diff --git "a/data/dm_maths/full_data/1326_11255.jsonl" "b/data/dm_maths/full_data/1326_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1326_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 65*q**4 + 11791035*q**3 - 40815810*q**2 + 16326360*q = 0 for q.\nAnswer: -181404, 0, 6\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10058 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 5, z: 3, v: 2, y: 3}. Give prob of picking 1 y, 2 b, and 1 z.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 213 * 56728.9\nAnswer: 12083255.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*g + 3*l, 3*g - 2*l + 9 = 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/7)*i*i*i*i*i*i\/(i*i**(-1\/3)\/i)*i*i assuming i is positive.\nAnswer: i**(163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9299?\nAnswer: 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 10. Suppose 0 = n*d - 3*d - 105. Suppose q = 4*q - 57. What is the remainder when d is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from cbcbucxccccccxxcxuc?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 88. Suppose -22*h + 115 = -171. What is the remainder when q is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -91205, 295 in increasing order.\nAnswer: -91205, 4, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f. Let n(v) = -9*v + 82. Determine -n(u) + 2*t(u).\nAnswer: 3*u - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-24)*4 + 4. Let y(n) = 2*n**3 - 20*n**2 + 2*n - 11. Let x be y(10). Solve -d*b = -x - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 1. Let u be c(-1). Suppose 0*l + u = -l. Is 5 a factor of (-25)\/10*l\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 5*t**2 - 3*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/100)\/((-1)\/3). Let o(u) be the second derivative of -u + x*u**5 + 7\/15*u**3 + 0 + 4\/15*u**4 + 2\/5*u**2. Factor o(h).\nAnswer: 2*(h + 1)**2*(3*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7492?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7328 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (0 - 5 + 4)*(1 + 0 + 1))*(-4*l + 2*l + 4*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035305 + 342687.\nAnswer: 342687.035305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulluuu. Give prob of picking 2 l and 2 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 24 (b) -2\/21 (c) -16.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920097841.\nAnswer: 3, 7, 137, 228637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxaiodxx. What is prob of sequence ad?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.0482 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 12\/953?\nAnswer: 12\/953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33772942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b + 2*b + 4*b**3 - 4*b**3 - 6*b**3 + (3*b**2 - 2*b**2 - 2*b**2)*(b - 2*b + 3*b) + 0*b**2 + 0*b**2 + b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 643210927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h**2. Let u(p) = -6*p + 27. Let c(v) = -v + 4. Let w(j) = -27*c(j) + 4*u(j). Give f(w(o)).\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 883 = -3*q - 2*q, -q + 3*r = -169. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y + 2. Let u(t) be the second derivative of 45*t**3\/2 - 35*t**2\/2 - 2*t - 9. Give -35*j(o) - 2*u(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 greater than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8434 + -8198. What is the remainder when h is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3950 + 6921. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122.5 + 122.500501. What is z rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684388*n**4 + 11*n**2 - 2666?\nAnswer: -16425312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 314*u**2. Let s(p) = -3*p**2. Determine s(f(h)).\nAnswer: -295788*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2759 = a, -3*n + 2024 = -5*a + 363. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, -3 in descending order.\nAnswer: 13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**3 + 3*p**3 - p**3)*(-335 - 363 - 339 - 96 - 70) to s*p**3 + a + b*p**2 + c*p and give s.\nAnswer: 2406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*h - 6016 + 71555 = -8563 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.512527559 rounded to four decimal places?\nAnswer: -6.5125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105 and -52613.9?\nAnswer: 5524459.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 9*h + 18. Let d = -9 - -21. Let x be v(d). Let t = -31 + x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*r**5*x**3 - 1386*r**4*x**3 + 3*r**2*x**3 + 2*r**2*x**2 - 2303236*x**3 wrt r?\nAnswer: 10800*r**2*x**3 - 33264*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2. Let d be a(-4). Suppose 2*l - d = 6. What is the least common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 8*s + 6. Let k be i(-6). Suppose 0 = y - 6*y + 4*g + k, 0 = 2*g + 10. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256282 (base 11) to base 7.\nAnswer: 24326436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1366, -5330, -11892, -21046, -32786, -47106, -64000, -83462?\nAnswer: -105486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -25607043*g. Let s(j) = 5*j. What is o(s(d))?\nAnswer: -128035215*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -6*z + 2*n, 49388*n - 47 = -5*z + 49380*n for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 11 + (18 - 21) - -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 3. Let g = -3 + 4. Let v = g + 1. Which is the nearest to 2? (a) v (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.47291mm to centimeters.\nAnswer: 2.647291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 31*x**5\/8 - 15371*x**4\/8 + 989737*x**3\/4 - 9181085*x**2\/4 + 42749775*x\/8 + 7381125\/8 = 0.\nAnswer: -5\/31, 5, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 35*n\/4 + 39.\nAnswer: -(n - 39)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = 32 + 76 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 6293.\nAnswer: 629.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -o + 5*g + 78, -4*g - 256 = -3*o. Suppose -5 = -5*u, -3*h - 2*h = -3*u + o. Is h smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -16212?\nAnswer: -16201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224632 (base 7) in base 4?\nAnswer: -1003033023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**10\/n*n)\/n*(n*n**(-1\/18))\/n)**(-26\/9) assuming n is positive.\nAnswer: n**(-2561\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38c + -b0?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k**2 + 21*k. Let c(a) be the third derivative of -a**5\/60 - 1298*a**2. What is m(c(h))?\nAnswer: -8*h**4 - 21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277 - 2\/(-3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 10*q**2 + 8*q - 23. Let x be j(11). Let n = x + 56. Suppose -b = -5*p - 1, 0 = 5*p - 4*b - n*b - 11. Let z(h) = -h - 1. Determine z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 209, 201, 191, 179, 165, 149?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 - 12*h**3\/5 - 14*h**2 - 96*h\/5 - 8 = 0. Calculate h.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 2*p = -2, -3*s + 5*p = s - 17. What is the third derivative of 4*r**2 + 0*r**2 - s*r**3 - x*r**2 wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 7.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 18. Let 33*p**3 + i*p**5 + 1 + p**2 - 3*p**4 + p**2 + 3*p - p**5 - 35*p**3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*z = 36, 4*z - 21 = -j - 0. Suppose 3*o + 165 = j*c + 5*o, 5*o = -25. Suppose -5 + c = -5*d. Let i(q) = -q**3 - 6*q**2 - 3*q - 2. What is i(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 332?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = -6*l + 198. Let j be -1*-218*1 + -19 + 17. Calculate the highest common divisor of l and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -86\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from wwoowowwwwwwwwowww?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16399*n**2 + 4*n + 5. Let u(q) = -2*q - 5. Let v be u(-5). Suppose -10 - 15 = -v*y. Let t be g(y). Round t to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 102 + 833 = -37*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 434.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 90 = 4*k, 9*k = 2571*h - 2568*h - 135 + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-33\/4) assuming d is positive.\nAnswer: d**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1582 divide 61860301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/12 and -49\/38170344.\nAnswer: 38170344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - (-7 + -6 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-8)\/20 - 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o - 9. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(1\/(-4)). Suppose -w*h - 2*h - 30 = -2*q, -2*h - 25 = -3*q. Let b(x) = -x**2 + 13*x - 16. Let u be b(12). Sort -1, h, u in decreasing order.\nAnswer: -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 27*m**2 + 22*m + 33. Let r be h(27). What is the greatest common factor of 759 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 21 + -27 + (-26 - 73).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 13*c**2 + 28*c + 18. Let r be ((-92)\/9)\/(-1) - (12 + (-1908)\/162). What is j(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6955\/265152 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 + 717*r**4 - 70358*r**3 + 2207806*r**2 - 18169641*r + 16031477 = 0. What is r?\nAnswer: 1, 11, 49, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x + 0*x**2 - 1\/2*x**5 + 1\/4*x**4 - 5 + 5\/2*x**3. What is the second derivative of a(y) wrt y?\nAnswer: -60*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**2*j**5 - 453*h**2*j**2 - 68*h**2 - 1193*h*j**5 wrt j?\nAnswer: 300*h**2*j**2 - 71580*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (295\/(-35) - -9)\/((-6)\/(-105))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 432*l**2 + 417*l**2 - 1030*l**2 - 1831*l**2 to the form d*l**2 + i + m*l and give d.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 1. Let o(z) = 2*z - 1. Let j(i) = i**3 + 4*i**2 - 7*i - 4. Let x be ((-2)\/(-1))\/((-4)\/10). Let t be j(x). Determine t*u(c) - 7*o(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106400 - -106404.5811. Let f = z - 4.63. Let a = f - -0.046. Round a to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 2 + 0*i**2 - 8\/15*i**3 + 1\/10*i**5 + 1\/75*i**6 + 65*i + 1\/15*i**4. Factor x(d).\nAnswer: 2*d*(d - 1)*(d + 2)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwjjwsxjhsxjixjj. Give prob of sequence hsj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -1, -9 in ascending order.\nAnswer: -9, -6, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-5\/13))\/((n*(n\/((n*n**(-2\/17))\/n))\/n)\/n) assuming n is positive.\nAnswer: n**(331\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/10 - 1936\/(-10)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from xxgglxxxx.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = -4*t + 24, 2*q = 4*t - 6. Let g(v) = -t*v + 4*v + 2*v**2. Let n(d) = -3*d**2 - d + d - 2*d**2. Calculate g(n(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0.2, 8178.602 in ascending order.\nAnswer: -3, -1, 0.2, 8178.602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 8*k**2 + 6*k - 3. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 1056*q = 1055*q + 13, 0 = -i + 5*q + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 617*p**4\/12 + 104*p**3 - 279*p**2 - 1. Differentiate k(q) wrt q.\nAnswer: 1234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/4, -0.14, -0.02, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.62292 millilitres in litres?\nAnswer: 0.08062292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20137 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 3\/(6\/(-4)). Let w = 21 - 18. Suppose w*a - 9 = 3. Calculate the greatest common factor of a and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 375*x**2 - 4618*x**2 + 444*x**2.\nAnswer: -3799*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 0, 4, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**3*m**(-2)*m**(-3\/4)\/m**(-1\/3) assuming m is positive.\nAnswer: m**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647294 is divided by 2642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (125 + -76 + (1 - 0)) - -9\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 946654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -28, -74, -158, -292, -488?\n\"Answer: -2*s**3 - s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - (-2 - (6 - 6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 27 = -b, 18*b = -m + 16*b - 809 + 770 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 - 3*n**5 + (2*n**3 + 0 + 0)*(-9578880*n - 114*n**2 + 9578880*n - 3).\nAnswer: -230*n**5 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1034 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.3 + 54.7. Let m = i + 17. Let q = m - 94.2. Round q to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0697 - -41.9303. Do v and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 0)*(-2 + 0 - 18)*(2 + 3 - 7) + (-4 - 1 + 6)*(3 + 0 - 2))*(i + 0*i + i).\nAnswer: -238*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*u = 36. Let l(k) be the third derivative of -k**4\/3 - k**3\/3 - 2*k**2. What is the remainder when l(u) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y + 2. Let z(u) = 21670*u. Calculate r(z(g)).\nAnswer: -173360*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 16286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:13 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1248 and -107\/2676.\nAnswer: 278304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-110)\/(-150) - (-2)\/(-5))*6. Suppose 4*z + i*d = 558, 4*z - 543 = -4*d + 5*d. Suppose -4*k = -673 + z. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/1 + 2)*-1. Suppose o - 102 = -d*m + 16, o - 80 = -2*m. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 765238815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/880 and -151\/6.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -40, -32, -24, -16, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3077068+-1\nAnswer: 3077067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76) + 4*(-1 + sqrt(19)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*u + 5*u - 233, u + 5*r = 57. Suppose -3*z + 31 = -5*t - 52, 4*t = -3*z + u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.552195206 to three dps.\nAnswer: -0.552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 23. Let g(d) = 7*d - 22. Determine -3*g(h) + 2*s(h).\nAnswer: -7*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81691624434758.548935913 + -81691624490518. Let b = i - -56713.4510632. Let w = 954 - b. What is w rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -604\/15 + 208\/5. Let k = -1 - -0.5. Which is the closest to 0.04? (a) k (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, 2, -22.\nAnswer: -22, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:42 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359536948?\nAnswer: 2, 53, 1695929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 15*i**2 - 13*i + 47. Let a be w(-16). Let k(y) = 1305*y**2 + 4*y + 3. What is the units digit of k(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088184862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 11 - (-11 + 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14 + 6 + 104*j - 22 - 15. Is x(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 33. Let s be (-9)\/2*(-22)\/m. Sort 2, -4, s in increasing order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 52*u + 1627. Calculate c(-74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(5))**2 + 2*(0 + sqrt(5)).\nAnswer: 36 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 1 + (0 + 18 - (96 - 89))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiuigmutuggu. Give prob of picking 1 i, 1 g, and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3200)*-1)\/sqrt(10).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7005 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142164*z - 141612*z = -18216 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 5\/(-1 - -16). Suppose 8\/3*t - 4*t**2 - n - 2\/3*t**4 + 8\/3*t**3 = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:35 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21132 by -3.\nAnswer: 7044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1752 + 1207. Let d = 539 + j. Put d, -2, 2, 1 in descending order.\nAnswer: 2, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, -476, -2125, -5468, -11069, -19492, -31301?\n\"Answer: -94*u**3 - u**2 + 142*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**3 - 10*w - 4 + 9*w + 2*w. Let q(p) = 9*p**3 + p - 3. Let k(a) = 3*b(a) - 4*q(a). Find the second derivative of k(m) wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1 + (-20 - 55\/((-10450)\/5380))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125, 236, 337, 422, 485, 520, 521?\n\"Answer: -m**3 + m**2 + 115*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 266.77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6251288158 to 3 dps.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7.7. Let z = -1.5 + v. Which is the nearest to 1? (a) -0.1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 16020?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, w: 1, a: 5}. What is prob of picking 3 h?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 281355\nAnswer: 8\/281355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69008?\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-309 - -311)*10\/(-14)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.077 - -27. Let d = -0.076882 - z. Round d to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 750 - 2572. Which is smaller: a or -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 39. Let w be (-8 + 7)*(-21 - q). Find y, given that 10*y - 4*y**5 + 10*y**2 + 12*y**4 - w*y**2 - 2*y - 4*y**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 56 = p. Let v = p + -51. Let s = 283 + -278. Solve s*u = 3 - v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 654*t + 654*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2053*l**3 - 3*l**2 + 54*l wrt l?\nAnswer: -12318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3410442 minutes to hours.\nAnswer: 0.00568407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 425733183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-27 + 37 - 30)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 18*m - 3*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32475 or -40?\nAnswer: -32475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240.3017904 - 240.3. What is g rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) + 2 - (8 + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 7. Let u be g(-3). What is the highest common divisor of 98 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*q**3 + 0 + (1 + q - 1)*(-1 + q + 1)*(7 - 2 - 3)*(31*q - 22*q + 4 + 28*q).\nAnswer: 72*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657319529180 + -1.1?\nAnswer: 4657319529178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 477\/6*3*(297\/81)\/(330\/40).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1199, 1226, 1301, 1448, 1691?\n\"Answer: 4*a**3 - a + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -83. Suppose 2*c = -0*c - 5*a - 684, 0 = -4*c + 2*a - 1416. Let n be ((-18)\/g)\/(66\/c). What is the greatest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.6 + 8. Let g = -0.1 - k. Which is the smallest value? (a) 1 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 325861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1374*b**3 - 1129*b**2 - 1123*b**2 - 1347*b**3 + 2252*b**2.\nAnswer: -2721*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1224)\/1360)\/((-6)\/10). Let d(y) be the second derivative of -20*y + 0 + 3*y**2 + 1\/4*y**4 - m*y**3. Let d(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -136. Put 0.4, g, 2, -2 in decreasing order.\nAnswer: g, 2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35347.39 take away 0.3?\nAnswer: 35347.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 6*z - 16*z. Suppose -z*l = -22*l + 20. Solve -l = 5*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28277000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8643 times -173?\nAnswer: 1495239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 944738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 19*u**2 - 19*u + 14. Let d be m(18). Let j = d + 6. Differentiate 3 - j + 3 - 5 - 14*i**4 wrt i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ifififffii.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/49*3\/(30\/76) and 1\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((((t*t**27)\/t)\/t)\/t)*((t\/(t*t**(-23)))\/t)\/t)**(-5\/2) assuming t is positive.\nAnswer: t**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*z + 35 = 0, 0 = -2*k + z - 3*z - 34. Let h be (2\/(-24))\/((-5)\/k). What is the closest to h in -3, 1\/7, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 + 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*k - 2050 + 13360. What is the greatest common divisor of 60 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137900219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/7)\/t)\/(t**(-9)*t))\/(t\/t**(-2\/13)*t*t)**18 assuming t is positive.\nAnswer: t**(-4542\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 39 - 3. Let y(k) = 1675*k**3 + 0*k - k - 15 - 1676*k**3 - l*k**2. Let g be y(-18). Solve -g*a = -2*o - 18, a + 4*a - 17 = -o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46054667.\nAnswer: 46054667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 1 (c) 161\/3265 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -3\/103 (d) -6 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**11)*a**(-19)*a*(((a*a\/(a**(-30)*a*a)*a)\/a*a)\/a)\/a*a*a**(-2\/41)\/a assuming a is positive.\nAnswer: a**(-2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0, 259, 3\/8, 4, 2, -49 in decreasing order.\nAnswer: 259, 4, 2, 3\/2, 3\/8, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 11. Sort -3, 2\/69, h, 4 in decreasing order.\nAnswer: 4, 2\/69, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/(-9))\/8*(-4)\/(-48)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -12, -c = 5*v - 5*c - 23. Suppose -2*g - v = 1. What is the tens digit of (g + -54)*(1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**2 + 2*d - 12. Let m(w) = -4*w + 10. Let p(g) = -2*g + 4. Let x(k) = -2*m(k) + 5*p(k). What is x(b(h))?\nAnswer: 40*h**2 - 4*h + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399 + -440 - (-27 + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17966468 and 208.\nAnswer: 71865872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 25. Let w = y - -18.076. Let o = w + -0.0759921. Round o to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, b: 14}. What is prob of picking 2 r and 1 b?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 86. Suppose 7*q = -b*q - 22. Is (q - 56\/(-26)) + (-6741)\/(-39) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 1.1. Let j = -0.21 + 0.61. Sort f, -0.9, j in increasing order.\nAnswer: -0.9, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f. Let g(a) be the first derivative of -a**5\/30 + a**2 + 34*a - 38. Let h(d) be the second derivative of g(d). Give h(j(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6285 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1184*o - 1582 wrt o.\nAnswer: 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**8\/10920 + y**7\/1820 - y**6\/780 + y**5\/780 - y**4\/24 - 2*y**2. Let p(h) be the second derivative of m(h). Factor p(s).\nAnswer: -2*(s - 1)**2*(4*s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3086 + 1544 + 1542 + 3757*z**2.\nAnswer: 3757*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147.9 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*t**3*y - 155*t**3 + 54*t**2*y**2 + t + 1 with respect to y.\nAnswer: 22*t**3 + 108*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-240) + -1 - -1*2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*s - 201 - 20*s**4 + 200 - 16*s**4 wrt s?\nAnswer: -432*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 143*a**3 + 13*a**2 - 20*a**2.\nAnswer: -143*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)*w*w)**(-12)*(w\/(w**(1\/2)\/w))\/((w\/((w\/(w\/w**(2\/9)*w))\/w))\/w)*((w*w**(-3))\/(w*w**(1\/3)))\/(w**(-3\/7)\/w**(-4)) assuming w is positive.\nAnswer: w**(-3497\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 + 25*n - 4. Let d = -8 - -20. Let q be z(d). Let u be q\/(-36) + 1\/(27\/(-75)). Let g(x) = -4*x - 3. What is g(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1496645382?\nAnswer: 1496645377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228 + 5*i**3 - 6*i - 197*i**2 + 405*i**2 - 208*i**2 - 99 wrt i.\nAnswer: 15*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*q + 4*q. Let l be 21\/(0 + -1 + q). Suppose -44*x + 262 + 662 = 0. What is the highest common divisor of l and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - a)*(-a + a + 2*a)*(-14 - 7*a + 14)*(-96 + 242 + 194).\nAnswer: -9520*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365782 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1959 = -s + n + 1945, -5*n = -3*s - 52 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 524753 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:34 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 17. Let i be 30\/12*(f + -1). Let t(a) = -a**2 - 61*a + 3. Let q(r) = -2*r**2 - 106*r + 7. Let b(j) = 4*q(j) - 7*t(j). What is b(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44933 - 44931. Factor -9\/7*o**4 - 3\/7*o**b + 3\/7*o**5 + 0*o + 9\/7*o**3 + 0.\nAnswer: 3*o**2*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2879409 divided by 6.\nAnswer: 959803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -8. Suppose 29*z - 2290 = f*z. Suppose 5*r + 158 - z = 0. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-30) + (-2)\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 - 5*k - 4. What is p(-6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.19 (c) -5 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - a**2 + a - a + 30. List the prime factors of v(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 4 = 5*u - 2*d, -4*u = -d - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-100))\/(28\/(-196)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 109*r**2. Let k(c) = -c. What is k(l(o))?\nAnswer: -109*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p - d = -74*p + d + 6, 0 = 49*p + 2*d - 239 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 3, g: 1, y: 5, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3*x**2 + s**3*x - 2695519*s**3 - 1102*s*x**2 + 1678*x**2 wrt x.\nAnswer: -2*s**3 - 2204*s + 3356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s - 17. Let m be v(7). Suppose 0 = 2*u - m*u + 14. Suppose 3*c + 112 = u*c. Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*a - 16, h + 12 - 2 = 3*a. Solve -a*z + 5*p = -27, 0 = 2*z - 0*z - 2*p - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 4*f**3 + 103.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - 9*h**3 - 1629*h**2\/7 + 108067*h\/7 + 337080\/7.\nAnswer: (h - 53)**2*(h + 3)*(h + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -151, 2, -4, -1 in decreasing order.\nAnswer: 17, 2, -1, -4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 25 = -5*z, -z - 4*x + 5 = -6*z. Let a be (2 + 0)*(-2 - -4). Suppose -n - 54 = -a*i, -z*i + 5 = -n - 36. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 444\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, k: 3, q: 5, y: 1, x: 2}. Give prob of sequence xqyk.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 17*s**2 - 15*s - 260. Determine n(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10626)\/1610*(-14*3\/9 - 2). Solve -s*k = -35*k - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -2.939249541?\nAnswer: 3.039249541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 14) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 487*543172\nAnswer: 264524764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkrkr. Give prob of sequence kr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -38940\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1 (b) -110 (c) 0.05 (d) -11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 7844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57052 is divided by 14099?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 3. Let r be y(-6). Suppose 178 + 47 = 5*b. Calculate the highest common divisor of r and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7949*h = -7962*h + 4136 + 1129. Which is greater: 407 or h?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let z(f) = 2*f. Let q(j) = -j**2 + 5*j. Suppose 5*w + 65 = 5*m - 5, -3*w = 15. Suppose 9*y = -m - 36. Give b*q(h) + y*z(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5007*o - 32 = -5015*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6413755*k**2. Let p(o) = 11*o. Determine p(a(b)).\nAnswer: -70551305*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.143, 2 in decreasing order.\nAnswer: 5, 2, 0.143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171) + sqrt(171))*6 - ((sqrt(171) + 1*sqrt(171) - sqrt(171))*-5 - sqrt(171)))\/(sqrt(54)\/(-4*(sqrt(6)*3 + sqrt(6) - sqrt(6)))).\nAnswer: -288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 888946.7 millimeters in centimeters?\nAnswer: 88894.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:23 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2464 and 107228?\nAnswer: 6004768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*n = 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -11\/2126 (c) -1491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24777660.4 + 537.\nAnswer: -24777123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - i - 73 = 0, 2*i + 4 = -2*i. Let a = 611 - w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v**2 - 320*v - 36. Give d(20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 7*i**2 + i + 9. Let a be o(-7). Let j be 4 - -2 - a - 2. Find the first derivative of -j - s**3 + 0*s**3 - s**3 wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127109*62\nAnswer: 7880758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/525 + (-567)\/(-2925).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 37*c = -6231. Let u = c + 201. Solve -16 = 4*i, -4*a + 2*a - 5*i - 30 = u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815564 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -198a?\nAnswer: -198d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.001.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 83352.52 kilometers?\nAnswer: 83352520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-4))\/((-7)\/(-28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 128016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85139503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196214*f**2 - 4 - 196215*f**2 + 4.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence booo when four letters picked without replacement from ovovooobvooooooo?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122.196 - 0.196. Let x = a + -135. What is the second biggest value in x, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.4566 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 5888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 1321 + 1691 = 290*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/o)**(-11\/6)\/(o**(7\/6)\/o*o**(3\/10)) assuming o is positive.\nAnswer: o**(479\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 39. Let p(j) = -j. Determine p(s(b)).\nAnswer: -3*b**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3690959, -7381913, -11072869, -14763827, -18454787, -22145749, -25836713?\nAnswer: -29527679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:00 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3476 + 3532. What is the remainder when 176 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -197.998492. What is z rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5 + -8.6. Let v = n - -3.0999982. What is v rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*d + 5*s, 4*s = -4*d + 5*s + 16. Suppose -d*g = -7 - 5. Solve g = -5*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-5)*49\/(5292\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 714, 2103, 4624, 8607, 14382?\nAnswer: 22279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.36, -0.0061, 3\/5, -526?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 10*y + 61. Let s be k(-14). Is (s\/2)\/((-9)\/(-774)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149.6 + 150. Which is the nearest to 0? (a) n (b) -0.3 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/((-2)\/3). Suppose v = f - 0. Let k(b) = 2*b**2 + 2*b**2 - 6*b**f. Let q(z) = 2*z**2. Give k(q(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9425, -18852, -28279, -37706, -47133, -56560?\n\"Answer: -9427*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36737886, -73475774, -110213676, -146951598, -183689546?\nAnswer: -220427526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.214 - -271.214. Let l = 270.999863 - d. What is l rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 + 362*y + 1469. Give n(-4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-74) + 1 - ((-1 - -48) + 4561100\/(-99271))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69134\/9 or 1\/6?\nAnswer: 69134\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/2 - 2*j + 145. Let c(l) = 4*l. Give c(f(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 1:10 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 17622*m**2 + m + 3312*m**2 - 5 + 4.\nAnswer: 20934*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -6 - 0) + 7 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 11 = -184. Let g = i + -14. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 j when four letters picked without replacement from {a: 1, j: 8, q: 2, l: 3, h: 2, u: 1}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 14 = 4*w + 4, 26 = 3*s + 4*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in 3, -2\/5, 5, -43\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksskkkskkkkskkkkkkk. Give prob of picking 1 k and 3 s.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.978 + 0.022. Let f be (-7)\/(-4) + (-4)\/6*(-6 + 9). What is the nearest to 0.1 in 0.2, f, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j + 5. Let b = -228 - -226. Let w be p(b). Solve w*r + 2 = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -438546, 2.\nAnswer: -438546, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -57. What is the greatest common factor of n and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -34*f**3 + 5*f**2 + f + 2. Let w be t(-1). Suppose -j = -9*j + w. Solve -4*a = -j*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlllllllllwwllllwllw. Give prob of picking 2 l and 1 w.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287 - 294 - 1490*v**3 + 581 + 1450*v**3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 714, 2427, 5776, 11307, 19566, 31099, 46452?\n\"Answer: 91*o**3 - o**2 - 11*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*y + 61. Solve q = r + y, 0 = -2*r + 4*q - 10 - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**5\/20 - 7*f**4\/8 - 19*f**3\/4 - 19*f**2\/2 - 8*f - 1738. Factor p(k).\nAnswer: -(k + 1)**2*(k + 4)*(k + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + (-4)\/12. Sort s, 1, -0.3 in decreasing order.\nAnswer: 1, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4756020 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 28 = -16. Calculate the remainder when (464\/64)\/((6\/(-3))\/(-56)) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5 - 279*b**4 + 3*b**3 + 279*b**2 = 0.\nAnswer: -93, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 0.3 (c) -9 (d) -4\/5 (e) -3\/4 (f) -10.1 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20082.\nAnswer: 2, 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627557 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.1 + -8.1. Let b = 248 - 249. What is the closest to b in 0.1, 4\/7, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 2334*d.\nAnswer: 2*d*(d + 1167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.235 - 0.1. Round g to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 2*f. Suppose j + 2*q - 9 = f, 5*j = 2*q - 3 - 0. What is the units digit of 73*(0 + j)*(0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -25*w**3 - 289*w**2 - 291*w - 16. Give q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 5*v - 10, v - 2 = -3*h. Let z = 109 - 111. Which is the third smallest value? (a) h (b) -5\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/3)\/(6\/(-4)*(-28)\/(-21)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1151\/10 - -1 - 14\/140. Let c be (-2)\/(-8) - (-318)\/8. Suppose 6*g - c = k. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 30. Let u = x + -10. Let l = 3 - u. Solve 2*f + g - 1 = l, f - g - 6 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.8 - 14.9. What is the biggest value in 0, o, -0.4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362427162 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.673\nAnswer: -0.1346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -625884800 rounded to the nearest 1000000?\nAnswer: -626000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-15))\/((2\/18)\/((-3)\/(-27))).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 204160?\nAnswer: 3879040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/31638, 3, 0.1 in ascending order.\nAnswer: 19\/31638, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 335011 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131.9183 - -132. Let g = -0.0517 + d. Put 10, g, 3 in decreasing order.\nAnswer: 10, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-108)\/(-90))\/((-3)\/(-1010)).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.64 (b) -2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13526334 less than -13526309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -247 and -201 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/90 - (-33)\/15. Solve 0 = p*k + 7 + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - 5*j**2\/2 + 2*j + 9. Suppose -28 = 67*g - 81*g. What is t(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 22*g + 13. Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 116. Let f = x - 22. Solve -4*w = -2*m + 16, 2*m + 10 = -4*w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 4, s: 2, g: 1}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -3 - (2 + -1)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-52))\/(18\/(-4)*41\/82)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/9)*g**4*(g*g*g*(g**(-1\/2)\/g)\/g)**(-1\/50) assuming g is positive.\nAnswer: g**(3191\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 19*i - 5*k + 1683, -6714 = -4*i - 2*k. Is i < 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 0.1 (c) -0.1 (d) -6\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.83503 rounded to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 3821, -6 in ascending order.\nAnswer: -6, 1, 6, 3821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -49\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l**3 + 7*l**2 + 57*l + 261. Give a(-5).\nAnswer: 1901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.583 + -28.153. Let q = k + -0.43. Let d = q - -26.9. Round d to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/287672 and -35\/64.\nAnswer: 2301376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 48*f**2 - 25*f - 1. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187239067*g**2*o - 11577*g - 151*o wrt g.\nAnswer: 374478134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + f**3 + f**3 + 4*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4059 and 36554?\nAnswer: -148372686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1331) - sqrt(1331)*-2 - sqrt(1331))**2*2*1*5 + -3.\nAnswer: 53237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4, 5, 7\/25, 0.4 in descending order.\nAnswer: 5, 3\/4, 0.4, 7\/25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84827 * 1.