let n(x) = 7*r(x) - 6*s(x). Let j = 430 + -380. Suppose 0 = -j*y + 55*y + 30. Determine n(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/4 - 3*n**2\/8 + 15*n - 146. Determine k, given that f(k) = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750695409?\nAnswer: 3, 59, 83, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8795 - 2055. Calculate the highest common divisor of z and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7\/(t**6*t))\/(t**(-1\/3)*t*t\/(t\/(t**(-2\/3)\/t))))**1 assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2047)\/(-2))\/(-3 + (-21)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*g + 9, c - 2*g = 2. Let j be 2 + -3 - c\/(-3). Let o be j\/(3\/12*-6). Solve -2*q - 4*u = 0, -2 = -o*q + q - u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i + 19*i - 50*i.\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:03 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -14414?\nAnswer: -14413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 7*f - 2*f. Let h = 165 + -106. What is the remainder when h is divided by (-3)\/f*(-5 + 5) - -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/840224*-62 - 10\/(-16).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13 = 2*x, 2*x - 139249*u + 42 = -139241*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/162 and 5\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4856*k**2 + 10288*k**2 + 2*k + 8595*k**2 - 4602*k**2 + 1064*k**2 + 3*k**3.\nAnswer: 3*k**3 + 20201*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 3, x: 4, v: 2, n: 2}. Give prob of picking 1 t, 1 z, and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (12 - -4)) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010110010110 - -100111?\nAnswer: 11000010110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-8 - 3) - -5) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.86 + -8. Let d = -0.164 - k. Round d to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:03 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpakgaaakaakvoovopk. What is prob of picking 1 k and 1 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(832) + -3))**2*-4.\nAnswer: -3364 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 8. Let f(o) = -10*o + 1. List the prime factors of f(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-48)*(q\/(q*q**(-3)))\/(q*q**(-1\/5)\/q*q))**48 assuming q is positive.\nAnswer: q**(-10992\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/15868 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*o - 80 + 28 = -2*n, 4*o - 3*n + 48 = n - n for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -14, 3, -360, 6, 0 in descending order.\nAnswer: 6, 5, 3, 0, -4, -14, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 4*o**3 - 17*o**3 + 14*o**3 + (2*o**3 - 2 + 2)*(3 - 6 + 2).\nAnswer: -o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 655 = 1897. Suppose 3*r + 5*m - l = 0, m + 4 - 1 = 0. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418150.03 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -133 times -234.1\nAnswer: 31135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/30 + 4 - 24\/(-5). Suppose -2*m = -c - 5, 2*o - 53 = -5*m. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.7088ml in litres?\nAnswer: 0.9247088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*m - 4148 = -2975 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531914899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -140129 times 10.88\nAnswer: -1524603.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2 - 5*v + 1. Let d be (5\/15*3)\/(1\/(-6)). What is h(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*a + 15226 + 4108 = 3424 for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 160\/25 - 0 - 4\/10. Let z(a) be the third derivative of a**5\/30 - 5*a**4\/24 + a**3\/2 - 3*a**2. Let v be z(3). Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/72 - 7*a**5\/135 - 11*a**4\/216 + a**3\/27 + 6*a**2 - 4. Determine l so that y(l) = 0.\nAnswer: -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1363767, -2727544, -4091331, -5455134, -6818959?\nAnswer: -8182812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4492450?\nAnswer: 2, 5, 89849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, p: 3}. What is prob of sequence qpqf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 111*o + 55*o = -17*g - 82, -2*o = 5*g + 38 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1125)\/12 - -55 - (-14)\/8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, 21\/5, 375.8?\nAnswer: 375.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/9 (b) 2\/77 (c) 188 (d) 8\/17 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -26. Let s = -2 + 2.1. Which is the third smallest value? (a) r (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/213696 and -101\/112.\nAnswer: 213696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192, -191, -188, -183, -176, -167, -156?\n\"Answer: u**2 - 2*u - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z - 15. Let y = z - -11. Let h be 6\/15 - (-146)\/10. Calculate the greatest common factor of y and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7544 = 2284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 4113?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2 (c) -0.526292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.769 + -6.959. Let j = s - -1.19. What is the closest to 1\/3 in j, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64165547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.001 - -55.001. Let w = -97 + l. Let b = w + 58. Which is bigger: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471556 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 5, -397?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56275883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -26, 1, 6, -5\/13, 0.13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27488\/153 - -1636\/9. Let o = f + -55\/34. Which is the nearest to -0.1? (a) o (b) -1 (c) 4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Suppose -4*h + 33 + 15 = m. Let s be -2 + (-9 + 4)*h\/(-10). Solve 5*v + s = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(2 - 0). Suppose 0 = -4*d - p*d + 16. Suppose 0 = -3*n - 3*o + 42, 7*n - 2*n - 62 = 3*o. Calculate the remainder when n is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r = -32*r + 61110. Let x = -1097 - r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x + 10. Let k(a) = -3*a**2 - 13*a - 14. Let t be k(-1). Sort 3, x, t in ascending order.\nAnswer: t, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096177297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 393 - 286 - 107 + 16546*c to g*c + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -9*u**5\/10 - 7*u**4\/6 - 9*u. Find the third derivative of a(x) wrt x.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - i - 19 + 16, 5*i = 4*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3214, 3154, 2994, 2698, 2230, 1554?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + d = -4, -q - d - 4 = q. Let f be 0 + (-4 - (-2 + -2)). Suppose 3*o + 2*c + 47 = f, 0 = -5*o + 3*c + 2*c - 45. Put o, -5, q, -3 in ascending order.\nAnswer: o, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7865731 and 102.5?\nAnswer: 7865833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 109*i - 18. Let g be h(4). Suppose g*j + 543 = 419*j. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/17, -1.55 in decreasing order.\nAnswer: 3, 2\/17, -1.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5*t**2 - 13*m**3*t**2 - m*t**2 + 2*t**2 - 3*t wrt m?\nAnswer: -20*m**3*t**2 - 78*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-11)\/(99\/6)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247 + 1709. What is the highest common divisor of h and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**5\/60 - u**4\/6 + u**2\/2 + 2. Let m(v) be the second derivative of i(v). What is the second derivative of m(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 5808, 14997, 27862, 44403?\nAnswer: 64620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. What is the common denominator of (-29 - w) + (-21)\/14 and -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:02 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -302 + 15*v**2 + 302 + (v**2 - 5*v**2 + v**2)*(4 - 3 - 2).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpotptptxxopkt. Give prob of sequence xpx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:20 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 30029*z - 569472. What is q(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 2*r**3 + r**4)*(11 - 4*r + 2*r + 0*r).\nAnswer: -2*r**5 + 11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**2 + b - 1. Let z(u) = 13*u**2 - u + 1. Let i(h) = -3*d(h) - 2*z(h). Give i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1466255?\nAnswer: -1\/1466255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 6*r - 6. Let c(a) = 11*a**2 + 13*a - 13. Suppose -5*t - 3*s + 30 + 3 = 0, 3*t - s = 17. Suppose -z = -4 + 17. Calculate t*c(f) + z*q(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 + 71*j**3 - 220*j**2 wrt j.\nAnswer: -60*j**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2373 (base 10) to base 14.\nAnswer: -c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2322 + t + 298*t**3 - 2322 - 2319 + 6965 to the form d*t + s*t**3 + u*t**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 54, -829, -14\/23?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (672\/48)\/((-7)\/(28\/8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 15*v + 15*v - 39*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 464*g - 399. Let x(r) = 463*r - 401. Let n(b) = 4*c(b) - 3*x(b). What is the derivative of n(l) wrt l?\nAnswer: 467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 11211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23966429\/43131 - 10\/14377. Let o = f + 26489\/48. What is the common denominator of o and 101\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -6.\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-13952)\/416) + -32.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(3\/7)*l*l**(2\/9)*l assuming l is positive.\nAnswer: l**(230\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/775 and -69\/577910?\nAnswer: 89576050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 5*i**3\/3 - i - 2. Suppose -4 = -3*d - 1. Let q be a(d). Solve q*m + 7 = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -24. Let n(z) = 2*z**2 + 3*z - 14. Calculate the remainder when n(s) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14601 - -24808. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817412 = -4*i + 6*u, 3*i + 2*u = 3*u + 613059. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 1700*w**3 + 59584*w**2 + 519740*w + 25536 = 0.\nAnswer: -19, -16, -21\/425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616419 + 2*o**3 - 616419.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -440 in increasing order.\nAnswer: -440, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**9\/5040 + 3*l**8\/2800 - 3*l**7\/1400 + l**6\/600 - l**3\/3 + 2*l. Let u(p) be the second derivative of m(p). Factor u(a).\nAnswer: -3*a**2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4\/2 - 1505*h**3\/4 + 14250*h**2 - 28125*h\/4.\nAnswer: 5*h*(h - 75)**2*(2*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121.03 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*s - 239, s + 3*s - b - 330 = 0. Let p = -48 + s. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(160)*-3 - sqrt(160)) + sqrt(160)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 369054\/18 + (5 - -2). Round k to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -523, -519, -521, -535, -567, -623, -709?\n\"Answer: -b**3 + 3*b**2 + 2*b - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6265*u + 756. Let o(f) = -783*f + 96. Determine 8*i(c) - 63*o(c).\nAnswer: -791*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 467867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-1 + 29 - (-44 + 36 - -2)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -243\/8. Let n = 10749\/790 + -198\/79. Find the common denominator of n and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, -3, 607, -181, 2 in ascending order.\nAnswer: -181, -5, -4, -3, 2, 3, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f. Let v = -13 - -18. Let d(b) = v*b - 5*b**2 - 5*b + b**2. Calculate d(s(a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11021122011 (base 3) to base 13.\nAnswer: 2c4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -1, -65, -199, -427?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/80 and (-5610)\/15840*(-9)\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(3\/7))\/u)\/u*u*u**(-2\/11)*u)**(1\/26) assuming u is positive.\nAnswer: u**(107\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 2. Let i(t) = -16*t. Let a be i(1). Let m be ((-5)\/(-4))\/((-4)\/a). What is u(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avrwva. What is prob of sequence wva?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 311830\/33 or 9450?\nAnswer: 311830\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109607191 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154354 rounded to 6 decimal places?\nAnswer: 0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3082*b + 9235. What is h(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 791336 and 60872?\nAnswer: 791336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(4 + -4*sqrt(832)*-4))**2.\nAnswer: 1792*sqrt(13) + 213041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1378.8401166 to two dps.\nAnswer: 1378.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 - (130 - 70) - -73?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -0.252\nAnswer: -0.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -19. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 12, 2, -8, -18, -28?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 6 (c) -1 (d) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*i - 73, -3*i + 7*i = -3*q - 16. Let c be (12\/10)\/(q\/(-40)). Solve 0 = 3*p - p + c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -80213 (b) -2\/9 (c) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9463 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11948*s - 179246. Determine j(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3808\/4 + -12*(-7)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1)**2*6 - sqrt(325) - sqrt(325).\nAnswer: -10*sqrt(13) + 1950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/(-4)*(-14)\/(-7). Which is smaller: r or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 2*b**3 - 2*b**3 + 17*b - 9*b**5 - 17*b + 2*b**5 - 4*b**5 + b**5 + (2*b**4 + 4*b - 4*b)*(2*b + b - 2*b) + 107*b**4 - 107*b**4 - 15*b**5.\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) - 21\/(-532). Is -3 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -57, -0.07, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = q - 41, 5*x - 37 = -0*q + 3*q. Suppose 0 = 7*l - 3*l - x. Suppose -f = l*f - 381. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -9, 10 in decreasing order.\nAnswer: 10, 5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*w + 20 = 0, -2*q = 4*w - 30 - 8. Let p(x) = 23*x**3 + 35*x**2 + 20. Let m(v) = -8*v**3 - 12*v**2 - 7. What is q*m(j) + 6*p(j)?\nAnswer: 2*j**3 + 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2266, -2255, -2240, -2221?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15.00906 centimeters?\nAnswer: 150090.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + -63. Let a = -709 + 610. Let x = a - r. Is x a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 + 8)) + (-65 - -69)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let y(r) be the third derivative of 0 - 1\/30*r**5 - 9*r**2 + 0*r + 0*r**3 + 0*r**4. What is n(y(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*g**3*o*u**2 - 151076*g**3*z - g**2*o*u**2 - g**2*o*u + 20*g*o*u**2*z - 616*g*u**2 - o*u*z + 3*o*z - u**2 wrt g.\nAnswer: -120*o*u**2 - 906456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + l + 1. Let r(q) = 4*q**3 - 6*q**2 - 4*q - 6. Let s(i) = 6*g(i) + r(i). What is the second derivative of s(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4943, -3, -18.\nAnswer: -18, -3, 2, 5, 4943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -26, -30, -28, -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 - 3*u**2 + 4*u**2)*(-2*u + u + 0*u)*(-3*u + 0*u - 2*u) to the form r*u**2 + k*u + c + a*u**4 + f*u**3 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33321 (base 4) to base 12.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1 + 4))\/(-2). Suppose w = 2*z - 0*z - 30. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780223.\nAnswer: 780223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 20*f = 39. Let v(r) = r + 27. What is the remainder when f is divided by v(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a, -5*a = 4*f - 36 - 0. Let j(b) be the second derivative of b**4\/12 + 4*b**3\/3 - 21*b**2 + 8*b. What is the units digit of j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrr when three letters picked without replacement from {t: 1, g: 1, v: 4, y: 2, j: 1, r: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -373*r**6\/60 - 7*r**4\/24 - 13*r**3\/6 - 2051*r**2. What is the second derivative of v(w) wrt w?\nAnswer: -4476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (263 - 276) + (0 - (72 + 3)) + 0 - -7\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -8.17789\nAnswer: -0.817789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.2. Let m be 26\/5*172\/592. Let q = 2\/185 - m. Which is the nearest to s? (a) 0.2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544339078.365897697 + 3137919.365887897. Let b = 541201048 + v. Let r = -111 - b. What is r rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*a**3 + 207*a**3 + 198*a**3 - a + 209*a**3.\nAnswer: 11*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32042266129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.429896 milliseconds to microseconds.\nAnswer: 6429.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2278324)\/32 + -1 - (-9)\/(-24). Let k = -32099 - z. Round k to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k**2 + 12*k**2 - 27*k**2. Let y(l) = -2*l**2 - l - 2. Let h(n) = -n - 2. Let b(r) = -4*h(r) + 4*y(r). Give w(b(u)).\nAnswer: -960*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**2*p**5 - o**2 + o*p**5 + 6*o*p - 3*p**2 wrt p.\nAnswer: 120*o**2*p**2 + 60*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/3 in 0.1, 4.2, -4, 0.0476, -2\/5, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n. Let j(d) = -d**3 + 7*d**2 + d. Let m be j(6). Let r(w) = w - 42 + m. Give o(r(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2240325 and 80?\nAnswer: 35845200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 855\/(-20)*(-6)\/9. Let q = p + -28. What is the nearest to q in 4\/3, 1\/3, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59942 and 14063?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26544, 26545, 26546, 26547, 26548, 26549?\n\"Answer: q + 26543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298453 and 27465.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 (base 10) in base 5?\nAnswer: 100344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6466268 by 1616567.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1418870748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.79 + -15.5. Let p = i - 0.29. Let b = -189\/65 - -30\/13. What is the nearest to p in 4, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61988, -124453, -186918, -249383?\n\"Answer: -62465*f + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104343 - 2?\nAnswer: 104341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p, -3*y + 2*p - 5*p + 6504 = 0. Let v(w) = y + 2168 - 4336 - 5*w. Let c(t) = 3*t - 3*t + 14*t**2. Give v(c(a)).\nAnswer: -70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2 - 1 - 330*n**5 - 5*n - 322*n**5 + 669*n**5 wrt n?\nAnswer: 340*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321084 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4132 * -89.\nAnswer: -367748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12396 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = -5*x + 1588. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**2 - 162. Let h(p) = 28*p**2 - 322. Determine -4*h(u) + 7*n(u).\nAnswer: 7*u**2 + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**2 + 295*k**2 + 205*k**2.\nAnswer: 546*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 266 + 262523?\nAnswer: 263122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/72119808 and 55\/768.\nAnswer: 72119808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1150, -1132, -1096, -1036, -946, -820, -652?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/49 and 1\/3*2186\/1470 - (-4815)\/(-8025).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*w + 42017 = 68*w + 163*w + 11487 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 10. Let y = q + 1. Find the first derivative of 0 + 2*n**y - 1 - 1 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 64*k**2 + 4*k + 286. Let g be u(-64). Calculate the highest common divisor of 610 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 171. What is the third biggest value in x, 37, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417*k**3*r**3*w - 4*k**3*w + 2*k**2*r**2 - 4*k**2*r*w - 3*k - r**3*w wrt k.\nAnswer: -2502*r**3*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2994 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(3\/210)\/(-42 - -41)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -7 + 31. Determine j so that j**2 + 4 - i*j**2 - j**2 + 12 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(0 + 3*j + 0) + 9*j - 3*j - 2*j to the form v + n*j and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + -360. Let z = 32 - p. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 + -3 + 5 + -1. Let u = 20 + m. Suppose x + 3*c = -0*x, -u = 2*c. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 7*s**2 + s - 5. Let f be w(-3). Solve -2*p - 3 + f = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 83, 121, 159, 197, 235?\n\"Answer: 38*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 23 - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -557173?\nAnswer: 557171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 26 + 2690. Suppose 873 = a - 4*j, 4*j - s = -a + 517. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3 - -1*7. Let l(p) = -p**2 - 2*p + 6*p - h + 15. Let i = 9943 + -9937. Calculate l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 1 - 2*r**2 - 8 to f*r + x + p*r**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69893 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 5 + 4*y - 3 + 1. Let l be c(4). Solve m - l*m = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**5 - 8*g**2 - 4*g - 33*g**2 + 22*g**2 + g**3 wrt g?\nAnswer: 540*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and 0.2.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*o = -357*o - 162. What is the units digit of (19494\/o)\/(2\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 0*j)*(-767*j - 274*j - 548*j)*(7*j**2 - 21 + 21).\nAnswer: 11123*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 2, -5, 0, 4, 0.06.\nAnswer: -5, 0, 0.06, 2, 4, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 7 = 52 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 1:35 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 19 = -5*j, -377*u + 373*u = 3*j + 21. What is the closest to 0.2 in -49, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 + 962?\nAnswer: a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2 + 3*j + 18*j**2 + 1 - 10*j**2. Let h(m) = -4*m + 10. Let k(d) = -d + 3. Let u(i) = 2*h(i) - 7*k(i). Let s be u(3). Calculate p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8002*j**3 + 42*j + 578. Let w(x) = -32008*x**3 - 161*x - 2315. Let f(y) = 23*a(y) + 6*w(y). What is the first derivative of f(g) wrt g?\nAnswer: -24006*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 2*k + 1330 = 1367, 3*f + 16*k = f - 2*f + 76 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 9178*s - 9185*s - 9182*s - 16 + 45919*s - 9185*s - 9185*s.\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55176 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 - -434. What is the remainder when p is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 2218 + 679. Suppose -357 - a = -4*i. What is the greatest common factor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r - 27. Let g be z(-11). Let m be g\/((-1)\/(-1)*2). Suppose -k - 3 = m*f + 4, -f = 3. Is k greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 8881449.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*l + 1770 = 6768 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 3*h - 4. Let g be j(-3). Suppose -k - 8 = -g*k. What are the prime factors of k\/(-9) - 2928\/(-54)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/560)\/((-40)\/(-42)))\/((-12)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(((-50)\/(-3895))\/(-5)). Round r to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/12 - 4*c**2. Let v(n) = -n. Let t be 38\/(-9) + (366\/(-54) - -7). Determine t*w(s) + 12*v(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 102*b**2 - 660*b - 1370. Give k(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 13) to base 7.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-18 - (2 - 49)) + 26\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 13824*m - 13841*m. Solve -2*j = -12 + m, -5*d + 19 = -j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d + 8. Factor 0 + 0*h + 0*h**d - 2\/7*h**4 + 2\/7*h**2.\nAnswer: -2*h**2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 78. Let i be p(13). Suppose i = 2*h - 85 - 53. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5235 = -4*s + 5*b, -4*s + 6555 = s + 5*b. Suppose -750 - s = -10*r. Calculate the smallest common multiple of r and 4.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/12*h**4 + 0*h**3 + 0*h + 0 + 1\/30*h**5 + 3*h**2. Solve i(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449 = -34*v + 639 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 3*u + 1096. Let i(h) = 6*h**2 + 4*h + 1087. Give -3*i(z) + 4*v(z).\nAnswer: 2*z**2 + 1123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i + 9. Let b be v(4). Suppose 4*q + 3*q = b. What is the remainder when 34 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 - 8*w - 6. Let h be n(-6). Let o be (h\/9)\/((-8)\/30). Let j = -86 + 86.5. Which is the third smallest value? (a) 2\/9 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 3*k**2 - 6*k + 6. Let x be b(4). Suppose -l + 394 = 5*c, -4*c + 5*l = 3*l - x. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*2)\/sqrt(7).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2666, 2697, 2750, 2825, 2922, 3041, 3182?\n\"Answer: 11*r**2 - 2*r + 2657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12770, -25432, -38086, -50732, -63370, -76000, -88622?\nAnswer: -101236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -66613533?\nAnswer: -66613541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 4667.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 1. Let q be l(1). Solve 0*z - 4*z - q*i = 10, 5*z + 2*i + 14 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6900 - -6880. Let d = 0 - -1. Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(1573) + (-6*(sqrt(1573)*-1 - sqrt(1573)) - sqrt(1573)))*4)**2.\nAnswer: 14080*sqrt(13) + 2517056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 1490?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 41*g**4 - 5*g**5 - 43*g**4 - g**3 + (11 + 79 - 23)*(3*g**5 + 2*g**5 - 2*g**5).\nAnswer: 196*g**5 - 2*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*n*r**2 + d**2*n*r - 63*d*r**2 - 271*n*r**2 + 4*n*r wrt d.\nAnswer: 6*d*n*r**2 + 2*d*n*r - 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12197 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.3 + 2.3. Let l = 10 + s. Let i = l - -8. What is the closest to 1 in -0.2, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 119 + 6048. What are the prime factors of f?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 208223001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 84*d**2 - 7*d + 4. Let c be l(-6). Let a = c + -49205\/16. What is the common denominator of 67\/22 and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31070 + -31117. Which is the smallest value? (a) -5 (b) -4 (c) j (d) -2 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-508)\/(-16) + 3\/12. Find the common denominator of 99\/(-6)*12\/h and 17\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 282067, 564132, 846197, 1128262?\n\"Answer: 282065*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/5157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -21*y**2 - 9. Suppose -17*a = 123 + 149. Let q be (7 - 11)\/a + 19\/4. Let v(c) = -11*c**2 - 5. Determine q*f(j) - 9*v(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/58015 and -17\/266869?\nAnswer: 1334345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:38 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-4\/7)\/k))\/k)\/k)\/k)\/(k\/k**(-6)) assuming k is positive.\nAnswer: k**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 321681559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 114 (b) 51 (c) 3 (d) 22 (e) -2\/13 (f) -26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -2. Let h = d + 9. What is the closest to 0.3 in -0.2, -4, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0320029 + -0.032. What is m rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erezzzrwxzzrwwzrwwr. Give prob of sequence wxw.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 9693.6?\nAnswer: -9694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1015, 1016, 1017, 1018, 1019?\n\"Answer: u + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-1 + 401)*2. Let f(x) be the first derivative of 1\/20*x**4 - 9 + 1\/5*x**3 - 3\/5*x - s*x**2. Factor f(p).\nAnswer: (p - 1)*(p + 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**4 - 97642*t**2 - 33*t + 5096 wrt t.\nAnswer: 96*t**2 - 195284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 826.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145793.3 days to hours.\nAnswer: 3499039.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/55 in 4, 1\/4, -1\/2, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/f)**(1\/55)\/(f\/f**(4\/9)*(f*f**(3\/8))\/f) assuming f is positive.\nAnswer: f**(-3829\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -5, 757 in decreasing order.\nAnswer: 757, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 8 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 39, -5, -4, 4, -85 in decreasing order.