\nAnswer: 84827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 19 + 29 + -10 + -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4248.1 rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 1:27 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/3 + 35*v**4\/3 + 173*v**3 + 2065*v**2\/3 + 2350*v\/3 = 0.\nAnswer: -5, -2, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3 + u + 3)*(3 - 5 + 1)*(-1 + 1 + 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:25 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 12 + 2*h**3 - 15 - 10*h**3 + 66*h**3 + 1 to the form o*h + q*h**4 + p*h**2 + l*h**3 + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bcc4 - 8?\nAnswer: bcba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*f + 6, 0*x + 6 = 4*f + 5*x. Suppose 2*s = 3*q + 20, -3*s - 3*q + q + f = 0. Solve -4*j - 4 = -2*j + w, s*j - w = -14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2703 = -3475*n + 17467 + 31634 - 3154 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:11 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2553 take away 3?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112232151 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4142 and -0.2.\nAnswer: -828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(136) - (sqrt(136) - ((sqrt(136)*1 - sqrt(136)) + sqrt(136)))))\/(sqrt(80)\/(sqrt(10)*1))*1*5)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1489800 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - q - 7 = 0, -4*q = 6*w - w + 21. Let f = 114589537\/566874 + -1\/80982. Let b = f + -203. Is w equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.4522\nAnswer: -1.3566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - 23. Let f = k + 43. Let a(l) = 12*l**2 + 5*l - 24. Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 + u**5\/10 - 7*u**4\/24 + 5*u**3\/6 - 20*u**2. Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2282603*y**4*z**2 + 2*y**4 - 3*y**3*z + 44*y**2*z + 9*y**2 - 2*z**2 - 166*z wrt y?\nAnswer: -54782472*y*z**2 + 48*y - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1476280 divided by -4\nAnswer: -369070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13692780 divided by 76071\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2650\/550 - (-2 - -7). Which is smaller: -50 or g?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -123*n**2 + 13*n + 276. Let v(x) = -31*x**2 + 3*x + 69. Let k(y) = -2*b(y) + 9*v(y). What is the second derivative of k(q) wrt q?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)*(-58)\/(-4). Let t = 29 + b. Solve t = -5*c - 3 - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -640 and -639 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000185919 rounded to 6 dps?\nAnswer: 0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2665 (base 9) to base 12\nAnswer: -11ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2 - 9756308*u - 11898193223858 = 0.\nAnswer: -2439077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*b - 78 = -65, 11 = -k + 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -9*(-5 - 5). Suppose -2*n + y = -55. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 4 + sqrt(833) + (sqrt(833)*1)**2 + sqrt(833))*-5*6.\nAnswer: -25110 - 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 173. Suppose -2*u - 28 = -v*u. What is the smallest common multiple of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 62*p**4 + 134*p**3 - 62*p**2 - 132*p = 0. Calculate p.\nAnswer: -2, -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88006169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 30 + -34 - -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 7. Let t be w(-3). Suppose -3*d - d + t = 0. Suppose 5*m - 2*m = 3*g + 33, 4*g - 40 = -d*m. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + w. Let v(y) = y**3 - 2*y**2 - 3*y + 2. Suppose 5*a = -3*n + 11, -n + 2*a + 1 = a. Give n*r(b) - v(b).\nAnswer: -3*b**3 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36890423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -341, -340, -339, -338?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13d + 85b?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1156506*p**5 + 501*p**3 + 21*p**2 + 7*p + 785619?\nAnswer: -69390360*p**2 + 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/65200 and -131\/1040?\nAnswer: 847600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/9 - 7880*x**3\/9 + 174328*x**2\/9.\nAnswer: -2*x**2*(x - 22)*(x + 3962)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/17 - 88*z**4\/17 + 876*z**3\/17 + 2024*z**2\/17 + 1058*z\/17.\nAnswer: 2*z*(z - 23)**2*(z + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 + -2875\/13. Which is smaller: -42 or u?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -37. What is the smallest common multiple of 4\/(0 - -2) + 0 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*d = 17 - 56, -2*t = -4*d for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 + 2*w**2 + 6*w + 3. Let z(g) = -14*g**3 + 5*g**2 + 17*g + 8. What is -8*p(q) + 3*z(q)?\nAnswer: -2*q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) -65\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26499 = 20*q - 29221. Suppose -5*c = 3*r + 3012, 1720 = -2*r - 3*c - 289. Let o = r + q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/466 and -49\/74.\nAnswer: 17242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(833)*2*6.\nAnswer: -84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 11*g - 76*g + 14*g + 16*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 14 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80671768?\nAnswer: 2, 61, 165311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -336955.\nAnswer: -336951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 6*w + 3*w. Let n(r) = 13 - r**2 - 13 + 3*r**2. Give n(l(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086908 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -125.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 17*a**3\/6 + a**2 - 4*a - 98. Let t(o) = -11*o. Determine t(y(z)).\nAnswer: -187*z - 22","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/6)\/h)\/h)**(-20))**(10\/3)*(h*h**(-2))**(-6\/25)\/((h**7\/h)\/h*h*h*h**(-1\/8)) assuming h is positive.\nAnswer: h**(248057\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -411 or 0?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 70 = -2*s, s + 0*o + 36 = 2*o. Let c = 39 + s. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 288. Let t = 31 + -14. Calculate the remainder when (v - -2)*(-12)\/(-24) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 6*g - 7. Let j(z) = z**2. Let c(r) = 2*r**2 + r + 1. Let u(m) = c(m) - j(m). Let d(h) = -i(h) - 3*u(h). Give d(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 38*g\/3 - 140\/3.\nAnswer: -2*(g + 5)*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 13*h - 1143. What are the prime factors of h?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39863978*b**3*f**3 - 11020*b**2*f + 29*b*f**3 + 13*f wrt b.\nAnswer: -239183868*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 519379500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -1. Let v be 26\/10 - s\/10. Let k = -1725 - -1735. Solve v*j + k = 2*a - 4, 2*j = -5*a - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 2*h**5 + 22024*h**4 - 9*h**2 + 3*h + 16939 wrt h?\nAnswer: 120*h**3 - 120*h**2 + 528576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)\/r**(-6))**(3\/11)*((r*r\/(r*r**(-2\/5)\/r))\/(r**(-5)\/r))\/(r**2*r*r\/r**(1\/6)) assuming r is positive.\nAnswer: r**(14149\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21942272 and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2592 and 756?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 110.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by 3?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*o**4 - o**2 - 246*o wrt o.\nAnswer: -1044*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from {k: 6, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2295, 1351, 407, -537?\n\"Answer: -944*j + 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 24*o + 6. Calculate the remainder when c(5) is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 112\/10) + 567216\/43632.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - -33?\nAnswer: 32.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d - 9 - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 683*b**8\/336 + 323*b**5\/60 + 408*b**2. What is the third derivative of r(d) wrt d?\nAnswer: 40980*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -25. Let b = -9.8 + j. Let u = 0.5 - b. What is the biggest value in u, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*g + 5*g - 15*g)*(-g + 0*g + 0 - 1).\nAnswer: 6*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*f - 26*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1165268 and 91.\nAnswer: 8156876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1310, -2, 0, 5.\nAnswer: -2, 0, 2, 5, 1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*f + 3*f - 42, -f + 2*x + 12 = 0. Suppose 3*k = -k + f. Suppose 0*d - k*d = -4. Solve -2*n = j + d*n + 4, 0 = 5*j + 3*n + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 758718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 2\/9, -61.\nAnswer: -61, 2\/9, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let f(o) = -o**2 + 358. Determine s(f(k)).\nAnswer: -k**4 + 716*k**2 - 128164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + 29 = -79 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 693305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072799291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19118164?\nAnswer: 2, 13, 109, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75 + 6*r - 28*r + 75*r**2 + 17*r + 5*r**3.\nAnswer: 5*(r - 1)*(r + 1)*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21. What is the third smallest value in -1\/2, l, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 126. Suppose -3*q - 258 = 2*j, 0 = -3*j + c*q - 31 - 322. Let a = -120 - j. Solve 2*s + a*s = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 3*o - 2*o - 1 + (-o + o + 3*o)*(-8 - 30 - 6) - 3 + 4*o + 3.\nAnswer: -124*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4681 + 4681 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*z**3 + 236584*z**2 - 18*z + 335318659 with respect to z.\nAnswer: 12*z**2 + 473168*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n)\/(n*n*n**(4\/3)*n))**(-1\/4)\/(n**(2\/9)\/(n\/n**(-2\/27)))**(6\/17) assuming n is positive.\nAnswer: n**(541\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-3528)*-49)\/((-1)\/19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 838 - 519. List the prime factors of p.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446 - 447 - 447 - 8*o**2 + 1340.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y + 3. Let f(o) = -3*o**2 + o - 2. Let k(j) = 3*f(j) + 2*g(j). Calculate k(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1641, 1648, 1665, 1698, 1753, 1836, 1953, 2110?\n\"Answer: d**3 - d**2 + 3*d + 1638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1. Let k(o) = -o - 6. Let z(y) = k(y) - 5*s(y). Let c(l) = 17*l + 6. Let v(j) = -c(j) - 6*z(j). Let n(i) = -2*i. Determine n(v(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - ((-9)\/882)\/((-1)\/102). Let v = n + 57\/196. Factor -g - v - 5\/4*g**2 - 1\/2*g**3.\nAnswer: -(g + 1)**2*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 174*g**2 + 2*g + 1. Let o(u) = -2*u**2 - u - 1. Calculate o(i) + r(i).\nAnswer: 172*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1666 and -101\/12682?\nAnswer: 621418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-351.144.\nAnswer: 1404.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltftiifiy. Give prob of picking 2 t, 1 f, and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 9018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*5*(-10)\/(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124775 and 255967.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -0.15.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(0 + (3 - 2)). Let r(o) = -17*o + z*o**2 - o**2 + 5 - 3. Let d be r(-17). Solve -2*h = -2*q - 4, -d*q + 25 = 3*q + 2*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*v + 8*v + v)*(2*v - 4*v + 4*v + (39*v + 24*v + 5*v)*(5 - 4 - 3)) to the form l + u*v**2 + n*v and give u.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 + 15 = 4*y, 3 = 2*k - 3*y. Let r(q) be the first derivative of k*q**3 + 83 - 54 + 2*q**3. Let a(m) = 2*m. Calculate r(a(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -6*b - 2, -286 + 102 = 174*b + 5*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 252, 270, 314, 396, 528, 722, 990, 1344?\n\"Answer: 2*y**3 + y**2 + y + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d**2 - 22*d + 8. Let z be h(24). Round z to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let b(o) be the third derivative of -o**6\/48 + o**4\/6 + 3*o**2. Let h(z) be the second derivative of b(z). Determine h(w(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -3.5, -8.\nAnswer: -8, -4, -3.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(90\/4) + (-62)\/80. Let y = -4 - -8. What is the smallest value in 0.2, 5\/4, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -839928*a**3 - 860412.\nAnswer: -2519784*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -27) + -9 + -8 + 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -2 (c) 2\/15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + 3*u**5 + u**5 + (3*u + 0*u + u)*((-4*u**3 + 2*u**3 + 3*u**3)*(0*u + u - 3*u) - 2 + u**4 + 2).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*3600\/(-108)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21111210 (base 3) in base 9?\nAnswer: 7453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330418.305us in weeks?\nAnswer: 0.0000005463265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140078 (base 11) in base 4?\nAnswer: 311220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*c - b + 10504, 4*b = -c - 5246. What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 9*f - f**2 - 13*f.\nAnswer: -f**2 - 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 2. Suppose 6*s = 3*s. Suppose -5*z - y + 15 = s, 0 = -5*z - 2*y - 0*y + 10. Calculate the least common multiple of 16 and j(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -198\/131? (a) -17.6 (b) 14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*d - 5, 0 = p - 0 - 1. Suppose 15 = d*z + 47. What is the remainder when (164\/(-6))\/(z\/24) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/30 and 59\/2526.\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 62 = 2*w, -5*n = -3*w + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**2 + 4074*w + 94619.\nAnswer: -2*w + 4074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4688*o - 8833. What are the prime factors of n(13)?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*k + 17364, -52102 = -3*d + 68*k - 73*k. Calculate the highest common divisor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*x, 6*v + 2*x - 6 = 2*v. Suppose -b + 1 = v. Is b at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.138163kg?\nAnswer: 1138163000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:23 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, 0.4, 1\/5, -1\/503, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -4*i**3\/3 + 4*i**2 + 3. Factor b(s).\nAnswer: -4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*r + 346 - 346)*(-5*r + 9 - 9 + (3 - 3 + 2*r)*(1 + 1 - 3) - 2*r + 2*r - r + (-1 - 1 + 0)*(-2*r + 2*r + 2*r)) in the form h*r + i + s*r**2 and give s.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/18*16*147\/28. Solve 0 = -5*f + 2*x + 18, 3*x - 2*x = 5*f - q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 4*y + 9603 - 9606 + (0 + 1 + 2)*(-26 - 7*y + 26) to the form w + o*y and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3735 divided by 2.\nAnswer: 3735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13428679 equal to -13428680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 438346 = 1867231 + 2131477. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 14340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 1 - 4 + 5.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 14*w + 4. Let g be f(-14). Suppose -g*s + 0*s + 12 = 0. Solve 0 + s = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.15 (b) -1 (c) -1266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345869?\nAnswer: 3, 7, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -125. Let q be 1 - -17 - (1 - 3). Suppose n = 3*u - q. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -940*n**2 + 2*n**3 + 900*n**2 + 2*n**3 + (-2 + 1 - 2)*(0*n + 0*n + n**3) to the form p*n**3 + z*n**2 + u + w*n and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*a + 468*a + 163*a = -61370 + 18598 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = 1. Let i(j) = j - j**2 - 4*j - 5 + a. Let x(y) = -y**2 - 2*y - 2. Suppose 0 = -s + o - 2, -o = 3*s - 1 - 9. Calculate s*i(w) - 3*x(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 5, z: 1, e: 5, q: 2, t: 2}. What is prob of sequence mz?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 99, -201, -511, -831, -1161, -1501, -1851?\n\"Answer: -5*o**2 - 285*o + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7698443.18\nAnswer: -7698446.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + 12 + (538 - 542)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let m be p(-3). Let s be 21\/m*(-70)\/(-15). Let r = s - -71. Calculate the lowest common multiple of 4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26511.\nAnswer: 3, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 4*s)*(0*s**2 - 4*s**2 + 2*s**2) + (1 + 2 - 2)*(s**2 + 0*s**2 + s**2)*(-1 + 2*s + 1).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 839070148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*a**3\/7 + 16366*a**2 + 65337376*a\/7 - 233358 = 0. What is a?\nAnswer: -437, 1\/40, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.4, -0.1, 3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00487 + -0.0034. Round v to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149027 - -149098.979. Let p = y - -0.021. Let i = 75.7 - p. What is i rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007213062 to seven dps.\nAnswer: -0.0000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21100 (base 3) in base 13?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 w, and 1 m when four letters picked without replacement from vmeoovvmwvoovmvommo?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*a + 53216 = -a, -5*y - 5*a + 88710 = 0. Suppose -5*d = y + 328688. Let z = d - -213285. What is z rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 401 = 4*z, -256 = 5*n + 5*z - 931. Suppose 0 = -95*y + 104*y - 369. Suppose n = 5*a - y. What is the remainder when 105 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -646.8 - 78.2. Let a = 721.63 + v. Round a to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1358, -5415, -12160, -21587, -33690, -48463?\nAnswer: -65900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8204, 7936, 7476, 6818, 5956, 4884, 3596?\n\"Answer: -x**3 - 90*x**2 + 9*x + 8286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 56*u + 255. Let q be c(-5). Let s(d) be the second derivative of -d**3\/6 + d**2\/2 - 4*d. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1886.08711 + 1887.5. Round i to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = -r - 9, 3*r - 2*j - 11 = 0. Suppose -5*p + 1 = -i - r, 0 = -i - 2*p - 2. Which is the third smallest value? (a) i (b) 4 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3253 + 3253.2. What is the nearest to -4\/3 in -4, 1, r, -28?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 906 - -4?\nAnswer: 90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/((-8)\/72). Suppose 5*x = h*x. Suppose -4*g = -8 - 8, 0 = t + 2*g - 9. What is the nearest to t in 0.1, 1\/9, x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 304\/(-22) - 4\/22. Let o(z) = -z**3 - 16*z**2 - 28*z - 2. Let j be o(a). Let t(n) = -7*n + 2. Let l(m) = m - 1. Give j*l(k) - t(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/60 - 7*y**4\/24 + y**3 + y**2. Let v = -504 + 508. Let a be s(v). Which is smaller: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18 - t - 20 + 0*t. Let x be n(-6). Let g(w) = 0 + w**3 + 3*w**2 - 1 - x*w**2. Let s(q) = q**2 + 1. Calculate g(y) + s(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 13981117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21809 + 22511 = 26*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 79450012.\nAnswer: 397250060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12323 divided by -7.\nAnswer: 12323\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430752471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/5, 71, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 204309402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57129344 divided by 2\nAnswer: 28564672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0081 and -2.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3405 + 0.1405. Let z be 2 - ((-50)\/4)\/(-5). Which is the third smallest value? (a) z (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**3 + 5*a**2 - 72*a + 127. What is m(2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 7*k - 7. Let g be y(8). Let w = g + -62. Let b be (-51)\/55 - (w - (-32)\/(-10)). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**6\/60 + p**5\/20 + 3*p**2\/2 + 1. Let o(w) be the second derivative of q(w). Find the third derivative of o(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/56)\/(85\/(-136)))\/(32\/(-5))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -5 - (65 + -67)) + 0 + 8. Let m(c) = 2*c**2 - 3*c - 7. Let y(u) = u + 10*u**2 - 4 - 3*u - 9*u**2. Give t*m(f) - 7*y(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 2:16 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(114) - (sqrt(114) - (-4*sqrt(114) + sqrt(114)))) + sqrt(114) + sqrt(114)) + sqrt(114))\/sqrt(6).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 25 - 18*i**2 + 35 - 22*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88753434 divided by 651.\nAnswer: -136334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13910770 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3654 + 3654 - 4*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 1071 - 1071 + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-259)\/(-35) + (-2)\/5. Suppose 5 = t*z - 296. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258 a factor of 2269835480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 9. Let l be 1 + 10*r\/2. Let k = -190 - -192. What is the highest common divisor of l and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*i - 4*m - 16 = 0, -74573*i + 20 = -74571*i - 5*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.28121+5036\nAnswer: 5035.71879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636.136 kilometers in nanometers?\nAnswer: 1636136000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j + 2*x + 3*x, 2*j - 4*x - 14 = 0. Let s = 7 - j. Solve 4*g - 3*y - 12 = 0, s*y + 8 = g - 0*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6780, 13565, 20358, 27165, 33992, 40845, 47730, 54653?\n\"Answer: h**3 - 2*h**2 + 6784*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -59, -82, -99?\n\"Answer: 3*g**2 - 38*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*(-5304)\/23205*392\/24?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 146.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10*i + 80 = 0. Let b(x) = -x**2 - 6*x - 6. Let a be b(-4). Suppose -a*o = 2*o - 32. Calculate the highest common factor of o and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 2*m**2 - 16*m + 168. Let w = 179 + -122. Calculate the remainder when r(0) is divided by w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388553*s - 388511*s + 462 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.401 - -1.801. Sort w, -25, -0.1, 4 in decreasing order.\nAnswer: 4, -0.1, w, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5060\/7216 - (-12)\/246?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) - (-4 + sqrt(1700) + 0 + sqrt(1700))**2 - sqrt(1700)).\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 409740 (base 12) to base 16\nAnswer: f70e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 2*p + 3. Let m be g(3). Let c(u) = 6*u**2 + 0*u**3 - u**3 + 6*u + 6 + m*u**2. Let w be c(7). Is w less than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - (-18 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22758797?\nAnswer: 22758797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84 - 12) + (2 - (33 + -55)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:37 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 55255.23864 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -730 - -10217\/14. Let n(o) = o**3 - 17*o**2 - 17*o - 17. Let t be n(18). Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45065, 44056, 43047, 42038?\nAnswer: 41029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/(-78))\/16*32\/15.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 452597652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -25.99. Which is the smallest value? (a) s (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3 + 39444*i**2 - 8686417*i - 8725860 = 0.\nAnswer: -39663, -1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126588 and 462?\nAnswer: 126588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43077 divided by 173\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:02 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 5. Let x(u) = -1. Let q(g) = 2*w(g) + 11*x(g). Let d be q(1). Let k be 26 - 0 - (-2 + d). What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06866181871 rounded to 3 dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1197\/(-351))\/19*60 - -11.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59484, 118994, 178544, 238158, 297860?\n\"Answer: 4*g**3 - 4*g**2 + 59494*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.5275856 milliseconds to days.\nAnswer: 0.0000001912915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m + 1, 2*m + 7959 = 5*z. Suppose -4868 = -3*n + z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2072 = 165*j + 49*j + 6488 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 1, t: 2, e: 3, s: 1}. Give prob of picking 1 s and 3 e.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2556 is divided by 2429.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 107. Solve -5*l + u = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 265, 546, 841, 1156, 1497, 1870?\n\"Answer: u**3 + u**2 + 271*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 2)*(-628983)\/(-306).\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5794722 and -107\/102.\nAnswer: 5794722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let j(m) = -2*m**2 - 3*m + 4. Let h(s) = 6*i(s) - j(s). Let g(n) = 3*n**2 - 5*n - 6. Give -5*g(r) + 8*h(r).\nAnswer: r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-3*1\/(-3)). Let k(d) = -21*d - 16. List the prime factors of k(u).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16378*n - 16406*n + n**3 + 32784*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 286124304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*l = -90, 4*t - 80 + 8 = l. Solve 3*p + 6 = x + t, -p = -2*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4136 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126319 - -514778. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1800)\/(-2160) - 69482\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1 + 3922\/848?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/4 - 1)*2. Let a be (d - -1)*(-9 - -6). Suppose -7*z + a*z = -112. Calculate the remainder when 83 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 25, -4*s + 26846 - 6184 = -2*w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/3)\/(-7)*-6. Solve 0 = a*s + 2*x + 4 + 6, -25 = 5*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 + 0.031. Which is the third smallest value? (a) -5\/4 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -57. Let l = v + 15. Solve 2*o + 10 = -2*d, 0 = 4*o + d + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07115334 rounded to 4 dps?\nAnswer: -0.0712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -230, -869, -1934, -3425?\n\"Answer: -213*s**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-78)\/13*(2 + (-209)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 9, b: 1, n: 2, f: 3}. Give prob of picking 2 a and 2 f.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -10 - 10. Sort 1, 0, x, -5.\nAnswer: -5, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -1\/2?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21351 - 8859. Is 36 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -20, -m + h - 6*h = -27. Solve -k = 2, -6 = -i + m*i + 2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -32. Let k = -18.0393 - -0.0393. Let z = k - p. Is -1 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3) + 2 - 3. Suppose i = -3*w + 5 + 4. Let g(k) = k - 2. Let q be g(5). Solve -w = q*d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13256\/45 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -140*r**2 - 18*r - 6. Let l(q) = 303*q**2 + 39*q + 13. Let t(p) = -6*l(p) - 13*o(p). Let j(v) = -1 - 5*v + 1. Give t(j(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/42, -1.5, -41187?\nAnswer: -41187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(432) + -3 + sqrt(432) + sqrt(3))**2 + (0 + sqrt(3))*5 + (3 + sqrt(48) + 1 + 2)**2.\nAnswer: -97*sqrt(3) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -335551\nAnswer: -4\/335551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let q(g) = -g**3 + 2*g + 7. Determine -14*j(n) + 2*q(n).\nAnswer: -2*n**3 + 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k + 4158 = -136*k - 70*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 2*q + 4 + 4*q - q - 3*q. Let o(m) = m + 10. Let w be o(-7). Suppose -5*l - 6 = -w*l. Determine b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 8*j - 5*a = 70, 0 = a. What is the least common multiple of 70 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*4*12\/(-64).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (4\/(-3))\/(8\/(-36)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 42. Calculate the remainder when 214 is divided by a(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132545319 to the power of 1\/2, to the nearest integer?\nAnswer: 11513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3638\/91 = -1695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*v + 5 - 13, 0 = -v - 3*n - 2. Let u(b) = 2 + 3*b + 2 - 8 - v*b. Give u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4382 and 2857690.\nAnswer: 20003830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 2. Let u(w) be the first derivative of 2*w**2 - 3*w - 22. Let d(r) = 3*h(r) - 2*u(r). Let n(m) = -m - 3. Calculate d(n(o)).\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1206?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 220. Suppose -2*o + o + 5*w + t = 0, 265 = 3*o + 5*w. Suppose -o = -d - 4*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740932 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from nwwwinewunuwy.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 - 0) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -986*l**2*w**2*z**2 + 11*l**2*w*z**3 + 3*l**2*w + l*w**2*z**3 - 46*z**3 wrt z.\nAnswer: 66*l**2*w + 6*l*w**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-24)*3000\/36. Is -124 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11))**(-1\/24)*(n*n**(-18))\/(n\/((n**(4\/5)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(-12017\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76236706.\nAnswer: 2, 7, 13, 418883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1450 + 2?\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 18*a - 4. Let q be -1 - (-6)\/2 - a. Suppose 9 - 25 = -q*u. Solve -u*h = 8 - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 - 1\/(-3)*6\/(-1) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2 - 2)*(3 + l - 3 - 5*l + 24 - 56 + 33 + (-3 + 15 - 4)*((0 + 0 + 2*l)*(1 - 4 + 2) - 2*l + 3 - 3)).\nAnswer: -36*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1541 and -8.30725.\nAnswer: 1532.69275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*k + 9 = 0, -5*k + 2 = 7. Let v be 17\/(-119) - 1\/t. Factor -64\/9*x**2 + 18*x**4 - 8\/9*x + v - 10*x**3.\nAnswer: 2*x*(x - 1)*(9*x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38662 divided by -355.\nAnswer: 38662\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 89*k**2 + 410*k - 868. Determine o(-84).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 + 473. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -120. Put -2, -0.8, 1, v in increasing order.\nAnswer: -2, v, -0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -53b0?\nAnswer: -53a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*l + 329 = -783, s = 4*l + 260. What is the remainder when s is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2915 = -9*v + 2852 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/(-850))\/(6\/(-15)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.8 - -47. Let h be -12*(-2)\/3 + 1. Let b be ((-18)\/20)\/h*-3. What is the third biggest value in t, b, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 + 0)*(l**3 + 11 - 13 + 8*l**3) in the form i*l + b*l**3 + g + z*l**2 and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231990 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 + 4*c - 2*c - 7*c**2 + 9*c**2 - c**2 - 15*c**4 to the form d*c + q + f*c**4 + x*c**3 + s*c**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*h**5 - 82863*h**4 + 112644*h**3 + 99568*h**2 + 23936*h + 1840 = 0. What is h?\nAnswer: -115, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 183?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 j when four letters picked without replacement from {j: 16, m: 4}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 2*b + 1. Let j be (-6)\/9 - 4\/(-6). Let f be y(j). Solve 0 = 5*v + 26 - f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 81.51. Let q = x - -0.01. Which is the closest to -1? (a) 0.01 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**2 + 19*y**2 - 6*y**4 + (-2*y + y + 0*y)*(-2*y**3 + 2 - 2) to the form w*y**4 + b*y + m*y**3 + d + l*y**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-32))\/((35\/180)\/7). Let y = 8 - 4. Solve -2*u = -3*s - b, -y*s - 5 = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -l - f - 29, 5*f = -2*l - 61. Let h = l - -48. What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Suppose 22*p - 37*p = -195. What is the least common multiple of p and ((2 - -1) + b)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887*f - 363*f - 730*f + 25*f**2 - 1186*f.\nAnswer: 25*f**2 - 4166*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*l + 20, -3 = -4*p + 5. Let r = 12.5 - 12.6. Which is the third biggest value? (a) l (b) r (c) 1\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 95, 116, 145?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.94 + 0.06. Let c(y) be the third derivative of -y**6\/120 + 3*y**4\/8 - y**3\/2 + 59*y**2. Let a be c(-3). Sort g, a, 0.1, -0.6.\nAnswer: a, -0.6, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 27. Let g be o(26). Let n = 0 + 37. Let p = -35 + n. Put g, p, -0.2, 1\/3 in decreasing order.\nAnswer: p, 1\/3, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 31*r**2 - 216*r - 160. Let x be d(37). Solve 215 = -x*o + 29 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -46, -89, -168, -295, -482, -741, -1084?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 78*n - 84. Calculate w(-38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/6 - a**3\/3 + 3*a**2 + 10*a. What is the tens digit of c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + -0.008. Let y = -0.155 + w. What is y rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(12\/16))\/((-20)\/(-35)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015517?\nAnswer: 1015517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q. What is o(7)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*f = -4, 4*f + 1 = -q - f. Let y be -2 - (-1)\/(q\/(-15)). What is the highest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 99 - 22 = 0. Is 7 a factor of ((-8)\/(-44) - 0) + (-12922)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 224. Suppose 3*u + 0*u - 90 = 0. Let j = u - q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (414\/(-184))\/(15\/2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 5, z: 2}. What is prob of sequence zszg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 + 2*d + 36. Calculate the remainder when 245 is divided by f(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/192*4 - 4\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183657 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67080 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose 5*w + y*m = 40, 0 = 3*w - 0*w - 2*m - 9. Suppose -4*b + 16 = -w*h, -2*b + 7 = h - 1. Which is smaller: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 13*f - 13. Let r be c(-4). Suppose -r*k = -14*k + 18. Let u(i) = 7*i**3 + 4*i**2 + 4*i + 3. Determine u(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-4)*30\/270 + 5952\/(-8960)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 14*p + 300 = -78. Sort 5, 2, -1, -4, p.\nAnswer: p, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 835 + 95 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 12*t + 77 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25511463, -25511514, -25511565, -25511616?\nAnswer: -25511667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 58, -49, -11\/26?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:30 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 39 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -1\/12*f**5 + 0*f**3 - 8*f**2 + 0 + 0*f + 0*f**4. Let a(h) = -4*h**2. Determine a(b(d)).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m - 2. Let j be k(0). What is the closest to -2 in 4, j, 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -116. Let o be (14\/315)\/(u\/(-20)). What is the nearest to 1 in -1, o, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = 25. Suppose -2*g = a - u, 7*g - 3*g - 11 = -a. Let s be -2 - (-8 + (-4)\/2). Solve -6*y - s = -5*y - 3*o, g*y - o + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5634 divided by 1878.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 (base 8) in base 13?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*-49.051\nAnswer: -245.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(104) - (sqrt(104) + sqrt(104)*1)))\/(2*sqrt(4)*6))\/(sqrt(2) - sqrt(4)\/sqrt(50) - (sqrt(242) - (sqrt(242)*5 - sqrt(242)))).\nAnswer: -5*sqrt(13)\/507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -33. Let q = -22 + o. Let z = q - -41.8. Is z bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53412390 divided by 90?\nAnswer: -593471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 2*w**2 + 3*w - 6. Determine l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1834 + -1833.98936. Round b to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/27)\/((-1)\/(-15)). Let c = m - -15. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 94. Put j, -2, 3, 0 in increasing order.\nAnswer: -2, 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 208964.773 from -18.1.\nAnswer: -208982.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-14) - 380\/(-28). Let m = 33 - y. Suppose -t - m = -63. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/30 + l**4\/6 + l**3\/3 + l**2\/3 + 4*l - 24. Let w(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381834?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - s + s + 2*s. Let o(r) = -2*r**2. Determine b(o(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -17*h + 29988. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5 - 1) + 3)\/((-6)\/4). Suppose -j = -v*o + 6*o - 690, 2718 = 4*j - 5*o. What are the prime factors of j?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 21000111?\nAnswer: -21000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/23, 0, -10.1?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 6*a**2\/5 - 48*a\/5 - 32.\nAnswer: 2*(a - 5)*(a + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.052 + 1065.948. Let y = -1066.7868 + m. What is y rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45290*v = 45259*v + 248. Solve 0 = -5*g - 3*y + 31, 3*y + 2 = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -37281\nAnswer: -37280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)\/(w\/w**(2\/57)))\/(w*w\/(w*w**(3\/22)\/w*w)*w*w*(w\/(w*w**(-23))*w*w)\/w*w) assuming w is positive.\nAnswer: w**(-49945\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 431669.6 hours in minutes?\nAnswer: 25900176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and (-6)\/1 - 84\/(-12).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**4 + 691*b**3 + 8*b**2 + 24. Let q(x) = -2*x**4 + 460*x**3 + 5*x**2 + 15. Let w(y) = 5*n(y) - 8*q(y). Determine o so that w(o) = 0.\nAnswer: 0, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.03679 millimeters in micrometers?\nAnswer: 78036.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.5 (b) 2\/11 (c) -0.02 (d) -34 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53394 and 40854.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.02593, 4\/3.\nAnswer: -26, 0.02593, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/43 and 19\/13.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054917262 rounded to three decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -32. Suppose 5*q - d = 3*d + 29, 5*q - 61 = -4*d. Calculate the remainder when (-6)\/4*(-150)\/q is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*-105*(-496)\/(-5208)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104 + 31 + -10 + -6. Solve j = 2*l - n + 113, -4*l + 24 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20296 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((-2 + sqrt(1539) - sqrt(1539)) + sqrt(19))**2 - sqrt(19) - (0 + sqrt(19) + sqrt(684)))*6.\nAnswer: -138 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 2*j - 1. Let i be x(-1). Suppose -3*t = -1 - i. Let p(c) = c - c**2 + t*c - 4*c - 3 + 0*c. Let h(w) = -1. What is -3*h(z) + p(z)?\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x + 9. Let z = 3 + -1. Suppose 2*n - z - 2 = 0. Is x less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17403 - 2791 = -222*f - 1594 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 1 = 0. Let h = c + -2. Let x(l) = 11*l**2. List the prime factors of x(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c + 2. Let a(l) = 2*l**2 + 16*l + 12. Let j be a(-7). Let k be z(j). Solve k = 2*s + 4 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3*0)\/1. Factor a*v + 0*v**3 + v - v**3.\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/224 and -59\/48.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 31*i**2 - 36*i - 62. Let u be p(-27). Let z(a) = a + 3835. Let l be z(0). Suppose -5*h + l = 4*s, -u = -4*s - 0*h - 2*h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/13, -71, 2, -11.\nAnswer: -71, -11, -28\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100 (base 2) in base 5?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 12.48761 millennia?\nAnswer: 124.8761","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2229 and 49\/3855.\nAnswer: 2864265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -11*o - 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4723374 divided by -206.\nAnswer: -22929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:19 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4195, 8673, 13155, 17641?\nAnswer: 22131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2323966 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.51. Let u = z + 2.79. Which is bigger: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2487208\/3, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {u: 2, l: 4, t: 9, d: 1, m: 1}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 39*d**2 + 9*d - 300. Let o be v(-11). Is 4322 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3851764 by 1925882.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 257*l**2 - 261*l**2 + 5 + 191*l - 4.\nAnswer: -4*l**2 + 191*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 156*m + 2532. What is r(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 95 = -v + 118, -b = -5*v - 35. Calculate the remainder when 1871 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731291809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47874360.\nAnswer: 2, 3, 5, 29, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 11*f**2 + 9*f - 4. Let q be d(12). Let u = q - -16. Let p be (-8)\/20 + u\/(-10). What is the third smallest value in p, 1\/5, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*t - c, -15*t + 28 = -17*t + 4*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.110748 and -60.5?\nAnswer: 66.610748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5\/30 - 2*l**3\/9 + 131. Factor r(j).\nAnswer: j**2*(j - 2)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3778\/7 + -4161\/7. Let d = -55 - l. Put -5, 2\/3, d, -2 in descending order.\nAnswer: 2\/3, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1135808 divided by -1135808\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057288662 to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.88852 to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-908)\/1362*(-6)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*t - 174*t - 95*t - 76*t - 90*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 45*s**3 - 190*s**2 - 185*s + 50 = 0.\nAnswer: -1, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2. Let l(w) be the third derivative of 0 + 1\/120*w**6 + 1\/6*w**3 - 1\/12*w**4 - 7*w**2 + 0*w - 1\/30*w**5. Let s be l(2). Give q(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -6 - -9) + -5 + -4 + -38\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-54))\/(10\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 13*a - 112 = 0. Let b = 62 + a. Calculate the remainder when (-4 + -31)*(2 + 39\/(-15)) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -44425754, 2.\nAnswer: -44425754, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(108) + -1 + sqrt(108) + sqrt(108) - (-1 + sqrt(108))*6)**2 - (2 + (sqrt(33)\/(-6*sqrt(22)\/sqrt(2)))**2).\nAnswer: -216*sqrt(3) + 12071\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 4)\/((-6)\/(-4)). What is the units digit of 306\/12*t\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -23610.\nAnswer: 2\/11805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 29699?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-40))\/((-1)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 23.3, 3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 9*a + 2 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -945*j**3 + j**2 - 298*j + 14.\nAnswer: -5670*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63\/8 + -8. Let d = 4.8 - 4.855. Let n = d - -0.355. Which is the closest to n? (a) g (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(140\/75) + 3\/(-21). Suppose v - 5*v - h*j + 548 = 0, 0 = -v + 2*j + 127. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 851.5 and -796.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/30 + 102*d**5\/25 - 123*d**4\/5 + 682*d**3\/15 - 291*d**2\/10 - 998. Suppose s(u) = 0. Calculate u.\nAnswer: 0, 1, 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -864, -1317, -1792, -2295, -2832, -3409?\nAnswer: -4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88679*i**3 + 88692*i**3 - 177379*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 10*y**2 + 5*y**2 - 4*y)*(5*y + 9*y - 10*y) as h*y + i*y**2 + m*y**3 + x and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(1408)*-1 + sqrt(1408)))\/(sqrt(2) + (sqrt(2) - sqrt(6)\/(-2*sqrt(3)))).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 - (10 + 2 + -22 + 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000095873 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let b be ((-6)\/(-10))\/(i\/5). Let j(d) = 2*d - 3. Let o(p) = 12*p - 12. Let q(v) = -v - 1. Let a(r) = o(r) + 2*q(r). Give b*a(y) - 14*j(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**6*g)\/g**12)**(-42))**(-11\/4) assuming g is positive.\nAnswer: g**(-693\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*1*6)\/(-2*1*sqrt(6)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278144*h*l**2 + 66582237*h*l wrt l?\nAnswer: 556288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -548363*s*z**3 - 249155563*s*z - 156*z**3 - z**2 wrt z.\nAnswer: -3290178*s - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5550)\/350 + 17)*35?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*m**2 - 75*m**2 + 763*m**2 + m**3 + 2140*m**2 - 2 in the form p*m**2 + x*m**3 + t + b*m and give p.\nAnswer: 2648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Let n = 32 + -35. Suppose 2*k = -2*s - 1 - 1, 2*s + 4 = -3*k. Which is the third biggest value? (a) k (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 102640*r - 102635*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554 + 83 = 91*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -65. Let l = 62 - i. Suppose -2*q - 21 = -3*z, 2*q + l = 3*z + 2*z. 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 p(b) = -45*b - 125. Let s be p(-6). Is s greater than or equal to 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13271.\nAnswer: 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 14853492.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 1278*j**3 + 8*j**2 - 6823*j wrt j.\nAnswer: -24*j**2 - 7668*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 9522 = 10566 for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxr when three letters picked without replacement from {r: 1, x: 1, q: 1, a: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/2 + 8*x + 24 = 0.\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 265 - 121. Let v = -36 + h. Solve -5*s + v*s = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -10) + -307 + 289.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991672533.\nAnswer: 3, 110185837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/660 + k**5\/330 - 4*k**2. Factor h(l).\nAnswer: 2*l**2*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + 137 - 130)*(1 - 4 - 4)*(-4 + t + 4).\nAnswer: -7*t**2 - 49*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 124 + 58 = 21*g. Let a(y) = y - 8. Let c(f) = 5*f - 33. Let w(k) = 9*a(k) - 2*c(k). Give w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.45 + 3.45. Which is the biggest value? (a) 1\/10 (b) -4 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/(10\/1100). Let j = -44 + x. Let d = j - -20. What is the common denominator of d and 11\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 126*z**3 + 5547*z**2 + 44730*z = 0.\nAnswer: -15, -14, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8222 is divided by 392?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84\/619 + 818\/3095. Let y be ((-13)\/6 - -2)*2. Which is the second biggest value? (a) -15\/4 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4617) - (-2*sqrt(4617) - sqrt(4617)))*6)\/((sqrt(243) - (sqrt(243) + 2*sqrt(243)*4 + sqrt(243)))*-5).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*o - 50*l*o**3 + 2*o**3 - 17*o**2 wrt l.\nAnswer: 9*l**2*o - 50*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/36)\/(-3*(-2)\/(-9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 119 + 2?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.117 - 9.217. Let g = -9.4 - u. What is the closest to g in -4\/3, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by (4 + -14 - 2)\/(3\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 7, p: 2, m: 2, s: 4}. Give prob of picking 2 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 5*u + 0*u + (-3 + 3 - 3*u)*(-3 - 1 - 1) + (2*u + 0*u - 3*u)*(-4 - 2 + 4) + u + 0*u - 2*u + 3*u - 2*u + 8*u in the form v + o*u and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**2 - 63*v + 4. Let q be g(18). What is the greatest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 597, -0.5, -4\/3, 6 in decreasing order.\nAnswer: 597, 6, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/17, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 8*k - 1. What is the remainder when i(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5274 + 5484. Suppose -4 = -4*l, -5*l = 4*s + 78 + 145. Let x = p + s. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819070437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -1\/12*d**3 + 1\/8*d**2 + 0 - 1\/16*d**4 - 2*d. Factor b(o).\nAnswer: -(o + 1)*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8*h + 5*h + 67, 5*h + 4*m = 101. Suppose h*k - 17*k = 928. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m + 185 = 0. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 38. Let b = 3 - q. What is x in 4*x**2 - 3*x**2 - x**4 - 3*x**b - x**4 - 4*x**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 947*i**6\/30 - 363*i**3 + 3*i - 25. What is the second derivative of w(m) wrt m?\nAnswer: 11364*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 5)*(l**3 - 1 + 3 + 0 + 2*l) to k*l + m + x*l**2 + b*l**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:13 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooqpoojokokq. What is prob of sequence ojq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - 2*w**2. Let g(c) be the first derivative of 0*c + 47 - 1\/2*c**2. Give q(g(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-8)*t*t)\/t**(-2\/5)*t**(2\/5)*t*t*(t*t**(1\/4)*t)\/t*t)\/((t\/(t\/(t*t**(-5))))\/((t\/(t\/((t**(3\/7)*t)\/t*t*t)))\/t))**(-16\/7) assuming t is positive.\nAnswer: t**(-11131\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -14.3\nAnswer: -400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**7 + 0*j - 7*j**2 + 0*j**3 + 323\/24*j**4 + 193\/336*j**8 - 5 + 0*j**5 + 0*j**6. Find the second derivative of h(r) wrt r.\nAnswer: 3860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1. Let b(o) = o - 1. Let x(k) = k**2 + 3*k + 1. Let t be x(-1). Let p(c) = t*b(c) + s(c). Let f(q) = -2*q - 502926 + 502926. Calculate f(p(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 20562 - 20082 = 0. What is the remainder when 519 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -102. Let v be (-54)\/(-8) - (-17)\/y. What is the greatest common divisor of 49 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 2*t - 3*t + 10 - 2*t + 4. Give g(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26025\/11 + -2366. What is the nearest to -2\/3 in -1\/6, 1, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 - 23*m - 2. Let y be n(-5). Suppose -2*z + 122 + 214 = 0. Suppose d = 3*a + y, 0 = 3*d - 0*a - 2*a - z. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64964268 divided by 38\nAnswer: 1709586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10941?\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2721 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = 0, -3*b = 2*b - 4*u - 102. Suppose b*c = 24*c - 66. Suppose -c*y + 4583 - 821 = 0. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60341 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 27 = t, 5*h + 3*t = t - 68. Let d(f) = f**3 + 13*f**2 - 21*f. What is the tens digit of d(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**3 - 2*v + 1. Let z be i(1). Suppose 0*u + 5*u = 10. Let g(a) = 3 - a**3 + 6*a**u - a + 2 - 4*a. Calculate g(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86069 times 2.6?\nAnswer: 223779.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(112) + 2)*-2)**2 + -3 + -2)*6*-3.\nAnswer: -33048 - 4608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22252 is divided by 7403.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24094 - 120468\/5. Which is the biggest value? (a) -0.3 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (-9 - -5)) + (0 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(48)\/sqrt(4))\/sqrt(4)*5 + -4) + 4 + -1 + sqrt(192) + sqrt(9)\/(sqrt(9)\/sqrt(3)) + 4)**2.\nAnswer: -30*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -12294, 1\/4 in decreasing order.\nAnswer: 16, 1\/4, -12294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d + 2*x, 0 = 4*d - 0*x + 3*x. Let o be 113\/d - (-20)\/(-30). Suppose 0*f + o = f. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 5*w**2 - 4*w**2)*(((-3 - 1 + 2)*(1 + 2 - 2) - 1 + 5 + 1)*(17*w - 6*w - 35*w) + (-3 + 5 - 4)*(w - 2*w - w)).\nAnswer: 204*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k + 12. What is the smallest common multiple of (75\/20)\/(-2*k\/32) and (-1)\/(1\/(-19 + 1))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/12)\/((99\/6)\/(-1)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -7*j + 11*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*b - 43 + 16 = -1051*b - 3*v, 4*b - v - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (828\/63)\/((-4)\/(-14)). Solve f*b = 43*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4451, -35423, -119455, -283067, -552779, -955111?\nAnswer: -1516583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 219*w - 8096. What is the remainder when j(34) is divided by 129?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q - 4*q - 14*q - q + 2*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757443 divided by -2?\nAnswer: -757443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let v be x(5). Let z(y) = y**2 - 6*y + 6. Let u be z(v). Suppose 0 = 4*m - 7*m + 3. Sort m, 0, u in increasing order.\nAnswer: u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/235 and -591085 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/1224)\/((-2)\/(-44)). Let j = -2\/51 + n. Which is the third smallest value? (a) 5 (b) -2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + (-1 - ((-15 - -7) + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*l = s - 36, -2*s + l + 51 = 0. Let d = 3 + s. What is the units digit of d\/4*4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/41914571 and 28\/51.\nAnswer: 125743713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**3*r**4 - 43*q**3*r**2 - 1751*q**3 wrt r.\nAnswer: 8*q**3*r**3 - 86*q**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4 - 16*a**3 + 96*a**2 - 256*a - 5. Factor f(n).\nAnswer: 4*(n - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-12)*(0 - 4). Let v(c) = -6*c**2 - 2*c - 1. Let s(w) = -18*w**2 - 7*w - 3. Let m(u) = b*s(u) - 21*v(u). Differentiate m(n) wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -52.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -13234?\nAnswer: -13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20067 - 20067 - 22*i**2)*(3*i - 9*i + 4*i)*(1 + 1 - 4)*(1 + 2*i - 1).\nAnswer: -176*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27549420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -12, -25, -42, -63?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 43 = 28*m - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 3\/(-9). Suppose 4*m + 2 - 522 = y. Find the common denominator of 45\/2 and -1 - 1 - m\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y + 8. Let w be z(6). Find the third derivative of 0*r**3 - 11*r**2 + w*r**2 + r**4 + 0*r**3 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gygyg. Give prob of picking 2 y and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*m + 599 + 783 = 134 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 53)\/1*(-66)\/44. Let z = q - 74. What is the remainder when 85 is divided by (z\/10 + 56\/(-40))*-22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*g = -8, -3*x - 7*g + 6 = -4*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)\/sqrt(2) - sqrt(11))*-3 - (1 + sqrt(11) + 0))*4)**2 - (1*sqrt(99)*-4)\/(sqrt(576) - sqrt(576)*2).\nAnswer: 63*sqrt(11)\/2 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476176280 by 2.\nAnswer: 738088140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y + 484. Let d be v(0). Let t(h) = 169*h + 683. Let x be t(-4). Suppose x*r - d = 433. What are the prime factors of r?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*f + 3*v, -6 = 2*v - 5*v. Find the first derivative of 12*w - w + f + 24*w wrt w.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 123 = 109*m + 91 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -a - 5, -122*l + 5*a = -117*l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1*(-1)\/5). Let y = 7\/45 - -1\/15. What is the second biggest value in 0.5, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 5. Let d be g(3). Suppose z - 2*r - 1 = 1, -d*z - 2*r + 4 = 0. Suppose -1 = -z*a + 5. Solve 9 = -0*l + a*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7215 = 4*k - 5*i, -5*k + 7207 = -i. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*q + 15*q - 17*q)*(2 + 2*q - 2) in the form v*q**2 + d*q + l and give v.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10305 and -1.\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((2 + -4)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-32) - 19\/36. Let k(b) be the first derivative of 1\/9*b**4 - n*b**2 + 1 + 2\/45*b**5 - 2\/9*b + 0*b**3. Factor k(a).\nAnswer: 2*(a - 1)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3024*h - 6038. Determine d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16106634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 14*d**2 + 125*d - 4. Give k(-7).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200235707.2 minus -0.6?\nAnswer: 200235707.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 8)*(-3*h - 3 + 3)*(0 - 5 + 4).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + s = 3*s, -3*s = -2*a. Let d = a + 0. Let t = -10 - -25. Solve 5*m = -d*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13848 and 6886568856?\nAnswer: 13848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22448 and 160080.\nAnswer: 9764880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**3 + 27220*a**2 + 11667*a.\nAnswer: -a*(a - 3889)*(7*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/(((s*s**(-1\/5)\/s)\/s)\/s))\/((s*s**(1\/2))\/(s**1\/s)) assuming s is positive.\nAnswer: s**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 30*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*s - 23. Let m = -6 - s. What is the second derivative of -a**m - 3*a**3 + a + 2*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 183, 151, 99, 21, -89, -237?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 3. Let a be s(-2). Let y be a\/3 - (-102)\/(-9). Let f = y + 23. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28519 is divided by 257.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15354 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 77637*r\/5 - 1474742\/5.\nAnswer: -(r - 77618)*(r - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676166571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*j - 324024 = 394*j. Is 123 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 587*d - 20324. Give a(-45).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 2, -2, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 13\/5 - (-21)\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-3570)\/68))\/2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*n = -800 + 4930 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + r + 1476. Suppose 0 = -2*d + 1634 + 252. Let u = d - r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2. Let b(i) = 255925*i. What is b(c(q))?\nAnswer: 767775*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z + 3. Let v = 13 + -18. Let j be 0 + 1 + 4\/(-2) + -1. Let p = v - j. Give m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -339 + 341. Suppose g*b + 4032 = 18*b. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-19)\/(-12). Let w(f) = -2*f**3 - 5*f**2 + 23*f - 6. Let c be w(-5). Let k = 0.42 - -6.58. Put k, c, q, 1 in ascending order.\nAnswer: q, 1, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 3*f + 48 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4037*m + 93921 = 4040*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b - 128*b - 42 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 1932*k**3 + 426816*k**2 + 34784256*k + 539934720 = 0 for k.\nAnswer: -208, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 11 - 57*g**2 + 4 + 11 as r + k*g**2 + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73664446.\nAnswer: 2, 23, 73, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324408 and 324408.\nAnswer: 324408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172945 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*m**5 - 6*m**4 + 220*m**3 - 3*m**2 + 282067*m + 1.\nAnswer: 4440*m**2 - 144*m + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 212, 210, 206, 200, 192, 182, 170?\n\"Answer: -g**2 + g + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f - 2. Give j(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34843794*u**3 + 2865002*u**2 wrt u?\nAnswer: 209062764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 219, 232, 263, 318, 403, 524, 687?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 79348*k + 19509648.\nAnswer: 4*(k - 19588)*(k - 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -63*h + 1010. Calculate o(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 1\/7, 0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8157 >= -8324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-4) - 1\/4. Suppose 5*v - q*v - 2 = 0. Let z be (-1 + v)\/(-9 + 7). Solve w + w = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -717305 * -0.06.\nAnswer: 43038.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 14390*c**2 - 3132044656*c\/11 + 3131886368\/11.\nAnswer: -2*(c - 39572)**2*(c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90651.\nAnswer: 3, 11, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/(-792))\/((-55)\/(-3))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1201 - -1326. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12500 divided by -348?\nAnswer: 3125\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12765*g. Let x(a) = -586*a**2. Determine h(x(u)).\nAnswer: 7480290*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.371455337 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14279370 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - 2780\/60)*-54 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775.5 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 20 = -5*k + 4*u, -9 = 3*u. Suppose -k*l + 4*l + 3*x = -3, 0 = 5*l - x - 1. Is l\/3 + 2 + 143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/2 - 3241*b**3\/2 + 891845*b**2\/2 - 8872975*b\/2.\nAnswer: b*(b - 535)**2*(3*b - 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**9\/504 - c**5\/60 - 9*c**2. What is the third derivative of d(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccj. What is prob of sequence ccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -25*j**4 + 4*j + 95*j**2 - 12*j - 30 + 10*j**5 - 4*j - 45*j**3 + 8*j - j = 0.\nAnswer: -2, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v. Let b(t) = -7*t + 5. Let i(q) = -1 - 1 + 7 - 1 - 6*q. Let g(y) = -4*b(y) + 5*i(y). What is g(f(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 35, 70, 107, 146, 187?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4 - 4*w**2 - 2*w = 0. Calculate w.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.5 - 10. What is k rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 6. Suppose 4*t - v*o - 18 = 0, 4 = -3*t - 4*o + 1. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - -2 - (92 + (-187 - -89)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-7)*8\/6. Let m = -502\/3 - -167. Sort b, m, -0.1.\nAnswer: b, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 2. Let p(j) = 2*j - 3. Let u be 32\/56*14\/4. Calculate u*p(o) + 3*l(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, 33\/7, 16992?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 9622.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055664089 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 68*p**2 + 2*p - 64. Let c be u(34). Let v = -89 - -91. Solve c*d + 4 = 5*k, -4*k + 28 - 4 = v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9570 + 1696. Let f be r\/(-2*1\/108). Let l = f - -214804. Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 f when three letters picked without replacement from fxjjxwjffxxxjjbxxxj?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 15 - (4 - (3 + -1)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 66 - 134. Let i = 347 + y. Round i to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/8 + 81155*f**2\/8 - 486887*f\/8 - 568043\/8 = 0.\nAnswer: -1, 7, 81149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 4*s**2 + 3. Let q(p) = -5*p**3 + 9*p**2 - 7. Let f be (3\/10)\/((-51)\/(-68))*-10. What is f*q(i) - 9*j(i)?\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -173062, -3 in decreasing order.\nAnswer: 83, -3, -173062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4\/7 - 106392*c**3\/7 - 943165056*c**2\/7 - 2785794548648*c\/7 + 8365875004356\/7 = 0 for c.\nAnswer: -8867, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0\/(2 - 5). Suppose l = 5*w - w. Let o(c) = -9 + w - 2 - 6*c. Let a(x) = -x - 2. Calculate -22*a(p) + 4*o(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:28 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t = 1012, 4*t - 520 = -22*c + 20*c. Is 84 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 13*g - 84 = -8*g. Let w(u) = -u**2 + u - 7. Give w(g).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11078 divided by -37997?\nAnswer: -11078\/37997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12025 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/5*((-2020)\/132 - -15). Is b >= -0.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 11*s + 8. Let o(n) be the third derivative of 11*n**5\/60 + 4*n**4\/3 + 7*n**3\/2 + 129*n**2. Let x(l) = 3*o(l) - 8*y(l). Determine x(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j + 1. Let f be p(4). Suppose 789 = f*x - 3*w, -2*x + 3*w = -0*x - 312. Suppose 0 = 3*l - 0*l - x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14\/123 - -2111\/17466. Let u be 0 + 2 + 2\/(-2). Is q <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 2\/9 (c) -1\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 1. Let w = 8 + -6. Let g(i) = 1 - 1 - 3 + 3*i**w. Let m(d) = -3*g(d) + 5*o(d). Differentiate m(k) with respect to k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/4 + 11*k + 15. Let g(m) be the first derivative of x(m). Let q(a) = 3*a. Calculate g(q(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 401, 409, 417, 425?\n\"Answer: 8*t + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.3 + 21.3. Let i = 10.5 + -9.2. What is the closest to k in i, 3, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4161 by 875.\nAnswer: -4161\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5 + 55286*n**4 - 20266611*n**3\/5 - 111432456*n**2\/5 - 111592188*n\/5 - 6250608 = 0.\nAnswer: -11130, -4, -3\/5, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmcmcmmmmtl. Give prob of sequence tm.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l**2)*((0 + 1 + 0)*(2*l - 4 + 4) + (5 - 3 - 3)*(2*l - 5*l + l))*(-4*l + 2*l - 6*l)*(7 + 1 + 14).\nAnswer: 1408*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a**(-9)\/a)*a**1*a\/a**(-4\/11)*a*a*a**(-9) assuming a is positive.\nAnswer: a**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 16, 13, 10, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3416 - -3393. Sort -1, o, 0, -2 in increasing order.\nAnswer: o, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 12*d + 17. Let y be h(13). Suppose -y*x = -m + 27, 2*m - 3*x - 67 = -3*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-3)\/(sqrt(640) - (sqrt(640) + sqrt(640) + (sqrt(640) - 2*sqrt(640)) + sqrt(640) + sqrt(640))).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let k = -9 - f. Let l = -26 + 23. Sort k, 3, l.\nAnswer: k, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**(-28)*m**(3\/22)*m*m*m\/m**(17\/5) assuming m is positive.\nAnswer: m**(-2999\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l**2 - 2)*(-622 + 1084 - 2893 - 316 - 2391).\nAnswer: -5138*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6)*-8*3. Which is the closest to 0.04? (a) f (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 192*h**4 + 16752*h**3 - 79509*h**2 - 23224710*h + 23287275 = 0.\nAnswer: -485\/8, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from uqjquququjujq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*u = 632 + 158 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2675 + -2674. Let m(y) = 15*y**2 + 3*y - 2. Give m(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88 (b) 3 (c) 1\/4 (d) 0.1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2520 = -21672. Is u a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 not equal to 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**2 - 2*f - 1 + f**3 - 1\/4*f**4. Suppose -3*s = -7*s + 8. Determine l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217976 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l = -3*o - 593, 3*l - 4*o - 279 + 245 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6949\/4408 + -25\/232. Let d = -19552 - -19550. Is d at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2495\/9 + 278. Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 4668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50131246 (base 7) to base 11\nAnswer: 237a107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/11147 - -634539\/780290. Let b be -3 - 496*(-1 - 0). Let c = b + -1901\/4. Calculate the common denominator of c and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 19*a**3 - 20*a**2 + 3*a - 2. Let f be m(1). Sort f, -4, 11, -3 in descending order.\nAnswer: 11, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9193708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*j + 85*j**3 - 84*j**3 + 125*j)*(-14*j + 6*j - 6*j).\nAnswer: -14*j**4 - 2856*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911849 is divided by 501.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a + 14*a**2 - 6*a - 5*a**2 - 4*a**2.\nAnswer: 5*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d**4 + 774 - 32*d - 772 - 13*d**4)*(-2*d + 2*d + 2*d).\nAnswer: 2*d**5 - 64*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 11 + 1. Let w(n) = -2*n**3 - 4*n**m + n**3 + 4*n**2 - 3*n**2. Determine w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 8 - 5*k**2 - 17*k**2 + 1 - 4 + 4*k**2.\nAnswer: -18*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1326054 or 1326081?\nAnswer: 1326054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 76*l + 881. Calculate the least common multiple of x(-73) and 70.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z**2 - 26*z - 7. Let d be o(6). Calculate the highest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 3*r**2 - 46*r + 79. Determine b(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Suppose -4*q - 2*j + p = 0, -3*q - 35 = -8*q + 5*j. Suppose -w = -q*w + 12. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*u - 14, -4*n + u + 2*u = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/11)*l*l*l*l**(-1\/5))\/((l*l*(l\/((l*l**7*l)\/l)*l)\/l)\/(l*l*l**3)))**(-41) assuming l is positive.\nAnswer: l**(-33784\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*(-1 - 0). Solve 3*k + m = 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2\/35)))\/z*z)**(15\/4)\/(z**(-21\/2))**8 assuming z is positive.\nAnswer: z**(1173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 + 13*h + 40. Let y be q(-9). Solve 4*a + y*f = 3*a - 12, 5*f + 15 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002903691452 to 7 decimal places.\nAnswer: -0.0029037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11733*d*r**5 - 2*d*r + 792*d - 23308*r**3 - 145469 wrt r.\nAnswer: 234660*d*r**3 - 139848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -75*j**5 + j**2. Let f be k(-1). What is f rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32439, 64880, 97307, 129708, 162071, 194384, 226635?\n\"Answer: -2*w**3 + 5*w**2 + 32440*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2008 or 1962?\nAnswer: 2008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 59128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260 + -252. Which is greater: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 109921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 59 + 96)*(-p + 0*p + 3*p + (-1 + 1 + 2*p)*(-1 - 1 + 0) - p + p + p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/50100 and -179\/150.\nAnswer: 50100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 5*i**2 - 3372 - 6*i**3 + i + 3271 + 2*i**3 in the form g*i**2 + h*i**3 + v*i + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 - 8*n + 10. Let o be f(7). Suppose -2*y + 1 - o = 0. What is the second biggest value in -2, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/15)*a*a*(a**(-1)\/a*a)\/a)\/(a**(-2\/7)*a\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(-124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*b - 78320 = 671*b + 957*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.266 - 3.266. Suppose 3*o + 11 = -d - d, d = 4*o. Sort t, 3, o in increasing order.\nAnswer: t, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Is -1\/6 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26808 and 9120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13319 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1128 + 1233. Let j be (12\/y)\/(12\/(-30)). Let p be (3\/2)\/(6\/80). Put p, 5, j in ascending order.\nAnswer: j, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i - 31*i - 242*i + 4256 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 114 - 178. What is the hundreds digit of 1*-28*(-400)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 0*c + 4 - c**2 - 2*c. Let l(i) = 3*i**2 + 2*i - 1. Let z be l(-2). Is w(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -0*n + n, 22 = n + 5*a. Suppose 0*x - u = 4*x - 67, 0 = -x + n*u + 28. Calculate the lowest common multiple of 2\/x - (-102)\/54 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 528*q**2 - 37.\nAnswer: 528*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -1) + (-10)\/(-15)*21. Let a(u) = 3*u**2 + 2*u**2 - 3*u - 2*u**2 + 12*u + x. What is the units digit of a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01494 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 5 = 43. Let o(g) = -g**3 + 3 + g + 2*g**3 - g**2 + 0. What is o(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 + a + 6. What is k(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8167156?\nAnswer: 2, 439, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123520*i + 11592 = -122692*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**7\/14 + 67*c**5\/20 + 215*c**4\/12 - c**2\/2 - 94*c - 3. What is the third derivative of m(j) wrt j?\nAnswer: 180*j**2 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 44013245134?\nAnswer: 44013245140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -397.37961 to one dp.\nAnswer: -397.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(156)*1)\/sqrt(12) + 5 + (1 + sqrt(1053) - (sqrt(13) + (sqrt(13) - sqrt(117)\/sqrt(144)) + sqrt(13) + sqrt(13))))**2.\nAnswer: 39*sqrt(13) + 2837\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.3. Let w = -38.397 + 46.397. Which is the nearest to g? (a) 0 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/176 + 62\/22. Suppose 3*x - 5*k - 91 = 0, -4*x + 116 = -k - f*k. Solve 0*o + 2*o = -5*u + 9, 0 = -5*o + 4*u - x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 84.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 64 - (35 - 18)) + -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Suppose -q*p = -0*p + 8. Which is bigger: p or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6899 is divided by 6613.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.356 in 0, 7\/8, 17, -20, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 2 + 4 - 6*y - 2*y**3 - 4 + 2*y. Is 2 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 405904602?\nAnswer: 405904601.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4815 divided by -15.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 13*q - 6. Suppose 4*x + 10 = -186. Let m = 35 + x. Let b be r(m). Calculate the greatest common factor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.19 - 2.189875. What is s rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.074? (a) -1\/7 (b) -2 (c) -3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -195, -447, -801, -1257, -1815, -2475?\n\"Answer: -51*y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:45 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 4.5. Let p = -4.22 - -9.23. Let g = p + w. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (25 - (-803)\/(-44)). Put -330, l, -4, -2\/7, 1 in increasing order.\nAnswer: -330, -4, -2\/7, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and 3.1.\nAnswer: -10.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.206 + -7.006. What is the nearest to 2\/5 in n, -2\/5, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43436602 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020589 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 42*l - 274. Let b be r(34). Let m = -0.14 - -0.14. Suppose -5*t + 5*f + 35 = 0, 3*t = t - 2*f - 6. What is the closest to t in 0.2, m, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/(c**(-19)\/c)*((c*c**(-2\/33)*c)\/c*c)\/(c\/c**28) assuming c is positive.\nAnswer: c**(1549\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25081048, -25081049, -25081050, -25081051, -25081052?\nAnswer: -25081053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 72. Let i be m(-22). Suppose -4*k + i = 8. Solve -5*j = k*v - 20, -5*j + 3 = -5*v - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2547.8129 - -2554.2429547. Let h = x + -6.43. Round h to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (1 - (-17 - -27 - (3 - (-2 + -4))))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22632813 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 + 3*h**2 + h - 13. Give s(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1*sqrt(153)*5 - sqrt(153))\/(sqrt(36)\/(sqrt(12)\/sqrt(3))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7810 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:15 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080460 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**4 - i**2 - 13*i + 1. Let r(s) = -32*s**4 + 7*s**2 + 121*s - 2696. Let n(d) = -9*b(d) - r(d). Find the first derivative of n(a) wrt a.\nAnswer: 164*a**3 + 4*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-48)*4)\/(5\/45)*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 - 22 = -3*t. Let k = 483 + t. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3583 - -489. Let l = -1839 - f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 173\/2. What is the biggest value in u, -7, -3\/2, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*d**3*u + d**3 + 228*d - 4*u with respect to u.\nAnswer: -108*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:43 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34861555?\nAnswer: 5, 6972311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-72))\/((-377)\/4524)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/15 + 2312*a\/5 + 110464\/15 = 0.\nAnswer: -3452, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1 - (-13 + 10 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21880)\/(-25) - 2\/10. Let x = 1554 - h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-23)\/j)**(-2\/5)*(j**(-23)*j)\/(j*j**(23\/4)) assuming j is positive.\nAnswer: j**(-383\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 30. Suppose 5*p + g - 5*g = 13, 27 = 3*p + i*g. Suppose 3*h - 2*h - 1035 = -4*d, -p*h = 4*d - 1031. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/25 + -88\/25. Let t = -12717\/176 + 1159\/16. Let j = -2 - -3. Which is the closest to j? (a) 1\/3 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3192 - 3003. Suppose 0 = -5*b + 4*p + 86 + 39, 5*b - 3*p - 120 = 0. What is the greatest common divisor of b and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.24224 - -24.745. Let l = -6.51 - v. Round l to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161407 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -20*l + 349. Let y(a) be the first derivative of -2*a**3 - 8*a - 6*a**2 - 1\/4*a**4 + l. Suppose y(f) = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4285 - 3784. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -7*u**3\/2 - u**2\/2 + 2750*u. Let b(x) = 102*x**2 + x. Give b(y(f)).\nAnswer: 44982*f**2 + 4263*f + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59460516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15631\/(-2233)*-9*(-1)\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.25 - 2.85. What is the nearest to -0.7 in -0.1, 0.5, -4, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.6. Let g = 0.9 + y. Let j = -0.03 - -4.03. Put j, -2\/3, g in descending order.\nAnswer: j, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164413452 (base 7) to base 2\nAnswer: -101010111001111110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + (-1024)\/(-24))\/(2\/(-57))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let c(d) = 1. Let y(x) = -8*x - 37. Let l(i) = 4*c(i) - y(i). Let u(j) = -l(j) - 6*s(j). Find the first derivative of u(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 2, u: 1, v: 1, o: 1, z: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1989624.02099978 - -1989624. Let q = c + 0.021. What is q rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 123. Let g be u(38). Suppose -2*r = 3*m + 27, 3*r - 2*r = -2*m - 14. Let q = g - r. Solve -s + 2*z = 1, -q*s = -5*s - 4*z + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0211 times -14281\nAnswer: 301.3291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -2 - (36 - 45)) + 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3228 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 10. Suppose -3*x = -0*x + 21. Does 3 divide d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2487*u + 0 - 465*u.\nAnswer: -2952*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = 3*b, -5*b = -5*n - 2*b + 20. Solve 3*o + a + 11 = 0, 3*o + 3 = a - n*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-172)\/430 - 64\/(-10). Solve 2*o - 6 = -3*x, -3*x = -0*x - k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in 16443, 0.4, 2, -5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 521625\/7345 + 106\/(-5989)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 15*g**3 + 4*g**3)*(-5*g - 34*g - 31*g)*(0*g + 2*g + 0*g) + 2*g**5 - 2*g + 2*g.\nAnswer: -2098*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5807000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrsripsrgpgrgpri. Give prob of picking 1 s, 2 p, and 1 g.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -12. Let x = q + 12.5. Which is the biggest value? (a) x (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387973 - 1344.77655?\nAnswer: 386628.22345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11845572 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 200311193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33031.77427 + 2.1\nAnswer: -33029.67427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -2 (b) 0 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let w(r) = -11*r - 3. Let t(v) = -v - 1. Let s(x) = 6*t(x) - 2*w(x). Give i(s(m)).\nAnswer: 512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u + 127*u = -385 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -537474 and -1275497.\nAnswer: -1812971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 131*c. Let g = 58 + -55. Let k(o) = o + 11*o**2 - 12*o**2 + g*o**2 - o. Give h(k(r)).\nAnswer: 262*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**8\/112 - 3*k**7\/70 + k**6\/20 - 2*k**2. Determine v so that r(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14504251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -200*k - 194*k + 393*k - 80 in the form z + r*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50235, 50222, 50209, 50196, 50183?\nAnswer: 50170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*l + 5 = 0, 3*l = 4*p - 3 - 17. Suppose 2*h - p = -1. Suppose h*z - 11 = 7. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**3 + 3*z**2 - 12*z - 37. What is k(-4)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 225678*h**3 + 142699*h**3 - 93725*h**3 + 13*h.\nAnswer: 274652*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -13. Let y be (20 - (4 + -2))*(-1)\/(-3). Suppose 3 = -3*k + y. What is the highest common factor of v and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2. Let o(m) = m. Let y(h) = 7*h + 19. Let f(b) = 2*o(b) - y(b). Let p be f(-9). Let x(z) = -p*z - 2 + 29*z + 2. Calculate d(x(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0. Let a = v + -0.04. Let z = a - -6.09. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -8. List the prime factors of (-3 - 42\/t)*2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*d**3 + 351*d**3 - 1176*d**3 - 168*d**3.\nAnswer: -801*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25975250 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3345, 13162, 29533, 52458, 81937?\n\"Answer: 3277*t**2 - 14*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-57)\/18*-3. Is (n\/4)\/(8\/(-16)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 7*y - 4. Let t = -9 - -11. Suppose -n - 5*h - 5 = 0, 4*n - t*h - 13 = 11. What is the lowest common multiple of n and o(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6633680.\nAnswer: 2, 5, 101, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 3, 4 in ascending order.\nAnswer: 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13178 + -29.13178. Put 0.5, -5, 1.3, o in decreasing order.\nAnswer: 1.3, 0.5, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:04 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152937591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 648, 1083, 1592, 2175, 2832?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13496 and 723.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3777 (b) -1 (c) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110112202111 + 10?\nAnswer: 110112202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916392, 3665495, 8247336, 14661915?\nAnswer: 22909232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1819 + -3313. Let t = -7522\/5 - m. Which is bigger: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-1)\/(-5)*-1. Let x(a) = 3*a**3 + a + 1. Let o be x(-1). Is r + o\/12 - (-52230)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 24*o - 21. Let q be m(23). Solve 3*p + q = 2*s - 2, -3*s = 3*p - 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p - 65. Let o be k(7). Let m = o + -33. Solve -w - 3*w + 4 = m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnzzajnzeannn. Give prob of picking 3 n and 1 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1699, 3.15 in descending order.\nAnswer: 3.15, -16, -1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 2\/13, -10, -1\/3, -0.25 in increasing order.\nAnswer: -51, -10, -1\/3, -0.25, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11529908 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-24)\/20. Sort 2, h, 0.\nAnswer: 0, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*b - 12 = b, 2*a + 5*b - 4 = 0. Calculate the remainder when 41 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20743 - -20903. Solve -3*j - h = -35*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -649197434 and 0.03.\nAnswer: -649197433.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 - 7*l**4\/12 - l**3 - 5*l**2\/2 + 3*l. What is the tens digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -72*s**3 - 2*s - 3. Let k be (0 - (-1)\/4)\/((-107)\/428). List the prime factors of d(k).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 21135103 (base 6) to base 8\nAnswer: 2271457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3275*s + 13 = 3277*s, 5*g + 5*s - 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 11 + 20 - 3 - (2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12001041 (base 5) to base 15\nAnswer: -226b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:49 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173 - -344) + -249 + (0 - -18)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**3 + 5*g**2 + 7*g + 5. Let m(k) = 20*k**3 + 14*k**2 + 20*k + 15. Let a(q) = 6*m(q) - 17*v(q). Suppose -597*b = -612*b. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 240*q = -239*q, -4*q = -3*q - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6115.\nAnswer: 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 3\/4, 1.2, 2, -0.5, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10229 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 5*l + l + (0 + 4 - 3)*(4*l + l - 3*l) - 1079 - 39*l - 72*l + 1499 + 112*l + 3876 to i*l + b and give b.\nAnswer: 4296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -16515, 2.\nAnswer: -16515, 2, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 4}. Give prob of sequence zzm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1105*h**2 - 4*h**6 + 3*h**6 - h**6 - 2366*h**2 + 189*h**4 wrt h.\nAnswer: -240*h**3 + 4536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let z(j) be the third derivative of j**4\/8 - 7*j**3\/3 + 7*j**2. Let p be z(6). Calculate v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = 3*q, -5*q + 1 = -2*f - 1. Sort 4, f, -3.\nAnswer: -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64516 or -63829?\nAnswer: -63829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 718 (b) 75\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2587*k**6 - 2*k**2 + 409*k?\nAnswer: 310440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4670 and 970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c - 93. Suppose -4*u - 4*r = -4, r - 43 = 12*u - 19*u. What is g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 2.02. Let x = -113 - -281. Let i = x - 167. What is the third biggest value in l, i, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -6, 2, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 76. Suppose -z = 5*a + s, -4*a - 4*s - 1 = 19. Solve -11*u + 15*u + 16 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 121 - 130 - 125 + 376. Let h(d) = 9*d + 11. Give h(p(c)).\nAnswer: -9*c + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29)\/(-3) + -6 + 2 - 46\/69. Let r(u) = 94*u - 460. What is r(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-14) - 0)\/(486\/134567811) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -15*j**7\/7 + 16*j**3\/3 - 10. What is the third derivative of q(t) wrt t?\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 848364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(98) - (-2 + sqrt(2))*-5.\nAnswer: -11 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11686, -2, -0.6, -26, 43.\nAnswer: -26, -2, -0.6, 1\/11686, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10488 divided by -6.\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90852940 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -623, -1501, -2647, -4073, -5791, -7813, -10151?\n\"Answer: -2*l**3 - 122*l**2 - 498*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 + 17974*f**2 + 6*f - 17970*f**2 - 1. Let v be c(-2). Let a(t) = 3*t**2 + 2*t + 4. Let r(s) = s**3 + 4*s**2 + 2*s + 5. Calculate v*a(z) - 4*r(z).\nAnswer: -4*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((30\/108)\/((-30)\/(-18))). Solve -a + 1 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*f**5 - 1529*f**4 - 206*f**3 + 160368154*f wrt f?\nAnswer: 420*f**3 - 18348*f**2 - 1236*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2563 and -132?\nAnswer: 297.8316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*m - 46 = 265*m. Let u(t) = 2*t + 7. Let h(l) = -4*l - 14. Give m*h(d) - 5*u(d).\nAnswer: -2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -583365, -583745, -584125, -584505?\n\"Answer: -380*v - 582985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3 - 51892*p**2 - 168116960*p + 1179362800 = 0. Calculate p.\nAnswer: -6490, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 29881477*g**2. Let f(u) = -u**2. Calculate f(o(q)).\nAnswer: -892902667701529*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7475 = 6*n + 7*n. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(n - n + 5*n**4).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 254 = 3*j, -5*d + 0*d - 5*j + 585 = 0. Is 121 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d**2 + 12*d + 11. List the prime factors of u(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29192*u*y**2 - 3221*u*y - 24*u - 1289*y**3 + 81*y + 3 wrt y.\nAnswer: 58384*u - 7734*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u**2 + 6 + 8*u**3 - 10*u**3 - 5 + 13.\nAnswer: -2*u**3 + 54*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 132 = 3*g, -5*g = 5*j - 141 + 1. Calculate the least common multiple of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/17 - -80\/119. Let n = 2484\/5 + -497. Which is the biggest value? (a) -2 (b) k (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:03 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 13675?\nAnswer: 95725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -76471\nAnswer: 229413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.143275 and 61403.\nAnswer: 61403.143275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.2. Let x = -229 + 227. Let h be 21\/9 - (1 + 2). Sort y, h, x in decreasing order.\nAnswer: y, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33148.\nAnswer: 2, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*d - 149*d = -15. Let g be -2*d\/3 - -4. Solve 3*y = -3*l - g*y - 7, l + 3*y + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 4*y. Let b(g) be the first derivative of g**3\/3 - g**2\/2 - 7. Determine -3*b(z) - i(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t. Let h(w) = -20*w. Give -3*h(o) - 8*s(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-5) + 3)*30\/(-9). Solve -16 = 3*n - 2*m, n = -3*n - 2*m + r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367920569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -128.9999271. What is n rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2021 + 2050. Solve w = 10*a + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22997 times 0.4\nAnswer: 9198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 184 = -h. Calculate the remainder when h is divided by (2 + -8)*(-3 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 53.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:28 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/252 and -71\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/(u\/(u*u**(-2\/21)*u))*u*u)\/u*u)*u**(1\/4))\/((u\/(u\/u**0))\/((u**(1\/9)\/u)\/u)) assuming u is positive.\nAnswer: u**(-1397\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. Suppose -4*u = 2*t + 2 - 4, 5*u + t - z = 0. What is the units digit of (u - 2)*(16 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 16*o + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 7*m**3 - 2*m**3 - 3*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - u - 1. Let g be l(-1). Suppose g*r - 4*n = 705, 5*r + 2*n + 2*n - 705 = 0. Factor 4 + 139*w**2 - 2 - r*w**2 + 2*w - 2*w**3.\nAnswer: -2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173397.\nAnswer: 3, 7, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + (-2 - 2)) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*a**2*h**3 + a**2*k + a*h**4*k**2 - 248*a*h**2*k + 2*h**4 + 2*h*k**2 - 2 wrt h?\nAnswer: 1836*a**2 + 24*a*h*k**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 644 + -581. Calculate the remainder when p is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381.4 - -382.4. Which is the second biggest value? (a) t (b) -0.057 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*c + 227*c + 31*c**2 + 4*c**2 wrt c.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.81 - 64.81. Is i at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-234)\/(-15) + (-224)\/(-35) + -6. Solve 0 = 5*q - 3*l + 3, -a = 3*l + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -5, -2.\nAnswer: -5, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p - p)*(3 - 5 + 1) + (-4*p + 0 + 0)*(3 - 5 - 1) + 5*p - 2*p - 4*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**2 - 29*p**2 - 61 + 61.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 5796c?\nAnswer: -57974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2*h - 16, 3*g + 410*h + 26 = 411*h for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 26 = -6. Suppose -5*c - 77 = -n, -c - v*c - 15 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/20 + 2*d**2. Let c(o) be the third derivative of 0*o**3 + 0 + 1\/60*o**5 + 0*o + 0*o**4 - 2*o**2. Determine c(t(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 145*n + 2869. Determine v(-24).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 27903243.77?\nAnswer: 27903243.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -323\/319 - -32\/29. Which is the closest to 185? (a) 2\/15 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*((4*r + 2*r - 4*r)*(2 + 3 - 3) - r - 3*r + r)*(-56 - 6 + 17) as p + h*r and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -1826, -6, -3 in ascending order.\nAnswer: -1826, -7, -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 + 248.7. Let w = 0.9 - -0.1. Which is the third biggest value? (a) w (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b - 2*b - 3*b as f*b + q and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146924438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 22 = 4*a, -a + 5 = -n - 0*n. Let b = a - 3. Suppose -b*f + 5 = -1. Solve 4 = -u - f*p, -2*p - 3 = 2*u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (8 + (-2 - (0 + 1)))) + -24\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 5*l. Let o(h) = -6*h**2 + 14*h. Let s(z) = -z**2 - 5*z - 3. Let u be s(-5). Let n be 4 - (-2 - u\/3). Give n*o(i) + 14*t(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78217, 78216, 78215, 78214, 78213, 78212?\n\"Answer: -w + 78218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 + 170. Let l(g) = -4*g**2 - 30*g - 27. Calculate the remainder when 35 is divided by l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:06 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.429 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 313*b**3 - 636*b**3 - 3*b**2 + 321*b**3 + 40*b + 5*b**2 in the form d*b**2 + l + x*b + p*b**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 392 * -0.068.\nAnswer: -26.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520 - 517 + 1544 - 103*z**2 - 518 + 106*z**2.\nAnswer: 3*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let y = -6 + f. Suppose y = -5*h + 33 + 152. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 4, n: 4}. Give prob of sequence nnq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 21 = -9*z + 4*k, 3*z - 70 = 11*z + 5*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46944.9 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*q + 2*m, -5*q = 3*m - 23 + 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/539? (a) 4 (b) 0.12 (c) 2\/147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 30. Let c(w) = w + 1. Let d be c(2). Solve -k - d*h - 25 = 4*k, 0 = -i*k + 2*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 7*g**2 - 3*g + 7. Calculate r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 32*r - 2 = -5*w, 5*w = -r + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 1115 = 9*s + 220*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49327, 98652, 147977, 197302, 246627, 295952?\nAnswer: 345277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, -2\/13, 0.6, 4, -10280?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.351233 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-217)\/(-77) - (-12)\/66. What is the hundreds digit of ((-2)\/s)\/(39\/(-35334))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - l**2 - 2*l. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a + a + 3*r, -5*a + 3*r + 27 = 0. Suppose 2*q = -q + a. Suppose 0 = 4*u - 4*d - 268, 10 = 2*d + q. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(2\/(-18)). Suppose -f = a - 4, -5*a - s*f = -5 - 11. Let w(q) = 2*q**3 + q**2 - 4*q**3 + a*q**3 + 1 + q - 7*q**3. Determine w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 1128*b**2 + 4473*b - 3348.\nAnswer: 3*(b - 372)*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.9469kg to tonnes.\nAnswer: 0.0779469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.708412612 rounded to four dps?\nAnswer: -5.7084","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let k(i) = -i + 20. Let r be k(14). Let z(y) = r + 2*y + 5*y**2 - 15*y + y. Is z(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1498, 1500, 1504, 1510?\n\"Answer: n**2 - n + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133895879.\nAnswer: 13, 10299683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5581*u + 1891*u + 6 - 8 + 2.\nAnswer: -3690*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*s + 400 = -2*q, 4*q = -4*s - 400. Suppose 103*o - 99*o + 12 = 0. Let h be (-438)\/o*q + 0. What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(5\/2)*b))**(1\/8) assuming b is positive.\nAnswer: b**(-5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -n, 3*y - 6 = 2*n + 2. Suppose -2*w + y*w + 22 = -4*j, -25 = 5*j - 2*w. Is (-5920)\/j - (-3 + (-30)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, -8 in increasing order.\nAnswer: -8, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 112354\/4295?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/44 and 77\/43656.\nAnswer: 480216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 269, 542, 945, 1520, 2309, 3354?\nAnswer: 4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from shshcc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 104017583 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -175*t + 6162. Determine i(49).\nAnswer: -2413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5957.\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0, 0.5, -2, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, 2\/15, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443*b**2 - 5335*b**2 - 2857*b**2 - 6503*b**2 - b.\nAnswer: -16138*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 0.5, -8\/15, 0.12 in decreasing order.\nAnswer: 5, 0.5, 0.12, -0.06, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3557*g**4 - 4*g**3 - 8976187*g**2.\nAnswer: 85368*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 300.77 to 0 dps.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 1:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-3 + -1)\/28). Let z(t) = -2*t - 4. What is z(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 325 - 34 = -4*n, -3*n - 4*f + 293 = 0. Suppose 35 = -14*w + n. Sort 1\/5, -1\/4, w in ascending order.\nAnswer: -1\/4, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982.08941 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217*2.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -360915282 divided by -3\nAnswer: 120305094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in -1\/4, 5, -2\/17, 4414?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.87 times -1?\nAnswer: 29.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 4.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 + 1. Let d be 2\/5 - 12\/5. Let s be d - -2 - (0 + 1). What is z(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 15*w - 17 + 14*w + 2*w.\nAnswer: w + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (154\/308)\/((10\/22)\/(-5))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193537 is divided by 301.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 619181849, 619181848, 619181847?\n\"Answer: -l + 619181850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k**5 - 2642*k**4 + 588*k**3 = 0. What is k?\nAnswer: -147, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4013 + -32143\/8. Calculate the common denominator of 89\/22 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 19924.\nAnswer: 11954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-765)\/(-10))\/9 + 1\/2. Suppose 0 = -w*q + 55 + 8. Let v be ((-6)\/4)\/((-2)\/4). Solve 3*p = -0*p - v*i + 3, p + 5*i + q = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490812533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -327797, -327801, -327807, -327815, -327825, -327837?\n\"Answer: -z**2 - z - 327795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:47 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.277244 take away 113?\nAnswer: -122.277244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208970161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23863 <= 23813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210110111110121 + -10?\nAnswer: 210110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354 is divided by 3627?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33098 in -0.9, -2\/5, 10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r**5 + 3*r**4 + 15*r**2 + 3*r. Let v = 28 + -27. Let g(n) = n**5 + n**4 + n. Let u(k) = v*t(k) - 3*g(k). Find the third derivative of u(z) wrt z.\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 1569 = 5793. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*v + 19, -n + 1151 = -3*v. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495694.9432 minus 672?\nAnswer: 2495022.9432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l**3 + 7*l**2 + l + 1. Let u(k) = -15*k**3 - 3*k**2. Let y(t) = 5*u(t) + 2*x(t). Let r be y(-1). Is r equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwwwwhhwwhhhhhhwhwww. Give prob of sequence whhh.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 8 - 2 = 0, -3*j = 3*w - 9*j - 31 - 20 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2 + (1078\/(-686))\/(3\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, v: 2, n: 1, d: 2, y: 2, z: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 0, 0.118, 5, -0.3 in increasing order.\nAnswer: -75, -0.3, 0, 0.118, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5 - (-2)\/2) - 0. What is the nearest to 4 in 2\/9, 4\/9, k, -0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 1228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -2162?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 0*b**3 - b**3 + (0*b - b + 0*b)*(0*b + 0*b + b**2) - 2*b**3 + 3*b - 3*b - 242*b**3 - 1148*b**2 + 1148*b**2.\nAnswer: -247*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = -3*x, -35*c - 5*x - 10 = -30*c. Let i(v) = -2*v**2 + 12*v - 12. What is i(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 != 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036150017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1557)\/(-15))\/((-2)\/10). Let r = -452 - k. Calculate the remainder when r is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/21)\/(3\/(99\/2)). Let j(h) = -55*h - 22. Let z(d) = -8*d - 3. Determine f*z(q) - 3*j(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556*-1.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.6 - 1.6. Let u = 12 - w. Let y = 1 + -0.5. Which is the third smallest value? (a) y (b) -2\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 20 - (-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-11) - (214\/33 + -7). Which is the nearest to n? (a) -1\/3 (b) 2\/27 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 - 5*z**3)*(-z**2 + 2*z - 2*z).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)*d*d*d*d*d\/(d\/d**(20\/3)*d))\/(d*d**(-4\/5)*d*d)**(1\/6) assuming d is positive.\nAnswer: d**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518 and 19922?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let w(p) = 1076*p. Give w(v(a)).\nAnswer: 1076*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c - c + 5*c)*(-3 - 1 + 2)*(-6*c**2 - 1 - 8*c**2 + 4*c**2) as m*c + g + p*c**3 + q*c**2 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 36 = -4*w. Let r(m) = m + 4. Let y(p) = -p - 5. Let i(d) = w*y(d) - 4*r(d). Let q(n) = -n**2 + 2*n + 3. Determine -4*i(k) - q(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 6. Let q be x(6). Suppose 3*t = -q*t. Let z(h) = -h - 5. Let d be z(-7). Solve -r + 2 = 5*n, 4 = -n + d*r - t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/115 - 5\/23. Which is the nearest to -2? (a) q (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - -7. Let c = g - 11. Solve 5*q - c = -5*w - 2, w - 17 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 81.8 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1105092 divided by -276273.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(119)\/(sqrt(7) + (sqrt(7)*-1 - sqrt(7))) + 1) + (-5*sqrt(34)*-3)\/(sqrt(2) + sqrt(98)*-6).\nAnswer: -1 + 231*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-36)\/56*35\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 2*y - 1. Let l(d) = 6*d**2 - 2*d + 1. Let g = 74 - 44. Let a be ((-4)\/(-5))\/((-6)\/g). Give a*l(j) - 5*n(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(((a*(a*(a\/a**(-7))\/a)\/a)\/a)\/a*a))*a**(-2)*(a**(-3)\/a)\/(a\/(a*a**(-3))))**(-3\/25))**(11\/6) assuming a is positive.\nAnswer: a**(11\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 3*d**2 + 4*d + 3. Let f be h(4). Let m = 5 - f. Solve -m*v = -6*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23426 or -292?\nAnswer: 23426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410800 + 410952 - 1232553 + 410801 - 30*n**3 + 32*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 896 - 871.44. Let h = 25 - q. Let b = 0.440145 - h. What is b rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 3. Let k be d(3). Let h(s) = -s**3 + 2*s**2 + 3*s + 3. Let z be h(k). Suppose -5*i + 2*y = -2, 2 = y + z. Do 4\/11 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.86077 years to millennia.\nAnswer: 0.08886077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*x = 318*x - 11850. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 2*t**2 + 2*t - 2. Let s(k) = 822 - k + 11*k**2 - 20*k**3 - 811 - 10*k. Let w = 5 + -7. Calculate w*s(p) - 11*b(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 60 = -3*q - 2 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 4, -3, 16, -0.1606 in decreasing order.\nAnswer: 16, 4, 0.24, -0.1606, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 10*w - 64. What is the hundreds digit of f(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002591381889 rounded to 7 decimal places?\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmam when four letters picked without replacement from {m: 1, l: 1, s: 1, y: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2*k**3\/3 + 383. Let h(p) = 2*p**2 - 4. Let g(b) = -b**2 + 5. Let q(c) = 4*g(c) + 5*h(c). Calculate z(q(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, -5, 5, 0 in increasing order.\nAnswer: -283, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 13. Suppose -p - 2*p + 5*a - 6 = 0, 0 = 2*p + 3*a - 15. Let k be x(p). Calculate the greatest common divisor of 5 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8918 is divided by 270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (9 - 8 - -13) - 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 o, and 1 y when four letters picked without replacement from tjttjjjjyyfootj?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*y + 14, 40*p - 35*p - 22 = -3*y. Suppose 7*d - y*d = -5*k + 34, k - 17 = -4*d. Solve 0 = 2*l + 2*l + k*i - 11, -i - 17 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2268*v**5 - 2*v**4 + 7*v**2 + 11*v - 14600 wrt v?\nAnswer: -45360*v**3 - 24*v**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 4.\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, 20, -107, -1, -27, -5 in decreasing order.\nAnswer: 33, 20, -1, -3, -5, -27, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2. Let i(o) be the third derivative of o**5\/12 - o**4\/4 + 4*o**2. Let b(c) = -c**2 + c. Let m(j) = 6*b(j) + i(j). Give m(p(r)).\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2850525 and 36153.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11207 - -11195. Let y(x) = 2*x**2 + 21*x - 30. Give y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(12)\/sqrt(6)))\/sqrt(2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325355 and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 - -101011000111?\nAnswer: 101101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 56 - 56 as g*u**2 + k + c*u and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7108*-598\nAnswer: 4250584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 4 (c) -6 (d) -1.3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*o - 5 = 5, 5*o + 25 = 0. Let i = -104 - -730\/7. Determine n, given that 0*n + 2\/7*n**w + 0 + i*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217547, -217536, -217525, -217514, -217503?\nAnswer: -217492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 a, and 1 o when four letters picked without replacement from {f: 2, a: 1, o: 5, q: 11}.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) -6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -5. Let d(a) = -a**3 + 13*a**2 - 21*a - 9. Let h be d(11). Sort o, h, -3.\nAnswer: -3, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/30 + 2*t**5\/5 - 2*t**4 + 16*t**3\/3 - 2*t**2. Solve g(r) = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.3, 2, -0.6727, 0.2, -0.2 in descending order.\nAnswer: 9, 2, 0.2, -0.2, -0.3, -0.6727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 - 5712*o**3 - 10*o**2 + 63*o**2 - 14*o**2 - 21*o**2.\nAnswer: -5712*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4) - ((-84)\/(-8))\/(-7). Suppose -j*w + 660 = -3*w. Suppose -4*a + 2*d + 2*d = -w, 0 = -d + 1. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h + 1. Let b be w(7). Let c be 24\/b*(-10)\/3. Let y = 31 + c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 34001862*n**2. Let o(b) = -2*b. Give o(t(c)).\nAnswer: -68003724*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -13.4. Let d = -44.1 - -43. Let k = s - d. Sort 7\/3, 0.2, k in decreasing order.\nAnswer: 7\/3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445511303 (base 6) to base 14.\nAnswer: 111239d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 6. Let r be q(-6). Suppose r = -u + 14 + 30. Suppose 2908*i = 2845*i + 1386. Calculate the greatest common divisor of i and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 449\/2604 - 5\/868. Let h(r) be the second derivative of 0 + 0*r**2 - p*r**3 - 3*r. Let q(i) = 24*i**2. What is q(h(c))?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3148, 3149, 3150, 3151, 3152, 3153?\n\"Answer: f + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/4, -1, 2\/9, 2\/39 in descending order.\nAnswer: 3\/4, 2\/9, 2\/39, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljlz when four letters picked without replacement from {l: 3, t: 6, j: 1, i: 4, d: 1, z: 5}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 - 81*b + 2 + 5.\nAnswer: -81*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5740.\nAnswer: 1\/5740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -5 (c) -18 (d) -0.4 (e) 5\/3 (f) -0.2 (g) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*h - 69, 0 = -4*h + 2 + 10. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 4\/15, 144, 0.2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 43 = -v, -i - 3*v - 91 = -5*i. Suppose 3*b + i = 52. What is the remainder when 109 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:29 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (10 - 12) + (-30 - 9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -3*g - k*g = -65. Suppose -7 = -4*q + g. Let i(t) = t**2 - 4*t - 4. Determine i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*c = -144*c - 4*r - 12, 3*c - 8 = -r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -3\/8, 0.4, 4\/65?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000073299 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -91*i + 88*i - 2*m, -5*i - 17 = m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.881967 litres to millilitres.\nAnswer: 3881.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22\/5 + 428\/95. Let j = 548\/5 + -110. Put j, -1, d, -3 in ascending order.\nAnswer: -3, -1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((2 - (4 - 2)) + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1 + 8 + 100 - 5 + (0 + 0 - 1)*(0 - 1 - 2))*(-t**3 + 5*t**3 - 2*t**3) in the form k*t**2 + d*t**3 + l*t + v and give d.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345035 and 203095?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - m - 2*m**2 + 6*m. Let u(j) = -3*j. Calculate q(u(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-3))\/((-8)\/((-16)\/75)) and 29\/27.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -331, -351, -369, -385, -399?\n\"Answer: x**2 - 23*x - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 2*b. Let d(l) = -l**2 - 3*l. Let p(o) = 4*d(o) - 3*f(o). Let r be p(-6). Suppose c - 10 = -r*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-26) + ((-3)\/(-36) - 8003\/(-74412)). Let q(b) be the second derivative of 0 - h*b**4 + 1\/90*b**5 + 0*b**2 + 1\/27*b**3 - 10*b. Factor q(s).