\nAnswer: 39, 4, -3, -4, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 154327175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 333*y**4 - 5*y**3 - 500*y + 5. Let x(d) = -333*d**4 + 4*d**3 + 500*d - 4. Let n(f) = -4*s(f) - 5*x(f). What is the second derivative of n(t) wrt t?\nAnswer: 3996*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (23 + -27)*(-1 - 19\/(-4)). Let i = -22 - m. Let c(a) = -18*a - 29. What is the tens digit of c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 2 + 0*s + 1\/12*s**4 + 2*s**2 - 1\/6*s**3 - 1\/60*s**5. Let k(q) be the second derivative of p(q). Solve k(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1 (c) -2 (d) -11 (e) -11\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**3 + 8*l**2 + 20*l - 33. Is v(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1 + 4 + sqrt(162))**2*6 - (-4*-2*sqrt(14))\/(sqrt(28)\/sqrt(64) + sqrt(7)).\nAnswer: 5368*sqrt(2)\/5 + 4038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10483*o**3 + 908*o**2 + 2198*o + 5931 wrt o?\nAnswer: 62898*o + 1816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.5366 years in decades?\nAnswer: 49.55366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**18*y**10\/y**(1\/2))**37 assuming y is positive.\nAnswer: y**(-629\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q)**18\/((q**(-18)\/q*q)\/(q*q**33)) assuming q is positive.\nAnswer: q**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 12. Let x(j) = j + 7. Let b be x(-8). Sort b, q, 0.3 in ascending order.\nAnswer: q, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = -3*j + 4*j. Let z = 1362 - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*l + l. Let s be (-53262)\/(-2690) + (3 - (-84)\/(-30)). Solve -s*b + l*b + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**7\/2520 - a**6\/360 - a**5\/40 + a**4\/12 + 8*a. Let i(h) be the third derivative of z(h). What is the tens digit of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by 3\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 110935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 24*l - 34*l. What is the lowest common multiple of 7 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7973, 4, 23, -4 in descending order.\nAnswer: 23, 4, -4, -5, -7973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4 + (0 - 2 + 3)*(0 - 2 + 3) + 1 + 0 + 0)*(-7 - 1126*a - 1124*a - 650*a + 820*a) to the form x*a + s and give x.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 - 6*y**2 - 7*y - 2. Let l be c(5). Suppose 4*p - 2*i = -380, -p + 3*p + l = 2*i. What are the prime factors of ((-6)\/4)\/(18\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10287381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3377 and 7368.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13695 - 20.616763\nAnswer: 13674.383237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 5*h - 14 = 0, 44*d = 49*d + h - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275473213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8419*d - 8415*d = 2*s + 6, d - 3 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*z + 59. Let j(g) = -11*g + z*g**2 + 0*g**2 + 11*g. Let a(v) = 3*v. Give j(a(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282 - -201. Let d be 3 + (-3 - (c - 3\/(-3))). Suppose -3*x = -5*j - d, -j = -4*x + 4*j + 105. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 112 = -71*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2475)\/(-675)*(-750)\/880?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(125)*2)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*j**2 + 14 + 157*j**2 - 14.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/((-10)\/(-8)))\/(29\/145)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*i = -2*u + 8, -2*i = 8. Find the third derivative of -2*d + 3*d + d**2 - u*d**4 - d wrt d.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/(-384)*272.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -1. Let y be 4\/(-14) + (-45)\/(-84). What is the smallest value in w, 0.3, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 465 + -669. Let j = -207.69 - l. Round j to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/2)*g)\/g**(10\/3))\/(g**(8\/7))**(-26) assuming g is positive.\nAnswer: g**(1255\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 8. What is the least common multiple of j and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(2\/39))*f*f**(1\/8)*f assuming f is positive.\nAnswer: f**(679\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from ixknkxxixk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10 and 11\/1185.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, s: 1, a: 1, n: 5, h: 2, c: 1}. Give prob of picking 3 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 + 0.18. Which is the second biggest value? (a) y (b) -0.02 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:20 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7a2 (base 15) to base 7.\nAnswer: 221162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*d + 3 = -246*d. Suppose 4*a = 6*a - 42. Let j be (36\/a)\/(2\/14). Solve l + 20 = -4*l, -d*l = g + j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7487, -14976, -22469, -29966, -37467, -44972?\n\"Answer: -2*o**2 - 7483*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.1839.\nAnswer: -4.7356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 0.57. Let d = p + -0.4. Let m be -1*3*(-4)\/(-42). What is the third smallest value in -2, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 + 76. Let d = c - 403. What is the biggest value in -0.5, d, -1, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*q + 2*z, 5*q + 0*z + 3*z = 34. Suppose -4*p = 4*w + w - 15, 3*w - q*p = 46. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -3164, -7152, -12730, -19898, -28656, -39004?\nAnswer: -50942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 4. Let f be g(-10). Let o(y) = y - 6. Let h be o(f). Solve r - 9 = 3*m, 5*m + 25 = -5*r + h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2407.058 - 2401. Let i = v - 6. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c**2 - c. Let b(k) = 6*k**2 + 7*k + 8. Let j(t) = b(t) + i(t). Let l be ((-6)\/(-5))\/((-4)\/20). Is j(l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 47946*m**2 - 47946*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 182854*u - 2560152 = 0 for u.\nAnswer: -14, 182868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 57. Let t = h + -7. Let v = -54 - t. Solve v*p - 5 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 59 = -31. Let s(r) = r**3 - 3*r + 2. Let d(x) = -3*x**3 + 7*x - 5. Let t(a) = 4*a - 82. Let l be t(20). Determine g*s(c) + l*d(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 minus 6242070375472?\nAnswer: -6242070375472.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -207*v + 194*v + 29458. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = -402. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*b + b - 5*l, 2*b + 7 = -5*l. Suppose b - 3 = -q. Let a be 1 - q\/(-3) - 1. Sort -3, 1\/3, a in ascending order.\nAnswer: -3, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3721*b**3 + 4453*b**2 - 768*b + 36 = 0.\nAnswer: 6\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 91*t + 4*t**3 - 23 - 10*t**2 - 154*t + 82*t - 3*t**3. Give r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*o - 186*o = 2*k + 319010, 4*k + 637985 = 3*o. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30729*o - 139 + 139 - 128864*o.\nAnswer: -98135*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*i = -373*i + 63 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(1*sqrt(147)) + sqrt(405) + -4 + -2 + sqrt(405).\nAnswer: -6 + 127*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/7 + 531551*v**3\/7 + 7441550*v**2\/7 + 17009056*v\/7 - 68036736\/7 = 0. Calculate v.\nAnswer: -531537, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4367 and 13101?\nAnswer: 13101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-768)\/(-1768)) - (-1)\/6 and -33\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480567 less than 480569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4 - 16. Suppose 2*j + 0*j = 24. Let i be (j\/10)\/(12\/30). Solve t*f = -i - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 6 - 150*s**2.\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 11:03 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 57.7. What is the second biggest value in -6, 4, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -32?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -75*p + 396. Calculate the smallest common multiple of 276 and v(5).\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:50 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q + 5*a, 3*q + q - 22 = -2*a. Suppose -2*c + 71 = -q*o, 2*c - 68 = -0*c + 2*o. What is the third derivative of 2*l**3 + l**2 - c + 33 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 3)*(4*i**5 + 0*i**5 - 2*i**5) - 71*i**4 + 6*i + 2*i + 2*i**5 + 69*i**4.\nAnswer: -8*i**5 - 2*i**4 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -865*0.091\nAnswer: -78.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o + 3. Suppose 0 = 3*u - 7*u. Let j be m(u). Let i(x) = -x**2 - 7*x. Let h be i(-6). Solve 0 = -3*q - v - h - 1, -j = 3*q + 3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, l: 7, o: 2, g: 2, u: 1}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 252 = 868. Suppose 4*b - 8 = 132. Calculate the highest common divisor of p and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from dnndxnndndzxx?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (2 - 28)) + 7 + -9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q)\/(q\/q**(-30)))\/(q\/q**31*q**(-28)))**(6\/11) assuming q is positive.\nAnswer: q**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0 + 0 - 10*g - 19*g + 3*g + (1 + 1 - 3)*(-3*g + 3*g - 4*g).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1649832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 0*m**2 + 2*m**2)*(0*m + 3*m + 3 - 6) + (-m**2 - m**2 + 4*m**2)*(m + 0*m - 2*m) - 3*m**3 - 2*m**3 + 3*m**3.\nAnswer: -10*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -49906*c**2 + c. Let p(r) = 7*r + 2. Calculate p(m(l)).\nAnswer: -349342*l**2 + 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 2, i: 2, k: 1, t: 2, j: 1}. What is prob of picking 1 t, 2 r, and 1 q?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10262 - -17877\/2. Let v be 16\/((6\/(-243))\/2). Let w = n - v. Find the common denominator of 59\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -4. What is the highest common factor of 144 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38124433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19+1.341867108\nAnswer: 20.341867108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (sqrt(468) - sqrt(468)*-1)*1 - sqrt(468))\/(sqrt(36)*-6).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -26, 0.121, 4?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 23*w + 5. Let v be t(-8). Let m(p) = -4 + p - 4 + 13 + 6*p**2. Let b(u) = 3*u**2 + u + 3. Calculate v*m(i) + 5*b(i).\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1719 - -2274. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 61?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -106. Let u(g) = -52*g + r*g + 12*g + 2. Let c(j) = -9*j + 6*j - 8*j + 4. Give 6*c(o) - 13*u(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -69533\nAnswer: 2\/69533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1085 - 1093. Sort 0, 5\/8, 4\/7, f in ascending order.\nAnswer: f, 0, 4\/7, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21672450 and 714?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-6)*(-365 + -4) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -60*m + 3146. What is x(55)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1162*m - 52949. Calculate a(-46).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1260234606 - -36.\nAnswer: -1260234570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 25. Solve -s + k = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 1. Let o be d\/(-45) - (-34)\/9. Suppose 6 = 2*n + o. Solve -5*w - n = y, -3*y = 4*w + y - 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 + 3*f**2 + 0*f**2 - 6*f**3 + 6*f**3 - 1 + 2*f in the form b*f + u*f**2 + j + h*f**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194725101?\nAnswer: 5194725101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 468521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd685 + -2d?\nAnswer: dd656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 290 + -3?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 208\/(-564)*20\/24. Let s = -4\/47 - c. Determine m so that 4\/9*m**2 + 0 + 2\/9*m + s*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -11*(2 - 144) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o**2 + o + 1. Let q be (-1)\/(1 + (-8)\/12). Calculate the remainder when u(2) is divided by q\/21 - 127\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000080925 rounded to 7 decimal places?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*l + 32 = 0, -j + 2 = -3*l - 13. Calculate the greatest common factor of j and 3184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9627924 rounded to the nearest 10000?\nAnswer: 9630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**2 - 43*o**2 + 102*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 188.5 (c) 4 (d) 11 (e) 3 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -161578 (base 10) in base 16?\nAnswer: -2772a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:17 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from lbmlb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8\/(24\/(-72)*(-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k = 62*k - 93. Suppose -25*o = -k*o - 18. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308118 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-10))\/(4\/(-20)). Suppose -h*n - 30 = -w - 7*n, 5*w = -n + 93. Solve -i - w = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t + 2\/3*t**3 + 4*t**2 + 8\/3 = 0. Calculate t.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 8*y - 5. Let g be j(-5). Suppose 0 = 3*x - 4*u + g - 2, 4*u - 8 = 0. Solve a - 5 = -x*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5335 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = 0, 4*c = -4*g + c + 228. Calculate the remainder when (g\/24)\/((-1)\/(-24)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -35. Suppose 0*g = g + m. Let z(c) = c**3 - 2*c - 10. Let n(x) = x**2 - x. Let f(w) = -6*n(w) - z(w). Determine f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 2. Let z(o) = -86*o - 51. Let w(m) = -2*j(m) + z(m). Let h(s) = s**3. Let f be h(-3). Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936299783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.170246 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 310\/699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19382 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let j be w(2). Suppose -a + 1 = -j. Suppose a*z - 1 = 2. Solve -2*q - 5 = -z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 8. Suppose -4*u + 5*g - 41 = 0, 0 = 2*u + g + 40 - 37. Let f(t) = 12*t + 16. Give u*f(w) + 9*k(w).\nAnswer: 6*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-3724)\/8 - 6). Let d = 1832 + l. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Suppose -23*d + 0*d + 2254 = 0. Let g = d - 98. Solve g - 4 = -y*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:31 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14387 times -0.7\nAnswer: -10070.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -5, 0 in descending order.\nAnswer: 11, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 - 132. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4))\/g**4*(g\/(g*g**(-1))*g)**(-1\/16) assuming g is positive.\nAnswer: g**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 8*o**3\/3 - 27*o**2 + 2*o - 61. Calculate the least common multiple of k(7) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -31*i**4\/4 + 2*i**3\/3 - 3*i**2\/2 + i - 44. What is the second derivative of u(f) wrt f?\nAnswer: -186*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 - (156 + -81 + 76).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 11*z + 15. Suppose -v + 5 = -3*c, -5*v - 6*c = -2*c + 32. What is the lowest common multiple of m(v) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.2 - -4.2. Let v be (1 - 0)\/(-2 - -4). Let q = 35 + -35.1. Sort v, q, x in descending order.\nAnswer: v, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 9*i - 27 = 0. Factor -2\/3*w**4 + 2\/3*w**2 - 4\/3*w + 0 + 4\/3*w**i.\nAnswer: -2*w*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -792\/493 + 50\/29. What is the smallest value in -3, g, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + t**3 + 2*t + 2 - 4*t + 0. Let g = -195 + 192. Let s be 54\/(-10) - g\/(-30)*-4. Determine u(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831 = -5*s - 3*i + 2010, -6 = 2*i. Let l(v) = -v + 5. Let r be l(0). Suppose 3*f - s = -3*k, 5*f - r*k - 37 = 963. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 5*s - s + (2 + 3 - 4)*(-s + 6*s - 2*s) - 4 + 4 - s - 5*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154132 + 83043 = 7*j + 27182. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 9*k - 72. Suppose -4*y + 53 = 5. What is the lowest common multiple of y and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 2, a: 4, o: 1}. What is prob of sequence ol?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-22)\/8 + 12\/16 + 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7875\/(-450)*96\/15*1 - (33 - 27)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**4 + j**3 - j**3)*(j - 2*j + 2*j - 2*j + 6*j - 3*j + (-2*j - 4 + 4)*(-2 + 1 + 0) + 0*j + 0*j + 2*j - j + 0 + 0).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = t - 180. Solve -4*y + 17 = x, 2*x = 7*x - y + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122022020110220021 - 1?\nAnswer: -122022020110220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109356697\/234 - 467337. Find the common denominator of -91\/90 and b.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -28837*x - 259574. Give n(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 43*y**4\/24 + 13*y**3\/2 - 3*y**2 + 9*y. What is the derivative of l(w) wrt w?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 23. Let l be ((-4)\/(-6))\/(30\/(-18)) - (-94)\/10. Determine w(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 2802?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) -2 (c) 236 (d) -0.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, w: 2, z: 1}. Give prob of sequence zw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3639253261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - r = 46, 3*m + 0*m - 3*r = -108. Let a be (0 - -43)*((-4)\/6 - 89\/267). Let i = m - a. Solve 2*h = -4*p - 14, h = 2*h - i*p - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 15*a**2 + 22400470*a + 14933640 = 0.\nAnswer: -1493364, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 - 31*n - 40. Let w(p) = -3*p**2 - 21*p - 26. Let t(c) = -5*d(c) + 7*w(c). Calculate the smallest common multiple of 9 and t(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - q + 80 = 0. Suppose -g + q*g = 45. Calculate the remainder when g is divided by -3*(-1 - (-2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 3:34 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24534 - 1225?\nAnswer: 23305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1940620 to the nearest 1000.\nAnswer: 1941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 96*d + 713. Let b be x(-8). Solve 5*i + 3*s + 29 + 2 = 0, -b = 3*i - 3*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0031 and -0.05.\nAnswer: -0.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5654 + 7?\nAnswer: -564b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32112032212 (base 4) to base 7.\nAnswer: 43653124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -37*d + 50*d - 30*d. Let o(i) = 7*i**2. Give k(o(h)).\nAnswer: -119*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(2 - 1 + 0)*((-3 + 1 + 0)*(-7*k - 8*k + 9*k) + 3*k + 1 - 1).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13021 - 10?\nAnswer: -13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57199 + -3431797\/60. Calculate the common denominator of q and 131\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*sqrt(1088))**2*-1 + sqrt(1088) + 3).\nAnswer: -48945 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 - 11*t - 6. Suppose -35 + 7 = 7*m. Let y be g(m). Suppose d - y*d = -1015. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -29) + (-5598)\/294\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 4*r - r**3 + 16*r**2 - 25*r**2 - 6. Let c be -3 - 8\/(-2) - -10. Let m = c - 15. Determine n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 4*a - 19. Suppose 3*r + 5 - 20 = 0. Suppose -r*w + 5*v = -45, -3*v - 2*v - 27 = -2*w. What is the greatest common factor of w and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*i - 24 = 263*i. Suppose 0 = -2*h - 2*b - 10, i*b = -5*h - 13 - 7. Solve 2*s + a = -h*a - 5, -2*a = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + 3*g**4 + 6*g**2 - 5*g**2 - g**3 in the form s + u*g**3 + y*g + z*g**4 + a*g**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103111 - 11?\nAnswer: -103122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*((-42)\/(-8))\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*u - 28, 5*a - 77 = -4*u + 135. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 3*m + 235 + 23*m**4 - 460 + 227 to n*m**2 + z*m + l + b*m**4 + c*m**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -475095, -950192, -1425289, -1900386, -2375483, -2850580?\n\"Answer: -475097*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98472*f**3 + 49120*f**3 + 49094*f**3.\nAnswer: -258*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -74866.3 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2 - 2)*(k + 2 - 2) + 6*k**2 - 2*k**2 - 3*k**2 + 5*k + 1 in the form r*k + i + y*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.178219 - 0.121781. Let y = -1.97 - 0.03. Which is the nearest to -1? (a) 4 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117600967 - -67800967. Round t to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*g*x**2 + 7*g + 5*l*x**2 - l*x - 79*l + 6*x**2 wrt x?\nAnswer: -32*g*x + 10*l*x - l + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 16*h + 40. Let l be r(3). Let u(b) = 175*b + 253. Is u(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 + -7.88. Let h = t - 0.28. Round h to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-8)*(1 + 335). What is the highest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9528137 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 4 + 0 + 2 + -1 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k + 4*k - 4*k)*(16 + 7*k**2 - 14 + 0*k**2) as w*k + y + t*k**3 + l*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 4242?\nAnswer: -4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.3 (b) 0.5 (c) 28 (d) -0.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23303232 (base 4) in base 7?\nAnswer: 261003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 861044 - 53725 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t**(1\/3)\/t*t**(-1\/2)\/((t*t**1*t)\/t))\/(((t*t*t\/(t**(-2\/9)\/t))\/t)\/t*t*t**(3\/4)*t*t**(-2\/9)\/t*(t\/t**6)\/t) assuming t is positive.\nAnswer: t**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*v + 2*v, v + 5 = 3*b. Put -1\/4, b, 69 in decreasing order.\nAnswer: 69, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 - z**3)*(0*z**2 + 0*z**2 - 36*z**2) - 3*z**5 + 2*z**5 + 3*z**5 - 1 + 1 - z**5 - 3*z**5 + 6*z**5 - 5*z**5.\nAnswer: 35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314 bigger than 3281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and -53\/10013?\nAnswer: 10013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/280*-4)\/((-5)\/(-40))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -619233 and -288.595.\nAnswer: -619521.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3 and 41\/9206.\nAnswer: 27618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2\/5, -4\/5 in descending order.\nAnswer: 2\/5, -1\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(10\/(-30) + 4\/3). Let r(z) = -z + 8. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103064337.019 + 0.2167\nAnswer: -103064336.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 52*t**6\/15 - 155*t**3\/6 + 15*t - 1. Find the second derivative of g(r) wrt r.\nAnswer: 1248*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(2450)*1)*1)**2 + ((1 + sqrt(2450) + 1 - sqrt(2450)) + sqrt(2450))**2 + (sqrt(2450) + sqrt(2450) + 1)*-1.\nAnswer: -280*sqrt(2) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 4*y + 3*v - 9, 2*y - 1 = -5*v. Let h = -1 + y. Suppose -h*p + 82 = 4*x, 0 = -x + 2*x - 2. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.925848 decades to years.\nAnswer: 59.25848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 577088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3431 = -2*u + 9026, 3*z - 11155 = -4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let x(d) = -d**2 + 28. Let o be x(0). Suppose -5*c + o = 8. Solve b - c = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = -0. Suppose 0 = 3*b - b. Let l be (-2)\/30*w + b. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.9 - -1.2. Let f = 38 - n. Suppose -2*o + 2*y - 25 = 3*o, 4*o + 20 = -4*y. Which is the nearest to f? (a) o (b) -0.5 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3510118 to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 119\/6 (b) 1\/5 (c) -0.1 (d) 1\/7 (e) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1125*j - 13680. Calculate i(12).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2283 - 153. Let k = 463 - y. Calculate the greatest common divisor of k and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-9) - -2)*-3. Let k(o) be the second derivative of o**5\/20 + o**4\/4 - 2*o**3\/3 + o**2 - o. Is k(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 - 12*t**2 - 527*t - 2703. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*(-3)\/16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**3\/l))**12)**(-2\/137) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70592 and 26472?\nAnswer: 211776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6576 is divided by 1307.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -46575021986853 take away 1?\nAnswer: -46575021986854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1811*t**2 - 38*t**3 - 1811*t**2.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (5 - 4) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136849171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hymy when four letters picked without replacement from {o: 6, y: 3, p: 4, h: 1, m: 2}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.243 kilometers in micrometers?\nAnswer: 563243000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37125 divided by 7425.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 at most as big as -166761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 738870289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 3*c = -21*o - 2, -3*o - c + 14 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -2*k + 6*k. Suppose g = -4*d - 4*g + 34, 0 = -3*d + 4*g + 10. What is the lowest common multiple of d and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - h - 766, 2*h + 28 = -5*r + 806. Let o = 32 + -18. What is the highest common factor of r and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2081, 2083, 2085?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784855 to the power of 1\/2, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 2}. Give prob of picking 2 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + ((sqrt(325) + 0)*-4)**2*3)*3.\nAnswer: 46785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149807158 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/4 - 17175*o\/4 + 8585\/2.\nAnswer: 5*(o - 3434)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from opppiooi?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387178756.\nAnswer: 2, 96794689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -101477, 1, -1.\nAnswer: -101477, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 12}. Give prob of sequence tztt.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + 3 + sqrt(833) + 0 - -5*1*sqrt(833)*6)*3)**2*-4.\nAnswer: -28818664 - 36456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41836 * -4.\nAnswer: 167344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7003 and 298?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -563*n**2 - 34*n**3 + 563*n**2 + (-3 - 1 + 5)*(n**3 + 0*n + 0*n) - 2*n**3 + 0*n**3 + 4*n**3 - 4*n**2 + n**3 + 4*n**2.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 617*i + 294*i + 923*i - 47684 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 at least 443789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32972 - 32979. Let k(a) = -a**2 + 7*a + 10. Let f be k(8). Let v(q) = -3*q - q**f + 0 - 1 + 2. What is v(s)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/2 + 87063*x**3 - 696515*x**2\/2 + 435324*x - 174130 = 0. What is x?\nAnswer: -174130, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.370476 plus -0.97?\nAnswer: 10.400476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 - -5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8824386 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -881*x. Let d(c) = -2*c**2 + 57*c + 3. Let r(v) = 3*v**2 - 95*v - 5. Let p(k) = -5*d(k) - 3*r(k). What is p(b(f))?\nAnswer: 776161*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1201?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9330 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -16 + 6. What is the third derivative of -5*x**3 + 0*x**2 - 3*x**h + 3*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 346. What is the closest to -1\/4 in 179, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4635 and 669015.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113310 + 113309. Let l(k) = -k**2 - 4*k + 4. Let z be l(-4). Sort a, 0, z, 1 in descending order.\nAnswer: z, 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = k, 3*k - 1 = h - 12. Let j(i) = 0*i + 0*i + 6*i**h - 3*i**2. Let a(u) = -4*u**2. Determine a(j(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 2) + (-2 - -3))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + -36.95505566.\nAnswer: -36.15505566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1712 and 26943028?