\nAnswer: 2*s*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 - 5*z - 5. Let d(l) = l**2 - l - 1. Suppose 0 = -2*s - 3*s - 320. Let b = s - -65. What is b*t(q) - 5*d(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 1 o when three letters picked without replacement from oarzzzauodzo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19128 (b) 0.504 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54549, 109057, 163551, 218025, 272473, 326889, 381267?\nAnswer: 435601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3590221 and 2109?\nAnswer: 10770663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187737296*m**4 - 98749123*m**2?\nAnswer: 4505695104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/5, 2, -2, 11 in descending order.\nAnswer: 11, 2, 2\/7, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 - 4.3. Let j = s - -9. What is the nearest to j in 1, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (0 + -3 + -4). Suppose u*q + 1 + 7 = 0. Let r = -8 + 10. Which is the nearest to r? (a) q (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497975\/3291 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:05 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/170 + (22\/10 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooj when three letters picked without replacement from {a: 1, o: 2, j: 1, z: 1, p: 2, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -357934*z**5 + 5369006*z**4 + 11811882*z**3 + 6085010*z**2 + 68*z = 0. What is z?\nAnswer: -1, -2\/178967, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1702839 is divided by 163?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -2, 7, 14, 19, 22, 23?\n\"Answer: -b**2 + 14*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*k - 1273*k + 3 = -2*f, 0 = -3*f + 2*k - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23499.2 + 23536. Are x and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129142.\nAnswer: 2, 7, 59, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a factor of 2037394086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 8. Let t be j(0). Suppose -3*w + 8 = r - 1, 2*w + 5 = 3*r. Suppose -27 = w*k + k. Are t and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 5*y - 9. Let z(k) = -2*k + 4. Let a = 1 + -4. Let o = 2 - a. What is o*z(w) + 2*j(w)?\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 95834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w - 197. Determine i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 391940*l**2 + 783864*l = 0. What is l?\nAnswer: 0, 2, 97983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898664710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 526507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1.09.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231.48 years to centuries.\nAnswer: 32.3148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose o*h - 5*h = -34. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 - y - 1. Let z be c(4). Suppose -6*u + 40 = -4*q - 5*u, -4*q - 3*u - 24 = 0. Let v = z - q. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 7 + 5\/3*i**3 - 15\/2*i**2 + 0*i. Factor b(m).\nAnswer: 5*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10032 + -2?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.057, -1, 1, -3\/17, 3 in descending order.\nAnswer: 3, 1, -0.057, -3\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + i - 40 + 20*i**2 + 21 to the form k*i**2 + u*i + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 + 240.95. What is u rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 6*w**2 + 3*w + 4. Determine o(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 6. Suppose -2*j - 4 = 4. Suppose 0 = -3*x - 2*m + 4, -x + 6*m + 4 = 4*m. Calculate the lowest common multiple of v(j) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Suppose -21 + 9 = 4*b + 5*u, 3*b + 5*u = -14. Let r(v) = 3*v**b + 0*v - 2*v + 2*v. Calculate s(r(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 498661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204796 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*z**3 + 21*z**3 - 136*z**3 + 27*z**3.\nAnswer: -47*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/21 - (-8)\/(-28). Let m be u\/(-400)*5*4. Let d = -7 + 7.01. What is the second smallest value in d, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 4*d. Let s(r) be the first derivative of 1\/3*r**3 - 3\/2*r**2 + 2 + 0*r. Let l(u) = 3*b(u) - 4*s(u). Let c(m) = 17*m**2. Calculate c(l(z)).\nAnswer: 68*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*r + 16 = -33, 0 = -2*j + 2*r - 68. Let p = -85 + 83. Calculate the remainder when 33 is divided by p\/4*(j - -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19909.0000042149 + -19909. What is o rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let j be 4\/2*11\/(-9). Let g = -92\/45 - j. Are g and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n**2 + 3*n - 1. Let m be d(2). Let i = m + 19. Does 8 divide i\/(-15)*(-2 - -22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:07 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -8. Suppose b = 3*m - 3*g, 3*g + 0*g = -m + 8. Let u(s) = 2. Let h(t) = t - 1. Give m*h(l) + u(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*-3 - (-1813)\/74.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14374727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70 - -1a2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/98 and 81\/26.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 at most as big as 45.713848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 3*j**2 - 3*j - 4. Suppose -19 = 6*a - 7. Let p be x(a). Suppose -3*d + 78 = -p. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + ((-60)\/8)\/((-3)\/(-2))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q**2)*(-4*q + 4*q + 3*q) + (q**2 + 2*q**2 - 2*q**2 + (-2*q**2 - q + q)*(-5 - 1 + 4))*(3 - 3 - 2*q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 8*h. Let j be v(7). Let c be (-2 + 1)\/((-2)\/8). Suppose 0 = -c*m + 2 + 14. Solve -j - 5 = -m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, p: 5}. Give prob of picking 3 o.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/194 and 89\/2.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -16*l. Let t(n) be the third derivative of 0*n**3 + 1\/30*n**5 + 0 + 0*n - 16*n**2 + 0*n**4. Determine q(t(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t + 4. Let i = -14 + 19. Solve 0 = -n + i - t, -2*n + 28 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 473061.\nAnswer: 13\/473061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17226.2 * -4\nAnswer: -68904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 - 5*o - 3. Let j(u) = u**3 + 6*u + 4. Let v be -7 + (-4)\/(-2) + -2. Let a = v + 2. Let f(r) = a*z(r) - 4*j(r). What is f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -127 in increasing order.\nAnswer: -127, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-270)\/105)\/((-1)\/7). Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + r + r)*((2 - 1 + 1)*(4 - 6 + 0) + 2 + 2 + 2)*(-19 + 4 + 169) as d*r + g and give d.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8512545?\nAnswer: 3, 5, 71, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193573722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -14, -90, 6, 0.5, -3\/4 in increasing order.\nAnswer: -90, -14, -3\/4, -0.4, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-27))\/((-2)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/4*(4\/32*-1)\/((-15)\/(-120)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -30. Let i be -3*t\/(-54)*2. Let -i - 2\/9*o**2 - 4\/9*o = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n\/(n\/(n\/(n*n**(-2\/7))))))\/(n*(n\/(n**10*n))\/n))\/(n**(1\/4)*n*(n**(1\/7)*n*n)\/n))**(-3\/14) assuming n is positive.\nAnswer: n**(-531\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 4*n - 168 - n**2 + 3*n**2 + 167 - 3*n**3. Calculate r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594919816.\nAnswer: 2, 127, 585551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, -41415, 2 in descending order.\nAnswer: 21, 4, 2, -41415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10175 - -2?\nAnswer: 10177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 605. What is the highest common factor of k and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(432) + -2))**2.\nAnswer: -432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.06 + 4.06. Sort 3, s, 2 in descending order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 75 - 15*f + 7907410*f**2 - 7907411*f**2. Determine x(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3088 and -29\/24.\nAnswer: 9264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*r + 456*r - 245*r - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(1 + (-25)\/(-30)*-2). Put i, -0.1, -5, 2 in descending order.\nAnswer: 2, -0.1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10049482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -41. Suppose m - 5*f = -m + 33, 99 = 5*m + d*f. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -1.5. Let r = 27.2 + -25.45. Which is the third biggest value? (a) f (b) 3 (c) r (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahl when three letters picked without replacement from jpjjplaahj.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae + -2?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 x when three letters picked without replacement from {w: 1, r: 2, x: 2, h: 2, e: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7616)\/416)\/34*-4*1.\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4623, 1624, -1375, -4374, -7373, -10372?\nAnswer: -13371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*q - 19 = 0, 0 = -4*b - 4*q + 13 - 5. Suppose 0 = 27*h - 33*h. Solve b*t + h*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlq when three letters picked without replacement from {l: 5, i: 1, q: 2, g: 5, r: 1, b: 6}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 7) in base 10?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 13.161\nAnswer: 13.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 165*j + 610. Calculate the remainder when r(68) is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 677220041 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**6)\/d*(((d\/(d*d*d**(-12)))\/d)\/d)\/d)\/((d\/d**(-2\/7))\/(d**(-13)*d)) assuming d is positive.\nAnswer: d**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**2*y**2 - 1637741*w**2*y - 652*w*y + w + 4*y**2 - y - 3 wrt w?\nAnswer: -4*y**2 - 3275482*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/319 and -13\/841.\nAnswer: 9251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -612*t**4*x + 8*t**3*x + 2*t*x - 3*t - 517*x - 6 wrt t?\nAnswer: -7344*t**2*x + 48*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) 2\/23 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/120 + l**5\/80 - l**4\/48 - l**3\/24 - 4*l. Solve u(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 30, 96, 234, 468, 822, 1320?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-58 + (-5 - -4))\/1. Let f = w + 163. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -127. What is the remainder when w is divided by 0 - (-3 + (0 - -6) - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*m + 2 = 0, 0*m + 6 = 5*x - 2*m. Suppose -5*j + 84 = 4*k + 9, 0 = -k + 5. Suppose 4*d - j + 4 = y, 12 = 4*d. Sort y, -4, x.\nAnswer: -4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83342118*u + 24848367 wrt u?\nAnswer: 83342118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwll when four letters picked without replacement from {w: 2, d: 1, y: 3, p: 3, l: 7}?\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3657 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(24)\/sqrt(8)*4).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**19)\/g*g)**(1\/10)*g*g**(-8)*g*g\/((g*g**(-30))\/g*g) assuming g is positive.\nAnswer: g**(223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29909 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-588)\/(-910)*-10 - (-6)\/1.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 11*z**2 - 10*z**2 in the form w*z**2 + u*z + k and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/((u*u**5)\/u)*u**(1\/3)*u*u**(-1)*(u*u**(-1)*u)**10\/(u**(-1))**(9\/2) assuming u is positive.\nAnswer: u**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/35)\/((-84)\/49*330\/(-99))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37984170 and 1146.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 10. Suppose -i = 5*l - 76. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 - 64*r**2 + 60*r = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*f - 58 = -7*f, -5*l = -4*f - 326. Suppose -8*c + 18 = -l. Calculate the least common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) + 0 + sqrt(448) + -5 + 2))**2 - (((sqrt(448)*-3)**2 + sqrt(448))*5 + (-2 + sqrt(448))*-3).\nAnswer: -2416*sqrt(7) + 24859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 62, 68, 62, 38, -10, -88?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(-5\/4))\/k)*k)\/(k\/((k*k**(-8)*k)\/k)))\/(((k\/(k\/(k**(-11)\/k*k*k)*k))\/k)\/(k*k*(k*k*k\/k**1)\/k*k*k*k)))**(20\/9))**(2\/13) assuming k is positive.\nAnswer: k**(530\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3898, -7762, -11572, -15316, -18982?\nAnswer: -22558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -107, 52, 3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d - 4. Let c be h(-6). Suppose 5*v = -5*r + 29 - 9, -c*r = 3*v - 9. Solve -2*g = -3*y - r + 16, 3*g + 4*y - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 2. Let g be (-2)\/(102\/(-12) + 8). Suppose 119*d + g = 117*d. Give z(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.169. Let w = 1.431 + j. Is 2\/5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k + 19*k + 195 + 13*k + 4*k + 14*k.\nAnswer: k + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011 (base 2) to base 5.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:38 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118847691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + -3 - (3 + sqrt(75) + 0)**2) + sqrt(75) + (sqrt(75)*-1 + 3)**2 + 2.\nAnswer: -50*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1859447 and 1013836.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -65*s**3 + 6*s**2 - 7*s + 10. Let b = 31 - 26. Let a be o(b). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -24. Suppose 0 = -2*x + w + 61. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2176 (base 16) to base 7.\nAnswer: 33655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 2.4.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -44*x**2 - 5*x - 54. Let w(h) = -11*h + 9*h**2 - 60 + 122*h**2 + 222 + 25*h. Let r(q) = -17*p(q) - 6*w(q). Differentiate r(c) wrt c.\nAnswer: -76*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -387805\/6089 or -64?\nAnswer: -387805\/6089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s*s\/(s**(-4)\/s)))\/(((s*(s*s\/s**(-1\/7)*s)\/s*s)\/s)\/s*s\/s**(2\/9)) assuming s is positive.\nAnswer: s**(-310\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-2 + 5)\/1. Suppose -12 = -4*b + 4*k, -2*b + 21 + 15 = z*k. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (238*m - 147*m + 113*m)*(4*m - 3*m + m + (-1 + 3 - 4)*(3*m - 4*m - m) + 1 + m - 1 + 3*m + 4*m - 5*m) in the form p*m + g + x*m**2 and give x.\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o + 2. Let n be v(-3). Suppose -2*q - n + 13 = 0. Solve 0 = q*p + p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 342?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*f - 26*f**2 + 54*f + 25*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*i - 14 = 0, -24*i + 19*i + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {l: 6, d: 3, t: 2, y: 2, g: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d**2 + 1. What is h(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6929299ug in nanograms?\nAnswer: 692.9299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let g(v) = v**2 + 4*v + 2. What is -4*a(n) - g(n)?\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 28*s**2 + 131*s + 27. Let i be p(22). Solve -i*j = -4*h - j, -5*h - 4*j - 27 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okkv when four letters picked without replacement from {v: 9, o: 3, k: 7}.\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/9 + 47116*a**3\/9 + 62816*a**2\/3.\nAnswer: a**2*(a + 4)*(a + 47112)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**3 - 143 + 5*l**2 + 138 - 19*l**3 + 12*l**3. Calculate p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -192.4.\nAnswer: -19.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let g(c) = -2*c**2 + 18*c. Give m(g(q)).\nAnswer: -8*q**2 + 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4*k - 13. Let r = 9 - 13. Let s be g(r). Let i = s + 17. Solve i*u + 0*u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/54*(-6)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-10) - 5\/(-2). Suppose a*z - 145 = 7*z. Let v = -17 - z. Calculate the lowest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17270\/170 + 19089\/(-189)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -17) + 5 + (-11 - -5 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/19? (a) 5 (b) -0.4 (c) 1\/4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 1. Suppose -5*x + 2*x - 3*m + 48 = 0, -u*x + 39 = -m. Suppose -4*b - 210 = -x*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211221111110000 (base 3) in base 10?\nAnswer: -12193578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*(3 + 4 + -9). Let q(f) = -f**3 + 5*f + 2569*f**2 - 2567*f**m - 3 + 0*f. Give q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -31*c**5\/60 + c**4\/24 + c**3\/6 - 9*c**2. Let o be i(1). Let r = o - -51. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3896 - -3895. Suppose 2 = 4*w - 2. Sort u, 13, w, -4 in decreasing order.\nAnswer: 13, w, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 205 - 205 + 7*z - z**2. Calculate q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3487.4 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35957, 35969, 35981, 35993, 36005, 36017?\n\"Answer: 12*a + 35945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**8)**46 assuming n is positive.\nAnswer: n**414","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*p - 113*p - 100*p + 2 + 371*p.\nAnswer: -23*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 622515 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 32*j - 166. What is the smallest common multiple of 10 and i(-5)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*z + p, -2 = -2*z - 0*z - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 88 - 8 = -k. Which is the second smallest value? (a) -1\/2 (b) k (c) 11 (d) -3\/5 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 6*s**3 + 7 - 6.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475))*-3 - sqrt(171)\/((sqrt(324) - (3*sqrt(324) + sqrt(324))) + sqrt(324) + sqrt(324)).\nAnswer: -89*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12558a - -15?\nAnswer: -125575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(2\/5)))\/(l**2*l)*(l\/((l**(-30)\/l)\/l))**(-8\/5) assuming l is positive.\nAnswer: l**(-282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 728834.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose 411 - 135 = w*t. Suppose 6*j - 2*j - t = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.71517l to millilitres.\nAnswer: 8715.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.159 - -0.011. Let l = -0.02 - p. What is l rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 6*d**2 - 3\/2*d**4 + 0*d - 35\/2*d**3 = 0. Calculate d.\nAnswer: -12, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -1\/4, 5, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/7 or 986.07?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2268, 4555, 6838, 9117, 11392, 13663?\nAnswer: 15930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlcl when four letters picked without replacement from {l: 2, z: 4, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33306.\nAnswer: 2, 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (49 - 72) + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 970918 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osoanos. What is prob of sequence an?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15520663387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-7)\/((-28)\/32) + 2). Let y be (-32)\/(-10)*(-20)\/(-4). Let r = g + y. Calculate the lowest common multiple of 8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - -12?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(116\/(-8) + 1). Let y(z) = z + 12. Let f be y(-6). Let w be (-3)\/2 - f\/(-4). Is w greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 9062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286\/(25740\/2295))\/(1 - 11\/8).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/25 + (-1)\/(-5). Let p be r\/6 + 1\/(-1). Let d(i) = 2*i + 6. Let g be d(-5). Which is the third smallest value? (a) p (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 7*u + 8. Let t be v(-7). Suppose -3*s = -4 - t. What is the remainder when 2\/17 + (-770)\/187 + 11 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/11 + 18*p\/11 - 272\/11 = 0.\nAnswer: -17, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25366*o**4 + 112*o**3 + 2*o**2 - 100158*o - 1156?\nAnswer: -304392*o**2 + 672*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 86.98. Let n = p + 4. Let t(u) = u**3 - 12*u**2 - u + 16. Let a be t(12). What is the nearest to 0.1 in n, 2\/5, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from gop?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -126. Which is the fourth biggest value? (a) w (b) -3\/5 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*h - 187*h + 5700 = 0. Let t = h - 947. Solve -3*m = v - 10, t*v + 5*m = 28 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 918 + -3669\/4. Let z be (-4)\/(-5) + (-4)\/10. What is the second biggest value in x, z, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let o be -2 - (-62)\/56*2. Let c = 13\/28 - o. What is the closest to c in -3\/2, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72cb74 + 1?\nAnswer: 72cb75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*i - 3*a + 3, 4*i - a = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-5)\/(-8))*3\/(-6). Suppose b = 5*l - 2*o - 0, 3*l + o - 9 = 0. Suppose 20*u = 19*u + l. Solve i - 5 = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64668 divided by 5389?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 6. Calculate the remainder when q(-12) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -84, -127, -186, -261, -352?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + v**3 + 0*v**2 + v**2 - 3*v**2. Let p(q) = -q**2 + q + 1. Suppose 5*b + 24 = 9*b - 4*a, 19 = 4*b - 3*a. Determine b*o(g) - 2*p(g).\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3681053.5 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*c + 2218*c + 266266 for c.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 182*o**3 - o**2 - 198*o - 197. Calculate r(-1).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9413 = -2*b - 36*b + 27767. What is the remainder when b is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.2, -1\/2, -0.6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 - 3.9. Let m = -1 + 0.8. What is the third biggest value in -4, 1\/4, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 2 = 2*j, -4*j + 8 = -2*o. Find the third derivative of -155*h**o + 139*h**6 - 20*h**2 - 5*h**2 wrt h.\nAnswer: -1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.83 - -1.02. Let r = -12.19 + b. What is the smallest value in r, 2\/7, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-1)\/x*x)))**(-1\/12)*(x**1)**(3\/13))\/(((x\/x**2)\/x)\/x**(-15))**(-26) assuming x is positive.\nAnswer: x**(52777\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 - 9*o - 12. Let g(a) = -9*a**3 + a**2 + 2*a - 2. Let z be g(1). Let y be s(z). What is the nearest to 0.4 in 1, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1360692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29754, 29826, 29898?\nAnswer: 29970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**3 - 833*u**4 - 4 + 2*u**3 - 14*u**2 + 2 - u**2 + 811*u**4 wrt u.\nAnswer: -528*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11*g = 0. Let w be (-2 + g)*(-6)\/4. Suppose -134 = -5*r + w*c + 3, -3*c + 143 = 5*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-8) - 3)\/((-2)\/(-240)). Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, 2\/119, -1, -0.09 in descending order.\nAnswer: 3, 2\/119, -0.09, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 36 = 3*h. What is the remainder when (-9)\/81 - (-1135)\/9 is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878044?\nAnswer: 2, 31, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -4*f - 6*o - 9, 2*f = -2*o - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (0 - 9) - -1) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 4 - (16 - 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-33)*9\/(-6). Let t(z) = 12*z**2 + 2*z - 2. Let w(o) = -26*o**2 - 5*o + 5. Let p(h) = n*w(h) + 5*t(h). Let m(i) = 5*i**2. Give m(p(x)).\nAnswer: 320*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 118. Give x(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c**2 - 3 - c**2 - 8*c**2)*(3*c + 0*c - c).\nAnswer: 4*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.4 (c) -0.03 (d) -2.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 673109931 and 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36109 by 3.\nAnswer: 36109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v. Let g(i) = -12. Let m(p) = p + 1. Let n(r) = -7*r - 7. Let x(d) = 6*m(d) + n(d). Let b(l) = -3*g(l) + 36*x(l). Give h(b(z)).\nAnswer: 180*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32221 - -92568969.\nAnswer: 92568968.67779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2 + 3*w + 3. Let y(t) = t**2 - t - 1. Calculate m(i) + 5*y(i).\nAnswer: -4*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 8:20 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 6*s - 421 + 315, 2*s - 89 = -5*x - 2*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2 - -0.8. Let p = -6.03 + f. Let h = 0.37 - p. Which is the second smallest value? (a) -1\/2 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z - z - 2*z + (0*z + 0*z + z)*(3 + 0 - 4) + (-1 + 1 - z)*(1 - 4 + 5) - 2*z - z + 2*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v + 24. Let i be l(7). Is -32 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 29*h + 29*h + (-5 + 2 + 5)*(-h**3 + 4*h**3 + 0*h**3) - 3*h**3 + h**3 + 8*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 20*q - 18 = 3*c, -25 = 5*c + 4*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4)*b)**(-43)\/(b**(-2)*b**(3\/7)))**(-20) assuming b is positive.\nAnswer: b**(1285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591345834 to the power of 1\/2, to the nearest integer?\nAnswer: 24318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -78. Which is the nearest to h? (a) -4\/21 (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 2. What is the tens digit of (q\/3)\/(15\/180)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4736*j - 1. Let f(q) = 11*q**2. What is f(b(i))?\nAnswer: 246726656*i**2 - 104192*i + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92351.24 millilitres?\nAnswer: 92.35124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31663 = -4385*t - 60422 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -83*l**2. Let z(p) be the second derivative of -p**4\/6 + 21*p. Determine n(z(d)).\nAnswer: -332*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26037 (base 9) in base 8?\nAnswer: -42172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4469 divided by 1486\nAnswer: 4469\/1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.6 times -16.1?\nAnswer: -3116.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 + k - 1. Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -65759 at most -65681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 72*p**2 + 632*p + 618. What is x(-62)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4334738951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**3 - 4 + 4)*(-j - 2*j + j)*(6 - 3 - 2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23233, 46471, 69711, 92953, 116197, 139443, 162691?\nAnswer: 185941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/2 (c) 0 (d) -4 (e) -0.1 (f) -7\/4 (g) 44\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - m**3 - 347*m**4 + 346*m**4 - 7*m - 3*m as p*m**3 + t + r*m**2 + v*m + l*m**4 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 10298217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 380365902 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 24. Suppose 5661 = -23*v - 5287. Let i = 495 + v. Calculate f(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15008 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/6)\/(6\/(-9)). Let q = 29 + -27. Put q, 4, s in decreasing order.\nAnswer: s, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-4370)*-15)\/((-6)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 252 - 156 = 0. Is q at most as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - (-8)\/20. Suppose -a = -4*i - 10, 5*a + 2*i - 6*i - 50 = 0. Solve -b + x + 4*x - a = f, 3*x = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + 11*l**3\/3 - 9*l**2 + 94*l + 4776. Give i(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 333 = -208 + 61 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/30 + f**4\/12 - f**3\/3 + 39*f**2 - 2. Let j(r) = -4*r**2 + 3*r - 3. Let l = 15 - 10. Calculate l*g(n) - 3*j(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 31 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 153 = 4*h. Solve -3 = 2*l - h*x - 1, 6 = -3*l + 4*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.13 and -2381866533?\nAnswer: 2381866522.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 6*j**2 + 9*j**2)*(0 + 4 - 1).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 42966976?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - b + 13 = 0, -4*b = -35 + 39. Solve -4*f - 2*z + i*z = 19, f + 3*z - 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 382*i = 380*i - 12, 4*d - 22 = 3*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.31778149 rounded to three dps?\nAnswer: -9.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - (-11)\/(-15). Are -1 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2032 in 38\/3, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)\/g)\/(g**24\/g*g*g))\/(g**(-12)*(g**(-2\/27)*g)\/g*g) assuming g is positive.\nAnswer: g**(-511\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2034, -7741, -17112, -30147, -46846, -67209, -91236?\n\"Answer: -1832*o**2 - 211*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1231, 0.1, -20 in ascending order.\nAnswer: -20, 1\/1231, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 869 and 53018085?\nAnswer: 583198935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20772 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797312*t - 2391958*t - 1 + 797319*t + 797325*t + 1.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-5))\/10*0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850009 is divided by 6588?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190128337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -902120.6 - -48262\nAnswer: -853858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/546 and (-21)\/(31500\/1480)*1\/4?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/13, -0.1, -0.05, 0.3 in ascending order.\nAnswer: -25\/13, -0.1, -0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31033817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvvvvvvvdvvvvvvv. Give prob of picking 2 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*z + 69. What are the prime factors of 4\/16 - (-2808)\/z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 + 15*a**2 - 2*a**3 - 197.\nAnswer: -2*a**3 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + 5*l - 5*l)*(2 - 4 + 0) + (-2*l + 2*l + 2*l)*(22 - 76 - 9))*(-l**4 + 0*l**2 + 0*l**2).\nAnswer: 124*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55*z + 35*z - z + 29*z)*(-z**2 + 3*z - 3*z) to the form x + c*z + s*z**3 + p*z**2 and give s.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 51075631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 + 2*g = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 1, -5, 4 in descending order.\nAnswer: 17, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30663 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 1)\/((-28)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3546*z**2 - z - 6503 wrt z?\nAnswer: -7092*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -288*-12.3287\nAnswer: 3550.6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-19 + -26 + 24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-476))\/(3\/63).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:51 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - o**2 - 5*o + (2*o - 2*o + 2*o)*(2*o - 4*o + o) - 250*o**2 + 29*o**2 - 137*o**2 + 2*o**2 - 6*o**2 - 9*o**2.\nAnswer: -374*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*b - 2*s, b + s = -4*s + 2. Suppose 0 = -b*c + o + 16, -8 - 12 = -5*o. Suppose 2*h + h - 291 = 0. Calculate the remainder when h is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 60, 134, 230, 342, 464, 590, 714?\n\"Answer: -v**3 + 20*v**2 - 7*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + -2664a3?\nAnswer: -26650a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316579?\nAnswer: 11, 119689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:01 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047 + -20239?\nAnswer: -22286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2217741*-0.5\nAnswer: -0.11088705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(-2)\/(-8)*-3. Suppose -45 = 41*x - 26*x + 30. Let o(t) = -4*t**3 - 6*t**2 - 6*t + 6. Let w(b) = 3*b**3 + 5*b**2 + 5*b - 5. Calculate g*w(v) + x*o(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/70*55 + 1*10\/4. Calculate the highest common factor of 46 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**2 + m**2 + 6*m**2 - 7*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(1584) + 1) - (sqrt(44) + -3))*-4 + (sqrt(484) - sqrt(484)*2)\/sqrt(11)*-6.\nAnswer: -8 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {p: 1, j: 4, a: 1, h: 5, s: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 2 = 47 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 16*o**2 - 26*o - 26. What is m(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13841 + 13841 + 2314*n**2 to the form s + x*n + a*n**2 and give a.\nAnswer: 2314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3287.777 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 33. Let p be (-1)\/(-3) + (-6)\/d. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*u - u - 4, -4*h = -3*u - 17. Find the third derivative of -36*v**5 - 4*v**5 - 37*v**5 + 13*v**2 + 25*v**h + 11*v**5 wrt v.\nAnswer: -3960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6301 (base 9) to base 16\nAnswer: 120a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1290 - 3738 = 136*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29249027?\nAnswer: 17, 31, 55501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {r: 5, o: 1, x: 1, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1629145 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1598*p - 4640 + 28505 + 24075 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) -1 (b) -229 (c) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, -27, -1 in ascending order.\nAnswer: -27, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -33*p - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - m + 1. Let v be (-1)\/(((-20)\/(-4))\/(-35)). Suppose -5*i = 4*g + 6 + 12, 0 = i + 4*g - 6. Let x = v + i. What is o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, q: 6}. Give prob of picking 1 q and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18 - -1)*6. Let h(p) = -14*p**2 + 26*p - 23. Let u(s) = -5*s**2 + 9*s - 8. Let y(d) = -3*h(d) + 8*u(d). Let n be y(4). Solve 3*w = -n + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/9, 4, -2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.991903 minutes?\nAnswer: 119514180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417794 by -3.\nAnswer: -417794\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.4 + 78.1. Let z = 5.3 + i. Let q = z - 44.5. What is q rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 5. Suppose -7 = 2*t - j, -t + 3*j + 6 - 2 = 0. Let y be z(t). Solve -s + 0*s - 3*h - y = 0, h = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.59165 milligrams?\nAnswer: 0.00359165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 3, -75069 in decreasing order.\nAnswer: 3, -177, -75069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299737 is divided by 8563?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/10 - 12*b**3\/5 - 113*b**2\/10 - 9*b.\nAnswer: -b*(b + 1)*(b + 5)*(b + 18)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.13 + -50. Let g = -0.43 + n. Let d be -1 + (0\/(-1) - 1). What is the third biggest value in d, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23*g\/(g\/(g*g**(-11)*g)))\/((g*g**(-26))\/((g\/(g**(-6\/17)*g))\/g)) assuming g is positive.\nAnswer: g**(652\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 669 - 663. Suppose 2*j - 40 = -4*o, 4*j - 2 = s. Solve 3*n + o + 7 = -t, 0 = 3*n - 3*t + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -482 - -848. Suppose c = 8*m - 2*m. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1.83 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9 + 4 - p**2 + 4 + p. Let k(j) = 12*j**2 - 10*j + 10. Suppose 0*x = x - 10. Determine x*a(v) + k(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212187.4 to the nearest 100.\nAnswer: 1212200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 20. Let g be j(10). Let z be 2 - (3\/5)\/((-2)\/g). Solve l + z = 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.452 times 6998\nAnswer: 3163.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-91))\/((-8)\/(-52)) + -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938871 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1577.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43686\/38801 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4) + 3*(-62)\/(-6). What is the highest common factor of 140 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27282 divided by 27.\nAnswer: -9094\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -21*g**5 - 4*g**2 - 37*g - 4. Let r(l) = l**5 - l**2 - 1. Let f(n) = 4*r(n) - v(n). What is the second derivative of f(k) wrt k?\nAnswer: 500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) + 4\/2. Suppose q*a - 8*a = -53788. Let x = a + -188339\/14. Find the common denominator of x and -77\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {w: 12, n: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 8*d - 800. Is p(46) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and 7\/28 + (-102)\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0315 - 2.6915. Let q = l + -0.958. Round q to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 24*g**2 + 26*g + 1130. Calculate x(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/(-12))\/((-6)\/68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457344 divided by 3?\nAnswer: 152448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 751*b**4\/6 - 1021*b**2\/2 + 1751*b. What is the first derivative of h(v) wrt v?\nAnswer: 3004*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/42, -2, 4, 0.04?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 255468*v**2 - 5511736815*v - 3101015409414.\nAnswer: -3*(v + 578)*(v + 42289)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 246 + 288 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/5)\/(s\/((s\/(s**(2\/3)\/s*s)*s)\/s))*(s**1\/s*s)**(1\/3))**(-6\/5) assuming s is positive.\nAnswer: s**(58\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*t = j - 160*t - 16, -5*t - 6 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2)*2 + -5 + -1*sqrt(12).\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*3200\/(1000\/25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 8*m - 5. Let n be g(-9). Suppose -n*u + 9*u = 35. Find the second derivative of -12*d**2 + u*d**2 - 37*d + 12*d wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.217597l to millilitres.\nAnswer: 217.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -3. Let u be (-187)\/286 - 2\/(-4). Which is the third biggest value? (a) -0.3 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2\/2 + t - 1. Suppose -2*y = -225 + 237, -3*h = -y + 3. Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**2 + 18*z**2 + 31 - 36.\nAnswer: -2*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15411 - -17558. List the prime factors of n.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.964861 times -0.02\nAnswer: -0.39929722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*q + 1, 2*z = -3*z - 2*q + 11. Put -18, z, -3 in descending order.\nAnswer: z, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12223 + 4614. Suppose 30 = -85*g + 80*g, -13448 = -2*t - 2*g. Suppose 2*h - t = 2*w, h - 2*w - n = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/2 - 30*w**4 - 531*w**3\/2 + 6870*w**2 - 15936*w - 23040 = 0. Calculate w.\nAnswer: -15, -1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9502 + -16a?\nAnswer: -a966c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(5\/75). Suppose 2*k - 18 = -b. Calculate the highest common divisor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 4*d + 8. Let c be h(-6). Let v = -18 + c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21283791.\nAnswer: 3, 7094597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9617\/8 - 1200. Let b = -2814151 - -1238225243\/440. Let m = b - 51\/88. Find the common denominator of m and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f + 3*d - 7*d, 5*f + 5*d = 50. Let w(j) = j**3 - 7*j**2 + 2*j - 17. Calculate w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/3))**(-48)*x*x\/x**(-17\/4)*x**(-16) assuming x is positive.\nAnswer: x**(473\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t + 1. Let i(b) = 8*b**2 - 6*b - 6. Let k(m) = 24*g(m) + 4*i(m). Let v(w) = 3*w. Calculate k(v(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/64 (b) -2.1 (c) 2 (d) -1 (e) 5 (f) -5.6 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**5 + 27848*n**2 - 55577*n**2 + n + 28006*n**2 - 67*n**3 wrt n.\nAnswer: 300*n**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 8}. Give prob of picking 1 p and 3 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -722*a + 55811. What is f(77)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 20 (c) -4 (d) 19398 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6630 and 2058343170.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/5 - 273197312*r**2\/5 - 4664798478448884*r\/5 - 9329595864108552\/5.\nAnswer: -4*(r + 2)*(r + 34149663)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4357*j - 1394232. Give f(320).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8421*n**4 - 33*n**3 + 3*n - 5306. Let g(w) = 159999*w**4 - 616*w**3 + 56*w - 100814. Let x(p) = 3*g(p) - 56*o(p). Differentiate x(a) wrt a.\nAnswer: 33684*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -3*n**7\/70 + n**5\/30 + 143*n**3\/2 - 117*n**2. What is the first derivative of p(g) wrt g?\nAnswer: -36*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/5 - (-218491)\/(-41405).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m - 6. Let y(r) = -61*r - 7. Let k(q) = -166*q - 20. Let i(h) = 4*k(h) - 11*y(h). Calculate 7*i(v) - 3*x(v).\nAnswer: 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 496.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -59901.8 to the nearest one thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((900\/(-8))\/15)\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (1 - -4) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**3*w**2 - 2*h**3*w - h**3 + h**2*w**2 - 21*h**2*w wrt w?\nAnswer: 10*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/36456 and -17\/32.\nAnswer: 145824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 2408032 = 5*q + 17*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**4 + 282*n**3 - 59*n**2 + 4*n + 2. Let f(p) = -150*p**4 - 2820*p**3 + 591*p**2 - 42*p - 21. Let l(i) = -21*a(i) - 2*f(i). Factor l(y).\nAnswer: -3*y**2*(y + 19)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(30\/40). Let r(g) = g**2 - 3*g - 5. Let i be r(4). Sort n, i, -2.\nAnswer: -2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*s - 15, 2*v - 2*s + 6 = -4. Let f = v + 5. Put f, 2, -4 in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -591.86 - -592. What is the third biggest value in 2, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16 and -9\/211926044.\nAnswer: 847704176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 5*k**2 - k + 6. Let s be c(5). Which is bigger: 15\/7 or s?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/(-87) - 96\/(-9). Let v = 1\/16 - -183\/16. Calculate the common denominator of (-216)\/(-270) - 23\/d and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373296 and 26664.\nAnswer: 373296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 145217?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let z be p(-5). Suppose -z*g + 323 + 225 = 0. Let o = 21 + g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356*f**2 + 7*f**2 + 2 - 2.\nAnswer: -1349*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2)*(-9)\/(-6). Suppose 2*w + 2*c = 6*w - 34, u*c + 27 = 2*w. What is the lowest common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 179 + 89. Calculate the remainder when 8922 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(-7*(-56)\/(-490))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/7? (a) -142 (b) 0.2 (c) 0.4 (d) 1\/6 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 2112?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 46 + 9*r)*(0*r**2 + 0*r**2 + r**4).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = 0. Suppose -16 = -2*c - 4*d, 0 = d - i*d - 3. Suppose 6 + 4 = c*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4423 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 105 = 3*i, 3*i + 35 = 4*i + 2*l. Let n be 84\/i + (-6)\/(-10). Solve 4*c + y + 2*y + 13 = 0, -c + n*y = -8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 148\/36)*-21*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 7, e: 3, a: 2}. What is prob of picking 1 a and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/10*63\/(-693) and -117\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 30, -5, 0.086, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*h + 5*h + 125, -17*h + 22*h = 3*p - 347 + 82 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by -76.\nAnswer: -109\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 divided by 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(1539)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - (2 - 0) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 4*r + 4*r + (2 + 0 + 0)*(2*r - 4*r + r) - r + 3*r - r + 1 + 82*r - 8*r - 4 to x + y*r and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = 5*r - 16, 2*t + 4*r = 24. What is the remainder when 3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55936898 rounded to four decimal places?\nAnswer: -0.5594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 - -8. Let i = 3.2 - w. Let u = 5 - i. What is the second smallest value in -0.3, 2\/25, u?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - x + 2 = 0, -5*x + 5 = -2*o - 2*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 + (2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x + 1. Let q(f) = -f - 4*f + 9*f. What is the units digit of q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*c + 810 = 191*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1106*h*o**2*x**3 + 8*h*x**3 + 105*o**2*x**2 - 5*o*x**3 - 5*o*x wrt h?\nAnswer: 1106*o**2*x**3 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 114*a - 103*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 291, 280, 267, 252, 235, 216?\n\"Answer: -c**2 - 8*c + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 31497.33 to the nearest 10.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 16. Let v be a(7). Suppose -o + 78 = -v. List the prime factors of o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.062 and 5?\nAnswer: 5.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -15 + 6 + 2 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*-2)\/sqrt(10) - (-4 + -1*sqrt(76)\/sqrt(4)).\nAnswer: 4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(108)\/(2*sqrt(12)))*-3 - ((sqrt(117) + sqrt(117) + 4 + -3*sqrt(117))*-2)**2.\nAnswer: -532 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: (1*18\/30)\/(6\/(-8))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*f**2 - 60*f**2 + 48*f**2 + (-f + 2*f - 3*f)*(0*f + f + 0*f) - 4*f + 4*f + f**2 - 52*f + 0*f**2 + 65*f + f**2.\nAnswer: 50*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0 + 6*u**2 + 5*u**2 - 12*u**2 + 1. Suppose p = 6*p - 15. Let y(n) = -2*n**2 + 3. Give p*r(t) - y(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746*u = 753*u - 21. Find w, given that -6\/7*w**2 + 0 - 4\/7*w - 2\/7*w**u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/9 and 91\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18*(-4635)\/(-412))\/(2\/(20\/65)).\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36526242 is divided by 699?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/6)*8\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*k**2 + (7*k - 9*k + 6*k)*(79*k - 17621 + 68*k + 17622).\nAnswer: 591*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3657422 + 606\nAnswer: 3658028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -9, 50, 147, 282?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2\/((-4)\/2)). Suppose -y*z - 3*h = -19, -z - 12 = -5*h + 11. Let c(i) = i**3 - i**2 - i + 22. What is the lowest common multiple of z and c(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 <= 13321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6449, 6441, 6437, 6437, 6441, 6449, 6461?\n\"Answer: 2*r**2 - 14*r + 6461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 5, p: 12}. Give prob of sequence poa.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907804 is divided by 34209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {a: 7, s: 2, p: 2, w: 1, r: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5489, -21875, -49149, -87281, -136241?\n\"Answer: 5*g**3 - 5474*g**2 + g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05646 less than 35180?\nAnswer: 35180.05646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1248604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 2*a**3 + 34 - 4*a - 23 to v*a**3 + l*a + k*a**2 + s and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*g - 1927 = -w, -1129 = -3*w - 5*g. Calculate the remainder when w is divided by 116.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m - 22*m + 21*m - 59 in the form p*m + f and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - n**5 + n**5 + (4*n**5 - 5*n**5 + 2*n**5)*(-2 - 2 + 3) + (3 - 3*n - 3)*(2*n**4 - 3*n**2 + 3*n**2).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 2. Calculate g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**3 - 16 + 2 + 24843*t**4 - 25278*t**4 - 24*t**2 wrt t.\nAnswer: -10440*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2527)\/(-35) - 1\/5. Suppose -o - 16 = -4*m. Solve -5*k - 5*i = -3*i + m, 5*k + 16 = 4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163*((-22)\/(-10) + 18\/(-90)).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 2*g + 3*g)*(-g**2 - 3*g**2 + 2*g**2)*(3*g + 5 - 5).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = 14, -2*c + 4*w - 16 = 0. Let n be (40\/4)\/(c\/(-7)). Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (396\/(-15))\/((-282)\/(-1880)). Is w at most -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let z be 0\/((13\/65)\/((-2)\/(-10))). Let b(g) = -7 + z + 4 - 16*g. Determine q(b(k)).\nAnswer: -512*k**2 - 192*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 0)\/(1\/(-2819)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 373\/4. Let q be 10 - -1 - (6 - -2). Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a*a\/(a*a\/((a**(-2\/9)\/a)\/a)))\/(a*a\/a**(1\/4)*a*a*(a\/(((a\/((a\/a**(-6))\/a)*a)\/a)\/a*a))\/a) assuming a is positive.\nAnswer: a**(-323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 51*u**2 + u - 31. What is w(51)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/77 + -296\/1001. What is the closest to 1\/4 in 5, a, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 502592.0022 - 502729. Let t = k + 137. Round t to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*s - 20 = 0, -6*s = -2*k - 2*k - 40. Let q(g) = -19*g - 67. Give q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/37 (b) -2\/5 (c) -3\/8 (d) 0.03 (e) 2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 + d**4\/4 + 11*d**3\/6 - d**2 - 12*d. Let z be l(5). Factor -6\/7*s**2 + 6\/7*s + 2\/7*s**z - 2\/7.\nAnswer: 2*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:49 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11045, 11215, 11499, 11897?\n\"Answer: 57*i**2 - i + 10989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 104\/1128345?\nAnswer: 104\/1128345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -863 (b) -5\/6 (c) -3 (d) 3\/4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-52\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163890.\nAnswer: 2, 3, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6036 = -3*t, 0 = 5*f + 4*t - 11437 + 1377. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15321 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -226360 (base 12) to base 16\nAnswer: -86478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88.7 and 44.5605.\nAnswer: 3952.51635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96\/191 or 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 1 + 0*p - p)*(-3*p**3 - 2*p + p**3 + p).\nAnswer: -4*p**4 - 2*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-3504\nAnswer: -700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:59 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 49519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.02 (b) -1\/43 (c) 2\/13 (d) 4\/3 (e) -0.41 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 15898?\nAnswer: -63592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2756)\/(-265))\/(39\/150).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87883062 by 2.\nAnswer: -43941531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17288165 is divided by 1544?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 4. Let c(a) = a**2 + 3*a**2 - 1 + 7*a - a**3 + 2. List the prime factors of c(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5951930 divided by -5893.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3\/2*u**2 - 1\/4*u**4 - 4 + 2*u + 2\/3*u**3. Let s be p(3). Solve -1 = -o - s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.1 - -5.39. Let a = o - -0.51. Let h = a + -19.96. What is h rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, -241, -1, 2\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/55933, 9\/14, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387706299.\nAnswer: 3, 2269, 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(847)*1 - sqrt(847)) + 2 - sqrt(847) - sqrt(847) - sqrt(84)\/(sqrt(192)*-2 + sqrt(192)))**2.\nAnswer: -159141\/16 + 261*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 224 - 97 = 0. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58d2e0b + -3?\nAnswer: 58d2e08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 4\/21*i**3 - 1\/21*i**4 - 1\/210*i**5 - 3 + 1\/420*i**6 + 0*i + 7*i**2. Let n(t) be the second derivative of q(t). Factor n(w).\nAnswer: 2*(w - 2)*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/18)\/4 - 166\/747.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4637, -4885, -5285, -5825, -6493, -7277?\n\"Answer: 2*f**3 - 88*f**2 + 2*f - 4553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9434 and 396708.\nAnswer: 406142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:23 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 28*t. Let m(l) = -3*l**2 + 100*l + 70. Let f be m(34). Let w(c) = -7*c**2 + 0*c**2 + 4*c**f + 0*c**2 - c**2. Determine p(w(k)).\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6338 - 3754. What is the greatest common divisor of n and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + 1. Give q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2 - 216*z + 2. What is q(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 - 27*u**4 - 96*u**3 - 168*u**2 - 144*u - 48.\nAnswer: -3*(u + 1)*(u + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2502 and 111638962?\nAnswer: 1004750658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-60)\/(-30))*46\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - -2*(18\/12 - 1). Let u(b) = -5*b**3 + 7 + 9*b**2 + 0 + 0 + 4*b**3 - 7*b. Give u(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 11.61959?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**0*f))**(2\/23)\/(f**8\/((f**(-2\/15)\/f)\/f*f*f)) assuming f is positive.\nAnswer: f**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 13. Let x = -16 - r. Let q = -4 - x. What is the smallest value in 1, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:05 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/((-1)\/(-3)). Let l = o - -3. Let d(k) = -2*k**3 + 2*k**2 - k - 1. Let v be d(-1). Sort -5, v, l in ascending order.\nAnswer: -5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j + 2. Let g(b) = -b**2 - 2*b + 7. Determine g(w) - n(w).\nAnswer: -w**2 + 10*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36974*l**3 - 11631*l**3 + 44085*l**3 + 24846*l**3.\nAnswer: 94274*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eevq when four letters picked without replacement from {q: 5, v: 4, e: 5}?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7154 = 8*t + 17966. Let b be 0 + (-3 - t\/4). Calculate the highest common factor of b and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110331033 - -30?\nAnswer: 110331123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, u: 17}. What is prob of sequence ucuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 - 46*k**2 - 206*k - 62. What is the thousands digit of q(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1903 - 1888. Solve 18*m - 9 = t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871336783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q**2 + q - 2. Let z be r(2). Differentiate -1 + 4 + 3*d**2 - 2*d**2 + z wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 2}. What is prob of sequence ffk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7.81*-1703.45\nAnswer: 13303.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/68 + (-574)\/(-34). Solve 0 = -3*v - n + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 50 = -3*u + 646, 456 = 2*q - 2*u. Let d = q + 77. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(9) + sqrt(18))\/sqrt(3))\/(6*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 30483*j - 10288728.\nAnswer: 3*(j - 10488)*(j + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -439208, -878424, -1317652, -1756898, -2196168, -2635468, -3074804, -3514182?\n\"Answer: -f**3 - 439209*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 902612*c**3 - 56*c + 83837815.\nAnswer: 2707836*c**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -1. Let p = -2880\/11 - -262. What is the third biggest value in p, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 + 1268*a**2 + 4133*a**2 - 86 + 206 + a as r*a + z*a**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38433 + -24017. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*u**2 + 2*u**3 - 119*u - 84*u - 37*u - 200 - 4*u**3 = 0. Calculate u.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 - 3*x**4\/4 + 3*x**3\/2 + 4*x**2 - 8*x. Let n be j(8). Solve 0 = -4*z - 2*t + 5 + 7, -5*t = -4*z - n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/30*10\/30*-6)\/(1\/11).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 2*i - 0*i. Let c(a) = a**3 - a**2 + a + 24. Let t be c(0). What is the highest common factor of i and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32803 divided by -32803?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 22*g + 25*g.\nAnswer: 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/734 and 69\/22.\nAnswer: 8074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*(-10)\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302200230130 (base 4) to base 8.\nAnswer: -62405434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r + 4, 3*r = 4*q - 34. Suppose 2*m + 2*p = q + 1, 2*m = -4*p + 4. Calculate the greatest common factor of m and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/8 - 249*p\/8 + 1547\/2 = 0.\nAnswer: 28, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13 + 13 - 1 - 13*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*k + 39, -t - 5*k - 3 = -k. What is the derivative of 0*r**2 - t - 6*r**2 + 24 - 2*r**2 wrt r?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -9 (c) -19\/40 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40 and -41\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, 2\/11, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 18*m - 16 = 0. Let x = m + 0. Let a = -7 - -19. Calculate the least common multiple of x and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbiib. What is prob of sequence ib?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7669 at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -2*w**3\/3 + 61*w. Let i(d) = 15*d**2. Determine z(i(r)).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 44*a - 11850\/7.\nAnswer: -2*(a + 75)*(a + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7b + aa1?\nAnswer: 192c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 4. Let g be 4\/(-70)*5*-3*(-35)\/135. Which is the nearest to g? (a) 0.2 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 - 2. Let r be p(-3). Let g be (r - 1) + (-1 - 15). Let l = g + 44. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 12 - 0. Suppose -c*p - u = -82, -u + 101 = 4*p - 9. Solve -4*n - 3*y - y - p = 0, 30 = -4*n - 5*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.302, 20?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12529*u - 6263*u - 6268*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16931 and -5.\nAnswer: -84655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39001525*k**2*r**3 - k**2 - r**3 - 28*r**2 - 2520148 wrt k.\nAnswer: -78003050*k*r**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 7*z = -7924. List the prime factors of z.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 50. Let x = g + 15. Put 1, 2, x in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 2 (c) -88.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.27 and 2419211808428.\nAnswer: 2419211808431.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p - 1. Let u(r) = -3*r**4 - 5*r**3 + 25*r - 5. Let j = -11 + 6. Let s(t) = j*g(t) + u(t). Find the second derivative of s(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62488124 divided by 17.\nAnswer: -3675772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33545754895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1102409877 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2)\/b)**39\/(b**4*b**(-1\/6))*(b*b**7)\/(b*b*b*b\/((b*b**0)\/b))*(b\/b**(-4))\/(b**(1\/4)\/b) assuming b is positive.\nAnswer: b**(-865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -34. Suppose 2*g - 10 = l. What is the units digit of g\/1*1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67449 is divided by 16862.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 1195*c - 8533 - 8199 - 818 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -591522 smaller than -591524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 60*l**2 + 425*l + 609. Give s(-52).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58441481233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 31996.\nAnswer: 287964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111101111110 (base 2) in base 10?\nAnswer: 40830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 33*r + 36.\nAnswer: -3*(r - 12)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*a + 3608 + 15416. What is the greatest common divisor of a and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**9\/56 + 7*l**5\/60 + 6*l**2 + 18. Let h(d) be the second derivative of u(d). Find the third derivative of h(g) wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-210)\/(-150) - (1 + (-6)\/10). Let u(f) = 2210*f**2 - f + 1. Let k be u(h). What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 246\/(-36) + -1. Let i = -1.7 - -2.2. Which is the closest to 2? (a) 2 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 - f**4\/2 - 2*f. Let d be x(-6). Suppose h - 3*h = d. Solve 5 = v + z + 4, h = v - 2*z - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*p + p - 428, 0 = -3*p - 3*q + 309. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 51*q**2 + 98*q + 2. Let i be a(49). Suppose -5*u - 2*y - 8 = 0, -3*u + 9 = -i*y + 1. Solve -8*h - 36 + 12 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 56 - 166 + 2*t + 57 + 53. Let w(p) be the third derivative of -p**7\/315 - p**4\/12 - p**2. Let z(r) be the second derivative of w(r). What is z(x(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -43. Let d be (2\/4)\/(t\/10). Which is the second biggest value? (a) -1 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10036 and 10.\nAnswer: 50180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7054, -7026, -6984, -6922, -6834, -6714?\n\"Answer: d**3 + d**2 + 18*d - 7074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -1\/2 (c) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.16 (b) -1\/6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -7. Suppose 4*f = -0*f + 16. What is the lowest common multiple of f and (-18)\/o*22\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -103. Suppose -7*n = -9*n - 58. Let b = s - n. What is the second biggest value in 1, 3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 143322*f**2 + 859986*f - 1290006.\nAnswer: -2*(f - 3)**2*(f + 71667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 4*m + 18. Let p be g(3). Let j(b) = 6*b - 25. Let v be j(p). Solve 14*y = v*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7))\/(3595\/(-719)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*y - 813 - 239, -4*y = -16. Let r = z + 262. Solve r*h + 18 = 9*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1) + (0 - 0))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 17. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.631 - 0.162.\nAnswer: 35.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2221.19 - 20\nAnswer: -2241.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztiyq. Give prob of sequence zy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*v + 5, -3*a = -4*v + 14 + 13. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -558*a - 345. Let m(s) = 112*s + 69. Let n = 24 + -19. Let j(u) = n*v(u) + 24*m(u). Differentiate j(r) with respect to r.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 677*d**3*r**3 - 381*d**3*r - d*r**3 - 2*d*r wrt r?\nAnswer: 4062*d**3*r - 6*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191153, -191073, -190993?\nAnswer: -190913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose z*l - 1 = -t, -6*l - 2*t + 4 = -l. Suppose -4*u - 44 = -2*h, 0 = -0*h - 3*h - 5*u + 66. What is the highest common divisor of l and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m**3)*(-3 + 3 - 1)*(-3*m + m + 3*m) - 7*m**4 + 15*m**2 - 15*m**2.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-6)\/36)\/(((-544)\/(-264))\/34).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 5 + (-1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4901*m**2 - 14669*m.\nAnswer: 9802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2045 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 14\/(-3)*(3 - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-224)\/(-77))\/(-16) - (-7570)\/11.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-3)\/(-3) - -199)*4. Let b = 1822 - k. What is the first derivative of -29 + 6 - b*r + 1076*r wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690344006.\nAnswer: 2, 3, 13, 19, 31, 36793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - z + 19617, 0 = 5*b - 133*z + 128*z - 19605. What are the prime factors of b?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 15*l + 24. Give d(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 96 (c) 1212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 10*z**2 - 3*z**2)*(z**2 - 4*z**2 + z**2) + z**4 - z**4 - z - 3*z**4.\nAnswer: -13*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872, -875, -878, -881, -884?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = -329*r - 88*r + 53*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -15. Let j be (-4 + 3)*(b + 0). Suppose -2*k - 2*y - 12 = 0, 4*k + k + 2*y = -18. Is j > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d**2 - 44*d + 50*d - 126*d**2 - 13*d + d**3.\nAnswer: d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v. Let m be (((-120)\/9)\/5)\/(2\/(-6)). Let y(u) = 2*u**2 + 10*u**2 - 27*u**2 + m*u**2. Determine n(y(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/169 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -17*m**5 + 512\/3*m**3 - 2\/105*m**7 + 0*m + 16\/3*m**4 + 0 - 275*m**2 - 16\/15*m**6. Factor v(o).\nAnswer: -4*(o - 1)*(o + 1)*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 399 - 419. Calculate the lowest common multiple of y and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 146416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 76 - 52 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 11:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 442504 less than 442503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/13376 and 39\/23408.\nAnswer: 93632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8736 + -8731. Solve 3*s - 6 = 15*v - 10*v, -5*v - b*s = -10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 - 66\/(-30). Suppose 0*t = -w*t. Suppose t*a**3 - 12 - 3*a**3 + 0*a + 2*a + 10*a + 3*a**2 = 0. What is a?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djhqpqrp. Give prob of sequence rhpp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d - 10*d - 2*d**5 - 3*d**5 wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let i(w) = -8*w + 8. Let z be 6\/14 + (1 - (-12)\/21). Calculate z*i(a) + 18*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 + 562*t**2 + 10073*t\/3 - 3920 = 0 for t.\nAnswer: -1680, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*x = -12, 4*s + 2123 = -x + 2132 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 54. Suppose -o = -s - 0*s. Suppose -5*u + s = -4*u. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 220 = -3*x + 2*b, 4*x - 5*b - 441 = 0. Suppose -6 = 2*u, -u + 30 = 2*p + x. Is p > 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15395.922 milliseconds to minutes.\nAnswer: 0.2565987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -135. What is the third derivative of -2*w**c + 703*w**5 - 2*w + w + w**2 - 747*w**5 wrt w?\nAnswer: -2640*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l, -4*u = -6*l + 3*l - 11. What is the second derivative of 514*j**2 + 6*j**5 + 7*j - 514*j**u wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35232689*l**3 + 119*l**2 + 3677*l.\nAnswer: -211396134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9137*t - 9140*t + 27413*t + 4 - 9137*t.\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*g**5 + 3*g + 46 wrt g?\nAnswer: 560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 6 = -5*h + 5*o, -h = -4*o + 24. Let z = -2 - h. Let f = 0 + z. Solve -5*m + 2*l = 18, 18 - f = 4*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228000 divided by 1307?\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -1\/6*f**3 + 0 + 1\/12*f**4 - 1\/40*f**6 + 0*f + 5*f**2 + 1\/60*f**5. Is 21 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 25 + 28 = t, -3*t - 15 = -3*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38298601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7517*g - 813. What is the units digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2025, 3548, 4555, 5046, 5021?\n\"Answer: -258*n**2 + 2297*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 3, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1225 - 1224.8803. What is u rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:03 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337836 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6 = -8*m. Suppose 3*j = m*r - 1417, 0 = 5*r + 5*j - 543 - 3037. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3 + -9 - -4) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:52 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -7?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r + 6. Let g(u) = -7*u - 11. Let j(n) = 3*n**2 - 2*n - 2. Let l be j(2). Let d(x) = l*g(x) + 11*q(x). Let y(w) = 2*w. What is d(y(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 5*n - 5*g + 60, 2*g - 9 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 12 = 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22\/249 + 2756\/747. What is the common denominator of 12\/24*0 - 121\/(-24) and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280495 and 504891.\nAnswer: 2524455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 975 in decreasing order.\nAnswer: 975, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 27. Let o(p) = 71*p - 8. Let x(n) = -18*n - 1. Let z(u) = 2*o(u) + 8*x(u). Determine z(s(d)).\nAnswer: 10*d + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 23 = 3*q - 2*q, -2*q = 3*p - 90. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6f2 + -5?\nAnswer: a6ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 615253002 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 15658846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -31.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d**25)\/d**(1\/2))**47)**(-2\/31) assuming d is positive.\nAnswer: d**(-2585\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39479, 78991, 118503, 158015, 197527?\n\"Answer: 39512*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -12, -49, -112, -207, -340, -517, -744?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 55 + -9 + -11 + (12 + 1 - 16).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*n - 2 = 0, -r = -3*n - 16 + 12. What is the biggest value in 1\/3, r, -18, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Suppose -5*o = -5*f + 45, -o - 6 = -2*o - 4*f. Let c = o + a. Put c, -2, -1 in descending order.\nAnswer: -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4692297.\nAnswer: 18769188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Suppose -3*n = -4*n - 5*u + 115, -u = i*n - 503. Suppose -5*l + 9 - n = -3*b, -37 = -b + 3*l. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -462059 or -461323?\nAnswer: -462059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.05 - 16. Let j = -14558.6 - -14559. Put d, -14, j, -3\/5 in descending order.\nAnswer: j, d, -3\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63098, 2, -3 in decreasing order.\nAnswer: 2, -3, -63098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/3 - 2727839*a\/3 - 1363919\/3 = 0.\nAnswer: -1363919, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 7*v + 23)*(347 + 352 - 699 - 2524*v) in the form u*v**2 + n + i*v and give u.\nAnswer: 17668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.04, 1\/5, -0.4, 0.23 in descending order.\nAnswer: 8, 0.23, 1\/5, 0.04, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1711 and 2?\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189154 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(12\/7)*l\/l**17*l*l assuming l is positive.\nAnswer: l**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 22\/3 (c) 1\/9 (d) 5 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -37) + (-25 - -4) - (1 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1088) - sqrt(272)*-2.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/3 + i - 96. Let p(u) = 96 + 414*u + 120 - 216. What is m(p(q))?\nAnswer: 828*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m - 1961. What is the remainder when c(168) is divided by 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 623, -1, 9142, 1 in ascending order.\nAnswer: -1, 1, 623, 9142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 1:34 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*a - 214 + 1118, 5*a = c + 251. Suppose 3*k - 2*m = -91 + 1189, -2*k - m + 732 = 0. Let s = k + c. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -2\/15*x**3 - 2\/5*x**2 - 34 - 2\/5*x. Factor r(w).\nAnswer: -2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 + 8 - 4) - (-1 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.239*0.08.\nAnswer: 0.01912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*c - 10 = 329*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*a - 14 - 2257*a + 14 + (1 - 1 - 2)*(0*a + 2*a - a).\nAnswer: -2486*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -579 (b) 33 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.123704 and -4.\nAnswer: 0.494816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*h**2 + 19 + 149*h**2 + 5 + 138*h - 278*h**2 - 138*h.\nAnswer: 15*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40493131 to the nearest integer?\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 98d (base 15) to base 3\nAnswer: 2221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqm when three letters picked without replacement from {h: 9, m: 1, q: 2, l: 4}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -2*z. Calculate the smallest common multiple of z and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277917748 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.278 + 0.322. Let k = j - 41.4. What is k rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 2}. What is prob of sequence gt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p - 60*p - 66*p**3 + 89*p - 1.\nAnswer: -66*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*t**3 - 63*t**3 + 113*t**5 - 112*t**5 + 2*t**5 + 3*t**5 - 4*t**5 + (0*t**2 + 0*t**2 + t**2)*(-3*t**2 + 2*t**3 + 3*t**2).\nAnswer: 4*t**5 - 121*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22329 by 9.\nAnswer: -2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 81*m - 4*m - 9039. Calculate the smallest common multiple of m and 43.\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22401\/1179*(-26)\/(-19).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730 times -79?\nAnswer: 136670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + (-8)\/(-3). Find the common denominator of 37\/18 and (t\/7)\/(4\/(-462)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/2 - 4*l**3\/3 - 3*l**2\/2 - 4*l - 1. Suppose -2*u + 5*x - 7 = 4, 0 = -u - 4*x + 1. Is 8 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8090.7 - 8091. What is the third smallest value in -0.09, 0.1, 4, d, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2953*p - 1810*p + 1811 - 1813 - 6826*p.\nAnswer: -11589*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/((-3)\/36) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 + 376709*l\/3 - 3013864 = 0. Calculate l.\nAnswer: -376733, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -35*v**2 - v + 5. Let u(q) = 36*q**2 - 6. Let o(i) = -5*r(i) - 4*u(i). What is the second derivative of o(y) wrt y?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 76*i**2 - 134*i - 235. Give r(74).\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 117*f**2 + 1081*f + 1185. Determine q(-107).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.47 + -4.67. Let b = -5.84 - i. Let d = 1.6 + b. What is the nearest to 2\/7 in -5, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s + 14*s - 5*s in the form f*s + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = -33. Let a(c) = -2*c - 12. Let o be a(w). Is o > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -29*h + 8. Let d(t) = -65*t + 15. Let g(j) = -4*d(j) + 9*z(j). Let y = 22 - 13. Let v be g(y). Solve v*o - 1 - 8 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110430, -219959, -329478, -438981, -548462?