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 505\/55 - 5. Which is the second biggest value? (a) d (b) -12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2179269 and 8667?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 34*g**2 - 66*g + 484. Does 5 divide v(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -21. Which is the biggest value? (a) 1 (b) -3\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46117, 92098, 138079?\nAnswer: 184060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 5. Let q = -0.1977 - -182.5977. Let s = q + -182. What is the third biggest value in s, -0.4, -4\/9, b?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, -0.11, -10, -2\/5, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5802861385 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64687735 is divided by 104.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 13 = 15. Let m(w) = -w**3 + 8*w**2 - 5*w + 16. Let c be m(l). Let j = c - 11. What is the highest common factor of j and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361461707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 134\/3. Let r = 347 + -341. What is the third smallest value in r, y, 1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 12. Let j be g(-5). Calculate the highest common factor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -10536\/25, 1\/7, -2\/19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669*o**2 + 772*o**2 - 1443*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one quarters of a second?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325 and 1417.\nAnswer: 35425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18436149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -58.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**3 + 6*w**2 + 6*w + 13. Let s(i) = -7*i**3 - 5*i**2 - 5*i - 13. Let g be ((-23)\/42 - (-105)\/490)\/((-1)\/(-15)). What is g*m(r) - 6*s(r)?\nAnswer: 2*r**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qqqbzqzvzznnzdv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/17 - 342*u**3\/17 + 11818*u**2\/17 + 240870*u\/17 + 864900\/17 = 0.\nAnswer: -10, -5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 5*f, -z + 3*z + 2*f - 16 = 0. Let l = -83 + 73. Let x be ((-24)\/(-16))\/((-1)\/l). Solve x + z = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/7, -0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p + 8. Calculate o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00878697 rounded to six decimal places?\nAnswer: -0.008787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**3 + 3*j + j + 15 + j**3 - 15*j - 6*j + j**2.\nAnswer: (j - 3)*(j - 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-24)*(-14)\/(-42)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3567772944 by -2.\nAnswer: 1783886472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5004798 by -1668266.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494065 divided by 5?\nAnswer: 1098813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.004 + 0.096. Let h = -0.1 + w. What is the third smallest value in 0.1, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 397 + 1 + 1*-2. Let w(q) = 7*q + 40. Let y be w(12). Suppose 6*p + y = 4*r + 10*p, -169 = -4*r + 5*p. Calculate the highest common divisor of r and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -21.1, -57.19 in ascending order.\nAnswer: -57.19, -21.1, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*y - 152, w = -3*w + 2*y + 144. Suppose 0 = -2*q + w - 507. Let n = -123 - q. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o + 0*o - 3*o)*(-10 + 6 - 14 + 3 - 5 + 1 + (2 + 1 - 4)*(-2 - 2 + 2) - 3 + 0 + 4 - 3 + 1 + 4) to j*o + w and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -19*y**6\/60 + y**5\/5 - 2*y**2 - 30*y. Find the third derivative of f(n) wrt n.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(99\/6))\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/5, 1\/3, -0.2, 9850 in ascending order.\nAnswer: -0.2, 1\/3, 11\/5, 9850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2730)\/(-1144) + (-175)\/275.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/((-8)\/156)*(-22)\/(-66))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x. Let i be f(1). Let p(k) = 3*k**3 + 2*k**2 + k - 2. Let s(b) = 7*b**3 + 6*b**2 + 3*b - 4. Let a(c) = -9*p(c) + 4*s(c). Determine a(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14613727?\nAnswer: 17, 83, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:16 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14560 + 15108. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1093\/4 - -275. Let 9\/4*i - h*i**2 - 1\/2 = 0. What is i?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -200 = -j - 9*j. Solve -j = -v*g + 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*u + 19 = -6*u, 0 = -5*p - 3*u - 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8072 - 5750. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001012 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -439, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215730*s**5 + 134268*s?\nAnswer: -4314600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4 + 2*k**3 + 9*k**2\/2 + 7*k - 1510. Let b(u) = -2*u**3 - 3*u**2 - 4*u - 3. Determine -9*b(y) - 4*t(y).\nAnswer: 2*y**3 + 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 23 - 40 + 21 + p. Let g be x(-2). Let o(y) = -4*y - 2. Let t(w) = -15*w - 9. What is g*t(i) - 9*o(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -646, -1282, -1874, -2398, -2830, -3146?\n\"Answer: 4*s**3 - 2*s**2 - 658*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckwk when four letters picked without replacement from {w: 2, k: 7, c: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/(h*h\/(h\/(h\/(h\/h**15)))))**(-11) assuming h is positive.\nAnswer: h**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 greater than or equal to -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -160. Let z be (23\/(-23))\/(f\/(-6)). Let r(j) = j**3 + 7*j**2 + 6*j + 9. What is r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-5*(sqrt(78) + (sqrt(78) - sqrt(78)*2))*6)\/((sqrt(2688)*1)\/(sqrt(28)*1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ootottttttttjo. What is prob of sequence tjo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 1 c when three letters picked without replacement from {w: 4, c: 2, h: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/((6\/14)\/((-750)\/105))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36016643 (base 7) to base 12\nAnswer: -109504b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 591611921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 7344201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - 8*h**2 + 26*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/230 and -17\/13?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -12. Let c = 6 - f. Let y be (-2)\/4*c\/2. Solve y*z + 4*z - 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8*v - 12. Suppose -v*l - 5*q + 5 = -8, 8 = 3*l + 2*q. Solve -5*d = 3 + l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12322 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - -21.4.\nAnswer: 55.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*d**4 - 371220*d - 27418895 wrt d?\nAnswer: 80*d**3 - 371220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/7 - 10*b + 4\/7*b**2 = 0. What is b?\nAnswer: -1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 40*c**2 - 5*c**5 + 43*c**2 - 82*c**2 - 253*c - 179. What is the derivative of d(k) wrt k?\nAnswer: -100*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 - 2*b**2 + 7*b + 8. Let r(l) = -9*l**3 + 4*l**2 - 13*l - 17. Determine -6*r(c) - 11*t(c).\nAnswer: -c**3 - 2*c**2 + c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - s + 8 - 59 - 14 + 0*s.\nAnswer: 8*s - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-94)\/(1 - (-6)\/(-2)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -42. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*c - c + 15 = 0, 0 = -3*x + 4*c - 40. Let k = -7 - x. What is the second derivative of -o**4 - k*o + 0*o**4 + 0*o wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 1. Let i be c(1). Let g(z) = -z**3 - i + 0*z - 9*z**2 + z + 18 - 12*z. List the prime factors of g(-10).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-2)\/6*-6. Suppose 15 = v - u*j, 5*v - 2*v + 20 = -4*j. Suppose v*i + 3 = 2*x - 5*i, -i = -3. Calculate the least common multiple of x and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 27. Let p = -34 + 35. Suppose p = 5*q - b. Solve -1 = -w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chl when three letters picked without replacement from hhflhalhahhhhaclchch?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197724, 395455, 593188, 790923, 988660, 1186399, 1384140?\nAnswer: 1581883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 11. Let p = 4 + -1. Let i(q) = -q - 4. Let y(j) = p*a(j) + 8*i(j). Let t be 2 + -4 + 6 + 0. Give y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, m: 2, k: 1}. What is prob of sequence mr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -19 + 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 60. Suppose 0 = -3*a + i + i + 491, 821 = 5*a - 4*i. Let g = y + a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 24\/(-64)*-356. Let n = 126 + c. Sort 39, n, 0.4 in ascending order.\nAnswer: n, 0.4, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 11. Let n be w(-10). Suppose 9 = -3*z + 4*v, -z + 3 = v - n. Solve 3*y - z = 2*d, -4*y + 3*y - 4*d + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -55. What is the highest common divisor of 35 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108806 in -2\/7, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 17*u = -90. Let v be u + 10 + 4\/1. Let x(r) = r**2 + 4*r - 2. Give x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:04 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-1\/8)*q)\/q)**(-13)\/((q*q*((q**(-8)*q)\/q)\/q)\/q**(1\/8)) assuming q is positive.\nAnswer: q**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:06 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 5634*z + 82933680 = 0 for z.\nAnswer: -4402, 6280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-9) + (-9)\/(-2)*(6 - 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, 3, 0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -1. Let h = -0.02 + 0.02. What is the biggest value in h, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*f - 909*f = -1635*f + 6876 + 6564 for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from meeeeme.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 15*h + 9. Let m be b(-15). Suppose 0 = 4*l - 3*l - m. Calculate the smallest common multiple of l and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and -93.\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from gkkkkqkkqggkggkkkkkk?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 3)*(-11)\/(-1). Let n be g\/12 - (-2)\/6. Suppose -19 = -w - 3*r, -n*r + 5*r + 1 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 34*d - 854. Determine f(23).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5828 is divided by 5108.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + 1. Let a(w) = 2*w + i + 17 - 11 + 19. What is the tens digit of a(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8984, 17844, 26704, 35564, 44424?\n\"Answer: 8860*x + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 14*x + 40534 = 0. Suppose 2*c + 0*c - 60801 = -3*w, 3*c = -2*w + x. Suppose 0*m + 13*m - w = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 7 - (1 + 3) - 6. Suppose 5*w - 2*y - 12563 = 0, f = -5*w - 5*y + 2169 + 10401. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*m + 3*h + h, 4*m = -4*h. What is the remainder when 18 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (25655\/70)\/(1\/168) - (-9 + 1).\nAnswer: 2, 5, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5167 times 56.69\nAnswer: -292917.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/7 and 3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -700 + 993. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from prpppvxlpxrrp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2878 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 7. Let r(f) = 2. Let d(i) = -4*r(i) + 2*u(i). Calculate the remainder when d(4) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 666, 716, 782, 864, 962?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 239\nAnswer: 21\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0*n + 17 + 0 - 5 - 382*n**2 + 9*n.\nAnswer: -382*n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*p + 150 = 0, 0 = -2*g + 5*p + 116 + 55. Calculate the least common multiple of g and 45.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-1*-5*-5)\/((4*sqrt(32))\/(sqrt(2) + (sqrt(8) - sqrt(32)))).\nAnswer: 75*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i + 3. What is the tens digit of r(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Suppose 54*n - 19 = 53*n + 32. Calculate the lowest common multiple of h(6) and n.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 10:58 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6103 (base 7) in base 5?\nAnswer: -31420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**2 + 5*i + 36. Let m be g(-10). Let w = -318 + m. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -182 - 16. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + 14*m**3 + 10*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6459*t**3 - 620106*t**2 + 14885568*t - 96768.\nAnswer: 3*(t - 48)**2*(2153*t - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((-5 - -8) + -6). Suppose b = u - 5*u + 3*q + 32, -3*u + 24 = -3*q. Solve 11*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8204 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)*i\/(i**12\/i))\/(i*i**19*i*i**(8\/3)))**(2\/29) assuming i is positive.\nAnswer: i**(-1022\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1465, -1467, -1469, -1471, -1473?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(7\/(49\/182))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90442 is divided by 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2016)\/84)\/((-294)\/28)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-9 - (10 + -5 + -5)) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 9*s**2 - 3*s + 8. Let a(u) = u**2 + 11*u - 24. Let i be a(-13). Suppose -20 + 6 = i*k. Is l(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 284664.2 weeks?\nAnswer: 172164908160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*n - 1 = 11, 4*n = -5*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 67 = -46*p + 798. Calculate the remainder when 97 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*n - 88250, -3*a - 3*n = -91179 - 41196. List the prime factors of a.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 8*t. Let q be r(8). Suppose -99 = -4*z - 5*u, q*z + 4*z - 69 = 5*u. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 383 - 2183. Suppose s + 3*s = r + 735, 2*s - x = -2*r. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -226.517429 and -5.\nAnswer: -231.517429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 250, 499, 748?\n\"Answer: 249*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(1 + a - 1) - a + 3 - 3 + (a - 2 + 2)*(14 - 11 + 13) - 3 - 2*a + 3 + 4*a - 2*a - 3*a - 5*a + a + 6*a to p + o*a and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15778469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = d - 2. Suppose 5*a - 2 - d = 0. Differentiate a - 5 - 2*v**4 + 3 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a392ac - -2?\nAnswer: -a392aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -1\/4*t**4 + 2\/3*t**3 - t + 0 + 0*t**2. Find the second derivative of m(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 20 - 600. Let f = w + -66. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44118 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let w(b) = -b**3 - 2*b**2 + 3*b + 4. Let k be w(v). Suppose -2*d + 12 = k. Solve 3*g = d + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 5626*w**2 - 5002246*w - 1353946622.\nAnswer: -2*(w + 511)*(w + 1151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1036 + 452. Let x = i + 1194. What are the prime factors of x?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4573670?\nAnswer: 2, 5, 457367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 11. Suppose 2*i - z - 70 = 0. Let x = 84122 - 84104. What is the remainder when i is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7202*l**2 - 3588*l**2 - 3604*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 294 = -19. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f, -5*j + 5*f - 59 = 2*f. Let q be -3*(1 - j\/(-6)). Suppose 17 = -q*t + 137. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 12. Let k(s) = 1. Let g(j) = -5*k(j) - l(j). Let t be g(5). Suppose 5*i = -t*n + 30, 54 = -n + 6*n + 2*i. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45282, 45281, 45280, 45279?\nAnswer: 45278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*(7 - -5). Solve -3*d + t - 5 = 3, q*t = d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -762 (base 13) to base 4.\nAnswer: -103233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*i*n + 6*g*i + g*n**2 + g + 3*i + 39*n**3 wrt n.\nAnswer: -2*g*i + 2*g*n + 117*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 - 10*w**2 + 20*w + 40 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 119670, 119665, 119656, 119643?\n\"Answer: -2*b**2 + b + 119671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {q: 1, m: 1, l: 2, e: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 5*n - 36, 0 = 5*l - 2*n - 29. Suppose 29*d = -l*d + 8100000. What is d rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 18*g**2 + 2*g - 5. Calculate the remainder when 61 is divided by u(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 0*x - 2*x)*(-3*x**3 + 0*x**3 - x**3)*(x + 0*x - 3*x + (-2*x + 5*x - x)*(0 - 2 + 3) - 2 + x + 2).\nAnswer: 44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 55*k = 59*k + 82, -2*h = 4*k - 66. What is the second smallest value in -1\/3, h, -17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-1247)\/108489).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4\/5 + 87*j**3 - 14154*j**2\/5 - 23712*j - 103968\/5 = 0?\nAnswer: -6, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25\/54 + 1\/216. Find the common denominator of y and 31\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, x: 7, y: 2, r: 1, z: 1}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + (11 - -42))*((-2)\/6 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6618 in -2\/13, 111, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555 - -576. What is the least common multiple of 168 and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 10*x**2 - 30.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 6*h + 1. Give b(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 16*d - 27. Let g be o(14). Put g, 0, 2, -1 in increasing order.\nAnswer: -1, 0, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*d + 15 = 0, 2*u - 4*d - 14 = 4. Let g be (-3)\/12*2*0*1. Solve g = -u*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12760 and 12760 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407598 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: Simplify (d\/(d*d*d**4))**(-19)\/((d\/d**(-2\/37))\/(d**(-4\/5)*d)) assuming d is positive.\nAnswer: d**(17417\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6799*n + 22. Let p(a) = 6805*a + 24. Give -13*c(u) + 12*p(u).\nAnswer: -6727*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 350 - 341 = 3*j, -j - 3*n = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3493299.\nAnswer: 2\/3493299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33443, -64381, -95317, -126251, -157183, -188113?\nAnswer: -219041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4840085909?\nAnswer: 349, 661, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 19*m**2 - m + 15. Let f be t(-19). What is the greatest common divisor of 102 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) 2\/51 (c) 125\/2 (d) -4\/5 (e) -1 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2. Let q be k(-3). Suppose 4*j - 18 = -3*u, 0 = -3*j + 5*u + 3 - 4. Let v(p) = -j*p - 3 - 3 + 0*p. What is v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.148050581 to 5 decimal places.\nAnswer: 0.14805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(4400) + 0)**2 + 3 + sqrt(4400) - sqrt(4400)) + -5) + -5.\nAnswer: -21995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:42 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2162*n**4 - 637*n + 4 wrt n.\nAnswer: 25944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 436*r + 309*r + 197*r + 29202 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3538*b**2 - b + 2244.\nAnswer: -7076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 139*k**2. Let m(t) = -555*t. Calculate j(m(f)).\nAnswer: 42815475*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -910 + 906. What is the biggest value in 3.9, -2\/21, j, 2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -24.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 29. Let o be b(15). Suppose -2*i + 8 = -5*l, -4*i = 6*l - 3*l - o. Let d = l - -27. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + 79 + -165 + 40 + 3 + -2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 2*i)*(22*i**2 - 40*i**2 + 17*i**2 + 13).\nAnswer: -i**3 + 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102491562 + -20?\nAnswer: 102491542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)*t\/(t*t*t*(t*((t\/(t\/((t**(6\/7)*t)\/t)))\/t)\/t*t)\/t)*(t\/(t**4*t))**(7\/2) assuming t is positive.\nAnswer: t**(-347\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10102 + 18021. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 3*g - 5*g - 2*g**2 + 4*g**2 as h*g**3 + j*g**2 + x*g + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6264\/96 - 14 - 8\/32.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/5 - 34*s**3\/5 + 192*s**2\/5 - 416*s\/5 + 256\/5.\nAnswer: 2*(s - 8)*(s - 4)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -727\/12 + 28529\/468. Let s = -2\/13 + p. What is the fourth smallest value in -3\/8, s, -2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 36*r - 3 - 6 - 45*r. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2342579 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -0.1303681844?\nAnswer: 0.4303681844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20185.35ng?\nAnswer: 0.00002018535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1764709*x + 1884438?\nAnswer: -1764709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b**18 assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/(-66)*((-11)\/(-220)*-8)\/((-4)\/55)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, a: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 350, 20, -2753 in increasing order.\nAnswer: -2753, 20, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m - 3*m**3 + 996 + 5*m**3 - 995 to l*m**2 + g*m + b*m**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1458 - 1329. Let k be ((-4)\/6)\/((-2)\/78). Suppose -g + k = -j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2400 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*i + 11*i + 30*i - 13*i as c*i + n and give c.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:28 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -168\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.063 - -0.08364. Let t = -0.22 + 0.2. Let b = t + d. What is b rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = x - 2*t, 3 = -2*x - 4*t + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u - 37. Let f be j(-36). Suppose -f = -2*i + 123. What are the prime factors of i?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/240 - d**5\/40 - d**4\/24 - 3*d**2. Let a(s) be the second derivative of v(s). Differentiate a(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzczzzzzzcz. Give prob of sequence cc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 + 1982775*g**2 - 3965565*g + 1982785 = 0. Calculate g.\nAnswer: -396557, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106698*y**4 + 100896?\nAnswer: 426792*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcczllllczllclacll. What is prob of sequence alz?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478440.415 rounded to the nearest 100?\nAnswer: -1478400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-2 - (sqrt(847) + -1).\nAnswer: -9*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -212*v**5 - 1056*v**4 + 232*v**3 + 3600*v**2 - 2612*v + 48 = 0.\nAnswer: -4, -3, 1\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -820 - -820. What is the third derivative of 5*h**2 - 33 + h**5 + 9*h**6 + 13 + 4*h**6 - 6*h**2 + q*h**2 wrt h?\nAnswer: 1560*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74622441661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17*y + 11. Let s(v) = -7*v + 5. Let n(i) = -2*f(i) + 5*s(i). Let p = 111 + -115. What is n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 5*q**3 - q**2 + 3*q**2 + (-2*q - 1 + 1)*(0*q**2 + q**2 - 3*q**2) + 0*q**3 + 12*q**3 + 3*q**3)*(7*q**2 - q**2 + q**2).\nAnswer: 140*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70425*r**3 + 70429*r**3 - 140821*r**3.\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58123\/23 + 2527. What is the second smallest value in t, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1\/4, -0.5, -11.2, -1166\/3?\nAnswer: -1166\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {s: 3, b: 2, w: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -d8d4?\nAnswer: d8cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbs when four letters picked without replacement from sblbkkkbklskk?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d53 (base 14) to base 15.\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 310\/186*31\/155*5\/8. Let f = 2.2 + -2. Which is the closest to 0? (a) -4 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszshvjsozvzsj. Give prob of picking 1 z and 1 j.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - (-61 + 130)) + (2 - -33) + -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 7) to base 14\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156303 and 756?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 6) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508.0983 rounded to 0 decimal places?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 2, w: 1, f: 1}. What is prob of sequence uf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 15*p + 29. Let u be s(17). Let a = -12116\/15 + 808. What is the second smallest value in 1, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*c + 392 - 435, 0 = -3*g + c + 25 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 168 = 17*c - 29*c - 3*d, -10*c - d = 3*d - 518 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 + 14*y**2 + 225*y + 2323. Is 7 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*5*(-56)\/20. Let k be g\/(-4)*4\/7. Suppose k*i = 5*l - 44, l - 4 + 0 = 2*i. Is l at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-1 - 6) + -1 + -2. Solve -5*k + 26 - z = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181545 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: Let r = 50849 - 4576361\/90. Let n = -2\/45 + r. Let 3\/2*q - n*q**2 + 0 = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 + 2 = -3*r, 0 = -4*r - 3*q - 6. Suppose l - 6 = 3*l. Let m = l + 6. Solve 0 = -m*j - r*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21847547699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 11*c**2 - 10*c + 10. Let a be z(-10). Let h(j) = -j + 7. Let t be h(a). Put 5, 1, t in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -1\/2, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6626119 and 64856?\nAnswer: 6690975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2)*(22*n**3 + 5*n**3 - 8*n**3) + (2*n**3 - 3*n**2 + 3*n**2)*(-1 - 1 + 0).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14\/x**(-7))**(16\/11)*x\/x**(-6)*x*x*x*(x**9\/x)\/x*x*x**(-5\/6)\/x**1 assuming x is positive.\nAnswer: x**(3083\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -75*p**5 - 210*p**4 - 57*p**3 + 186*p**2 + 132*p + 24 = 0?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 23*w**2 - 129*w + 10. Calculate the remainder when z(-8) is divided by 70.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73910.37 tonnes in milligrams?\nAnswer: 73910370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 times 5?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1 + -3 + 120. Suppose -3*n - y + 7 = -50, 2*n + 5*y - 25 = 0. Suppose -2*j = -3*j + n. What is the greatest common factor of f and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, -3, -9, 48 in ascending order.\nAnswer: -9, -3, 48, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/4 - 59*p**4\/4 + 835*p**3\/4 + 1203*p**2\/4 - 1170*p + 675 = 0. What is p?\nAnswer: -3, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 939080 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -3 - (-13 + -22 + 30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 0.74, -1\/5 in decreasing order.\nAnswer: 0.74, 0.5, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85.1 - 60. Let z = a + -25. Is -5\/4 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.189 (b) 2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, a: 1, m: 12}. What is prob of sequence ams?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 3*l - 4. Let w be j(5). Suppose -2*b + w = -0*b. Suppose 11 = -3*n + b. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjw when four letters picked without replacement from {q: 1, w: 3, j: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -399? (a) -6 (b) 0.5 (c) -0.4 (d) -0.1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*i = -86*i - 827*i + 24293 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(4104\/288).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from xgmemmguuuuugm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Suppose -4*j + 5*t = -35, 2*j = -w*j + 2*t + 50. What is the highest common divisor of 135 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -1*(3 - -352). Suppose 4*m - 2*m = c. Calculate the remainder when m is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 19. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -2)\/10*0 - -20. Let a be (l\/(-6))\/(106\/(-159)). Solve -a*s - 1 = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let n be 42\/t - (-1)\/2. Suppose 0 = -4*h + 3*h + n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 4*d - 4. Let r(i) = 21*i**2 + 18*i - 9. Let x(n) = 43*n**2 + 37*n - 22. Let c(m) = 5*r(m) - 3*x(m). What is 4*c(b) + 21*q(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 21*b - 156. Let d be v(-6). Calculate the greatest common divisor of 273 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.14. Let q = -0.04 + d. Which is the closest to q? (a) 3 (b) -5\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 + c**5\/20 - c**4\/24 - c**2 - 37. Calculate r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12778 - -13022. Calculate the remainder when 718 is divided by s.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/4)*b**(-14\/5)*((b\/(b\/(b\/((b*b**(-1\/15))\/b)*b)*b))\/b)\/((b*b**(-7\/5))\/b))**(2\/29) assuming b is positive.\nAnswer: b**(11\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -31. Let s = -1 - v. Solve -t + s*t = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3872, 7764, 11652, 15536, 19416?\n\"Answer: -2*y**2 + 3898*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let q be (o*4)\/((-10)\/(-55)). Suppose 3*c = -p + 18, -4 = 5*c + 5*p - q. Let x(g) = g**2 - 6*g + 6. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -219*m - 3\/20*m**5 - 95\/16*m**4 + 54*m**2 + 0 - 69*m**3. Factor i(a).\nAnswer: -3*(a + 12)**2*(4*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 6. Suppose -3*k + 2 = -5*k - 3*f, -4*k = r*f - 2. Let m = 48 + k. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 171067.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 27199 = 14*q + 27385 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3861.614 - 2.386. Let s = z + 3864.11956. Let k = s + -0.12. What is k rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j*j**0)*j)\/j*j))\/j)\/(j*j**(1\/6))*j\/j**(-1)*j*j\/(j*j**5) assuming j is positive.\nAnswer: j**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1850.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 3*r)*(r**3 + 2*r**3 - 4*r**3) + 2*r**4 - 6*r**2 + 6*r**2.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, 2\/3, -13, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 8*r**2 + 29*r - 18. Give b(-4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.6692 - 19.61. Round s to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10284 = -4*c - 2*x + 4*x, -5146 = -2*c + 2*x. Suppose 16 = -3*a - a, 5*l + 4*a - c = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.2507 times 3?\nAnswer: 519.7521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -39*a**2 + 120*a + 5. Let r(s) = 46*s**2 - 121*s - 6. Calculate 6*g(p) + 5*r(p).\nAnswer: -4*p**2 + 115*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000396726 rounded to six dps?\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -s + 2*s. Suppose u + b + b - 5 = 0, 4*u - 4*b = s. Find the second derivative of 9*v**u - 9*v - 202 + 202 wrt v.\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 13*o**3\/2 + 10*o**2 + 9*o. Differentiate d(c) wrt c.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6745 + -6741. What is the nearest to d in 0.2, 1, 22.1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150996618 to five dps.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**14*j**(1\/15)*j**11 assuming j is positive.\nAnswer: j**(796\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2ed (base 16) to base 2\nAnswer: 1011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -328. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -4*o. What is the third derivative of -f**6 + f**2 - 2*f**6 - f**2 + o*f**2 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*x = 44, 3*m - 44 = -0*m + 4*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 + 4*d**2 - 4*d - 4. Let l be b(-8). Calculate the common denominator of (2\/l)\/(12\/344) and -47\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -42, -139, -326, -633, -1090, -1727?\n\"Answer: -5*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/(-15) + (-4)\/(-6). What are the prime factors of (d\/(-9))\/(1\/(-207))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 4. Let h be t(6). Let j(a) = a - 2. Let w be j(h). Suppose -3*d - s + 4*s + 42 = w, -2*d + 27 = -3*s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 11, 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/6 + (-1)\/(-1). Suppose 2*q - t*y - 158 = 2*y, -3*y = 0. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -2.6, 0, -3137, -41, 1\/5?\nAnswer: -3137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 + (-187)\/(-66). Let g(l) = 8*l**2 - 27*l. Let c be g(4). Solve k - y = w - 8, 3*w = -4*k - c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3 + 2*a - a)*(-1 + 2 + 4*a**3 - a**3 + (-38*a + 38*a - 18*a**2)*(a + 0*a + 0*a)).\nAnswer: 30*a**4 - 45*a**3 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let m(b) = -2*b + 1. Let k be (32\/(-4))\/(-3 - (-66)\/18) + 6. What is k*u(y) + m(y)?\nAnswer: -8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 4*k**4 - 19*k**4)*(-8*k + 11*k + 10*k).\nAnswer: -286*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -135*v**2 - 215*v - 45. Let i(t) = 15*t**2 + 24*t + 5. Let h(o) = 35*i(o) + 4*z(o). Factor h(a).\nAnswer: -5*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32883 is divided by 8184.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9204 - 7.0796. Let w = -14.7 + 14. Let n = -0.6 - w. Which is the third smallest value? (a) q (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3430144 (base 6) to base 3\nAnswer: 22220002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 232 = 40*i. Calculate the remainder when 24\/72 + (-1348)\/(-6) is divided by i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5869*o + 4*d = 5871*o + 60, 64*d - 168 = -o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(18\/(-4))*3. Suppose -6 = o - 5*t, 2*o - t - w = o. Let m = 15 - o. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - s**4 + 14 + 4*s**2 - 1 - s**4 - 20 + 20 - s in the form p*s**3 + o + n*s + u*s**2 + x*s**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -16. Suppose -5*d = -3 - c. Suppose b + 22 = d*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1100 + 1100.549. Round n to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 + -81. Let r = -45152 - -45190. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5066663391020 - -0.3.\nAnswer: -5066663391019.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 20830231 to the nearest 100000.\nAnswer: 20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d + 680 = p - 87*d, d = 5*p - 3344. What is p rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w - 13. Let g(y) = -14*y - 14. Give 5*g(c) - 6*r(c).\nAnswer: 20*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -14, -10, -8, -8?\n\"Answer: -m**2 + 9*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*d + 16, 0 = 5*w + d - 3*d - 5. Let s = 0.01 - -1.99. Let r = -3 - s. Sort -2, w, r in descending order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 256.463.\nAnswer: -2051.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38486101*v**4 - 4385388*v?\nAnswer: -461833212*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474328970 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14623615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqtbce. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -195.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 63, 0 in descending order.\nAnswer: 63, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -v + j - 5*j, -v + j + 82 = 0. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 + 18 - (12 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.80986 * 4.\nAnswer: -23.23944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/1607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**3\/3 - j**2\/2 + 21. What is p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255348794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1355*v**3 + 10*v - 1 wrt v?\nAnswer: -8130*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50435114 (base 6) to base 7\nAnswer: -15130000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4)*4\/(-6). Solve i*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/k**(-7)*k)\/k)\/k)\/k**(-1))**(-9\/8))**(-42) assuming k is positive.\nAnswer: k**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2588499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - 4022?\nAnswer: -403c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -66. Is q + -10 + 5 - -1065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34262139*q + 81225016?\nAnswer: 34262139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1301646248513 and -6.4?\nAnswer: 6.2698353751487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 9:13 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 18}. What is prob of sequence vjvj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/5 + c**4\/12 - c - 3. Let n(v) be the first derivative of h(v). What is the third derivative of n(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1 - (-44)\/32). Suppose -m = 3*m - s. Suppose -4*z + 0*z + 4 = -4*f, -2*z - m*f + 18 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:17 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 6) to base 15\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -1\/2, -450, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/2)\/(105\/60). Suppose -3*d = i - 11. Determine t, given that -64\/13*t**2 + 114\/13*t - 36\/13 + 10\/13*t**d = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 - 7 = 0. Suppose -z*f = -f - 7. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -209, -206, -151, -26, 187, 506?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1839926 divided by -7603\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14321726?\nAnswer: 2, 139, 51517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let a = -34 + 36. Let c(x) = -x**a + 0*x**2 - 5*x**2 - x**2. Determine w(c(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjw when three letters picked without replacement from {j: 1, w: 3, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -438 + 639. Differentiate -a - 132*u**2 + 150 + 200 wrt u.\nAnswer: -264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, -1, -5, -2193?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/451440 and 16\/51015.\nAnswer: 80807760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 10) to base 6.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -19. Calculate the remainder when g is divided by -3*((-40)\/15)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose 0*y + y + 3 = 0. Put 4, b, y in ascending order.\nAnswer: y, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -100, -195, -288, -379, -468, -555?\n\"Answer: f**2 - 98*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 2. Let x(c) = -3*c + 9. Let p(h) = 9*t(h) + 2*x(h). Let s(u) = 6*u. Give p(s(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 - 131*b**2 + 508*b + 4. Calculate k(4).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79894913.\nAnswer: 7, 29, 393571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 5190*v + 1417800.\nAnswer: 3*(v - 1390)*(v - 340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-20))\/((-3)\/(-6) - (-780)\/(-600))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10560 + 10563. Solve -2*b - f = y, 8*b - 6*b - 27 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**4 - 2*o**3 - 21*o**2 - 41*o + 420745 wrt o.\nAnswer: 24*o**3 - 6*o**2 - 42*o - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjvv when four letters picked without replacement from {v: 8, j: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 13*s**2 + 9*s - 59. Let t(m) = -m**3 + 6*m**2 - 4*m + 29. Suppose -5*p = 3*z - 22, 3*z - 4*p = -45 + 49. Calculate z*i(g) + 9*t(g).\nAnswer: -g**3 + 2*g**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*sqrt(931)*-3 + -5 + 0.\nAnswer: -10 + 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19608*s**3 - 12807*s**2. Let z(w) = 1032*w**3 + 674*w**2. Let r(x) = -2*f(x) - 39*z(x). Find the third derivative of r(t) wrt t.\nAnswer: -6192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -25721*m + 771604. What is r(30)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -22 + 8 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + h**2 + 3*h**2 + 7*h**2 as o*h + v + w*h**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -30959186?\nAnswer: -1\/30959186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1*sqrt(325) - (sqrt(637)*1 - sqrt(637))) + 3.\nAnswer: -4*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d - 3*d - 218*d**3 - 3*d - 2*d - 12 to the form k*d**2 + i*d + b + g*d**3 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6285148452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from ccclclc.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 3, o: 4, w: 1, l: 2, c: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-39)*806\/(-3968)*32.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.045 - -0.445. Let y = 0.01 + n. Let x = 0 + y. Which is the third biggest value? (a) 5 (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 35 (c) -3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1965 = 5*f, 2*f - 5*l - 1539 = -2*f. Is f 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 172905?\nAnswer: 3, 5, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31696 or 31697?\nAnswer: 31696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 60\/(-28) + (-18)\/(-3) + -3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*u**5 - 71691*u**4 + 142826383*u**3 - 237900609*u**2 + 111002232*u - 15856324 = 0. Calculate u.\nAnswer: 1\/3, 1, 3982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760154, 760126, 760068, 759980, 759862, 759714?\nAnswer: 759536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 15 = 27*f. Which is smaller: 2\/177 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6391671 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: How many minutes are there between 7:35 AM and 4:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*m + 513*m = 6846. List the prime factors of m.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 8*v**2 - 15*v - 18. Let s be z(-9). Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmcckq. Give prob of sequence qkmk.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 43.9. What is the third biggest value in q, -1\/12, -0.3, 2\/15?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(5*i + 4*i - 3*i + (5 + 0 - 3)*(i + 2*i - 4*i) - 4*i + 7*i - 4*i + 20*i - 6*i - 4*i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 + -130. Suppose 0*u + 3*u = f. Calculate the remainder when u is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-10) + 166005\/(-13950)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283779915*v**3 - 19774307*v - 1.\nAnswer: 1702679490*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148004 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8667.969996 - -8668. Let b = l - 0.03. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h. Suppose -o + 59 = 5*b, h = -5*o - 4*b - 0*b + 190. Suppose 5*g - 51 = 119. What is the greatest common factor of g and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*j + 102, 3*h - 7*h + 94 = j. Determine d, given that -11*d + 5*d - 2*d**2 - h*d**4 + 6*d**3 + 22*d**4 + 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/60 + g**5\/20 + g**4\/12 + 6*g**2. What is x(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 186. Let q(v) = 5*v**2. Determine q(d(p)).\nAnswer: 20*p**4 - 3720*p**2 + 172980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7783?\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + 6. Let u be d(-5). Suppose -3*s + 6*s - u = 0. Solve 13 + s = 5*v - 5*i, -i + 2 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-2 - 2) + 8). Let d = 1595 + -1605. Sort d, h, 5, -3 in increasing order.\nAnswer: d, h, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(612)*2)*-6 + -5 + (sqrt(612) - (sqrt(612) + -2 - sqrt(612))) + (1 + sqrt(612))*-4 + 1)**2.\nAnswer: -10584*sqrt(17) + 271656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7107291 to the nearest integer?\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n - 1. Let h be p(1). Let s(r) be the first derivative of -h*r + 0*r**2 - r**2 - 1 + 5*r + 0*r. Differentiate s(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 + -0.35. Let l = 7 + -7.06. Let t = 2.06 + l. What is the smallest value in 0, o, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 + n**2 - 2*n + 2. Is s(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 7\/8, 3, -1, -5, 4 in descending order.\nAnswer: 4, 3, 7\/8, -1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 3*s**3 + 4*s**3 - 24*s**2 + 21*s**2 to the form a + c*s**3 + z*s**2 + g*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose 0 = 2*u - 5*j + 13, u + 0*u = -t*j - 2. What is the nearest to -1\/4 in u, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 23 + 2*p**2 + 19 - 2*p**2 + 0*p**2 + p**2 + (1 + 1 + 1)*(0*p**2 + 3*p**2 + 0*p**2) to z*p**2 + c*p + h and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -13. Suppose 7 = -w - 2*k + 6*k, -4*w = 2*k - s. Suppose 16*f**3 + 5*f**2 + 8*f - 25*f**2 - 5 + w - 4*f**4 = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -771 - -877. What is the remainder when 642 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1212?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432931?\nAnswer: 1432931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.11, -6, 0.5, 1, 1\/39, -4, -2 in ascending order.\nAnswer: -6, -4, -2, 1\/39, 0.5, 1, 1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 48 = v - 6*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + -2 - (-1 + 4 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30811495 is divided by 30811488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7974 and -32\/167769.\nAnswer: 148643334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 12. Let s(v) = -5*v + 9. Let z(j) = -9*j + 17. Let u(t) = 7*s(t) - 4*z(t). Let h(i) = 7*i + 2. Let q be h(-2). Calculate q*u(d) + 5*p(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z**3 + 4*z - 4*z.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(3 + 5 + 0 + sqrt(832) + 2)**2)*-3.\nAnswer: -2787 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 9, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3250)\/1170*(-2)\/10)\/(10\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.8015, -1624\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.19 + -0.19. Let o = -14 + w. Put o, -7, -3 in increasing order.\nAnswer: -7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f**5*f)\/(f**(-1\/16)\/f*f**(-6\/7)))**(-36) assuming f is positive.\nAnswer: f**(-13023\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 + 22*q. Let c be f(0). Is 2\/1295 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.048 and 13.4.\nAnswer: -0.6432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.2209 litres in millilitres?\nAnswer: 791220.9","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + -1 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -105*s + 3. Let g(i) be the first derivative of -7*i**2\/2 + 847. What is g(w(j))?\nAnswer: 735*j - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49638283 - 0.57?\nAnswer: -0.07361717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1382, -1691, -2540, -4199, -6938, -11027, -16736?\n\"Answer: -45*p**3 + 6*p - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 56*h + 134. Calculate k(-21).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.94, 2, -28\/57, 2\/19, 5 in increasing order.\nAnswer: -0.94, -28\/57, 2\/19, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665675 is divided by 221770?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20228 by 1375.\nAnswer: 20228\/1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**4 - 23582*p**3 - 3406*p**2 + 559162709*p.\nAnswer: 24*p**2 - 141492*p - 6812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -26*z**2 - 6*z + 217. Let d(s) = 26*s**2 + 7*s - 219. Give 4*d(x) + 5*t(x).\nAnswer: -26*x**2 - 2*x + 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - 128. Calculate the greatest common divisor of 108 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 31 = 5*h, -4*r - 7 = -4*h + 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695 >= 3696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.7 - -31. Which is the biggest value? (a) -0.1 (b) -1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36100 = 87*w + 41*w + 62*w. Let y be (-2)\/(-6) - (-596)\/12. What is the highest common divisor of y and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, x: 2, r: 2, u: 1, p: 1, s: 1}. Give prob of sequence usxf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*10*1. Let b = -5758 + 10438. Suppose 8*r = f*r + b. Round r to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2 + 95*o + 28. Calculate v(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3481, -6960, -10439, -13918, -17397, -20876?\nAnswer: -24355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(13 + -25)\/24. Let b(x) = -14*x. Let q(j) = -21*j + 31*j - 25*j. Give y*q(m) + 6*b(m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20208 - 20083. Solve 124 = r*f - 156*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*534\/(-9). Let m = 129 - t. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 - (-17 + 17). Solve 5*a + 1 = -b + d, -2*b - 3 = 5*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x + 590384 - 587524 = 0 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019415 to 4 dps.\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718722490?\nAnswer: 2, 5, 71872249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*d**4 + 67809*d**3 + 11704070*d**2.\nAnswer: 2064*d + 406854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18352 > 18348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/114*66\/12.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2107.313mg?\nAnswer: 0.002107313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2101?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j - 92 - 226 = -16*j + 111 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Solve -5*g = -3*y - 4 + 15, -3*g + 3 = r*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -3*f. Let x(v) = -v + 6. Let z be x(f). Suppose 2*d - 2 = -2*h, 0 = d - 0*d + 2*h. Calculate the highest common divisor of z and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 492, 1203, 2440, 4377, 7188, 11047?\nAnswer: 16128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126946842.8097733 - 126946837. Let x = 5.77377 - r. Let z = -0.036 - x. Round z to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 3. Let h be a(-8). What is the highest common divisor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+1665900070316\nAnswer: 1665900070315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 1 + (2 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 7, j: 7, u: 2}. Give prob of sequence kuju.\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 1.7. Let k = x - 2.1. Let n = -0.2 - 0. Which is the closest to 2\/5? (a) n (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*x**3 - 7 + 20 - 6*x**3 wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.046155ng in tonnes?\nAnswer: 0.000000000000009046155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -158\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 167*o + 6170. Calculate x(115).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(1250\/(-80)))\/(6\/15*7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37234, 149119, 335594, 596659?\nAnswer: 932314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 32652*q - 71549940 = 0.\nAnswer: -1870, 12754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.499\nAnswer: -0.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) -0.8 (b) -0.3 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let d be ((-2)\/(-8))\/((-13)\/8). What is the third biggest value in -6, d, n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 7. Let j(v) = -12*v + 21. Let c(l) = -17*l + 29. Let r(h) = 5*c(h) - 7*j(h). Let s be 4\/(-6)*3 - 4. Calculate s*b(q) - 21*r(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 - (4\/(-18) + 20\/9). Suppose 3*v - 23 = m. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.223464 weeks to days.\nAnswer: 29.564248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Suppose 2*p + q*p = 0, 5*k - 20 = -2*p. Solve -k*v - w + 3 = 0, v = 3*v - 4*w + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1152 and 42?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -234008571, -234008578, -234008591, -234008610?\n\"Answer: -3*d**2 + 2*d - 234008570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1347008 divided by -4.\nAnswer: 336752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102099 = 654*s - 162267 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) -2\/5 (b) 2\/25 (c) 0.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 109. What is the units digit of (-6)\/o*(0 - (-2 - -387))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 62*z - 427. Let v be b(-7). Suppose 4*t - 44 = -4*r, 16*r - v = -5*t + 12*r. Let p(g) = g**3 - 12*g**2 + 2*g - 17. Determine p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2515\/5852 - 1\/836. What is the second biggest value in -4, m, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 v when four letters picked without replacement from vvkxkvczrrxccvx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16212*i - 17107*i + 4973*i - 1687*i to the form z*i + u and give z.\nAnswer: -30033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8*0)\/1 - -4. Solve c + 15 = t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 102, 156, 208, 258, 306, 352?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/132)\/(4 - (-428)\/(-32)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/5652 and 125\/8478.\nAnswer: 16956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*5\/(10\/6). Suppose v*a - 184 = -3*l - 1435, -1257 = 3*l + a. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*b + 29 = -3*p, 0 = -2*p + 3*b - 7. Solve 4*r = p*n - 4, 2*n - 2*r - 3 = -r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((855\/(-6))\/(-19))\/(186\/(-12) + 15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. Suppose -3*a + g + 17 = 0, -7 = -a - n*a + g. Let v = -0.3 + 0.5. What is the closest to v in 2, 4, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z + 5*i = -81*z + 65, -5*i = -25 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/14 and -81\/716.\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.9. Suppose -4*l + 25 = -d + 2*d, 0 = l - d. Suppose l*k - 3*k - 2 = 0. What is the nearest to k in f, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 424, -8?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.61 - 53.61002451. Round t to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**3 + 56*b**2 + 12*b + 11. Let o be l(-6). Solve n - 50 = o*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3136 (b) 1 (c) -1 (d) 537\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 2, c: 1, k: 7}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6 - 13)*((-d + 2*d - 2*d)*(3 + 2 - 3) + 5*d - 2*d - 2*d)*(-27 - 57 - 11 - 42) to the form y + n*d and give n.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 7*k**2 - 21*k**3 + 5*k**3 - 2 + 2*k + 9*k**3 + 8*k**3. Calculate a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 19. Let c = f - -10.2. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 16*q + 28 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 535266, 1070543, 1605820?\n\"Answer: 535277*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 5*c**2 - 5*c. Let h(q) be the first derivative of q**4\/4 + q**3 - 3*q**2\/2 + 2. What is 5*h(l) - 3*v(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 divided by -8?\nAnswer: 309\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jryooggoyo. Give prob of picking 1 j and 2 y.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -909*r + 14499. Calculate y(16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*b - 2 = 4, -40 = 4*p - 4*b. Let m(d) = 7*d**3 - 6*d + 6. Let s(t) = 4*t - 6*t**3 - 5 + t + 0. Give p*s(k) - 5*m(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4221 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 350828 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from pzfoa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 27. Determine o(8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 9*t. Solve 3 = -r - t*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157082 is divided by 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, 0.15, -41, 5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 32.23687, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**2 - 55. Let o(x) be the first derivative of -4 - 13\/2*x**2 + 0*x. Determine o(i(s)).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4 + 909512*y**3 + 909516*y**2 = 0.\nAnswer: -1, 0, 227379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (693*w**3 - 363*w**3 - 3*w - 331*w**3 - 33*w**2)*(-2*w**2 + 4*w**2 - w**2).\nAnswer: -w**5 - 33*w**4 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204589 is divided by 106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10) - (-355)\/(-25). Let w = 20 + p. Find the second derivative of 7*f**5 - w*f - 3*f**5 + 2*f - f wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1506 - -2.\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5297?\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -27009771\nAnswer: -135048855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*j + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/4 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 13*p - 9. Let f be z(12). Let m(u) = f*u - 63 + 63. Let b(h) = 18*h. Give m(b(s)).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jij. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115951701017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 2*d + 5*d - 1306 + 1247 + d - 2*d.\nAnswer: 5*d - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10109 to four dps.\nAnswer: -0.1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emzemeuztemeuzeuuet. Give prob of picking 2 m and 1 u.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 6992039.\nAnswer: -6992039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1990 - 1955. Let g(n) = -n**3 + 16*n**2 + 22*n - 40. Let j be g(17). What is the greatest common divisor of j and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h**2 + 10*h**2 + h**4 + 6 + 6 - 19*h**2 + 4*h**3 in the form l*h**2 + t*h**3 + g*h**4 + x + a*h and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178271088 by 59423696.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.099 - 0.251. Let r = l + -0.05. Which is the fourth smallest value? (a) -4 (b) -2 (c) 1\/4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.51481847\nAnswer: -3.60372929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, -4\/7, -0.04, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5.7, 1.452, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56398 and 1730?