\nAnswer: -657915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n - 1006. What is k(-47)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m**2 - 5*m - 1. Suppose -7*d = 370 + 1. Let i = d - -57. Determine z(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**2 + 3*p. Let g(c) = -969*c**2 - 152*c. Give 3*g(d) + 152*w(d).\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y - 2. Let k(b) = 5*b**2 + 8*b - 5. Let m(j) = -k(j) - 3*v(j). Let g(d) = 2*d - 4*d + 5 - 3*d - d**2. What is 13*g(q) - 6*m(q)?\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - w + 154*w**4 - 21*w**2 + 3 + 2*w**3 - 1 - 152*w**4 + 4 to the form q*w**3 + f*w**4 + y + x*w + t*w**2 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (2006568\/(-828))\/62?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1042 + 82339\/79. Find the common denominator of -1\/632 and b.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57 (b) 2 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-24)\/21*(-42)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. What is the biggest value in z, -6, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46868*h**2 + 48984 wrt h.\nAnswer: -93736*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 44*w**2 + 122*w + 40. Give q(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*u + 11*u + 0*u)*(0*u + 2*u - u) + (-9 - 3*u**2 + 9)*(-7 + 1 + 2) + 2*u**2 - 4*u**2 + 0*u**2.\nAnswer: -71*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 3292*l - 51 + 28.\nAnswer: -3292*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 - (13 - 10695\/30)\/(3\/4) is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 15*r - 4*r**2 + 15*r**2 - 7*r**2 - r**2 + 18 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/(20\/20)*-261. Suppose -t + 85 = -l. Solve 2*r + f = -l, 5*r = 2*r - 3*f + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 3. Let q(o) = -11*o - 17. Determine 34*m(g) - 6*q(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -672520 rounded to the nearest 1000?\nAnswer: -673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*n + 941 = 0, -4*w - n = -w - 567. Calculate the remainder when w is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(2*-11)\/(2*(-3)\/1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 2*n**5\/5 + n**4\/8 - n**3\/2 - 5*n. Let f(c) be the second derivative of l(c). Does 11 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(-73251)\/10852\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 79. Determine k(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - y - y)*(5 - 2*y - 2 + 0*y) in the form g + r*y**2 + k*y and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24103 + 24103.2. What is the second smallest value in -2\/13, -5\/26, s, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:20 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3961*g**2 + 912*g**2 + 2832*g**2.\nAnswer: 7705*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159991370 divided by -77.\nAnswer: 2077810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 + 3 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {h: 1, b: 3, g: 2, p: 1, n: 3, m: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (892*s - 275*s**2 - 892*s)*(-3*s + s + 3*s)*(16*s - 10*s - 51*s) to m*s**3 + y + v*s + t*s**2 + a*s**4 and give a.\nAnswer: 12375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11010110212222 (base 3) to base 14\nAnswer: -4118d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*(b\/b**(2\/5))\/b)))\/b**(-4) assuming b is positive.\nAnswer: b**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)\/((f*f*f**(-4\/3))\/f))\/((f\/(f*f**(4\/3)))\/(f*f*f**(-5))) assuming f is positive.\nAnswer: f**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) + (75\/(-30))\/(14\/(-4)). Is b less than -2\/13381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(-1495*t + 5641*t + 2556*t)*((-5*t + 4*t - t)*(-2*t**2 - 4*t**2 + 5*t**2) + 4 - 4 + t**3).\nAnswer: -20106*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdgqqqggggqhqhqhg. Give prob of picking 2 g.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51167 + -51166.9999870985. What is i rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 5. Let r(h) = -21*h - 11. Let m(w) = -2*r(w) - 5*u(w). Suppose -j + 3*z + 13 = 6*z, -5*z + 7 = -2*j. What is m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l**(2\/13)\/l)*(((l*l*l**2)\/l*l)\/l)\/(l\/l**6))**(-20) assuming l is positive.\nAnswer: l**(-740\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15066, 29953, 44840, 59727, 74614, 89501?\nAnswer: 104388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 2812 = -d, 2*d + 4*b - 5743 = -231. Calculate the lowest common multiple of d and 277.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 176.086. Let c = 50 - q. What is c rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 258, 257, 242, 207, 146, 53?\n\"Answer: -v**3 - v**2 + 9*v + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1833)\/(-78))\/(((-285)\/950)\/((-12)\/(-10))).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1443 and 51506.\nAnswer: 5717166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/(4\/10). Let f(x) = x**3 - 3*x**2 + 3*x - 2. Let p be f(b). Solve 9 = -4*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85693.2568 to the nearest integer.\nAnswer: -85693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -135*(-1 - 0). Let q be (0 - 10)\/((-4)\/22). Suppose 5*g - q = -4*o, 2*g = -0*g + 4*o + 50. What is the greatest common factor of j and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -63. Calculate the greatest common factor of 208 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**18*s*s*s\/(s\/(s\/s**(1\/7)*s))*(s**7\/s*s)**40)**(2\/59) assuming s is positive.\nAnswer: s**(4226\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-10)*(-198)\/(-15). What is the common denominator of 55\/122 and 165\/w + (-165)\/(-16)?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, c: 9, u: 1}. Give prob of picking 2 l and 1 u.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -5*i, o = 3*i - 4. Suppose 3*m = -l + 19, l - 2*l - m = -9. Let v be (-2)\/((13 - l) + -2). What is the smallest value in o, -1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/19)*f*f*(f\/(f*f\/(f\/f**(-8))))\/f)**14)**(-38))**(29\/2) assuming f is positive.\nAnswer: f**(-77952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*s - 10 + 40 = 0, b = -5*s + 20. Find the second derivative of n**2 + 19*n - b*n**4 - n**2 + 20*n**4 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192001750 and 1775.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - t**2 - 3*t + 4. Let i be k(1). Suppose 4*m + f + 96 = -3*f, 0 = 4*m + i*f + 99. Let z = 24 + m. Solve -z*u + 2*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1336*u**3 - 1336*u**3 + 16*u**4)*(-14 - 1 + 4).\nAnswer: -176*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9803 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2 (c) 0.006 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 22. Let i(a) = -a**2 - 12*a - 2. Let s be i(p). Let w = 10 + -6. Solve -w*x + s*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04051 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*g + 30*g - 7*g - 59*g**2 as v + w*g + f*g**2 and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t - 71 - 730020*t**3 + 730023*t**3 + 16)*(-t - 4*t + 4*t)*(4 - 4 - t).\nAnswer: 3*t**5 - 11*t**3 - 55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 8. Let o be (-2)\/(-4)*(-4 - -4). What is the second derivative of o*h**3 + w*h + 0*h - 2*h**3 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 0.1, -360\/13, -3, -2\/5?\nAnswer: -360\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from mvvvvmvvvvvv.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*g**3 - 75*g**3 - 80*g**3 - 82*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/8 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(0 - u + 0) + (u - 3 + 3)*(-5 + 3 + 0) + 2*u - 4*u + u + 0*u - u + 3*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Suppose 2*j = 5*h - 17 - 65, 3*h - 4*j = 38. Let m be h\/(-21)*42\/(-9). Let c(f) = m*f - 2*f - f - 4*f. Give s(c(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, k: 3, i: 1, f: 1, a: 6}. What is prob of sequence baia?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.9. Let g(t) = t**3 + 35*t**2 - 40*t - 142. Let j be g(-36). Put 1, x, j, 0.4 in descending order.\nAnswer: j, 1, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61110 and 31248?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 27. Suppose -11 = 5*z + u + 3*u, -z + 3*u = -i. Calculate the least common multiple of z and -6 + 11 - (0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 23*h**2 + 14*h + 293. Calculate j(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352864 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2253.03 - -2253. What is the closest to 1 in y, 3, -0.11, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 775*n - 488. What is d(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28018.5 years in millennia?\nAnswer: 28.0185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 17. Let i = -36 + o. Which is the nearest to 0.1? (a) i (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 15. Suppose n*z - 1180 = -z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p**2 - 66*p + 3. What is m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a tonne in kilograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (-13)\/((-78)\/(-60)))*1. Find p such that -11*p**5 - 48*p**3 - 21*p**5 - 6*p**n + 52*p**4 + 34*p**5 = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79871999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 + -420. Suppose -3*f + 48 = 3*i, -5*f = m*i + 9 - 50. Solve -3*j + 2*t = -10, t = 4*j - 7*j + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 170817163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 25*f**2 + 3. Let g(a) = 1061 + 2*a - 533 - 528. Give g(p(j)).\nAnswer: 50*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*142.3\nAnswer: -28.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1252 from 2.7681212.\nAnswer: 2.6429212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 3. Let r be 2\/8 + (-57)\/(-12). Let w be 8\/((r\/3)\/(-5)). Let d = w + 10. Let c(v) = 24*v + 14. Determine d*o(q) + 3*c(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42952 and 8.\nAnswer: 42952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 39528?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*h + 22, -4*w = 22*h - 25*h - 71. Let f(d) be the second derivative of 10*d**2 + w*d + 0 - 5\/12*d**4 + 0*d**3. Suppose f(g) = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152281506 - 0.15\nAnswer: -152281506.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/21*33\/495. Let j(q) be the first derivative of -2\/21*q**3 + 4 + 3\/28*q**4 + 0*q + 0*q**2 - w*q**5. Factor j(h).\nAnswer: -h**2*(h - 2)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + (2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3205.39 centuries?\nAnswer: 320539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987536, -3950179, -8887918, -15800753, -24688684, -35551711?\nAnswer: -48389834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 370757.063\nAnswer: 370756.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -1135, -1266, -1399, -1534, -1671, -1810?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 2 - 1 + 4 = -p - 1, -16*b - p = p + 34 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.95752 + 24.\nAnswer: 26.95752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-5) - 4\/(-10). Let q be 1\/(3\/(12 - 0)). Solve -2*b + q = -2*n, 0*b = y*b - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((2*sqrt(360))\/sqrt(9))\/(sqrt(648) - ((sqrt(648) - (sqrt(648) + 6*sqrt(648))) + sqrt(648)) - sqrt(648))*2 + 1.\nAnswer: -1 + 4*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 1. Let z(o) = -7*o + 8. Let n(m) = -7*m + 7. Let p(f) = -4*n(f) + 3*z(f). What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1525166, 1525191, 1525214, 1525235, 1525254?\n\"Answer: -t**2 + 28*t + 1525139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*x = 335*x - 9*w + 40, 2*x - 5*w + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49407, 98817, 148227, 197637?\nAnswer: 247047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a. Suppose -3*o = -3*g + 6, 3*g - 4*o + 6*o - 1 = 0. Let d be z(g). Is (-1)\/(6\/d + (-18347)\/(-45955)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x - 9. Let j be n(-6). Suppose -14 + 11 = -g. Find the first derivative of 0 + 4*q**3 + 9 + 3*q**j - 2*q**g wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27113 from 192.969.\nAnswer: 27305.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {b: 2, f: 2, w: 8, m: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -6. What is the units digit of (-1590)\/m + (-6)\/33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 12, -0.05, -107, -3, -1.3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*x + 4*v, 4*v = 5*x - 23 - 16. Calculate the greatest common divisor of 28 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:19 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*k + 6, c - 4*k - 3 = -0. What is the highest common divisor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 99\/(-132) + 10519\/4. Is 2 - (0\/7 - v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478933483.\nAnswer: 7, 449, 152381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 > 2547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3432 and 141362520?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.599 and 21.89?\nAnswer: 56.89211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1729284 and 1144699.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*l = -y + 5, 3*y - 5*l = 19. Suppose 0 = -4*m - 5*t + 275, 3*t - 205 = -y*m - 2*t. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4956736 millennia?\nAnswer: 495.6736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 3. Give q(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 23. Let h(k) = 6*k**2 - k - 1. Let c be h(-2). Solve w*x - x = c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 6*x**2 - 4*x - 1. Let y be h(5). Suppose 3*q = 4*b + 91, -y*q + 2*b = -q - 83. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436\/436*(-4)\/(-46)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 - 3*p**3 - 9*p**2\/2 + 9*p + 2. Let y(l) = -l**2 - 5 + 3 - l + 3 + 0*l**2. Let s = 63 - 81. Give s*y(n) + 2*q(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - (-1 - 2 - -3). Let l = -7 - g. Suppose 3*t - 54 = -i, 10 + 5 = l*i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001011 + 0?\nAnswer: 100011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9851 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*k - 2*w, -14 = w - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 292042131 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4355 + 64056. What are the prime factors of m?\nAnswer: 227, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1071774*j*l**2 - j*l + 2*j - 20102863*l**2 wrt j?\nAnswer: -1071774*l**2 - l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 390*z**4 - 190*z**3 - 71209*z - 137*z**3 - 71*z**5 + 468*z**2 + 71101*z.\nAnswer: -3*z*(z + 3)**2*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5100 and 141500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand 51 - 114 + 54 - 11*a**4 + (6*a - 4*a + 0*a)*(-4*a**3 + 3*a**3 + 2*a**3) - a**4 + 0*a**2 + 0*a**2 - 5*a**4 + 0*a**4 + 3*a**4.\nAnswer: -12*a**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3 + 2 - 263*q - 527*q. Let m be r(2). Let f = m + 31493\/20. What is the common denominator of f and -81\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(1\/44). Let g be (-1 + 1)\/(-3 - -1). Suppose 3*v + 3*h = 0, -4*h - 4 = 3*v - g. Solve y - z = -5*a, 8 = y - 5*y + v*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -1 + 0 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 1. Suppose y = -4*w - 5, -32*w - 3 = 2*y - 31*w. Let v(m) = -8*m**3 - 1. Calculate y*v(z) - 3*k(z).\nAnswer: 5*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85648 and 3872816?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/6*(-404)\/(-60398)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 2. Let g = t + -6. Solve -7 = -2*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, -0.09159, -18, 5, -0.2, -3, 2\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17169*a + 17011*a = -2212 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 3. Let k be x(-1). Solve 3 = -2*p + 5, k*f - 9 = -3*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25921290.15 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -544 - -542. Let r = 2 - -2. Which is the nearest to -1? (a) r (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7878988217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 1 - (-4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25104347, -50208695, -75313041, -100417385?\nAnswer: -125521727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4484 is divided by 749?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21842, -21896, -21992, -22136, -22334?\nAnswer: -22592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 3\/5 (c) 0.2 (d) -19.02 (e) -3 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 2.3. Which is the closest to z? (a) -2\/5 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274316 - -233701. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-182)\/(-20))\/(86\/215)*(-56)\/(-42)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566870*i**6 + 3274920*i**2?\nAnswer: 68024400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39063 is divided by 1801?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 117 - 29 = 0. Let f be (14016\/365)\/(8\/20). Let q = n + f. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -42. Let r = 28 - n. What is the common denominator of (3\/2)\/(r\/(-29)) and 99\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 10\/35*23\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 3. Let g(w) = -w + 1363560. Calculate g(q(k)).\nAnswer: -2*k**2 + 1363563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 7*z**2 - z**2 - 20*z**2 - 7*z + 3*z**2.\nAnswer: -3*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897, -7853, -26955, -64275, -125885, -217857, -346263?\nAnswer: -517175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/((l\/(l*(l\/((l*l\/(l\/l**(-39)))\/l)*l)\/l*l*l))\/l))\/l*l*l*(l\/(l**(1\/11)\/l))\/l*l assuming l is positive.\nAnswer: l**(527\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 29*f + 35. Let o be a(30). Suppose -o*v = 2*v - 924. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 16. Let c be (91\/z)\/((-1)\/1038). Let x = c - -72059\/16. Find the common denominator of x and 61\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 496*o - 1051*o + 529*o + (2 + 2 - 7)*(3*o - 5*o - 6*o) to z*o + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 14*w + 31. Let u be p(-11). What is the units digit of (-99)\/(-18)*(-1 - u - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1482 - 1408) + (2 - 12)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 358 + -359. Let p(s) = -3*s - 12. Let o be p(-11). Sort 2, o, y, 5 in increasing order.\nAnswer: y, 2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 3*y + y, 5*y - 2*b = 4. Suppose 4*a - 3*m = 15, y*a + 7 - 16 = 3*m. Solve 0 = -f + a + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3791 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from qqcpkktctkccckkkc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(252) + (sqrt(252) - (4 + -3*sqrt(252))) + -4 + 1*sqrt(252)*5 + 3)**2.\nAnswer: -1080*sqrt(7) + 25281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 6. Suppose 39 - 9 = 5*q. Let u be l(q). What is the third derivative of b**u + b**2 + 3*b**6 - 2*b**6 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -27*j**5\/80 + 23*j**4\/4 - 5*j**3\/2 + 89*j + 1. Factor a(f).\nAnswer: -3*f*(f - 10)*(9*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, t: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**8\/56 + k**4\/3 + 13*k + 4. Let n(b) be the first derivative of s(b). Find the third derivative of n(d) wrt d.\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*t**2 + 3939*t - 3939*t + (t + 11 - 11)*(2 - t - 2) + 0 - 3*t + 4*t**2 + 0.\nAnswer: -27*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*l - 2*f, 2*f + 2 = -8. Let x = l - -4. Let w = 4 - 1. Solve w*s - q + 0 + 1 = x, 0 = s + 4*q - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/630 - q**4\/126 + 5*q**3\/21 - 6*q**2 + 2*q. Factor m(b).\nAnswer: -2*(b - 3)*(b + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34202042 (base 5) to base 14\nAnswer: 7c7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (151 + -146)\/(10\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36651134\/13281 - 8279\/3. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -27. Suppose 3*k - j*k + 3 = 0. Suppose -i = k*i. Solve i*z - 3*a + 19 = 2*z, 2*z = 5*a - 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -157? (a) 6 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjypjnvyjnvpyq. Give prob of sequence yvjj.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/189355 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -12, 103, 268, 483, 748, 1063?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*z + 2441 + 962 - 301. Sort 0, -2, z, -5.\nAnswer: -5, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13885.4412ns in days?\nAnswer: 0.000000000160711125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*b + 9 = -0*w, -3*w + 5*b + 4 = 0. Suppose 28 = 3*t + 3*y + 10, 0 = 4*t + w*y - 23. Solve c - 21 = -t*v + 5, v = -c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 199730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 63*x - 81. Let o(r) = -62*r + 83. Let d(j) = 5*o(j) + 6*q(j). Is d(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 25 = -5*a, 5*a - 7 = -9*x + 6*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*h**2)*(24 - 24 + 4*h).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2375 - 7126\/3. Suppose 2*y + 4*f = -1380, -4*y + 347 = 3*f + 3092. Let z be (-1)\/2 + (-366)\/y. Is z at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8559090599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(13*c + 7*c - 11*c) - 3*c**2 + 0*c**2 + 0*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/4 - 3\/2. Suppose -36*s + 145 - 1 = 0. Solve 3*b - 5*t - h = 0, 8 = -s*b - 5*t - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7823.\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 2*g**4 - 4*g**4 + (-2*g + 2*g - 4*g**3)*(-3*g - 2*g + 3*g) to p*g**4 + c + q*g**3 + z*g + v*g**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21256*t + 3634788. What is z(-171)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.0140089.\nAnswer: 0.000700445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 19655857540?\nAnswer: 19655857541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 9*f - 2. Let u be y(8). Let g(i) = -i**2 + 4*i - 3. Let w be g(u). Let t be (6\/15)\/((-3)\/w). Solve 0 = x + t*l + 1, 2*x - 5*l = 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 29386 (c) -5 (d) 2\/85 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4. Let n be (-5 + 0 + p)\/(-2). What is the units digit of (n\/2)\/((-2)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7041 = 341*z + 130*z + 15567 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 90 = -8*f. Solve b = -7*b + f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146 is divided by 433.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 6. Let m be c(9). Let f(t) = 3*t**2 - 4*t + t**2 - 2*t**3 + 2 + 1 + t**m. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 530 = 5*j + 4*s, s = -3*j + 318. Let y = j - 111. Let n(g) = 2*g**2 + 6*g - 4. Give n(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 621*k**2 + 546*k + 47277. Calculate h(622).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7263 - 7268. What is the closest to 6 in c, 1, -153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.215 litres to millilitres.\nAnswer: 117215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j, -4*j = -f + 3*f - 394. Suppose f = 25*s - 1163. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 13. Give b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 14234442401?\nAnswer: -14234442344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11060838 + -11060851.000046. Let b = 13 + r. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 202442265?\nAnswer: 202442264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2. Let y = -530\/3 + 177. Let r(b) be the second derivative of -y*b**3 + 0*b**2 + 0 - 2*b. Determine r(v(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 6*k - k)*(k + 3*k + 35*k**3 - 2*k).\nAnswer: 35*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**2 + 2*y + 656. Determine l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let p(t) = -t. Calculate 6*c(u) + 13*p(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -3)\/(26 + -29). Let k(q) be the second derivative of 9\/20*q**5 + 2*q**2 + 0*q**3 + 4*q + f*q**4 + 0. What is the first derivative of k(m) wrt m?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2*2\/(-12). Put y, 2\/3, 4 in increasing order.\nAnswer: y, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 - 51293*t\/6 - 1609776.\nAnswer: -(t + 189)*(t + 51104)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - 96. Suppose 63 + 133 = 3*s + u, -o*s + 4*u + 112 = 0. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 1208, 1798, 2374, 2930, 3460, 3958?\nAnswer: 4418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (1875\/(-1125)*1*-5 - 6\/(-9)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a8b (base 16) in base 11?\nAnswer: -10295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*((1 - 1 + 2*q)*(-5 - 4 + 5)*(-2*q**2 + q**2 - q**2) + (0*q + q + q)*(-3*q**2 - 4*q**2 + 4*q**2) + 3*q**3 - 3*q**3 + q**3).\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.216468\nAnswer: -0.0865872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100546 to the power of 1\/2, to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11087 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(9\/2 + -2). Let w(p) = -5*p - 3 + 7*p - g*p. Let r(i) = 8*i + 8. Give 5*r(m) + 14*w(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j + 27 = 0, -2*b - 70*j + 21 = -71*j. Is b <= 156\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d - 200843 = 205426. What are the prime factors of d?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116512147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**8\/336 - k**7\/105 - k**6\/40 + 2*k**5\/15 - k**4\/6 + k**2. Factor u(y).\nAnswer: y*(y - 2)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-9)\/2700)\/(4\/20).\nAnswer: 2\/15","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 {a: 2, l: 5, h: 1, k: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**5 - 70486*y**4 + 2*y**3 + 178*y + 47.\nAnswer: -40*y**3 - 845832*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5840 in -0.1, -198, 0.4, -5\/6, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6096 * 5.\nAnswer: 23.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 14 - 1)*(-x**3 + 5*x**3 - x**3)*(-2*x + 1 - 1).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u + 46. Let h be s(-11). Let p = h - -27. Solve i = -2*i - z - p, -5*i - 3*z - 13 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -0.36, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + s - s - 7*s**2 + 0*s. Determine n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 3. Let l be h(1). Let f(u) = -3*u**2 + 11*u - 4. Let t(d) = d**2 - 2*d - 1. Let j(m) = -f(m) - 2*t(m). Give j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.4516 to the nearest integer.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/6 + 6*q**2 + 3*q. Suppose 2*z + 5*t = 3, 0 = -z + t + 20 - 8. Give n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.1 - -12. Let x = m + -3.9. Let i(z) = z**2 + 5*z - 8. Let r be i(-6). Which is the biggest value? (a) r (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:37 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 121166.19s?\nAnswer: 2019.4365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7839 + -7839. Let i(g) be the third derivative of -7*g**2 - 8*g**3 + 0 + 3\/20*g**6 - 3*g**4 - 1\/70*g**7 - 1\/20*g**5 + p*g. Factor i(y).\nAnswer: -3*(y - 4)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 685740*l + 16458912.\nAnswer: -2*(l - 342894)*(l + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176186959 and 6695?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, b: 5, i: 1, r: 1, z: 5}. What is prob of sequence rr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 20*b + 208. Suppose 5*c - 55 = -5*g, 0*c + 2*g = -4*c + 54. Calculate the remainder when s(-9) is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, -13, -16, 5, -2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*c + 29*c - 31 + 139*c**2 + 33*c - 142*c**2 - 110*c to the form k*c + j + h*c**2 and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 37 = 3*t - 5*t, -3*t + 5*x = -59. What is the remainder when 27 is divided by ((-22)\/(-6))\/(t\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.2 - -13. Suppose -3*q + 3*k = 3 - 0, -5*q + k = 21. What is the closest to m in -0.1, q, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1435.37 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 46*d**3 + 6*d**3.\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + y - 11. What is d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) -4\/3 (c) 1\/5 (d) -1\/2 (e) -5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8 and -63\/436?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/(-30)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (96498\/7148)\/(9\/68)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 44*y**2 - 2*y. Let n(k) be the first derivative of -191 - 3\/2*k**2 + 0*k. Give n(q(t)).\nAnswer: -132*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(-2) + 0. Suppose -87 = -9*r + 75. Let h(t) = 7*t - 127. Let n be h(r). Which is the closest to n? (a) -5 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 930 = -5*u, 13*r = 3*u + 18*r - 524. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:14 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 17*q**2. Let s(o) = 145*o. Give s(w(v)).\nAnswer: 2465*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3\/7, -17, 4939\/8 in increasing order.\nAnswer: -17, -3\/7, 13, 4939\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from uuyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998191 is divided by 16363.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 12 = -w. Suppose -2*a - w*t - 15 = -4*a, -2*a = -3*t - 9. Suppose -12 = -k - 2*k. Solve a = k*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -32316?\nAnswer: 32311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29353702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 665 = -3*x, -2*x = 4*q - 0*x - 532. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160613 = 331*l - 10531223. Calculate the highest common divisor of l and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r**2 - 41*r**2 - 37*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z + 95. Let u(h) = -5*h + 47. Calculate 3*q(v) - 5*u(v).\nAnswer: -2*v + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(4\/52). Let h = a + 15. What is the first derivative of -89*q**2 + 89*q**h - 6*q**4 + 2 wrt q?\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.461 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2) - (-3)\/(-2). Suppose -w*n + 20 = 2*n. Suppose -u = n*u - 50. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1729, -3311, -4879, -6433, -7973, -9499?\nAnswer: -11011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-104 + 18 - 4)*(3*d + 2*d**3 - 3*d) as t*d + j + u*d**2 + y*d**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112267238 to the power of 1\/2, to the nearest integer?\nAnswer: 55788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 2*l - 34 = 5*s, -4*s + 5*l + 31 = 0. Let o(v) = 2*v - 11. Let x be o(19). What is the greatest common divisor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:33 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11116, 42721, 95406, 169177, 264040?\n\"Answer: r**3 + 10534*r**2 - 4*r + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009988 rounded to 7 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -133?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -2.9636?\nAnswer: 4.0364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:01 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1322 divide 20939780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1186bcd + -4?\nAnswer: -1186bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -11a76?\nAnswer: 11a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -197. What is the remainder when (-1)\/(0 + (-4)\/j) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2762752\/63 + 43852. Calculate the common denominator of ((-9)\/30)\/(434\/(-1395)) and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5521 - 116131\/21. Let p = j + -11\/14. What is the common denominator of ((-3)\/(-45))\/((-4)\/950) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/40 + 5*k**4\/24 + 2*k**3\/3 + k**2 + 62*k. Suppose a(n) = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 46881.\nAnswer: 328167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 109964 = -3*j, 4*j + 5*v - 146597 = 2*v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 75 = -0*z. What is the remainder when z is divided by (6\/6)\/(1\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3884 - 3881. Let a be (-2)\/10 + 32\/10. Solve -i*r + 17 = -4*j, -3*r + 8*j - a*j = -19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 24. Let w be g(-7). Solve -2*i - w = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300211621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 162*t + 5. Let d(k) = 2349*k + 72. Let l(u) = 5*d(u) - 72*r(u). Let s(g) = g**2. Determine s(l(b)).\nAnswer: 6561*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 522 + 1550 = 0. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/45*9\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100062 is divided by 91579.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104228166?\nAnswer: 2, 3, 7, 449, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25475 - 0.0617497981.\nAnswer: -25475.0617497981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/(-2) + 1. Let b = -1230 - -1237. Let r = 33 - 31. Solve -b - i = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*w - 69 = -2*n + 6*n - 29, 5*w - 3*n + 15 - 45 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32058 and 39456.\nAnswer: 512928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 at least as big as -1530978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 4*f + 8621, 0 = 2*x + 2*f - 17242. List the prime factors of x.\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 36*a**2 + 30. Let q be v(18). List the prime factors of (-7845)\/(-20)*40\/q.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:26 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8697303995*v + 7 + 14 - 8697303993*v.\nAnswer: 2*v + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6682 and 1950?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k*k**(-1\/11)*k))*k)*k**(2\/7)*k**(2\/37)\/k*k*k**(2\/3)*k)**(-7\/11) assuming k is positive.\nAnswer: k**(-832\/13431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11831, 11798, 11765?\n\"Answer: -33*k + 11864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -88. Let c(f) = 602*f + 613*f + 1 - 1233*f - f**2. What is c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*u**2\/11 + 60*u + 34\/11 = 0.\nAnswer: -1, -17\/313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3, -12, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(5\/(-30)*1). What is the greatest common divisor of 126 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19736701 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(539) + 4))**2.\nAnswer: 224*sqrt(11) + 2220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsczcsmqzqscqszyzz. What is prob of picking 1 y and 1 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32\/6381 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30081793068.99999578 - -30081793531. Let o = 462 - r. What is o rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15967564 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itifdf. What is prob of sequence idi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44402*f - 1334*f**2 - 1323*f**2 - 44402*f + 3986*f**2 - 1328*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by -1 + 6\/(-3) + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 5*f**2 + 4*f**2. Let t(b) be the first derivative of -2*b**2 + 5. Give t(a(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*r + 8, d - 2*r - 2*r - 16 = 0. Solve d = 10*b - 46 - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1927 divided by -156.\nAnswer: 1927\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 0.66. Let i = -84779 - -84779.70014. Let f = z + i. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2056 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246202 divided by 22?\nAnswer: 11191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*c = 788 - 777, 4*c = -4*p + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + 12c?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/20)\/(4\/10)*-4. Suppose -12 = -r - 3*r. Find the third derivative of q*c**r - 2*c**3 - 41*c**2 + 33*c**2 wrt c.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x**2 - x - 10. Let i(m) = 5*m**2 - m - 5. Let h(g) = -7*i(g) + 3*u(g). What is h(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922193 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 - -1630. What are the prime factors of y?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 9*j**2 + 0*j**4 + 0*j**3 + 0*j**7 + 0*j + 0 - 1\/336*j**8 + 3\/20*j**5 + 0*j**6. Find the third derivative of y(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 20. Suppose -123 = -r*y + y. Calculate the remainder when 77 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**2 + 5*p**2 - 5*p**2)*(-55 - 12 + 114).\nAnswer: -376*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 5*a + 232 = 0. Solve -z = -3*z - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 97*z - 132. What are the prime factors of q(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 5. Let p(u) = 11*u**2 - 9. Let z = 1 - 1. Suppose k = -3 - z. Let w(b) = k*p(b) - 5*s(b). Differentiate w(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17533 + 34476. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose -j*b + 20 = b. Suppose 4*p - 37 = -g - 4, -b*p + 10 = -5*g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**3 - 9*k**2 + 5*k + 2. Let g(c) = 9*c**3 - 9*c**2 + 6*c + 2. Give -2*g(o) + 3*t(o).\nAnswer: 3*o**3 - 9*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 59*y - 28*y.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 0.3 (c) -14\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1174 + 15388.4.\nAnswer: 16562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(3078) + sqrt(3078)))\/((sqrt(8) + sqrt(288))*6).\nAnswer: -18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 12 = -1. Is m greater than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 + 183. Find the third derivative of -100*y**2 + 30*y**2 + 2*y**5 - 4*y**5 - i*y**5 wrt y.\nAnswer: -1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410571?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 23*f**2 - 4*f + 106. Give u(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 669792 + 73704 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - z + 4*z + (-20 - 17 + 8)*(-3 + 3 + z) as g + a*z and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 2*m - 3. Let n(c) = 4*c**3 - 4*c**2 + c - 1. Let b be n(2). Let f = b + -8. Let h = f + -12. Determine z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z + 2. Let u be d(0). Find the third derivative of -30*p**u + 38*p**2 - p**5 - 17*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2048.\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46062944 divided by -3.\nAnswer: 46062944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 56600*u**3 - 4 - 393*u**3 + 9.\nAnswer: 56207*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.23713*1.6\nAnswer: 0.379408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398709\/28 - -14238. Calculate the common denominator of 9\/8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and -0.0157806.