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/7))**(-13) assuming s is positive.\nAnswer: s**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and 59\/237.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 0*n)*(58096 - 57640 + 47553 + 39047 + 126765).\nAnswer: 213821*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c)\/(c**0*c)*(c\/(c**(-1)\/c))**(2\/33) assuming c is positive.\nAnswer: c**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**3 + j**2. Let w be l(-1). What is the units digit of (62\/w)\/((-17)\/204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894852959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t - 5. Let q(b) = -72*b - 28. Let c(p) = 28*i(p) - 5*q(p). Let k(u) be the first derivative of 0*u - 1\/2*u**2 + 11. Give k(c(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/9*7\/(-2 - 12). Let j = d + 28\/9. Let u = -4 + 2. What is the nearest to j in u, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4273629*4.\nAnswer: 17094516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -1, -3.1, 9\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5544.1622 + -5544. Round k to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v + 5. Let h = 39 + -24. Let q be 13\/h - 8\/12. Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (25 + -8)) + 16 + -32?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/12*1044\/(-6)*10\/(-20).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13212254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 6*i + 5)*(1 - 2 + 0)*(0*i + 0*i + i)*(-1 + 3 - 1) in the form p*i**2 + k*i + b and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 - 3 = 5*d, 5*r + 3 = 4*d. Let y = 5 - r. Suppose -2*g = m - 6*m - 14, -y = -2*g + 2*m. Solve 0 = 2*o + z - g, 2*o + 5 = 5*z - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = l + 9*x - 14*x, 10 = -3*l + 2*x. Solve 0 = 2*n + 4*r - 6, 2*n - r + l*r = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -23*t**2. Let x(g) = 4*g**2. What is x(k(w))?\nAnswer: 2116*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 3*l**2 - 17*l - 4*l**2)*(38*l - 4 + 6 - 37*l).\nAnswer: -3*l**3 - 23*l**2 - 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 74. Let v be x(0). Suppose -6*n + 5*n = v. Let f = 118 + n. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59.21242 microseconds?\nAnswer: 0.05921242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 4 + 1 - 3 + 2*x - 6.\nAnswer: 2*x - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 10?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 5.1. Let y = -4 - u. Which is the nearest to 0? (a) -3\/5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5\/2, 14364, 0 in decreasing order.\nAnswer: 14364, 5\/2, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -d - 8*c + 19043, 3*c - 76173 = -4*d. Let u = d - 11051. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3299*r + 29734. Calculate l(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 4*z - 29*i = -33*i - 73, 3*i = -5*z - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.25258? (a) -112 (b) 1\/3 (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 13 - (-20 + -3 + 11 - -9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*d - 1815, 7*i - 6*i - 611 = 5*d. List the prime factors of i.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 51306612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4612, 12294, 19976, 27658, 35340?\n\"Answer: 7682*v - 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -43*r**2 + 5856*r - 18221. Determine i(133).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-0.059639.\nAnswer: 2.862672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, g: 1, z: 3, s: 3}. Give prob of sequence zsn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42660399681\/(-3402) + (-3)\/(-126). Round p to the nearest one hundred thousand.\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*u*v**2 + 13*u + 22*v**4 + 2*v**2 + 3 wrt v?\nAnswer: 10*u*v + 88*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435166411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 = 5*i - 5*r + 1308, 0 = 3*i + 3*r - 63. Solve 0*a**i + 0 + 0*a - 31\/5*a**3 + 6*a**2 + 1\/5*a**5 = 0 for a.\nAnswer: -6, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-37 + 22 + 27)*(0 + 2 + 0) + 2 - 2 - 1)*(4*o**3 - 5*o**3 + 2*o**3).\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 + -2. Let k = 1 + -1. Let x = k - -2. Which is the closest to x? (a) i (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -301 + 10368?\nAnswer: 10067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 0*t**2 - 3*t**2 - 4*t**2. Let r be 26\/10 - (4 + 88\/(-20)). Let c(g) = 2*g + 3*g - 5*g + r*g**2. Calculate o(c(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 6*n**2 + 28*n + 99. What is the lowest common multiple of x(-6) and 33?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2415\/(-60) + 5)\/(2\/(-144))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/5544 and -21\/304.\nAnswer: 210672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f + 3*k + 12, -f - 4*k - 6 = 0. Let h(l) = 5*l**2 - 2*l - 1. Let r = -10 + 4. Let m(b) = b**2 + b - 1. Let w(y) = r*m(y) + h(y). Determine w(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose -d*k - 27 = -3*k. Calculate the remainder when 53 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51.4702 or 65?\nAnswer: 51.4702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 5*h**6\/24 - h**3 + 5*h**2. Find the first derivative of f(c) wrt c.\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(27\/2)*o))**(-8) assuming o is positive.\nAnswer: o**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d + 72 - 72 + 23*d - 60*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74421 + -74411.4649. What is o rounded to 1 decimal place?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/240 - 41*g**5\/360 + 13*g**4\/72 - 16*g**2 - 24. Solve p(h) = 0 for h.\nAnswer: 0, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 13*d + 20. Let h be n(-10). Let a(r) = -r**3 + r**2 + 8*r - 4. Let i be a(-5). Let y = i + h. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51625867543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -3. Let s be (42\/g)\/(15\/(-500)). Round s to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6028 is divided by 287.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhqqzqqqqhqqq. Give prob of picking 1 z, 1 h, 1 q, and 1 l.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 430, -6, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-44) - (-1)\/(-2). Let l = 0.269 - -4.731. What is the second smallest value in l, o, 1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677670?\nAnswer: 2, 3, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*t**4 + 0*t**2 - 2*t**2 + 7*t**2 + 16*t**4 wrt t?\nAnswer: 504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -230*o + 65*o + 3630 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 32. Let b = -5 - k. Suppose -8 = -3*f + 4*g, -g = b*f + 4*g - 17. Solve -13 = -f*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 + 9*d**2\/2 + 2*d - 6.\nAnswer: -(d - 3)*(d - 1)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -49*l - 126. Let z(w) = -106*w - 252. Let g(v) = -13*m(v) + 6*z(v). Let p(i) = -i**2. Calculate g(p(a)).\nAnswer: -a**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - (13770\/(-4))\/15. Which is bigger: 222 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**3*t**3 - 3*p**3*t + 7277*p**3 + 2*p**2*t**2 - 2*p**2 - 114*p*t**3 - 368*p wrt p?\nAnswer: 12*t**3 - 18*t + 43662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 5:25 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.2. Let s = z + -0.2. Let t = 0.97352 - -0.02648. What is the closest to 0 in 0.2, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 633, 672, 725, 798, 897, 1028, 1197?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9. Let v(b) = -b. Let z(m) = -l(m) - 2*v(m). Let i be z(7). Solve i*f - o - 33 + 8 = 0, 3*f - 3*o - 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, 3\/2, -18, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*58\/(-319)*4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6)*(-4 + -5). Solve -2 = b*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*q = 41, -3*r - 3*q - 8 + 35 = 0. Suppose 4*j + p = -0*j - 5, r = -j - 4*p. Suppose -3*o - 171 = -6*o. Does j = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*((sqrt(288) + (sqrt(288) + sqrt(288)*1 - sqrt(288)))\/sqrt(4) - (4 + (sqrt(2) - -2*(sqrt(2) + sqrt(2)*2)) + sqrt(2))))**2.\nAnswer: -288*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*(-224)\/(-8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7310*g - 6*g**3 - 7310*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 - 263823536*y + 4350178634221456 = 0.\nAnswer: 32977942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((6\/(-32))\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 742*f + 52535. What is r(-71)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 503*t**8\/7 - 2735*t**4\/12 + 2*t + 2289. What is the third derivative of f(b) wrt b?\nAnswer: 482880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 17 - 83 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56, 67, 92, 137, 208?\n\"Answer: r**3 + r**2 + r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100000123 (base 4) to base 13.\nAnswer: 178632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -64. Let m(r) = -r**2 - 18*r + 9. What are the prime factors of m(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-18387)\/2724)\/((-3)\/668) is divided by 476?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 2\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*t**2 - 1451251*m**2*t**3 + 1404118*t**3 wrt m.\nAnswer: 6*m**2*t**2 - 2902502*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61497*k**6 - 8723*k**2 + 2*k?\nAnswer: 7379640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 2*f**2 - 6*f + 4. Let m be a(0). Let p(o) = o**2 + 8*o + 20. Let c be p(-5). Solve -4*v = v - 15, -c*t + m*v - 22 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 29*n - 1183. Determine s(28).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p. Let f be i(-1). Suppose 4*q - 2*q - 2*r = f, 0 = 3*r - 12. Suppose -2*z = d + 2*z - 9, -2*z - 1 = -q*d. Solve -d = k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**3 + 1\/15*u**5 + 0 + 1\/3*u**4 + 0*u - 1\/15*u**6 - 6*u**2 - 2\/105*u**7. What is f in n(f) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/226 and 25\/71416.\nAnswer: 71416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 62. Let f = s + 45. Let x = 0.52 - -0.08. Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 36 + 0*p**3 - p**3 + 44*p**2 + p**3 + p**3 + 26*p. Is c(-37) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 16120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23054 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330 - 327. Solve 3*h = 5*c + 10, q*h = -2*c + c - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, n: 1, o: 1, t: 4, y: 2, f: 4}. Give prob of picking 2 y, 1 p, and 1 t.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -61, -85, -105?\n\"Answer: 2*x**2 - 34*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 655446394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 + 5*g**4\/4 + 59*g**3\/6 + 12*g**2 - 3. Let k be l(-28). Solve 0 = -5*t + 4*s + 28, -k*t - s - 4 = -14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-27) - (-1 + (-13)\/(-3)). Let z(c) = c**2 - 11*c - 5. What is the least common multiple of 5 and z(t)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*n + 348 - 19 + 181 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13107 is divided by 118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/2)\/x)*x*x*x**(-6)*(x\/(x**(-2\/13)*x))\/x**3)\/((x*x**(-1\/3))**(11\/3)\/(x\/(x\/(x**(-1\/2)*x)))**(-1\/9)) assuming x is positive.\nAnswer: x**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/88673 and -39\/36259.\nAnswer: 8955973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 13. Let y be s\/(-4)*(-6 + 6). Suppose -2*t + 1095 - 203 = y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**2*t**3 - 359*r**2*t**2 - 99*r**2 + 251381*t**3 wrt r?\nAnswer: -4*r*t**3 - 718*r*t**2 - 198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161819*d**3 - 746*d**2 - 2*d + 17 wrt d?\nAnswer: -970914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*n + 241*n = -246. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b**4)**(1\/12)\/((b**(-2\/3)*b)\/b**(2\/9))**(-21) assuming b is positive.\nAnswer: b**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:56 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/254 + 239\/30988. Let q = 1217\/732 - i. Is 1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1928106 and 18.\nAnswer: 1928106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let i(v) be the first derivative of 45*v**3 + 44. What is i(a(z))?\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uppupppuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + ((-945)\/675 - (-342)\/5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**18*a**(-4\/7) assuming a is positive.\nAnswer: a**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 12 - 4*k**2 - 15759*k**3 + 6*k**2 + 7902*k**3 + 7856*k**3.\nAnswer: -k**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 7008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2064 - -5279. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 17*x**2 - 17*x - 11. Let w be b(-16). Solve -2*q + 3 = -w*d, 2*d - 1 = -q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(4*k - 2*k - k)*(1 + 4 - 2)*(-11 - 4 + 1).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 5*l + 4. Let t be f(5). Let y be (-30)\/9 + (0 - -3). Let x = -0.2 + 0.2. What is the nearest to x in t, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1138 - -1299. Solve 0 = 2*d - 169 + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22525000 rounded to the nearest 100000?\nAnswer: -22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -14335 + 2441. Let r = 986 - p. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*z + 53*z + 48*z + 3*z - 2*z - 3*z + (3*z - 2*z + 0*z)*(-3 - 2 + 3) to m*z + u and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194234441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.314 times 1172.8?\nAnswer: 368.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 66.99914. What is i rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 1*sqrt(143)*4 - (sqrt(143) + 1*sqrt(143))*3)\/((sqrt(77) + (((-3*sqrt(77) - sqrt(77)) + sqrt(77))*3 + sqrt(77) - sqrt(77)))\/sqrt(7)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 12*j - 7. Is x(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*40\/(-4)*(-698)\/26524.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 72*i + 2. Determine g(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3723079, 14892287, 33507627, 59569099, 93076703, 134030439, 182430307?\nAnswer: 238276307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -67, -43, -13, 17, 41, 53, 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -70435?\nAnswer: -28174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*c**3 + 2*c + 546 + 1770*c**4 - 545 + 69*c**3 to the form q*c**3 + d*c + s + o*c**4 + m*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 2748*w**2 + 277560*w - 2046656 = 0 for w.\nAnswer: 8, 113, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = 1. What is the units digit of 6*(-2)\/(-3 + l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1 + -1)**2 + 2)*-6.\nAnswer: -684 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y**2 - 10*y + 10. Let a(x) be the second derivative of x**4\/12 + x**3\/6 - x**2\/2 - 55*x. Calculate 10*a(v) + m(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -419501.\nAnswer: -419500.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7815*l**3 + 163*l - 235*l**3 - 163*l.\nAnswer: -8050*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**8\/30240 + p**7\/3780 - p**6\/360 + 4*p**5\/15 + 23*p**2. Let s(m) be the third derivative of n(m). Factor s(o).\nAnswer: 2*(o - 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1\/7)*q))\/q*q)\/q*q)**(-39)*q*q**(5\/9)*q**(-9) assuming q is positive.\nAnswer: q**(-820\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*p**2 + 1326*p**2 + 538*p - 661*p**2.\nAnswer: 2*p**2 + 538*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -27, -24, -3, 42, 117?\n\"Answer: y**3 - 16*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159.2 - 206. Let h = -46.3 - i. Put h, -0.3, 34 in descending order.\nAnswer: 34, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829483561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -5027, -16978, -40259, -78650, -135931, -215882, -322283?\nAnswer: -458914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 5. Let x(p) = -p. Let k(t) = -g(t) - 5*x(t). Let d(i) = 2*i. What is d(k(j))?\nAnswer: -4*j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213739.\nAnswer: 19, 127, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**3 + 0*f**2 + 2*f**3 + 2.\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*i - 2*i**3 - i**4 + 0*i**4 + 11 + i**2 + 0*i**4 - 14 to w*i**3 + s*i**2 + m*i + a*i**4 + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6783000 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-45)\/9 - -3 - 107\/(-20) and 7\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 15, 21, 27, 33?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100101110110011 (base 2) to base 4\nAnswer: -30232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:13 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)\/y)**20*(y\/(y\/(y**(-1\/9)*y)))\/((y**(-2\/17)*y)\/y)*(y**(-5\/3)*y\/((y\/((y\/(y*y**(-4\/7)*y*y))\/y))\/y))\/(y**0)**49 assuming y is positive.\nAnswer: y**(-6299\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 2*l**2 - 38*l**3 - 3*l**2 + 34*l**3.\nAnswer: -7*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1094 and 3.\nAnswer: 2.8906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -48 - -31 - (-122)\/6. Solve -5*t**4 + 0 + 10\/3*t + 5*t**2 - y*t**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 14*d = 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-258\nAnswer: -77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -5*-2*sqrt(2057)*1*3)**2 + -2.\nAnswer: 3300*sqrt(17) + 1851323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**4 - 2*n**3 - 4*n - 4. Let u(o) = -9 + 2*o + 51*o**4 + 24 + 9*o**3 + 13*o. Let k(r) = -15*h(r) - 4*u(r). Solve k(g) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 3*x**2 - 4*x - 1. Let d be n(3). Suppose 0 = o - 0*o - 15. Let t = o + d. Solve 0 = -0*f - f - t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137118, 274249, 411380?\nAnswer: 548511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30044 + 1002200?\nAnswer: 1032244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/((-8)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 60 = -5*i, -5*i - 6*o = -2*o - 54. Solve 0 = -i*w - 0*w - 36 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31819 is divided by 15902.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 3*k**2 - 2*k**2 + (2*k - 2 + 2)*(-2*k - 2*k + 5*k))*(2*k**2 - 2*k**2 - 2*k**2) to the form v*k**2 + w*k + y*k**4 + x*k**3 + u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1239043270 divided by -247808654\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20, -34189 = -3*o + n + 4732. Suppose -o = -8*w - 2983. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - k - 2, 2*k = 2*g + 16. Let b = -7 - -4. Put 3, b, g in decreasing order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q\/(q*q**(2\/21))*q*q)\/q)*q**(12\/5) assuming q is positive.\nAnswer: q**(262\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 1550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/368 and -11\/3383800.\nAnswer: 155654800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 5*m - 4*m)*((5 + 13 - 6)*(-3 + 3 - 2) - 2 + 2 - 2 + 2 - 1 - 4 - 3 + 0 + 0 - 2 + 1 - 1 + (0 + 1 - 2)*(2 + 2 - 5)) in the form v*m + i and give v.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -14*y**5\/5 + y**4\/2 + y**3\/3 - 11*y + 73. Find the third derivative of q(m) wrt m.\nAnswer: -336*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325927 <= -325895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 1. Let o be i(1). Let x(j) = 4*j - 1. Let a be x(1). Suppose -a*v + o = -3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1290 and 660810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + 2.4. Let j = 0.4 + 1. Let d = j - -3.6. Sort l, d, -2\/7 in decreasing order.\nAnswer: d, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 + 51 - 67)*(1 - 4 + 5)*(-7*s + 4*s + 0*s) in the form r + q*s and give q.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t - 8. Let q be v(7). Let l = q - -6. Which is greater: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3*(-9 - 0)\/(-1). Solve 2*x + a - 6*a = -1, t*a = -5*x + 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.03 - 21.93. Let g = u + 20.8999893. Round g to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/8 + 167*q**3\/6 - 13*q**2. Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 + 5*l**4\/12 + l**3\/6 + 3*l**2\/2 - l. Suppose q = -27 + 32. Suppose -c - q = -3*c + 3*z, -3*c - 5 = -2*z. Give y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1867, -2\/15, 5, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmee. What is prob of sequence ml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1056, 1535, 1976, 2367, 2696, 2951, 3120?\nAnswer: 3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 0.14 (c) 1\/6 (d) -9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269882 - -51339. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1 + 0)*1. Let r be (-70)\/(-15) - m\/(-9). Suppose 25 = 6*i - r*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 - 6*d**3 - 17*d**2 + 4*d + 3*d - 2*d**3 - 7. Let v(n) = 3*n**3 + 9*n**2 - 4*n + 4. Suppose -342*q - 256 = -278*q. What is q*g(a) - 7*v(a)?\nAnswer: -a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 6\/(-9)*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184014?\nAnswer: 2, 3, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 3*k, m = -4*k - m - 8. Let q = k - -5. Suppose -q*c + c = -108. Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = -3*k. Let c(l) = -2*l**2 - 5*l + 12. Let m be c(k). Solve 0*o = m*o - 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 223 = -107. Calculate the highest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 0*a**2 + a**2 + (-1 + 1 - 4*a)*(-4*a + 5*a - 2*a))*(1 - 1 - a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*y**6 - y**4 + 4*y**3 + 2*y**2 - 731*y + 1?\nAnswer: -18840*y**3 - 24*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 = 22. Let d(m) = m**2 + 2*m**2 + m**2 - p*m**2. Let t(b) = 3*b**2. Give d(t(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1*(-1)\/(-2). What is the common denominator of (-1)\/(-2)*(-186)\/(-22) and (i\/(-4))\/(6\/4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399604 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -932 + 1384. Let t = -445 + w. Solve 3*u - 1 = -t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21816 and 17700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14 = 2*m, -5*m - 10*i + 13*i = -62. Solve -20*q = -m*q - 16, 5*w + 5*q = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c - 109. What is the remainder when 63 is divided by u(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285183.\nAnswer: 17, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*-3*sqrt(2)*-2)**2 + 3 + 5 + 1.\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1557*u - 52. Let g(y) = -y. Calculate a(g(w)).\nAnswer: -1557*w - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**3 - 3115*h**2 - 7735*h - 3090.\nAnswer: -5*(h + 2)*(h + 309)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -525 + 541. Let a(g) = 4*g - 2. Calculate the smallest common multiple of u and a(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 6*n**2 + 16*n - 4. What is z(-3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 37977.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*n - 123*n - 678. Let o = n + 215. What is the greatest common divisor of 153 and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -76*p - 4. Let j(u) = -2*u. Give n(j(t)).\nAnswer: 152*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzztuwtztu. Give prob of sequence uwt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 5, -1 in decreasing order.\nAnswer: 12, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 - 2895635*k**2 - 3251331*k + 2 wrt k.\nAnswer: -12*k - 5791270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 5*d - 13. Let v(o) = 3*o + 19*o**2 - 18*o**2 - 6 - o. Give 4*s(q) - 9*v(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/12 + 7*z**3\/6 - 3*z**2\/2 + 101*z. What is s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -172, -373, -648, -1003?\n\"Answer: -w**3 - 28*w**2 - 42*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*v - 9, -4*v - 1 = -3*n - 6. Let g = -3.04 + 0.09. Let a = -0.05 + g. What is the second smallest value in n, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6\/23))\/(w*w**(25\/4)*w))**13)**22 assuming w is positive.\nAnswer: w**(-98813\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/9257148 and -37\/1542858.\nAnswer: 9257148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -12*i - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565370722?\nAnswer: 2, 7, 5769089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -0.4, -26, 5, 13\/7 in decreasing order.\nAnswer: 5, 13\/7, -0.4, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + 6. Let y be -1 + (-299)\/(-9) - (103675\/585 + -177). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4162*u**4 - 5519*u**2 + 17 + 763*u**4 - 24 + 9 wrt u?\nAnswer: 118200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -21638?\nAnswer: 1\/21638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(13*m + 2 - 2) + (-3 + 7 - 3)*(-1 - m + 1).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 609, 51 in descending order.\nAnswer: 609, 51, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {k: 5, v: 3, d: 1, p: 1, c: 2}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15532*o + 46592. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - w + 158879*w**3 + 154.\nAnswer: 158879*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 106 = 5*y - 0*y, -8*o + 3*y = -9*o + 18 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54, 60, 70, 84, 102, 124, 150?\n\"Answer: 2*t**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554.5 plus 578660141?\nAnswer: 578665695.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 - 5*m**3 + 10*m**2 - 21*m + 44. Is h(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 12*b + 70 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352100.\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32754196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.2 (b) -7 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 51.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -4 - -14) + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -106, -359, -870, -1729, -3026, -4851, -7294?\nAnswer: -10445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*f**2 - 10*f**2 - 16*f**2 - 172*f**3 - 2.\nAnswer: -172*f**3 - 15*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-24) + (-278)\/(-8). Suppose -h = -2*t - 5*t. Suppose -726 = -w - t*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:40 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 18 - 4*p + p**2 + p + 16*p. What are the prime factors of z(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*k - 13 = 0, 20 = -2*g + 4*g + 4*k. Which is the closest to 4? (a) -2 (b) -8\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -123.5. Let y = 0.5 - 5. Let h = c - y. Is h >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-756) + -2 + 8\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-43)\/60 - (8\/5 - 2) and (-4)\/(-18) - 3131\/(-558).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c**2. Let w(d) = d**2 + 1. Determine w(h(o)).\nAnswer: 225*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 = -5*w, -21 = -2*w + 21*b - 17*b - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*p - 185 = 0, -3*m + 16 + 544 = p. Suppose 154*h = 40*h - 371 + 1625. Calculate the highest common factor of h and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*l + (-4*l + 3*l + 3*l)*(4 - 2 - 1))*(3*l**4 + 4*l**4 - 2*l**4).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 93. Suppose 2*p = -x*q + 14, -2*p - 4 = -2*q + 2. Suppose -66 - 218 = -p*j. What are the prime factors of j?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*r + 25, -2*r - 4*b = -r + 1. What is the remainder when r is divided by 8 - 2 - (-1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*2 + 1.\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457565535, -457565536, -457565537?\nAnswer: -457565538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7)*f)\/f)**48 assuming f is positive.\nAnswer: f**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:38 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47106804 - 2.32289?\nAnswer: 47106801.67711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -2, 2\/3, 29\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -22. Is (2\/m - (-6)\/(-18))*-116 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110011111001110111001 + -101?\nAnswer: 111110011111001110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f**3. Let k(r) = 7*r**3. Let h = -12 - -17. Suppose -h = -2*o - d + 2*d, o + d - 4 = 0. Let q be 10*(9\/5)\/o. What is q*n(l) + 11*k(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.2685mg in nanograms?\nAnswer: 700268500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 32*t = -5*d + 68, -3*t + 4*d - 50 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 divided by -11308?\nAnswer: 471\/11308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -565\/6. Let g(x) be the first derivative of q*x**6 + 0*x + 0*x**4 + 7 + 0*x**3 + 0*x**5 - 3*x**2. What is the second derivative of g(y) wrt y?\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + d - 2 + (110 - 78 + 79)*(-d - 2*d + d).\nAnswer: -221*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -3*s**3 + 1. Let w(y) = 6*y. Let a(g) = -g. Let l be (-16)\/6 + 3 - (-28)\/6. Let t(d) = l*a(d) + w(d). Determine v(t(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 7 + 0 + -6 + 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36) - 3\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 27 + 7 + -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/11))\/m)\/m**6)**(9\/5)\/(m*m**(2\/11)*(m*(m*m*m**5)\/m)\/m*m\/(m*m*m**(2\/15)*m)*m**(2\/7)) assuming m is positive.\nAnswer: m**(-18257\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*i + 29. Suppose i*g - 3295 + 145 = 0. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 1. Let k be (-16)\/(-40)*(-10)\/4*-2. Give t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101011010 (base 2) in base 3?\nAnswer: -102201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 - -7. Let f = u + -3.1. Let m = -24.5 - -25.9. Which is the biggest value? (a) f (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11.1. Which is the closest to -0.1? (a) -1\/3 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2080\/(-9984))\/((-15)\/27)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5250\/(-9))\/(-5) - (-20)\/(-30) is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 + 9. Let w(i) = -2385*i**3 - 6*i**2 - 6855. Let k(m) = w(m) + 3*y(m). Differentiate k(j) wrt j.\nAnswer: -7146*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208450927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -v + 15, 0*h = -2*h. Let z = v + 260. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 - 2. Let r be f(-5). Suppose r + 48 = -2*t. Let z = t + 91. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3753*l**2\/4 + 12321093*l\/4 - 9849\/2.\nAnswer: 3*(l + 3283)*(1251*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 5. Let c be v(6). Let r = c + -3. Suppose -3*o + z = 5, -20 = 2*o - 2*z - 2*z. Solve -5*x + 3 - r = o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.7. Let j = -5.6 - h. Let m = -0.3 + -0.1. Which is the nearest to 2? (a) j (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:32 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = 3*f, 5*z = 2*f + 10*z - 3. Suppose 0 = 4*y + 2*b - 106, 3*y - f*b = -2*y + 100. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -50*t**2 + 11*t + 31. Let o be m(17). Let d = 227635\/16 + o. What is the common denominator of d and -71\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 4 = 16*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4239*g - 16945. Determine s(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 (base 6) in base 5?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -43. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126, 201, 236, 225, 162, 41?\n\"Answer: -z**3 - 14*z**2 + 124*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.76118306531 less than 0.1?\nAnswer: -115.66118306531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g**2 + 218*g + 727. Suppose 5*n = 4*m + 7, 3*m - 3*n = -n - 7. Let c(y) = -5*y**2 - 73*y - 242. Let d(w) = m*k(w) - 8*c(w). Solve d(l) = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/7)\/(7\/(-49)). Suppose t + 88 = i*t - 5*w, 5*t - 585 = -4*w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1708635, 1708638, 1708643, 1708650, 1708659, 1708670, 1708683?\nAnswer: 1708698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - 16. Let y(s) = -s - 3. Suppose 0 = 2*i - 6*i + 48. Let z = i + -1. What is z*y(b) - 2*u(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*0\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 87?\nAnswer: -8\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-818)\/(-16) - (21\/(-24) + 1). Let o = -21 - -38. Let v = q - o. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29602416.\nAnswer: 2, 3, 616717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 762.6*-0.13\nAnswer: -99.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {z: 4, b: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = -125. Suppose -3*y - 3*t - 24 = -5*y, 5*t + c = 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.0167 + 0.784. What is v rounded to two decimal places?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 17. What is the smallest common multiple of n and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 l when three letters picked without replacement from xbvvxvxluxbj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25957003 - -61.8.\nAnswer: 25957064.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + 98. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 2*w - 1. Suppose -5*p + 38 = 28. Let z(s) = -s**2 - s. What is p*z(n) + k(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2422194 and 62.\nAnswer: 75088014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -1\/2*f**4 + 0 + 0*f**2 + 3\/20*f**5 + 16*f + 1\/2*f**3. Factor v(o).\nAnswer: 3*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-65)\/6))\/((16\/(-20))\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 + 5 - x - 4. Let p(n) = 6*n**2 - 10*n - 3. Let j(y) = 32*y**2 - 55*y - 13. Let d(g) = -2*j(g) + 11*p(g). Calculate d(z(o)).\nAnswer: 2*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8735 + -8735.2. Sort -29, -3, 1\/8, j in ascending order.\nAnswer: -29, -3, j, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55989 = -628*v - 78597 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 2.072?\nAnswer: 18.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.029, -266, -2\/185?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*-6 - (-44)\/(-4). What is the tens digit of ((-30)\/r)\/((-66)\/(-616))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2. Let q(n) be the second derivative of 0 + 4*n + 1\/3*n**3 + 0*n**2. Determine j(q(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:01 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {b: 11, e: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95903 = -2880*d - 4229*d + 451490 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52748 + -0.287550928.\nAnswer: -52748.287550928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 - 15*p - 2. Let t be y(-6). Suppose 3*g - t = g. Suppose -3*w + 79 = u, 0 = 2*u - 3*w - 247 + g. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 186338\nAnswer: -29\/186338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-10))\/3)\/((-5)\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a + 5590 = -43*a. Let t be a\/39 + (-2)\/(-6). What is the greatest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1867, -4669, -9339, -15877?\nAnswer: -24283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -24.9. Let t = -5 - f. Which is the second biggest value? (a) 3\/4 (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20496 = 316*x + 17*x + 33*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 657878628 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*l*v*y + 253*l*y**3 - 27*l + 459705*v + 8*y**3 - y**2 + 2*y - 1 wrt l.\nAnswer: -104*v*y + 253*y**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4207 - -0.395. Let d = q + -0.0343. Which is the second biggest value? (a) d (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3 - 1 - 4 + 3 + (2 - 3 - 1)*(2 + 2 - 2))*(-52746 - 614*i - 334*i + 52745) in the form c*i + d and give c.\nAnswer: 7584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26394923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let o = 1 - 1. Suppose o = -v - q*v + 65. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-42*(-133)\/228.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) - (sqrt(264) - (sqrt(264) - 1*sqrt(264))*-3)) + sqrt(264))\/(-4*sqrt(192)))\/((sqrt(20)*-1*-4)\/((sqrt(60)*-1)\/sqrt(6))).\nAnswer: sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 3:23 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (-1*1*sqrt(85) + -2*sqrt(85)*6)\/((2*sqrt(15))\/sqrt(3) - sqrt(80))).\nAnswer: -39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - 16543504*h + 11029008.\nAnswer: -4*(h + 1378626)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9015*d**2 + d + 2. Let j(x) = 7*x. Give j(l(q)).\nAnswer: -63105*q**2 + 7*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/19803 and -145\/135378?\nAnswer: 38853486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 - 3*i**2 + 3*i + 3. Let c be j(-3). Let o = c + 10. Is o\/15 - 1\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5000, 0, 69 in decreasing order.\nAnswer: 69, 0, -5000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 138*y**2 + 1732*y + 403. Give v(124).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*s**3*t**2 - m*s**3*t + 10*m*s*t**3 + 54*m*s*t - 2*m*t**4 + s**3*t**4 wrt t?\nAnswer: 60*m*s - 48*m*t + 24*s**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 42. Calculate w(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 8, -4*n + 2*n - 19 = 5*w. Let g be (-70)\/(-42) - 1\/w. Suppose 3*m + 4 - 1 = d, -g*m = -2*d + 2. Do -4\/7 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 8:22 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 473117105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v**2 + 22*v**2 - 40*v**2 - 5*v + 1 + 26*v**2 in the form k*v**2 + o + d*v and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-6)\/9. What is the nearest to x in -5\/3, -4, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 122, 3\/118, -0.4?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 - 13*c**2 + 3*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - n**3 + 33*n**4 - 16*n**4 - 15*n**4 + 2*n**2 to f + a*n**3 + c*n + s*n**4 + w*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302527 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from {x: 9, j: 2, q: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*d - 91 = -251, -3*d = 3*v + 228. Suppose 15*z = 17*z - 244. Let n = z + v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*u**3 + 2*q**3*u - 304*q**3 - 5922*q**2*u + q*u**3 wrt q.\nAnswer: -18*u**3 + 12*u - 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5*(-5)\/(-14). Factor 0 + 0*j**2 + 0*j**3 + 0*j - s*j**4.\nAnswer: -2*j**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose r - 42 = -o*r. Suppose -26*p = 54*p - 37*p - 1075. What is the remainder when p is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(9\/6*(-27 + 12925\/75))\/(-6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/84 and -163\/227346.\nAnswer: 454692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -16*h**3 + 3*h**2 + 75*h + 73. Determine a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 868, 865, 862, 859, 856?\n\"Answer: -3*v + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 2, u: 1}. Give prob of sequence uxxd.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 284 + 2*n + n - 2*n.\nAnswer: 8*n - 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0 - n**2 - 2*n**3 - 5 + 3*n**3. Suppose -12 = -2*o, -g = -47*o + 45*o + 12. Give v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144))\/sqrt(6))\/(-2*sqrt(1728)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -192 + 2*a**2 - 4*a**2 + 75 + a**2 - 36*a. Let b be w(-18). What is the greatest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471*x + 1470*x + 4 = 0. Solve -v + x*l - 3 = 0, -4*v - 2*l = -7*l + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 118 (c) -0.142 (d) -1\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + 3. Let k = 252613\/9 + -28068. What is the closest to 2 in d, -11, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -26, 0, 219, 4, 1, 2 in ascending order.\nAnswer: -26, -14, 0, 1, 2, 4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/(72\/72).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -34, -62, -98?\n\"Answer: -4*c**2 - 8*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111101011000100 + 10?\nAnswer: -1100111101011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1944*(160\/(-3))\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018 + 586 - 435 = -44*h - 327 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*q + 15*q = 31087 + 31461 - 7360 for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 170. Suppose 8*q = 4*q + c. Solve -n - 2*x = 1, -4*n = -0*n - 5*x - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3728*h**2 + 173610*h - 278. Calculate p(46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 3. Let b(s) = -20*s. Let h be b(-2). Suppose -51 = -2*x + 25. Let z = x - h. Give r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 31. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606751.\nAnswer: 199, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 65. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -120100020111?\nAnswer: -120100020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 31*r**2 - 30*r. Let z(y) = 12*y**2 + 33*y**2 - 30*y - 74*y**2 - y**2. Let q(f) = -3*v(f) + 2*z(f). Factor q(d).\nAnswer: 3*d*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:19 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n**3*s*x*y**3 + 98*n**3*s + 5*n**3*x + 3*n**2*s*x*y**2 + 4*n**2*s*y + 7*n**2*x + 18*n*s*x*y**3 wrt n.\nAnswer: 108*s*x*y**3 + 588*s + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 115*c + 96 - 96.\nAnswer: -103*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001631348 rounded to 6 dps?\nAnswer: 0.001631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 2*x + 2*x)*(107 + x + 16 - 28).\nAnswer: -2*x**4 - 190*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 634*m + 8913. Calculate the remainder when 1512 is divided by j(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 + -1604*4\/(-72). Let x = 886\/9 - k. Solve 1\/3*b**2 + 169\/3 - x*b = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let p be 16610\/(-144) - v\/18. Let j = -115 - p. Put -1\/2, j, -2\/3 in descending order.\nAnswer: j, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201212201 (base 3) to base 10\nAnswer: -14491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 315, 328, 345, 366, 391?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5531 or 5500?\nAnswer: 5531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -34900 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1\/3*u**4 + 16\/15*u**6 + u + 0*u**2 + 0*u**3 - 7\/5*u**5 + 32\/21*u**7 + 0. Factor z(w).\nAnswer: 4*w**2*(w + 1)*(4*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5750 and 2250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*(4\/(-3))\/(35\/(-126)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h. Let l(s) = -7*s**2. Calculate p(l(u)).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcqc when four letters picked without replacement from {g: 4, q: 6, c: 3}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99835220 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -3*f**2 + 0*f + 0 - 1\/6*f**4 - 4\/3*f**3. What is the remainder when w(-6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvl when four letters picked without replacement from vlgtpipgvplpiigv.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 2*l + l, 0 = -3*w - l + 2. What is the closest to -2\/7 in -3, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u - 647853 = -13*u + 183891. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480*r = -1476*r - 7324. Does 50 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 151 = 5*c, 4 = -2*l. Let f = c + 49. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 2\/161, 675, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/165 and (-3)\/(72\/34)*10\/(-75).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*x + 52, -4*x + 20 = 11*r - 6*r. What is the smallest common multiple of 861 and r?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:39 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - l = 4 + 5, 2*b = 4*l - 24. What are the prime factors of 5\/(b\/6) - -17?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 445. Let i(u) be the first derivative of u**2 - 4126. Give l(i(k)).\nAnswer: 2*k + 445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 156*h**2 - 160*h**2 - 4 + 13 as r*h**2 + z + l*h and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 4*c - 2 + 3 - 1. Let r = 2 + -8. Let z be b(r). Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*f + 2*m - 29, 12*f = -5*m - 67. Let z(r) = r - 6. Calculate z(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 3. Suppose 10 = -3*s - g, 4 + 1 = -5*g. Let i be d(s). Suppose -3*r + 19 = 4*k - i*k, -3*k + 24 = -r. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82508.\nAnswer: 2, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 + 234 = 5*d. Let j = 403 - d. Let y = -3070\/13 + j. What is the smallest value in y, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -161, -365, -661, -1055, -1553, -2161, -2885?\nAnswer: -3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 17711*g - 49 = -17716*g + 6, -c + 4*g - 10 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365*j + 1365*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -12263.6\nAnswer: -12273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 45*i + 6. Let q(g) = -15*g - 2. Let y(b) = 17*q(b) + 6*u(b). What is the derivative of y(v) wrt v?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-6)*4938\/(-357182)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63976 divided by -726.\nAnswer: -2908\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(98)*2 - sqrt(98))**2 + -4.\nAnswer: 7934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 + 5 = 0. Suppose -14*o + w*o = -1780. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaayuyayla. What is prob of sequence ly?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657760 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 142567957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380216888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r**2 + 14*r**2 - 2*r**3 - 3*r**3. Is 2 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -314 + -2?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 10, 1, 2\/5, -0.4, -2.\nAnswer: -30, -2, -0.4, 2\/5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, w: 1, f: 2, i: 2}. What is prob of picking 2 i and 1 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -6 (b) -3 (c) -1.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 p when four letters picked without replacement from {p: 7, v: 9, w: 3}.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s - 7. Let r be j(-8). Suppose -r = 4*w - 21. Let p be 1*(0 + 1 + w). Solve -8 = -p*c + 8*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1330 and 3705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/133 and -31\/16363655?\nAnswer: 16363655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 + 11*u + 6. Let c(m) = -3*m**2 - 2*m + 1. Let s(l) = l**2 - 1. Let o(k) = -c(k) - 2*s(k). Determine -11*o(h) + 2*y(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003129 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 98*i**2 + 2*i + 95. Let j be c(-49). Which is bigger: j or -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88849 or 88850?\nAnswer: 88850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 300?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, -2\/13, -1\/41, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 2*i**2 + 2*i**2)*(-5 + 0 + 3) + (4*i**2 + 0 + 0)*(3*i - 4*i + 2*i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -188b (base 12) to base 2\nAnswer: -101110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, -4, 4, -5, -3, 961 in descending order.\nAnswer: 961, 39, 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122.4 + -125. Let l = -6.6 - t. Which is the smallest value? (a) 0.5 (b) l (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807463 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, n: 2, w: 2, r: 6, x: 2, y: 3}. What is prob of picking 1 r, 1 w, and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18533469489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, -1, 38.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6440066*l**2*o + 7*l**2 - 58*l + 17*o**2 + 9251 with respect to o.\nAnswer: -6440066*l**2 + 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 17*g**2 + 18*g + 35. Let d be s(-16). Factor 2 - 26*a**d + 15*a**2 + 11*a**2 - 26*a + 82*a**3 + 2.\nAnswer: 2*(a + 1)*(4*a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/2))**(-1\/8)\/((j\/(j*j**(2\/15))*j)\/j)**(-39) assuming j is positive.\nAnswer: j**(-411\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/5)\/c*(c*c**(-1\/3))\/c)**28)**(-18\/13) assuming c is positive.\nAnswer: c**(336\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 2 = -4*d. Let c = d - 11. Does 5 divide (c\/16 - -2)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024520102 rounded to seven decimal places?\nAnswer: 0.0002452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 c, and 1 n when four letters picked without replacement from ygygcycgyuccucyncc.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 < -23\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5 - 152*y**4 - 566*y**3 + 720*y**2 = 0. Calculate y.\nAnswer: -72, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:37 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfddpdddpvdvddd. What is prob of sequence vf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*s + 25 = 458*s. What is the remainder when 114 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.673 + 0.6384. Let q = 0.0345314 + i. Round q to six decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*u = -5517 - 6795 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 6031884.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.3, -1\/3, 5.\nAnswer: -13, -1\/3, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (5 - (3 + -1))\/(-1). Solve -p = u, 0*p - 26 = 4*w + 2*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {x: 1, c: 8, k: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 4. Let a be t(-3). Let v(r) = 29*r + 62. Let n be v(2). Let d = n + a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5419, -5376, -5329, -5278, -5223?\nAnswer: -5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2615, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540872 is divided by 4545?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3210830 is divided by 184.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let a = h - -3.2. Let y = 356 + -354. What is the closest to y in a, 4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -958 - -1459. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.532411km to meters.\nAnswer: 6532.411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 273 - 77 = -26 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-7) - -1)*1. Let q be ((0 - -2) + -2)\/(-3 - g). Is 4\/35 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8348 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1929 (c) -0.5 (d) 0.4 (e) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 1. Let f = 2 + -2. Let u = 303 - 302.7. What is the smallest value in o, f, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + 2*j + (3*j - 2*j + 2*j)*(-5 + 6 + 7) - 4*j + 5*j - 5*j)*(-2 + 0 + 1).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(640)*-2)\/((sqrt(72) - ((sqrt(72) - (-2*sqrt(72) - sqrt(72)))*1 + sqrt(72)))\/sqrt(9)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4446288 centuries in decades?\nAnswer: 4.446288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47679\/190 or 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.2\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*c - 2215 = -8*m, m = 5*c + 1104. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.1 - 0.7. Let g = y - -3.8. Let v = -0.43 + 0.83. Sort v, 1, g, 0.06 in ascending order.\nAnswer: g, 0.06, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**3\/6 + r**2\/2 + 8*r. Suppose 6*v = -2*t + 3*v, -2*v = -t. What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54660?\nAnswer: 2, 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 758, 752, 746, 740, 734, 728?\n\"Answer: -6*a + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s**0)\/(s**1)**(-13))\/((s**(-7)\/s**(1\/5))\/(s**3*s*s*s*s**(5\/3))) assuming s is positive.\nAnswer: s**(343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/496 and 83\/16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:54 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 6*p + 3. Let d be x(6). Let t(l) be the second derivative of 100*l - l**2 - 1\/20*l**5 + 0 + 1\/3*l**4 - 1\/3*l**3. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:55 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2)*-2 + (4 + sqrt(2) + -1 - sqrt(2))**2 + 4)*-4.\nAnswer: -52 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -17\/7 (c) -3115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*t**5 + 17*t**4 + 21*t**3 + 328*t - 2 wrt t?\nAnswer: -2220*t**3 + 204*t**2 + 126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026086 to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 193*i - 6976. Let p be m(36). Is p greater than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32133713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(17*y + 19*y**2 - 17*y + (-1 + 0 + 2)*(0*y + 0*y - y**2)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-3)*(-12)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -1 + -904)*2\/4. Let c = r + 899. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.029661927 and 1?\nAnswer: 0.029661927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -439 + 725. Suppose -9*b = -299 - n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**3\/6 - 9*z**2\/2 + z. Let g(m) = -m**2 - 2*m + 37. Let p be g(-6). Let o be h(p). Solve -3*l = -l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001721464 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 2*l - 1. Let p(s) = 4*s - 1. Let y be p(1). Let q = -8 - y. Let j = 10 + q. What is u(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 3*m**2 + 2*m + 3. Let i(u) = 0*u - 2167*u**2 + 2174*u**2 - 5*u - 4*u**3 - 7. What is -3*i(l) - 7*o(l)?\nAnswer: -2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72646\/13 - -5588. Let n = 451147\/15207 + -2\/5069. Let x = n - 30. Put 2, w, x in descending order.\nAnswer: 2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 11:50 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3 + (-14)\/(-24))*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let t(g) be the first derivative of 717*g**2\/2 + 3*g - 1247. Determine b(t(r)).\nAnswer: -514089*r**2 - 4302*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 674460 and 139320?\nAnswer: 174010680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 8. Suppose 76 = n + g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 76. Let u be z(8). Suppose -5*g + 16 = -3*j, -2*j + 3*j = g - 4. Sort u, -3, j in decreasing order.\nAnswer: u, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 317 + 142 + 785 - 412 + 552 + 2*a in the form v + k*a and give v.\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q**2 - 29*q + 8. What is the remainder when f(10) is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14138, 28279, 42420, 56561, 70702, 84843?\nAnswer: 98984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*d**3*g + d**2*g**2 - 2560*d*g**2 wrt d.\nAnswer: 162*d*g + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.8. Let p = -1 - -1.4. Let s be (0\/(1 - 3))\/(-1). What is the nearest to j in -1\/8, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 600*n - 3050.\nAnswer: 2*(n - 305)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*j - 5*j - 43 = 0, -18 = -2*t + j. Suppose -65 - 47 = -t*u. Suppose 4*p - 4*k - 36 = 0, u + 0 = -4*k. Solve -p*i = 26 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 7.96. Let h = g - 4. Let y = 3 - h. Which is the closest to -1? (a) -0.1 (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 5911?\nAnswer: 5910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + s + 4 = 0, -2*t + 35247*s - 35246*s + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.1, -0.08, 0.5, 1\/9, -1\/4, -1, 7?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 9*g**2 - 31*g + 120. Let u be k(7). Solve 2*i - 4*f + 3 = 9, 4*f = i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144180585 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*l - 335 = -578, 2*t - 158 = -3*l. Calculate the greatest common factor of t and 561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1601.96 + 1602. Sort o, 5\/7, -9 in decreasing order.\nAnswer: 5\/7, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -31. Let o = 3.075 - -0.925. Which is the third smallest value? (a) n (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010001?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in decades?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 202512454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9690, -38476, -86366, -153360, -239458, -344660?\nAnswer: -468966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 235*m + 3963. Calculate d(-18).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5301*f**2 + 318*f. Let i(n) = -21*n**2. What is w(i(g))?\nAnswer: 2337741*g**4 - 6678*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/117 - 76\/117. Let y = -0.29915 + -0.70085. What is the biggest value in k, y, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4543966130 to the nearest 100000.\nAnswer: 4544000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777.0752 micrograms to milligrams.\nAnswer: 0.7770752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2273*p - 135. What is the hundreds digit of d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*g**3 + 24*g**3 + 17*g**3 + 22*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 16 + 2*u**2 + 0*u**2 + 5*u**2 with respect to u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(-1139)*1*6?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/40*-5)\/(4\/6). Let p be (4 + 28\/(-8))*-2. Let c(a) = -4*a**2 - 3*a - 5. Let w(t) = t**2 + t + 1. What is p*c(m) + x*w(m)?\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 77*g = -588 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155316234 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, -59903, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v - 3*v - v)*(12 - 3*v**2 + v**2 - 7) to the form t*v + b*v**3 + d + n*v**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11*a)\/((a\/a**(-2\/53)*a)\/a*a)*(a**(3\/7)*a)\/a**(-32) assuming a is positive.\nAnswer: a**(16098\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 100410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 3) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11255 by 2.\nAnswer: -11255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g. Suppose g = 7*i - 3*i + 4*f + 4, -5*i = 3*f - 3. Solve 5*m + 2 = -i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.46 times -197419?\nAnswer: 6013382.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from {i: 1, b: 1, h: 2, y: 1, t: 1, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w - 12. Let g be 3 - ((w - -1) + 3). Suppose l - 10 = 3*x, x - 2*l = -3*l + 2. Sort 3, g, x in descending order.\nAnswer: 3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342756 is divided by 68534.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 5*s + 3. Let d be r(-4). Let m be 2\/d + 111\/(-21). What is the closest to -1 in m, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 637424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -392, -1 in descending order.\nAnswer: 5, -1, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1) + 8\/(-84). Let w = 0.2 + -0.1. Suppose -d + 4 = d. Which is the nearest to w? (a) -1\/9 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -23*t**5\/60 + 475*t**2 + t. Let p(n) = -39*n - 2. What is p(z(m))?\nAnswer: 897*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40836385 to the nearest integer?\nAnswer: 6390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -32b9014?\nAnswer: -32b9012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 21*a - 28 + 25*a - 45*a.\nAnswer: a - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-6)*g)\/g*g\/(g*g**(-19)\/g))**(-32))**(-2) assuming g is positive.\nAnswer: g**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:42 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2180\/1026780)\/((-2)\/(-12)).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-455 - (-9 - -7))*20\/(-12)?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14) - 8\/(-84)*-6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 4*t - 6*t)*(-1 - 5 + 4)*(-1 + 5 - 3)*(-1197 - 89*t + 1197) as v*t**2 + h + b*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) 2\/3 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7))**(-5) assuming u is positive.\nAnswer: u**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 + (-87)\/(-27). Suppose z*r - 31 = -4. Suppose 3*w + r = 0, 4*w = -9*c + 4*c + 58. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -563?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1, 289 = 4*f - 3*g - 380. Is 14 a factor of ((-6)\/9)\/((-4)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 3*h)*((0*h + 5*h - 2*h)*(-3*h**2 + h**2 + 4*h**2) - 6*h - 7*h + 4*h**3 - 5*h**3).\nAnswer: 5*h**4 - 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12568 and 61\/370756.\nAnswer: 741512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 7*h - 3. Let v(a) = 3*a - 2. Let c(u) = -10*v(u) + 4*z(u). Let i(f) = -2*f**2 + f - 4. Give 3*c(o) + 5*i(o).\nAnswer: 2*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1117144297 and 28162?\nAnswer: 14081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*r. Suppose 0 = -r*k + 5*w + 127 + 29, 234 = 3*k - 5*w. Calculate the greatest common divisor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*l + l + 66, -3*l + 84 = 2*z. Let r = l - -1. Let d = r - -24. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 29584*n**3 + 36621712*n**2 - 66856526592*n + 20428375090176.\nAnswer: 4*(n - 534)**2*(n + 4232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 43*v + 39*v = -4, 5*v = 2*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301 (base 4) to base 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -23.8.\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t - 18*t + 10*t + (0 + 5 - 3)*(-2*t + 3*t - 2*t) + t - t - t + (-t - 3*t + 6*t)*(3 - 2 - 3) - 2*t + t + 0*t + 4 - 4 - t + 2*t - 2*t + 2*t.\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -35.9. Which is the closest to -0.1? (a) 2\/7 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1993 - 1997. Which is the nearest to -3? (a) 3 (b) l (c) 0.4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/23 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 141.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 16 = -13*w. Suppose -6*l + w*l + 2*x - 24 = 0, -3*l + 5*x = 32. Let g be 636\/(-228) + 4\/(l\/(-3)). Which is smaller: g or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -4.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 5 + 4)*-1.\nAnswer: -9 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 1. Let v(r) = 7*r**2 - 5*r - 2. Let x(f) = 6*d(f) - v(f). Suppose -2*u + u + 10 = -2*a, 3*a - 12 = 0. Suppose -4*n = -2 - u. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/120 and -97\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3948 is divided by 3502.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000858534746 rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 5*y - 4. Let x be u(-4). Suppose x*k + k - 14 = 0. Suppose -5*m + 5*c = -35, -2*c + 0*c + k = 5*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -567579 and 2\/347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 9\/8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 856133.5? (a) 0.3 (b) -3 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 5, z: 8}. What is prob of picking 1 j and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrwe when four letters picked without replacement from {r: 3, e: 3, w: 13}?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3157mg in kilograms?\nAnswer: 0.0000323157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 - 6*w - 6. Let x = -7 - -3. Let p be t(x). What is the smallest common multiple of 120\/p*(-12)\/(-30) and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p - 83. Let t be (3 + -7)\/(((-22)\/55)\/(-1)). Give a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -7, 4, -0.5 in increasing order.\nAnswer: -7, -0.5, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 268\/9, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggt when three letters picked without replacement from tttgggutuuuugttrgg?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 17, -2 in decreasing order.\nAnswer: 17, 12, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:07 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2559+731.88\nAnswer: 3290.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1.44?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/19068 and -49\/10896.\nAnswer: 76272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19198*p + 2. Let n be x(-5). Let i = -82130 - -178146. Suppose -2*l = -2*g + 6*g - n, 4*g - 4*l - i = 0. What is g rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, c: 2, i: 2, x: 2}. Give prob of sequence iiw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161291\/30 - 5377. Let x = -1\/30 - y. Which is the smallest value? (a) -2\/7 (b) -5 (c) -0.05 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*s**3 - s**2 + 12*s?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699, 1608, 2517, 3426?\nAnswer: 4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 5*l + 1115. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -19*g**3\/6 - 3273*g. Let j(t) = 317*t**2 + 2*t. Give j(m(o)).\nAnswer: 114437*o**2 - 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-12 + 0 - (-15 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 7) + (19 - 12) + 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b + (-2 + 4 + 0)*(b + b + 0*b))*(-17*b**4 - 4*b**4 - 2*b**4).\nAnswer: -46*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 11 - 6*f**5 + 0*f**4 + 1\/2*f**2 + 0*f**3 + 0*f. What is the second derivative of x(y) wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -316439\/22 + 14381. Let l be 1\/(-6)*(-61794)\/(-460). Let j = l + 546\/23. Calculate the common denominator of s and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-52))\/1*(-16)\/(-10)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2942, -5870, -8798, -11726, -14654?\n\"Answer: -2928*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94945 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 2*k = 8060. Let r = k - 41. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-63)\/(-12)))\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85375951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/28417984 and 93\/464?\nAnswer: 824121536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019830306 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:20 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742607 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and (-2)\/5 - 32240\/(-100).\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*f + 20 = 0, -2*d - d - 2*f = 12. Let c be 4 - 5 - 0 - d. Solve 11 = a + 5*j, -2*a - 3*a + c = -j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1014)\/117)\/((-2)\/39). Let o = u + -159. Let b = 19 - -39. What is the remainder when b is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 11) to base 3\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110212 divided by -1868\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = g - 2 - 0, -2*o - 2 = -4*g. What is the closest to o in 0.2, -6, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.71945 months to years.\nAnswer: 0.3932875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let p(q) = -3*q. Let b(t) = -9*d(t) + 2*p(t). Let j(z) be the third derivative of -z**5\/60 + 3*z**2. Give j(b(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 88*n**3 - 8*n**2 + 4*n + 4. List the prime factors of k(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139\/585 - 1\/65. Let c = 11.8 + -11. Let a = c + -0.7. Put 0.3, a, z in descending order.\nAnswer: 0.3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1343.9 and -345713881.\nAnswer: -345712537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*7\/(-42))\/((-28)\/294*-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/h**5)\/h*h*h**(-8\/3) assuming h is positive.\nAnswer: h**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-9)\/(-24)). Let w(y) = 6*y**3 - y**2 + y - 1. Let h be w(1). Solve -p*q + 1 = -5*k, 2*q + h*k - 5 = 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220021 + -10?\nAnswer: 2220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) 2\/9 (c) 5 (d) -518930\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12421334 - -3?\nAnswer: -12421331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.066 - -0.266. Put 2, 4, r in increasing order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -14. Suppose -16181 = -q*o + 5*o. Is o 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 {d: 1, k: 1, w: 2, u: 3}. What is prob of picking 2 w and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3132585 divided by -626517.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 - 1429*n**2 - 20*n - 4. Give p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1291 and 0.18?\nAnswer: -232.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -1877, -4842, -8991, -14318, -20817?\n\"Answer: t**3 - 601*t**2 + 21*t + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1452 - 5*r**2 + 1453 - 12*r - 3*r - 20*r**3. Let v(s) = -11*s**3 - 3*s**2 - 8*s + 1. Let g(l) = -6*d(l) + 11*v(l). Calculate g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -49343 and -3.\nAnswer: 148029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytltfqfblbftyqtq. What is prob of sequence bb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442830*a**3 + 803503*a?\nAnswer: 2656980*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -3\/2*i**2 - 2*i - 4. What is the derivative of r(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 1097904 - 4399974. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10703*f + 117757. Determine x(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438011 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/88 and 81\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-42) - -1) + 1258\/518?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-280)\/(-50))*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -41. What are the prime factors of (16\/12)\/(c\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/((-2)\/(-180)). Let r = 111 - o. What is the remainder when r is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -4) + -3 + (18 - 13). Solve w = -2*g - d, -3*d + 5 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 39*f - 2. Let z be q(2). Let p = z - 41. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25389*j - 2*z + 3*z - 95 = -25395*j, 3*j - 4*z - 25 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1222.\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -2.6. Let u = w - -1.5. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1248 in -59, 0.4, -0.11, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56246?\nAnswer: 2, 28123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 4*g + 4*g)*(-5*g - 2*g - g) - 8*g**3 - 2*g**3 + g**3 + (3*g - 5*g + 6*g)*(6*g + 14*g**2 - 6*g).\nAnswer: 55*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.2. Let d = 0.1412 - 0.0212. Do r and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-3) + 7)*-1)\/(1*(-1)\/72).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 6 = 27*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 1. Let k be z(1). Sort k, -9, -5.\nAnswer: -9, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 4*x**2 + x - 1. Let g be l(4). Let o = 31 + -19. Suppose 3 - o = -3*v - 2*i, -i = 0. Solve -g*f + 4*f = -v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1793 - -1802. Put -0.5, 2, y in decreasing order.\nAnswer: y, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x**3 - 159*x**2 - 3*x + 9511?\nAnswer: -9*x**2 - 318*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 3}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 4, s: 4, e: 1, t: 3}. What is prob of sequence er?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -a9a2?\nAnswer: -a9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0607531 - 387.0582.\nAnswer: -386.9974469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*h = 53511, -11*l + 15*l - h - 42813 = 0. What is the highest common divisor of l and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:35 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4 + 6*l - 3\/4*l**2.\nAnswer: -3*(l - 7)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 (base 4) in base 3?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/4*-2*100. Suppose 5032 - 5192 = -16*k. Calculate the greatest common divisor of k and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 35\/4*z**3 - 37\/4*z**2 + 9 + 1\/4*z**4 - 35\/4*z = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**2 - 6*s - 6. Let q(v) = 17*v - 137. Let a be q(8). Let r(m) = m**2 - m - 1. Determine a*h(d) + 6*r(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/104 and 133\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 32*b**2 + 170*b + 300.\nAnswer: 2*(b + 5)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38139 + -1372991\/36. Which is the nearest to o? (a) -0.3 (b) -4 (c) -2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9243 and 156.\nAnswer: 36972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*k + 541 = -151 - 14 + 40 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 - 5 = 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 6376*o + 6380 = 0.\nAnswer: -1, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/9, 1, 3.6 in decreasing order.\nAnswer: 3.6, 1, 2\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2435*g = 2451*g + 10, -p = -5*g + 1 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*c + 4*u, -3*u = -0*c - c - 2. Let p = -0.04429 + 6.04429. Is p > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 19 + 29. Suppose 7*c - f = -c. What is the second derivative of 14*a + 26*a**c + 6*a**5 - 56*a**2 + 30*a**2 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 1. Let j(b) = -3. Give -j(h) - 2*x(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 0, -4\/27, 2, 8, 138?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 3*a. Calculate the remainder when ((-94)\/(-6))\/((-1)\/(-3)) is divided by 8\/a*48\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Let m(y) = 2*y + 290 - 578 - 4*y + 287. Let w be m(n). Let p(v) = v - 3. Determine p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - n - 54, 4*n = -l + 5. Suppose -11 = 2*x - l. Suppose 0*r + 10 = -2*r, -x*g - 3*r = -96. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r**2 + 68*r**2 + 158*r**2 + 74*r**2.\nAnswer: 226*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 63653?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:12 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f - 1. Let v(p) = 2*p**3 - 4*p - 5. Let b = -27 - -31. Suppose -b = -2*z - 2. Determine z*v(h) - 3*g(h).\nAnswer: -h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.795l to millilitres.\nAnswer: 436795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y + 84. Suppose -2*b = 11*j - 7*j - 202, -4*j + 5*b = -237. What is the remainder when j is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -13529118318?\nAnswer: -13529118315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.8701kg in micrograms?\nAnswer: 346870100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2247*p + 3253 + 109097 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50742617*y**3 - 9*y**2 - 372*y + 235 wrt y?\nAnswer: 304455702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86577 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/18*39\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.60068 equal to -5140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose -4*j = -9*j, b*j - 9 = -3*z. Solve 0 = -z*d + 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (1881\/(-132) - 20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboboeeeoeoobbbb. What is prob of sequence bobe?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 4*p. Suppose -2*j - j - 4 = 2*k, 3*j = -12. Let f be s(k). Let w(o) = f + 7*o**2 + o**2 - 1. What is w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3*1)\/(2\/1484). Let u = -129111\/58 - y. Let o = u + 173\/1102. What is the closest to 1\/3 in 2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214697?\nAnswer: 7, 30671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 21. Let n(o) = -o**2 + 15. Let t(a) = 5*c(a) - 7*n(a). Let r(v) be the second derivative of 0*v**2 + 0 - 7\/6*v**3 + v. Determine t(r(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 57 = -2*c - 3*l, 0 = 3*c - 2*l - 47. Let r = c + -45. Let m be (-8)\/r - (-18)\/(-14). Is m not equal to -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/4, 4\/13, 1980, 0.4, -2\/157?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let u = -8.5 - -11.5. What is the nearest to c in -0.5, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 3*n**2 - 2*n. Let o be m(-1). Let q = -71.8 - -72. Which is the closest to -5? (a) 2\/3 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-27))\/(-5))\/(((-400)\/48)\/25).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 - 227275*x**2 + 227280*x = 0. What is x?\nAnswer: -45456, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 1\/5, -1\/6, 0.06 in increasing order.\nAnswer: -1\/6, 0.06, 1\/5, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 68, 27 in descending order.\nAnswer: 68, 27, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*v + 2)*(46*v**2 - 3*v**2 + 19458*v**3 - 19531*v**3) in the form f + q*v + k*v**3 + b*v**2 + d*v**4 and give d.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4766.9 - 4767. Let t = 0.6 + -0.1. What is the nearest to -6 in r, 3\/4, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 5*r - 86 = -3*k, -78 = -3*k + 3*r. Let z = 43 - k. Differentiate -20*w**2 - 12*w**2 + z + 1 wrt w.\nAnswer: -64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(-2)*34\/(-85). Determine l so that 1\/3*l + 1\/3*l**d + 4\/3*l**2 + 2*l**3 + 0 + 4\/3*l**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6*y + 142 = 0, -685*a + 2*y = -681*a + 146 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/3 - 13*z**4\/12 - z**3 + z**2\/6 + 2*z\/3 + 8. Factor p(o).\nAnswer: -(o + 1)**3*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {p: 2, g: 2, s: 3, w: 4, x: 3, v: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 82 - 462. Is (14\/3)\/(q\/(-171)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -81.9. Which is the closest to r? (a) 3 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*h, 178*h - 176*h = 5*y + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/63 and 26\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 59064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 13*v + 24*v + 49.\nAnswer: -v + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228851398 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(2 + -2). Suppose -2*y = -n*y. Let g = -1 + y. Put g, 3, -4 in ascending order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/9)\/((-48)\/216). Let g(t) = t**2 + t. Let a(x) = -x**3 - 2*x**2 - 2*x. What is f*g(v) + a(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 k, and 1 j when four letters picked without replacement from {v: 1, c: 2, j: 1, e: 1, z: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 13. What are the prime factors of (-3 + t + 0)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 271.2829ng?\nAnswer: 0.2712829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764, -761, -756, -749?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230783, 923135, 2077069, 3692591, 5769707, 8308423, 11308745, 14770679?\nAnswer: 18694231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17217420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 3. Let x be f(3). Let c(j) = -j**2 - j**3 + 2*j**x + 5 + 3. What are the prime factors of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:19 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-15))\/((-6)\/99). Let i = 98 - 98.1. Which is the third smallest value? (a) o (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*g - 2*c, c = 2*g - 53 + 51. Put 5, g, -0.4, -0.18, 1 in descending order.\nAnswer: 5, 1, -0.18, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -207\/4 + 3\/4*r**2 + 51*r = 0.\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/33, 2\/9, -3\/23, -0.4, 1\/8?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 4*h**2 - 7*h - 10. Let r be 6\/(-27) - 68\/18. Let v be x(r). What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 24*m**2 - 545*m - 24. Is 4 a factor of k(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmtmmmtmmmtmm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from ovnnnxmznoxzzvxo?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 - 1116182*d\/11 + 23438940\/11.\nAnswer: 2*(d - 558070)*(d - 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*w - 2*w + 110*w + (5 - 4 + 0)*(-3*w - 3*w + 5*w) + 0*w - w + 0*w.\nAnswer: 73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 2 - 2)*(-4 + 3*c**2 + 4 + (3 - 2*c - 3)*(2*c + 2 - 2)) + 15*c**3 + 201*c - 401*c + 205*c as o + y*c**2 + x*c + m*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 425*c - 2094. What is m(-5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.6 (b) -0.3 (c) 5 (d) -2\/47 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b. Let w(q) = -12*q + 261. Calculate w(t(k)).\nAnswer: 36*k + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -0*q, 0 = -b + q - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39199832?\nAnswer: 2, 7, 43, 73, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 8*i. Suppose 2*g - 2 = i. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4867 = -5*k + 673, -1100 = -k - 3*d. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) - sqrt(64)*1)\/sqrt(4))\/sqrt(8)*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 - w. Let l be b(-14). Suppose -4*a + 14 = 4*v - l, 2*v = 5*a - 21. Solve 9*p = a*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14222 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -0*s - s, 3*v + 23 = 4*s. Suppose -4*c + 13 = 57. Sort c, -4, v in decreasing order.\nAnswer: -4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-2))\/g))**38)**44 assuming g is positive.\nAnswer: g**5016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27689116 by 13.\nAnswer: 2129932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164328 + 164332. Suppose -3*f + 0*f = x - 7, x - f = 3. Let k(n) = -x*n - n**2 + 4 + 2*n**2 - 3. What is k(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.8 - -0.2. Let g = -79.99961 + t. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23022299.\nAnswer: 53, 434383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40285*s**5 - 24*s**2 - 83692986*s wrt s?\nAnswer: -805700*s**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 - (3 - 4). What is the units digit of r + 3\/((-15)\/(-395))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027451834 rounded to seven decimal places?\nAnswer: -0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45808\/49*77\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(0 + 1 + 0)*(-n**4 + 3*n - 3*n).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*j - 10, 3*j - 3*p - 20 = -j. Let v(f) = -f. Let b(d) = -d**2 + 5*d - 2. Let r(y) = -b(y) - 3*v(y). What are the prime factors of r(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from thhhttttththt.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2 - 0. Let k be -3 - b - 1816\/9. Let h = k + 204. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -25. Suppose -r*l - 2*n = n - 40, -40 = -4*l + 3*n. Suppose 0 = -2*g + 4, 4*z - 4*g + 9*g - l = 0. What is the smallest value in z, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41192565, 41192566, 41192567, 41192568, 41192569, 41192570?\nAnswer: 41192571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/2998 (b) -0.1 (c) 0.4 (d) 1\/6 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9. Let f = 2 - s. Factor 4*v**3 - 11*v**f + 6*v**3 + v.\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:44 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 41*r**2 + 626*r + 2. Let o(v) = v + 11. Give o(b(h)).\nAnswer: 41*h**2 + 626*h + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-218)\/(-10) - (-6)\/30. Let o = r - 24. Let g be (19\/(-6) - o) + 1. What is the second biggest value in g, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221396779 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o + 1\/3*o**3 + 7\/24*o**4 + 2*o**2 + 0 + 1\/60*o**5. What is s(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512924663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207.2 + 61.2. Let r = -146 - f. Let j = -2 - 0. Which is the fourth smallest value? (a) r (b) j (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 105 = -14. Let u(t) = -t**2 + 13*t - 5. Let a be u(g). Is (-223)\/(a\/(-1 + 6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:06 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -3*k - 2*j, -2*k + k = -2*j - 63. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*-1*(-3)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 3:28 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0 + 1\/60*o**5 + 1\/6*o**3 + 0*o + 1\/8*o**4 - o**2 - 1\/360*o**6. Let s(w) be the first derivative of p(w). Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/752028 and -13\/1668.\nAnswer: 104531892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2386684.44us?\nAnswer: 0.0000039462375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 3}. What is prob of picking 1 l and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 3, -2023 in increasing order.\nAnswer: -2023, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102843 divided by -4.\nAnswer: -102843\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from reeraaraaeh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4185*j**2 - 1099*j**2 + 2663*j**2.\nAnswer: 5749*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10588000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1257339, -2514847, -3772357, -5029869?\n\"Answer: -w**2 - 1257505*w + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from {b: 2, l: 1, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -2\/7, 2\/3, -15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-8)\/20). Let q = -1 + h. Suppose q = -0*i + i - 4*k + 1, 0 = -i - k + 4. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3)*65\/(6500\/(-120))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.3 (c) 0.03 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489429796.\nAnswer: 2, 17, 97, 74201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6697 and 26788.\nAnswer: 26788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52\/3 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -496, 0, 3 in decreasing order.\nAnswer: 4, 3, 2, 0, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 2*b**2 + 3*b**2 + b**2. Let n(x) = 24*x. Determine l(n(t)).\nAnswer: -1152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -179*v**2 + 8*v + 714. Determine b(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/3 + 5196*a**4 - 30342026*a**3\/3 - 40518408*a**2 - 121617608*a\/3 = 0.\nAnswer: -2, 0, 3899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*-3 - 2. Suppose 3*w + 0*v - 1 = -v, -3*v + 12 = x. Let c(f) = -f**3 - 19*f**2 + 18*f + 649. Let m be c(-18). Sort w, m, -5 in decreasing order.\nAnswer: m, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2472720 and -127\/1483632.\nAnswer: 7418160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101096 equal to 2101076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + 24. Let v be 6\/(-8) - 1134\/l. What is the remainder when 10 is divided by 4\/14 + v\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24\/5, -3551, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-4)\/(-128)*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2 - 17*s - 11. Let u be f(-4). Suppose -u = 4*h - 7*h, -4*g = -2*h - 978. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -66. Suppose 0 = o*u - 2*u - 1295. What is the greatest common divisor of u and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311874765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 938 = 3*v, -4*v + 1336 - 67 = 3*y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292451745 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044672 to seven decimal places.\nAnswer: -0.0000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14493822 * -3\nAnswer: 43481466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14850 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/sqrt(4) + (-3*sqrt(12))\/sqrt(6)*1.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.6164 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 13*h - 5. Let v(f) = f**3 - 14*f - 6. Let y(q) = -6*j(q) + 5*v(q). Find the second derivative of y(t) wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33004145123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**3 - 19*l**3 - 19*l**3)*(-l**2 - 1 + 1) + 5*l + 2*l**5 - 5*l.\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 1)*(-1)\/(-3). What are the prime factors of (-6)\/((-3)\/(-3)*r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 2*f - 2 + 37*f**2 - 7*f - f.\nAnswer: 25*f**2 - 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 5. Let h(w) = -4*w + 5. Let s(v) = 2*h(v) - 3*l(v). Suppose 0 = -5*i - 0*i + 25. What is s(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 15) + 112 - (-9 + 16 - 6).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o - 1. Let h(j) = -2*j**2 - 2*j + 1. Suppose 3*g - 3*s = -6*s - 24, -s - 32 = 5*g. Let x(c) = g*b(c) - 5*h(c). What is x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-190)\/4*((-59384)\/130 - -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.96 - -0.96. Which is smaller: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 6. Let f(d) be the first derivative of -4*d**2 + 7*d - 17. Let p(s) = -6*f(s) + 7*i(s). Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -15 - 30 - (42 - 25).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3144 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4744 + 19101\/4. Factor -5\/4*g**2 + 25\/2*g - z.\nAnswer: -5*(g - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7 - 11 + 9*i - 4*i + 17. Let l(v) be the first derivative of v**2\/2 + 6. Let h(w) = l(w) - p(w). Differentiate h(f) with respect to f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-96))\/(1\/(-3)). Factor 0*m**3 - j - 1\/4*m**4 + 0*m + 1\/2*m**2.\nAnswer: -(m - 1)**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, a: 4, l: 5}. What is prob of picking 2 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 + -2. Let z = -117 - -40.6. Let d = 76 + z. Which is the nearest to -2? (a) 3\/7 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15950*x + 20. Let c(r) = 2279*r - 3. Give -20*c(q) - 3*f(q).\nAnswer: 2270*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 843*v + 1555. What is a(-2)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b**2 + 11270*b - 25. Let p(z) = 2*z. What is p(y(c))?\nAnswer: -20*c**2 + 22540*c - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**4 - 16*f**4 - 2*f**4 - 14*f**2 - 14*f**4 wrt f.\nAnswer: -600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {h: 7, d: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11098099 + -1?\nAnswer: -1109809a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*x - 15*x + 60*x - 176*x + 65*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 8. Let d be 120\/28 - 0 - 6\/21. Is d\/f - -147 - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:07 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5 + (-8 - -9)*117 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143446001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6937 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269721?\nAnswer: 3, 23, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 5. Let s be 1*a\/(-9)*-1. Factor -s*d**5 + 0*d**2 + 0 - 1\/3*d**3 + 2\/3*d**4 + 0*d.\nAnswer: -d**3*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19710 is divided by 1042.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2061*z - 4180.\nAnswer: 2061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(300)*-2 + 1 - (0 + (sqrt(300) - (sqrt(300) + 1))))**2 - ((6*(sqrt(3) + 0))**2 - (1 + sqrt(48) - sqrt(48)))).\nAnswer: -80*sqrt(3) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1355908661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 3*f**4\/8 - 2*f**2 - 7. Let l(q) = 13*q**2. Give b(l(z)).\nAnswer: 117*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-11) - 699\/(-33). Suppose -4*q - 8 = -2*j, 5*q - z = -2*j + 5. What is the smallest common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -13 + (-2 - -6) - (0 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2451.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/((-64)\/704)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - d + 157 - 571 = 0, -m + d - 422 = 0. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 1. Let j be x(-1). Suppose 0 = -d - 5*t - 24, 3*d = 2*t + 5 + j. What is the derivative of 0*i**4 + 0*i**4 - i**4 + d wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1385308850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a07 (base 13) to base 3\nAnswer: -2022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Let j be 1\/i + (-238)\/(-336). Is j greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjpghychp. Give prob of picking 1 p and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 28*m - 57*m - 11 to q*m + i and give q.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.06689 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*w = 333*w + 462 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 20*s + 103. Calculate the remainder when g(-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1487275 and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Let c = -1 - p. Suppose c = 3*m + 2*m - 5. What is the highest common divisor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 132, -258, -930, -1890, -3144, -4698, -6558?\nAnswer: -8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.8 + -28. Let p = -0.1 - o. Let r be 12\/20 - (-33)\/(-105). Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1096302*w**3 - 20*w**2 + 102993476?\nAnswer: -3288906*w**2 - 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 2, y: 1, w: 1, e: 1}. Give prob of picking 1 d and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*v = 18, -o - 2 = -2*v - 11. Suppose -11 = -3*z + 2*u, -4*z - 6*u = -3*u - 9. Let p = z - o. Is -1\/4 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)*l**1*l**(-4\/3)\/(l**(-5)*l))**(-19\/3) assuming l is positive.\nAnswer: l**(-3667\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 4)*(4 - 2 + 1)*(-2*k + 6*k - 3*k) + 12 + 15*k - 42 - 14*k as w + x*k and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -0.3, 0.1, 3 in decreasing order.\nAnswer: 194, 3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgbjjgcjccjjgccc. What is prob of picking 1 g and 1 c?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7179543ng?\nAnswer: 0.0000000000000007179543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a century in months?\nAnswer: 30800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose -2*w - i + 24 = 0, z = -4*w + i + i + 32. Let a be (-4)\/(-2)*(-5)\/w. Is -1 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 12 = 0, -2*t - 22 = -3*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2 + 19*n - 24*n + 4*n + n - n + (-2 + 2 - 2)*(0 - 2*n + 0) + 3*n - 74 + 80 - n.\nAnswer: 5*n + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, -2, -8\/3 in increasing order.\nAnswer: -8\/3, -2, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 30*u - 207. Let g(k) = k**2 - 30*k + 211. Let i(b) = 5*g(b) + 4*o(b). Let q be i(13). Solve 0 = 2*v + q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51639013 and 246291.\nAnswer: 154917039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+12975897488\nAnswer: 12975897487.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -84*(6\/9)\/1. Calculate the common denominator of 0 + 2 - (-340)\/h and (9\/(-360))\/(3\/(-378) + 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Suppose -3*n = 5*f + 21, 2 = 2*f + 4*n + 16. Put w, -6, f in ascending order.\nAnswer: -6, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14700588, -14700589, -14700590, -14700591, -14700592?\nAnswer: -14700593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 819 divided by 273\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*o - 7*o - 832 = 0, 3*t + o - 842 = 0. Suppose 3*a + t = 1585. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 95 + 25. Let b(k) = -9*k + 813. Let q be b(73). Calculate the greatest common divisor of w and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4746*l**2 - l + 23 wrt l.\nAnswer: -9492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*q + 3*j, j + 25 - 10 = q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 48. Suppose b + y = -6*a + a, -3*b = 3*a + 36. Let z(k) = -2*k - 17. Let g be z(b). Solve -g*l - 33 = -4*d, -5*l - 35 = -2*d - 3*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 836311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*y + 10, -13 = 3*y - 1. Suppose 2*g + d = 3*g. What is the third derivative of -5*j**6 - 2*j**2 + 0*j**g + 3*j**2 wrt j?\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m + 8 - 8)*(-46 - 29 + 27)*(0*m + m - 3*m) + 0*m + 0*m - 8*m**2 + (2 + 1 - 1)*(2*m**2 + 0*m**2 - m**2) in the form j*m + p + k*m**2 and give k.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 13. Let p(q) = q**3 + 6*q**2 + 2*q - 5. Let a be p(u). Suppose m = -m + a. Solve j + 2 = 1, j + 6 = -m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 9674267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.0934 millennia to decades.\nAnswer: 809.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 4*d**2 + 0*d**2 + (4 + 2*d - 4)*(d - 3 + 3) + 0*d**2 + d**2 - 5*d**2 + (-2*d + 3*d - 3*d)*(5*d + 0*d - 4*d) to u + f*d**2 + a*d and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwwjwwwwwwwwwjjwww. What is prob of sequence jww?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122102010 (base 3) to base 11.\nAnswer: 959a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200516.\nAnswer: 2, 50129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 639*h - 21708 = 0. What is h?\nAnswer: -603, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 74?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/366181, -21, -2\/3 in ascending order.\nAnswer: -21, -2\/3, -3\/366181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(2 + (-20)\/8). Solve f*j - 4*w - 16 = 0, -3*j - 2*w - 12 = -6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2 + 1. Suppose 3*p + 2 = -5*u + 3, t = 3*u + p. What is the second derivative of 40*a - 6*a**4 - 51*a**2 + 26*a**2 + 25*a**u wrt a?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3270 = -5978. Suppose -3*q + 770 + v = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:32 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f + 7*f - 16*f. Let y(o) = -2*o - 98. Let p be y(-50). Let w(u) = -3*u**p + 9663*u - 9663*u + u**2. Give r(w(i)).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*s**2 - 2238*s**2 + 1119*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -31727.1 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*w**2 - 7*w - 1406 + 14*w**2 - 26*w + 52*w + 3745 wrt w.\nAnswer: 156*w + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -578, -649, -758, -911, -1114, -1373?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -179497\nAnswer: -717988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r, -4*a = -2*r - 32. Suppose -a*j = 3*j - 198. Calculate the highest common divisor of j and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/33)))\/k**26 assuming k is positive.\nAnswer: k**(-859\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*9*(-1)\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**4\/24 - 9*a**2. Let f(s) = 4*s**2 + 6*s - 6. Let r(x) = x**2 + x - 1. Let t(k) = f(k) - 6*r(k). Determine j(t(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o + 3. List the prime factors of t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:22 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-1 + 3*x + 1)*(-4*x + 2*x + 0*x) + 0*x - 2*x**2 + 0*x.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 29) + (2 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96197989?\nAnswer: 829, 116041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 375*p.\nAnswer: 375*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-119 - 430 - 273)*(-7*t**3 + 6 - 6) to the form u*t**2 + w*t**3 + a + o*t and give w.\nAnswer: 5754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73147862\/2349 - -31140. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26738 (base 9) to base 12\nAnswer: a582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3920 - 3911. Let z = -5\/19 - -17\/209. Which is the third biggest value? (a) z (b) y (c) 0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p + 14. Let u(a) = -5*a + 4. Let y(m) = 2*j(m) - 7*u(m). Let k(h) = 10*h + 2. Give k(b) - 6*y(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - g + 1. Let d(z) = 108*z**3 - 648*z**2 - 324*z + 324. Give 2*d(p) - 648*q(p).\nAnswer: 216*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-376)\/(-3) + (-2)\/(-3). Suppose -3*q + 4*r + y = 21, -4*q = -4*r - 140. What is the common denominator of q and 2\/9*1554\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 3\/13 (c) 3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 69*m**2 - 118*m + 1341. Determine t(-71).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:34 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 2*i)*(-3*i + 0*i - i) - 2*i**2 - i**2 - 3*i + i.\nAnswer: 5*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -17, 441, -49, -0.2, -1 in descending order.\nAnswer: 441, -1\/11, -0.2, -1, -17, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 162 = -3*t - 0*t, 3*t = u + 162. Let w = t + -55. Is 19 a factor of w\/(4\/(-19))*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 4, 2 in increasing order.\nAnswer: -15, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2566*d + 2462*d - 5111*d.\nAnswer: -83*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119.9891 + -120. Round m to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43021383?\nAnswer: 3, 107, 223, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - s = -22378, 389 - 395 = -3*s. Does 77 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 635*f**2 + 22200*f - 126000 = 0 for f.\nAnswer: 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n - 76320040 = -57*n. Suppose 0 = 3*x - r - 14310002, -3*x = x - 5*r - n. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**3 + 13*w**2 + 7*w + 7. Let b(x) = -11*x**3 - 20*x**2 - 11*x - 11. Let a(g) = -5*b(g) - 8*d(g). Let u be 1*-1 - (42\/10 - 210\/175). Give a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6502\/3 (b) -313 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1398902 by -1.\nAnswer: 1398902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1638 and 24.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 548451739, 548451741, 548451743?\n\"Answer: 2*g + 548451737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708481.932 rounded to the nearest 100?\nAnswer: 2708500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p + 154. Let r be d(-15). Factor -1556*i**4 + 15*i - i**5 - 1554*i**4 + 16 - 8*i**2 - 16*i**3 + 3103*i**r + i.\nAnswer: -(i - 1)*(i + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 + 14.26. What is the nearest to -1 in 0.4, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*n - 12, 0 = -4*a - n - 0*n + 5. Find the third derivative of -4*q - a*q**2 - 2*q**6 + 4*q wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9*w - 472 = 0. Let p = w + 67. Let q(l) = 0 - 8 - l - p. Let b(c) = 2*c**2. Give b(q(i)).\nAnswer: 2*i**2 + 64*i + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932150 is divided by 155358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i*w**2*x**3 - 193*i*w**2*x**2 - 113*i*w*x**3 - 2*i*w*x - i*x**3 - w - 4*x**2 wrt x.\nAnswer: -18*i*w**2 - 678*i*w - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + 0*v**3 + (4 - 2*v**2 - 4)*(-2*v + 0*v + 4*v) - v**3 + 0*v**3 + 2*v**3 - 2*v**3 - 2*v**3 + 2*v**3)*(v**2 - 2*v**2 + 5*v**2).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 29*z. Determine l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -112332320321?\nAnswer: -112332321011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 + 2*m**2 + 2*m - 2. Let i be h(-4). Find the second derivative of o - 6*o**2 + i*o**2 + 0*o wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 8*t**2 - 4*t - 24. Let b be m(-8). Solve b = 5*y + 3*n - 7, -3*y + 9 = 5*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 i when three letters picked without replacement from {j: 2, l: 1, i: 3, f: 10, m: 2, k: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52531.38km?\nAnswer: 52531380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163d (base 14) to base 7.\nAnswer: -14406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 + 1263\/8. Let q = 0 + -0.1. Let f = -0.4 + q. Which is the third biggest value? (a) 1\/4 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208*u**2 - 208*u**2 - 1 + 18*u**3)*((0*u - u - u)*(2*u + 3*u - 6*u) + 2*u**2 - u**2 - 2*u**2 + (2*u + u - u)*(0*u + 6*u - 3*u)).\nAnswer: 126*u**5 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6884 in -0.4, -3\/5, -1\/4, -0.3, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 832, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -14776.\nAnswer: 1\/7388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 723, 1222, 1721, 2220?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g**3 + 0)*(6 - 3 - 5) - 5*g + 0 + 0 - 2*g**3.\nAnswer: -4*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + 0 - 1 - 1 + 1 - 1 + 2 + (7 - 3 - 2)*(4 + 0 - 3) + 4 + 1 + 3)*(0*j + 0*j + 3*j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*h = 2*d - 854*h - 9, -3*d + 26 = 5*h for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3 + 305*x**2 - 2 - 126*x**2 - 1. Let r(d) = -4*d. Give u(r(g)).\nAnswer: 2864*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*k**2*q**2 + 13*k**2*q - 3*k*q**2 + 141*k - q**2 wrt k.\nAnswer: 88*q**2 + 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and -2\/447.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = -0*g. Suppose -s + 30 = 3*j, g*s = s - 5*j + 2. Solve 3*c + 5*w = -s, 4*c - w - 1 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - -8 - 18) + -4 - (-19 + 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5100) + sqrt(5100) + sqrt(51))\/((sqrt(9)*-1)\/sqrt(3)) + 5*(sqrt(119)\/(3*sqrt(7)*2 + sqrt(7)))**2.\nAnswer: -sqrt(17) + 85\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 + (0 + (-1 - 3) - 0) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (302\/2718)\/((-2)\/(-60))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 20, -0.4, 1\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9 and 33\/97?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15128 + 15766. Calculate the least common multiple of h and 1044.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*b = -20, 0 = -4*d - 20*b + 22*b - 10. Let l be (-2542)\/3280 - (3\/(-8) - d). Which is bigger: 0.21 or l?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 34 - 4. Let t = f - -37. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 4*s**3\/3 + s**2\/2 - 5*s + 8. What is n(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 49. Calculate the smallest common multiple of 0\/(-2) - (-2 - 0) and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 58*f**3 - 25*f**3.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c4de (base 15) to base 3.\nAnswer: -11200112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - 2*s**2 - 2*s + 3. Calculate the lowest common multiple of 3 and b(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 4, -2*x - 229 = -3*k. Let v be (-1)\/(-1 + 0) + k. Calculate the greatest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4262 (base 14) to base 9.\nAnswer: 16636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.62 - 3.62. Let k be 2\/5 + 3005\/(-75). Let q = k + 40. Which is the nearest to q? (a) -4 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 60*k - 48. Give t(-1).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*f + 132. Let p = -23 - f. Sort -3, p, 0 in increasing order.\nAnswer: -3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = 0, 454 = c + 3*n - 240. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 730*n - 8712. Determine w(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s - 60. Let b(a) = -5*a. Let f(l) = -14*l. Let k = 18 + -13. Let h = 9 - k. Determine h*f(x) + s*b(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 33. Let z be w(-19). Suppose 5*r - 3*y = 120, 3*r = 4*r + y - z. Solve -5*f + 5*o - 19 = 16, 4*f + r = 2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.108264ns in days?\nAnswer: 0.0000000000013206975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f + 2. Let x be g(3). What are the prime factors of (x\/6)\/(2\/(-6))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430100 is divided by 449.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-15))\/((-1)\/3). Suppose -2*x + b = -6. Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2*14\/(-4). Let v be 16\/14*q\/2. Solve -3*b - j + 16 = 0, -2*b = -v*j - 4 - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 497236842 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 288290 (b) -122 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3 - 55. Let o = 27 - h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 5, -0.2, 151, -4351, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.22 - 2.2. Which is greater: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -6\/89 (c) -1\/3 (d) -453777\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 1370, 1725, 1950, 2051, 2034, 1905, 1670?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17856, 41 in decreasing order.\nAnswer: 41, 1, -17856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1646\/(-10699))\/((-4)\/3198)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398 - 72 = -5*k. What is the least common multiple of 9 and k?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 67 + 63. Suppose -m - x*l + 6*l = 21, -4*m = 4*l + 36. Which is the closest to -4? (a) 0.1 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39 + (-6)\/(-5 + 7). Let n(z) = -z**3 + 12*z**2 + 16*z - 16. Let b be n(13). Let h be 1\/2 - b\/(-2). What is the greatest common divisor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.184 - 0.655. Let k = -0.52 + c. Let y = -0.361 - k. Is y at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -243\/2, -0.186, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 2649808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 326456*n - 11752448\/9.\nAnswer: 2*(n - 4)*(n + 1469056)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 239520620\/25 + 2\/10. Let h = r - 15380825. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5662 - -5665. What is the greatest common factor of y and 1107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/450*(-5)\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, 10, -2, 38 in descending order.\nAnswer: 38, 10, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert e67 (base 16) to base 6.\nAnswer: 25023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3494 in increasing order.\nAnswer: -3494, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/10 - 19*p**4\/12 - 19*p**3\/6 + 35*p**2\/2 - 40*p. Is x(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151984463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - (6 + -69)\/(-7). Let p = 7.1 + -8. Let w = p + 4.9. Sort w, -1, f in ascending order.\nAnswer: -1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457416\/33 >= 74467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/3, 60, 45, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddyykddypdpyp. Give prob of picking 1 y and 1 p.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -560, 2, -357513 in descending order.\nAnswer: 2, -560, -357513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Find y, given that y**3 + 8*y**4 + 11*y**3 + b*y**4 - 15*y**4 - 18*y**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 2*z**3 + z**3 + (1 + 0 + 1)*(z**3 - 5*z + 5*z) - 34216545 - z**3 + 34216545 - 5098*z as f*z**3 + y*z + h + t*z**2 and give y.\nAnswer: -5098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + h**2 + h**2 - 2*h**2 - 1 + 1 + (3*h - 2*h - 2*h)*(-h + h - h) + (0*h + h + 0*h + 2)*(h + 0*h - 4*h) to s*h**2 + x*h + l and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -425*b**7\/42 + 1789*b**3\/3 - 3721*b**2. Find the first derivative of l(f) wrt f.\nAnswer: -8500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/81)\/f*f))\/f)**2\/(f\/f**(-34)*(f*f*f**(2\/123)*f)\/f*f) assuming f is positive.\nAnswer: f**(-126088\/3321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 20264*v**2 - 21119*v**2 + v to the form n + c*v + k*v**2 and give k.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 7:39 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 11*s**2 - 17*s + 29. Let a be b(-13). Let m = a + 88. Solve l - 5 = -m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -5*z + 5, 3*z - 27 = -5*q. Let n(y) = -42*y - y**2 + 36*y + 2*y**2 + 5. Determine n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 1523 - -19 - 20\/4*-1?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d15 + -162?\nAnswer: 9ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2.6 (b) 4\/17 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hejd when four letters picked without replacement from {d: 1, e: 1, h: 2, a: 1, l: 2, j: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-8)*16720\/9405.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -17.9899\nAnswer: -8.99495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 109*g + 680. What is the remainder when 952 is divided by s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7 = 14. Let m be w\/(-3) - (-2)\/(-6). Suppose -p + 3*b + 27 + 21 = 0, -m*b - 188 = -5*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/21 + -5\/14. Let u = 1\/45 - 2\/9. Let w = -0.24 + -0.76. What is the closest to u in w, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 10*h + 16. Let l be j(-3). Sort -8, 0, l.\nAnswer: -8, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33812 by 158.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 51) + 0 + (-1 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 0*m)*(-3*m - 2*m + 3*m) - m**2 + 11*m**2 - m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -11?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 45. Let q = r + -9. Suppose q = -6*o + 3*o + 27. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)\/(sqrt(192) - sqrt(12)))\/sqrt(192))\/(((2*sqrt(240))\/sqrt(8))\/(sqrt(30)\/sqrt(24))))**2.\nAnswer: 1\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9136888, -18273767, -27410646, -36547525, -45684404, -54821283?\nAnswer: -63958162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 3. Let o(l) = 8*l + 13. Let i(c) = -9*n(c) - 2*o(c). Suppose 4*y + 25 = -y. Calculate i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -2*n = z*n. Suppose 5*t = 4*r + 35, 2*t + n*r - 11 = r. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/8)\/((-2775)\/1480)*45)\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/14*(-462)\/(-132).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1117*i**4 + 8687*i**3 - 41566000*i**2 wrt i?\nAnswer: -26808*i + 52122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31775912 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 10*v + 5 + 10 + 3 + 8 = o + 3, 7*o - 70 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 9*p**2 - p - 5. Let m(f) = -f**3 - f**2 + f + 1. Let a be m(2). Let r be x(a). Let v be (-5 + 5)\/(r\/(-2)). Solve -u + 5 - 2 = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/57)\/l*l)\/l**(-9)*((l*(l*l**(-1\/2)*l)\/l)\/l)**(-1\/9))**(-2\/83) assuming l is positive.\nAnswer: l**(-3047\/14193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-12 - 390\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*i + 589, 5*i - n + 2*n - 598 = 0. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67.46101km?\nAnswer: 6746101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 4 + (sqrt(384)*-2 + sqrt(384) + sqrt(6) + sqrt(6))\/sqrt(2)))**2.\nAnswer: -384*sqrt(3) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - (4 + (6 - 6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.61 * 13\nAnswer: -98.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393336253.\nAnswer: 83, 4738991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 31 = -o, -5*p = 5*o - 0*o + 45. Let f = p - -12. Determine h so that 0*h**4 - 5 + 10*h**2 - 2*h**4 - 3*h**f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/135)\/(1512\/(-1080))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -18. Suppose 2*i - 85 = 157. What is the highest common divisor of x and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 17976.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7787, -29588, -65435, -115334, -179291?\nAnswer: -257312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 54. Calculate the remainder when -1 + 2 - (-5 - 1) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1502601\/1150 + 29874\/23. Let a = 59\/25 - c. Calculate the common denominator of a and (3 - ((-62535)\/666)\/(-11)) + 5.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from cuuuuuuc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-6) - (-4)\/(-10)*1810\/543.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/1530*11\/((-132)\/(-54))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*d - 17, 2*l - d - 1 = 2*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*c**3\/5 + 149356*c**2\/5 - 3788954*c\/5 - 30980 = 0. What is c?\nAnswer: -1549, -2\/49, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + -3.89. Let s be (2 - 8\/4) + -8. Let j be (12\/s)\/((-12)\/10). Sort j, w, -0.3.\nAnswer: w, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 12*p**2 + 2*p + 32. What is the hundreds digit of c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 6. Let m(k) = -5*k + 9. Let f(w) = -5*m(w) - 7*q(w). What is the smallest common multiple of 3 and f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 - 195. Suppose 46*c + p = 52*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = 13, -4*z + 6 = 5*p. Let f(j) be the first derivative of 5*j**2\/2 + 3*j - 15. Calculate f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 1, n: 2}. What is prob of picking 1 n, 1 q, and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 182*d**3 - 3*d**2 + 2. What is s(1)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 19 + 32 + 64?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 20*p + 21. What is q(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/231 and 5\/14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 - 35. Let r = 42 - k. Calculate the greatest common factor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8, 8 = -5*r - 2*s - 3. Let a be r*(8\/(-12) - 0). What is v in -1\/2*v**3 - 1\/2*v + 0 - v**a = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4\/3 + 20080*c**3\/3 + 3526544*c**2\/3 + 4594880*c = 0. What is c?\nAnswer: -166, -4, 0, 5190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - -52) + -5 + (-59 - (-2 - -6)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1917668 = 61*g + 10*g. What are the prime factors of g?\nAnswer: 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.67 - -0.33. Let q = v - 12.35. Let k = 0.45 + q. Is -2\/7 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63135651*x**3 - 38 + 38.\nAnswer: 63135651*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) - 18\/12. Let g = 19 - 9. Calculate the remainder when (-4)\/((-32)\/(-28))*(v + -13) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6262197 litres in millilitres?\nAnswer: 626.2197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {p: 1, u: 1, o: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*w = 5*s + 10, 20 = -4*w + 3*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10188 a factor of 3329377272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}