\nAnswer: 0.0005838822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9613246 is divided by 92?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -667720677 rounded to the nearest 10000?\nAnswer: -667720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107616 and 7084248?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921255519?\nAnswer: 3, 307085173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57173 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 t(k) = -k**3 + 4*k**2 + 3*k + 2. Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f = -42*f - 207 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/329431 and -10\/7.\nAnswer: 2306017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*r + 23 = 0, 4*z - 55 + 75 = -4*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04312954659931 take away -7?\nAnswer: 6.95687045340069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**3*z**3 - j**3*z**2 - 2*j**3*z + 24*j**3 - 22*j**2*z**2 - 2*j wrt z?\nAnswer: 60*j**3*z - 2*j**3 - 44*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140 = -10*c + 1050 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 236*f**2 - 5*f + 5. Let w(t) = 3*t**3 + 341*t**2 + 7*t - 7. Determine -7*a(x) - 5*w(x).\nAnswer: -x**3 - 53*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -620, -1020, -1188, -1118, -804?\n\"Answer: d**3 + 110*d**2 - 737*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)\/((-2)\/10). Suppose y + t = 4*r, -5*r - 1 = 3*y - 3. Let i = y + 13. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 + k + 3. Let t be g(3). Let h be (-64)\/t - 16\/120. Let r(p) = p**2 + 2*p + 1. Give r(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 9, e: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 156*r - 6017. Calculate a(-71).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -r + 308, 9 = 4*q - 11. Calculate the remainder when r is divided by 91.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.01 (b) 1\/6 (c) -563671 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 148*t + 3692. Give p(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-25 + 1)) + -1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from spssvlssvsavssspslss.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 52*j - 4 = -3*h, 4*j - 3*h = -14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2043 or 2706?\nAnswer: 2706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5786873.\nAnswer: 331, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.7548 (c) 4 (d) -55.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*r**3 + 1645445*r**2 + 60002796*r wrt r.\nAnswer: -216*r + 3290890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22526, -90077, -202660, -360275?\nAnswer: -562922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/140)\/((-1476)\/4305).\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -4 - (-88)\/33*213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 170560, 170558, 170556?\n\"Answer: -2*i + 170562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1602 and 23\/6.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**7\/210 + q**5\/30 - 4*q**4\/3 - 9*q. Let k(y) be the third derivative of b(y). Differentiate k(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 792 = -97*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -231143 + 23544. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {z: 1, k: 19}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*x + 3*f - 11, -4*x - 2*f = 2. Let c be (x - 0) + 34002 + 1. Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + g - 42 = -2*g, 5*g - 7 = 2*n. Let h(x) = x**3 - 8*x**2 - 9*x + 2. Let a be h(n). Solve -a*p + 8 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837821 equal to -1837817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -13938495\nAnswer: -13938497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15\/2)\/(z\/(z\/((z\/(z\/(z\/(z**(-8)*z)*z)*z))\/z*z*z))*z)*z**(5\/4)*(z\/((z\/z**(3\/10))\/z))\/z assuming z is positive.\nAnswer: z**(-319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*(-2 - (-9)\/6). Let b = 12 - i. Solve -o + b = -3*w - 3, w - 5*o = 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = -u - 3*u. Suppose -14*o + 146 = -u. Calculate the greatest common factor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227162361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*g + 180*g = 6, -3*g = -3*o + 78. What is the remainder when 188 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - i + 11, 0*n + 5*n + 10 = 5*i. Find the third derivative of -3*o**n - o**2 + 3*o**2 + 5*o**3 wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/26 and (90\/(-25))\/((-39)\/((-7020)\/3144)).\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 5, s: 2}. What is prob of picking 1 i, 1 s, and 1 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/(0 - 2). Let x be (3 + -2)*(1 + 1). Suppose 15 - 3 = 4*k. Solve x*g - i = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -481, -887, -1455, -2185, -3077, -4131?\nAnswer: -5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 7578263.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 0*r - 4*r**4 - 2*r - 467 + 8789*r**2 - 8789*r**2 + r**3 as s*r + u + y*r**2 + h*r**3 + x*r**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.055078 millennia?\nAnswer: 8055.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 14. Determine u(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2033003?\nAnswer: 2033001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/5))**(-2\/15)*m*m\/m**4*m*m\/(m**(-2\/13)*m) assuming m is positive.\nAnswer: m**(-379\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*20\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 14*p + 16. Let s(m) = 4*m**2 - 29*m + 31. Let z = 6 + -11. Let w(o) = z*a(o) + 2*s(o). Factor w(i).\nAnswer: -2*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407656483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 74\/75?\nAnswer: 74\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1040553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419*p + 9 = -1410*p. Which is greater: -9\/193 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1872) - (sqrt(1872) - (0 + 1 + sqrt(1872)))**2).\nAnswer: -48*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -2\/391 (b) -138\/31 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*d - 20 = 214*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7450.9 - 6920. Let w = q - 531. What is the nearest to 3 in w, -3\/2, -2\/3, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/18900*(-1053)\/(-13)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:49 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -3851, -7130?\nAnswer: -10409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 1. Let g be b(5). Suppose -3*w = -w + 4. Let y be w\/(-3) - (-128)\/6. Calculate the highest common divisor of y and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (72\/20)\/((-18)\/(-120)) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/18*(((-5)\/(-2140))\/((-48)\/288))\/(-1).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(6\/5))**(-43))**2)**(-34) assuming w is positive.\nAnswer: w**(32164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttxtx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -317. Let i = -24 + 42. Let x = -10 + i. What is the lowest common multiple of x and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389381 is divided by 86?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620684494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = -2*c, -70*c + 9 = -3*u - 73*c. Solve -j = 2*p - 3, 12*j - 15*j + 3*p - 9 = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-36)*-3)\/(11879\/(-193458))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - k**2 + 4*k + (-k - 2*k + 5*k)*(1 - 1 - 2*k) + k - 582781*k**2 + 1165566*k**2 - 582779*k**2 - 301.\nAnswer: k**2 + k - 301","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c**2 + c**2 + c**2)*(-c - 4 + 4) + 0*c + 0*c + 2*c**3 + 207*c**3 + 277*c**3 - 383*c**3 + 4*c**3 - 5*c**3 - c**3)*(0*c**2 - 3*c**2 + c**2).\nAnswer: -196*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c12ed5 - 0?\nAnswer: 2c12ed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -288.6 and -55147141.\nAnswer: -55147429.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181015 and 820?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -8*n**3\/3 + 13*n**2 - 73*n + 1. What is the smallest common multiple of q(1) and 87?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -18 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 2*sqrt(209)*2) + (1*sqrt(209) + sqrt(209))*6)\/((-6*(sqrt(396) - sqrt(396)*2) - sqrt(396))*-2).\nAnswer: -3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) 0.1 (c) 1\/4 (d) -0.044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 1, r: 9, t: 2, c: 4}. Give prob of picking 2 a and 2 r.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g + 14*g - 69*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccdccdc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 11 + 1. Let x = m - 7. Suppose 3*b - k - 75 = 2*k, -107 = -3*b - x*k. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 211*p + 306. Let d be u(-104). Let j be (-6)\/10 - 39\/(-90). Let r = 0.5 + -0.3. Which is the nearest to r? (a) -0.4 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -35. Let j(d) = -31 - 5*d + t - d. Calculate the remainder when j(-7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 154. Let k be y(10). Let g(l) be the first derivative of -10 + 2*l**4 + 0*l**3 - k*l**2 + 4*l - 4\/5*l**5. Factor g(i).\nAnswer: -4*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 11*a - 5625 = -h, 5*a + 2*h = 28098. Is 108 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - f**2 - 2*f**2 - 2 - 2*f. Let y = -241 + 260. What is the remainder when q(3) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2723, 2731, 2743, 2759, 2779, 2803?\nAnswer: 2831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010691 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -2*y**4\/3 - y**3\/6 - 6*y**2. Let l(m) = -11*m - 1. What is -5*b(i) + 7*l(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.09.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306393 rounded to three dps?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/163 in 1\/3, -2\/21, 4\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 25. Let p = -13 + q. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013583 (base 10) to base 9.\nAnswer: -1814333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6075 and 2733075?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 10 - ((-378 - -368) + (-37)\/(-3)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from wlywwzgbblglb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25740263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * 930780.\nAnswer: 38161980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 11*u**2 - 28*u + 32. Let l be i(13). Suppose -50 = -l*z - 14. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - -2)) + (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -2133*f**4\/8 + 5422*f**3\/3 - f**2 - 229. What is the first derivative of j(o) wrt o?\nAnswer: -6399","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, 0.3, 1\/11, -3.3, 19, -4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 1\/2*r**2 + r**3 - 3*r - 2 - 1\/4*r**4. Let y be q(3). Which is smaller: y or 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*h**5 - 4244*h**4 - 2108*h**3 + 6364*h**2 + 2116*h - 2120 = 0. Calculate h.\nAnswer: -530, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/3 - 32*y**4 - 852*y**3 - 16096*y**2\/3 - 9792*y = 0. What is y?\nAnswer: -54, -34, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = 2*g, -g = 2*i + i - 13. Let p = g + 1. Factor 0 - 1\/3*l**3 + 0*l + 1\/3*l**p.\nAnswer: -l**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82048 smaller than 82048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1171.5 - 1172. What is the second smallest value in 1\/2, 0, a, 5, -57?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 278616230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 6*p**3 + 11*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i - 12. Determine v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1118*b**3*w**4 + 2*b**3*w + 115*w**4 + 1388*w**2 wrt w?\nAnswer: -26832*b**3*w + 2760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512.586 + 25599.\nAnswer: 27111.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, f: 6}. What is prob of picking 3 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-10 - -2 - (18 - 27) - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 5*c**2 + 7*c. Let f be q(6). Suppose f*w = 2*w + 12, 2*v = -4*w + 30. What is the smallest common multiple of v and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1515\/962173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Let f(l) = 51*l - 1. Determine f(y(s)).\nAnswer: 153*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/o**(-3))\/o))\/(o**(-6\/7)*o))**(-20))**(4\/15) assuming o is positive.\nAnswer: o**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 933152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233948 divided by 89.\nAnswer: 233948\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -210, -1, 5, 0.\nAnswer: -210, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03093 - -0.022845. Let w = d + -0.054. Round w to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21320778 divided by 1\nAnswer: -21320778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 220*m - 8. Let p(x) = -x**2 - 11*x - 5. Let c be p(-10). Let u be z(c). Does 3 divide u\/48 - (10\/(-8) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*q + 8 = -7*q - 46 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pkkpkkpk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2)*(-52)\/338.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -n + 816 - 802, -3*n - 13 = -2*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {a: 1, e: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let d be g(0). Let x = d - -2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 - 1. Let b be o(-1). Let x(y) = 1 + 7*y + y**2 + 0 - 2*y**2. Let f be x(7). Sort f, -1, b in decreasing order.\nAnswer: f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-15)*3 + 686\/(-10)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93415 divided by -870?\nAnswer: 18683\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8505.086 nanometers?\nAnswer: 0.0008505086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 + 0*o - o**2 + 1\/3*o**3 + 1\/12*o**4 + 1\/12*o**5. What is the lowest common multiple of 12 and d(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740761403.\nAnswer: 2017, 367259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + (19 - (106 + 10))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2085 and 1529.\nAnswer: 22935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*j**5*p + 5*j**4*p + j**2*p - p wrt j?\nAnswer: 1260*j**2*p + 120*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 + 4*p + 7. Let c be z(-2). Suppose 29*d = 26*d + c. What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (0 - 2) + 2\/1. Sort 0, -4, w in decreasing order.\nAnswer: 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*x - 32. Let p(s) be the first derivative of 0*s**x - 4*s + 0*s**3 + 3\/5*s**5 + 0*s**2 - 1. Differentiate p(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/6058 + -12137\/42406. Which is the third smallest value? (a) t (b) 3 (c) -331 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-380)\/75 - -6) + 21\/(-35). Solve -y*w**3 - 4\/3 + w**2 + 0*w = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19362 is divided by 421.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 588803*d\/4.\nAnswer: d*(d - 588803)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -83. Let k = m - 191\/5. Which is the closest to -0.1? (a) k (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 580463696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from ammbbamaaamba?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -35722306\/3 greater than or equal to -11907435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - -1) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 82553 + 31048. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3440.95 kilometers to micrometers.\nAnswer: 3440950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 263?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 3*o - 2. Let a(h) = 4*h - 61. Let u be a(0). Let d = -31 - u. Suppose 5*w - d = 2*m, -4 = 4*w - 0*w + 4*m. Give k(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2. Let t(y) = 13*y - 4*y - y. Determine r(t(d)).\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((420\/25)\/(-6))\/((-6)\/45). Let a(v) = v**3 - 20*v**2 - 23*v. Give a(l).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/3 - 3923*d**3 - 62845*d**2 - 294667*d\/3 + 164990 = 0.\nAnswer: -14, -3, 1, 11785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k - 1. Calculate the remainder when g(-4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.82 - 0.01?\nAnswer: -308.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q - 120 = 60*q. What is the greatest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(7\/(-105))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 7. What is l(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 3 = 3. Suppose 5*c - 145 = 2*t, -2*c + w*t = 5*t - 29. Suppose 34*n = c*n. Solve -5*l = 25, -19 = y - n*y + 3*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.175 + 0.075. Let y = 1.5 + -2. Let r = -113\/3 + 38. What is the closest to c in y, r, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1379739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10313510 is divided by 3312.\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/64600 and 65\/9921268.\nAnswer: 496063400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 13) in base 14?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 4, -9, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -214, 466, 1142, 1814, 2482, 3146?\n\"Answer: -2*f**2 + 686*f - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 34*n**2 - 14*n**2 - 21*n**2.\nAnswer: -n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401 divided by -3?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-763)\/98 - -8).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.4 + -39.6. Which is the third smallest value? (a) 1\/4 (b) l (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14758551 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + 0.8. Let i(q) be the third derivative of q**4\/4 + 77*q**3\/6 - 29*q**2. Let z be i(-12). What is the biggest value in -0.4, g, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1453 - -2?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3 + 15*b**2 - 25\/3*b**3 - 8*b = 0. Calculate b.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(-5\/4))*q)*q*q**(1\/3)*(q**(-2\/9)\/q)\/(((q*q**3\/q)\/q)\/q))**(-1))**(-15) assuming q is positive.\nAnswer: q**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3552 and 48?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/15 (b) -3 (c) 9 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, z: 1, y: 1, g: 2, e: 1}. Give prob of sequence eyl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:36 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7*u**3 + 3 + 2 + 2.\nAnswer: -7*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 73 = -4*a. Is a a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 12 + -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 6*a - 2*a + (5 - 2 + 0)*(3*a + 3*a - 5*a) in the form x*a + p and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 4*(sqrt(99)*3 + sqrt(99)))\/((-1*sqrt(108))\/sqrt(12)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/11 - 2370\/(-33). Suppose -4*q = -a + 20. What is the tens digit of 193\/13 - (-2)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5760*d**3 - 4453902480*d**2 - 371158555*d\/2 - 3866235\/2 = 0.\nAnswer: -1\/48, 773247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-84))\/((-1)\/3). Let k = -24.19 - -23.8. Let m = k - 0.01. Which is the smallest value? (a) 0 (b) m (c) z (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5447.\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.232717224 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*h*p**2 + 8*f**3 + 6668*f**2*h*p**2 - 1469*f*h wrt p?\nAnswer: -2*f**3*h*p + 13336*f**2*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 6)*(-98*l**2 + 289*l**2 + 119*l**2).\nAnswer: 1550*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 3.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97.839 + -0.2.\nAnswer: -98.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 4*t = 15*t + 12, 21 = -3*p - 2*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -16, -22, -28, -34?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**2 - 14*g + 22. Is p(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/46? (a) 9\/224 (b) 59 (c) -2\/5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 12.967. Let t = -5.167 + z. Let p = t - -5.200041. What is p rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133258386 divided by -6?\nAnswer: -22209731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 3, -39?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 27*h**3\/2 + 53*h**2\/2 - 15*h = 0. Calculate h.\nAnswer: 0, 1, 2, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 940503647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 = 450*k - 1090 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(2\/(-12)). Suppose 0*u + u - 11 = -2*w, 2 = w - i*u. Let a(q) be the second derivative of q**3\/3 - 2*q**2 + q. Give a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32338 is divided by 16072.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {x: 5, j: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 253, 593, 1023, 1543, 2153, 2853?\n\"Answer: 45*u**2 + 205*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**8\/1512 - 2*c**7\/315 - 7*c**6\/270 - 8*c**5\/135 - c**4\/12 - 2*c**3\/27 + 11*c**2. What is i in p(i) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*q**2 - 1\/3*q.\nAnswer: -q*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145232929?\nAnswer: 9859, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 3*w**2 - 4*w + 4. Let o be h(-4). Suppose g + 96 = 5*m, -4*m + 147 + 205 = -o*g. What is the common denominator of ((-1)\/(-6))\/(4\/g) and 85\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -237\/4*k + 60 - 3\/4*k**2.\nAnswer: -3*(k - 1)*(k + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 7600 = -0*k. Let j = 1094 - k. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 0*g**3)*(g + g - 3*g) + 17*g**2 + 9*g**4 - 17*g**2 - 1 + 2*g**4 + 1.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -32*h - 2013. Let s be y(-63). Solve -3*c - 19 = -s*d - 4, 2*d = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) 23 (c) 2\/7 (d) 2.2 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 2637511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331508147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/252 - (-26)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8231517 divided by 7.\nAnswer: 1175931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 128*p**2 - 84*p - 395. What are the prime factors of z(-6)?\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 27001452.1.\nAnswer: 27001453.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h - 1\/2*h**2 + 1. Suppose 0 = -u - 8 + 3. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(1\/(-3)*-3). Let x = h + -8. What is the least common multiple of 8 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 1398040?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 945502640 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1289, 2559, 3829?\nAnswer: 5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + (4 - 2). Suppose b = -2*y + 27, -c*y = -0*y - 3*b - 36. Let s(a) = 4*a**2 + a - 2. What is the remainder when s(3) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 1118977*i - 1118975*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -410*j - 1496. Calculate the remainder when q(-7) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/84 and (213\/(-72) - -3)\/(560\/(-2928)).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 570 (b) 137 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 - x**2 + 223*x + 2. Let v(i) = -9*i**3 + 3*i**2 - 480*i - 5. What is 5*u(r) + 2*v(r)?\nAnswer: 2*r**3 + r**2 + 155*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4474 = -453*v + 10343 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1018\/5, 1\/2, 0.1, -6857?\nAnswer: -6857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11503 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqmeqmqqqmqqqq. What is prob of picking 1 m and 1 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4674678.1 to the nearest 10000.\nAnswer: -4670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 17*m**2 - 6*m - 18. Let h be w(-17). Suppose 0 = 3*v - 6 - h. What is the greatest common divisor of 120 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155, 311, 467?\n\"Answer: 156*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-1\/2)*m)\/m))**(-15)*m**(1\/3)*m**(1\/8))**(-2) assuming m is positive.\nAnswer: m**(529\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 18 = -v + 5*d, 0 = 5*v + 2*d + 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 1. Let r(l) = -55*l**2 + 7*l - 14. What is -6*i(w) + r(w)?\nAnswer: -55*w**2 + w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eorodrxeorxjexj. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (47\/13 - -3) + -7 + 1. Factor x*c + 2\/13*c**2 + 8\/13.\nAnswer: 2*(c + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 - 3. Let v = -0.21 - -14.21. Let g = v - 11. What is the biggest value in g, -3\/2, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 - -10?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18751 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + 5*z - 4. Let f be c(-4). Let r = f - -112. Suppose 3*b - 8*b + r = 0. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25a - 17?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 706092619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 11*y**9\/6 + y**8\/168 + y**7\/105 + y**5\/30 + 443*y**4\/24 - y**3\/6 - 3*y**2 + 21. Find the third derivative of g(d) wrt d.\nAnswer: 110880*d**3 + 120*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8059 - -0.5059. What is the third smallest value in -90, s, -3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 0*c)*(0 + 0 + c) + 16*c**2 + 8*c - 32 + 75 - 41.\nAnswer: 15*c**2 + 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -29. Let j = a + -70. What is the nearest to 2\/7 in j, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -4, 2, 3, 2\/9, -3\/103 in descending order.\nAnswer: 3, 2, 2\/9, -3\/103, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1756 to one dp.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7447 (base 9) in base 16?\nAnswer: -155e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 divided by -171?\nAnswer: 176\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, u: 2, c: 1}. What is prob of sequence la?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5 - 7. Let q = i - 2. Find the third derivative of 5*w**4 - 2*w**q - 6*w**2 + 7*w**2 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3734571, -3734572, -3734577, -3734586, -3734599, -3734616?\n\"Answer: -2*l**2 + 5*l - 3734574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102.04 - 5.56. Let v = 108 + t. What is the closest to -0.2 in -2\/5, -3\/2, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -2) + -2 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 3, u: 11, k: 1, d: 2}. What is prob of sequence kux?\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x - 12. Let d be q(-2). Find the second derivative of 5*t + 3*t**3 - 275*t**d + 1 + 255*t**4 - 3*t**3 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 10*l**2 + 59*l + 180. Let u be n(-4). Solve 4*s + u - 48 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - 172. Sort 5, -1, -5, u in decreasing order.\nAnswer: 5, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 14*f**2 + 2*f + 11. What is m(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 + -12 - (4 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1220, 0.1, 2 in increasing order.\nAnswer: -1220, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4*v - 27 = 0, 3*v + 398 = 2*p + 397 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/3 (b) 1\/12 (c) -0.0328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + -1 - (3 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*f**3 - 4\/3*f**2 - 20\/3*f - 4.\nAnswer: 4*(f - 3)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252c (base 14) to base 7.\nAnswer: -24655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7627 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -72*l**4 + 460*l**2 + 27*l - 19. Differentiate f(n) with respect to n.\nAnswer: -1728*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let d be k(-1). Suppose -4*i + 2*h + 6 = d, -3*i - 4*h - 12 = -2*i. Suppose -3*g + 24 = -i*g. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d = 124. Calculate the remainder when d is divided by 9 + 2\/14*14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200222 (base 3) in base 9?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 6*c - 33518*c**2 + 6*c**3 + 33652*c**2 in the form g*c**3 + s*c + z*c**2 + o and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 3.815.\nAnswer: 4.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = -3*v, -6 = -2*r - v - 5. Suppose 3*p + 48 = -2*y, 37 = -2*p + y - 4*y. Let q = -11 - p. What is the remainder when q is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/16)\/(((-27)\/648)\/(1\/3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.35\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*a + 16, -3*l + 0 + 1 = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)*(-2)\/(-30)*3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 2. Suppose -3*p = -p. Let v be g(p). Solve 0 = v*l - 5 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 101592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -288 - -5?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 2*x, -w - 2*x = -x - 4. Find the first derivative of -8 + y**4 - w*y**4 - 3*y**4 - 5*y**4 wrt y.\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -13. Let y = v + 35. Let o = -26 - -27. Which is the closest to o? (a) y (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -6, 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f - 2 - 17 - 16 - 59*f. Is o(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2 + 1\/2*k**3 - 9 - 3\/2*k = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 + 9*p - 12. Let g be f(-13). Suppose 0 = -14*o + 6*o + g. Solve o*j + 3*w - 2*w + 17 = 0, -3*j = w + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05745 + -135.19745. Let f = -135 - i. What is the biggest value in 4\/3, -4, 2\/7, f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -46*v + 23. Let x(z) = 20*z - 20. Let k(g) = 37*g - 37. Let a(l) = 7*k(l) - 13*x(l). Calculate -23*a(y) + d(y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18404768 is divided by 332.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*g**2 + 6*d**3*g + 55*d**2*g**3 + 74*d*g wrt g.\nAnswer: -2*d**3 + 330*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.23389 and -4426.3061.\nAnswer: -4413.07221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*(-16 + -2). Suppose 0 = 2*r - b + 4*b - 177, 2*b = -2*r + 182. Calculate the greatest common factor of n and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 23. Let k be t(0). Suppose -3 + k = 5*d. Let h = -6\/859 - -15504\/6013. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130297333 divided by 3?\nAnswer: -130297333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3019435 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 6.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5720 * -7.51.\nAnswer: -42957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 + 3*k**2 + k**2)*(-2*k + 2 - 2)*(-k**2 + 3*k**2 + 0*k**2).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 46 + 40 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144540601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/6)\/g*g*g*g\/(g*g**(-3\/4)))\/(g*g**(1\/3)*g**(-7)))**(2\/7))**(-13) assuming g is positive.\nAnswer: g**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 34 (c) 2\/209 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**3 + 7*n + 5 + n**3 - 2*n**3 + 6*n**2. Let a be f(7). Suppose -a*r + 12 + 8 = 0. Solve y - 2*z = 0, -2*y + r*z = 3*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1214 - -1660. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233213 (base 4) to base 6.\nAnswer: 22035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1571 + 153.6429. Round p to the nearest integer.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 9. What is the least common multiple of d(-6) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*(18\/484)\/(3360\/3080).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 31*x - 3920.\nAnswer: (x - 80)*(x + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2283 = 4*v + 899, -5*c + 1027 = 3*v. Let g = v - 341. Solve -2*h + 18 = -g*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11460798 divided by -3.\nAnswer: 3820266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.9 + 11.8. Let r = q + 26. What is the closest to r in 0, 1, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3575785 is divided by 91685?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 6*g - g - 2*y - 21 = -2*g, 3*y = -g + 2*g - 26 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 - 44) + -7 + 16 + (-13 - -11).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 152 = 40*w. Let c = w + 147. What are the prime factors of c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 0.54 (c) -3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/286 and 13\/3?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 176715.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 4)\/((-6)\/5316). Let j = d + -2654\/3. Factor -10\/3*b - 2\/3*b**3 + 8\/3*b**2 + j.\nAnswer: -2*(b - 2)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (34\/(-51))\/(4\/18)*-514 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -677, 3, 0, -9 in decreasing order.\nAnswer: 4, 3, 0, -1, -9, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Let a(t) = -t**3 - t**2 + 3*t + 1. Let s be a(-2). Let f be n(s). Suppose 725 = f*r + 3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153110436 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -770? (a) 2 (b) 0.7 (c) 2\/7 (d) 3\/7 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*sqrt(65)*1)\/sqrt(5).\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353\/18 + 175\/9. Let n = 0.07 + -4.07. What is the second smallest value in n, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2335695447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 199?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1450*n**3*z - 44*n**2*z - 2286*z + 7 wrt n.\nAnswer: 4350*n**2*z - 88*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y + 4*y - 4*y + (2*y + 2 - 2)*(1 - 4 + 6)*(2 - 3 - 1).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 25 = -6 - 1 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:53 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-45) - (-12)\/(-10). Let r = -0.45 - -0.05. What is the nearest to m in r, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - o**3 + 6*o**3 - 7*o**3 + o**3 + 3*o**3 + 0*o**3 + 6*o**3 - o**3 + (-6*o + o + 3*o)*(o**2 + 0*o**2 - 3*o**2).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 48 = 3*w, 3*r - 50 = -r - 3*w. Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(-3)))\/((d\/(d**(-2\/3)*d))\/d))\/(d**4\/d*d**(-2)*d*d))**(10\/3))**(4\/33) assuming d is positive.\nAnswer: d**(40\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**9\/3024 - w**8\/448 - w**7\/168 - w**6\/144 - 7*w**4\/12 + 11*w. Let l(o) be the third derivative of i(o). Factor l(k).\nAnswer: -5*k*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91907180 rounded to the nearest ten thousand?\nAnswer: -91910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166688968 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28667.71466 - 29174.7145022. Let y = k - -507. Round y to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 12596772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.0896 days to milliseconds.\nAnswer: 3722941440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2612777472*w**2\/5 + 144576*w\/5 + 2\/5 = 0.\nAnswer: -1\/36144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.42 + 16.42. Let x = s + -15.922. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 7. Let b = -13 - g. Suppose 4*t + 5*i + b = -1, -3*t - i + 13 = 0. 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 kth term of 3064, 2496, 1540, 190, -1560, -3716, -6284?\n\"Answer: -k**3 - 188*k**2 + 3*k + 3250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 6, g: 9}. Give prob of sequence vk.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/4)\/((-6)\/(-48)). Suppose a - 9 = q. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {m: 1, g: 3, h: 2, e: 7, y: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = 2*i, -4 = -5*i - 0*i - y. Let l(a) = 2299*a - 6. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 2327*i**2 + 18764*i + 196140.\nAnswer: -(i - 14)*(i + 6)*(i + 2335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 7*q + 8, 0 = -2*f - 5*q + 622. Sort -1, f, 4, 5 in descending order.\nAnswer: f, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 6.16516723.\nAnswer: 6.36516723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 8*r**2 - 10*r**2 + 3)*(-3*r + r + 3*r) + (4*r - 3*r + r)*(1 - r**2 - 1).\nAnswer: -4*r**3 - 90*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + n + 47 = 14, 4*n - 21 = -s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 437 - 432. Let n(h) be the first derivative of -6*h - 2\/3*h**3 + s*h**2 - 1\/2*h**4 + 2. Factor n(x).\nAnswer: -2*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 8:40 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1860*n**2 - 5195412*n - 3306406068.\nAnswer: 4*(n - 1197)*(n + 831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 16. Let f = 409.3 - 432. Let u = f - -22.9. Which is the closest to 2? (a) -4 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108723552 divided by -4704\nAnswer: -23113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -559304288*i**2 + 396811409 wrt i?\nAnswer: -1118608576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 5. Suppose -4*u = -4*i - 28, 2*u + 5*i = -0*u - 7. Suppose 2*n + 2 = -2*p + 6*n, -5*n = u*p + 4. Put p, 5, j in descending order.\nAnswer: 5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1290*p + 1299*p - 1231218. Let g = -95617 + p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 9:54 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71446*f**3 - 14*f + 14*f - 70693*f**3.\nAnswer: 753*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = y. Suppose 3*k - 5*k - y = 0, 4*z = 2*k + 42. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c + 574. Calculate x(40).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 8*m**2 + 11*m - 13. Let b be f(9). Suppose -b*u = 3*n - 10, 0 = -4*n - 5*u - 2 + 12. Which is bigger: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 530 in ascending order.\nAnswer: -5, -2, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1029048 + -2839048. What is s rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418958?\nAnswer: 2, 3, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.81 - 0.71. Let a = w + -0.1. Let t = a + -4.012. What is t rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288771.6 litres to millilitres.\nAnswer: 288771600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 30 = 3*s, 2*s = s. Let y be (-2 + 2)\/((-6)\/d + 2). Determine l so that y - 10\/13*l - 2\/13*l**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/28912 and 103\/869232.\nAnswer: 120823248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 29. Suppose -9*r - 36 = -0. Let u be (-154)\/r*24\/42. What is the highest common divisor of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h + 130. What is y(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 9*l + 11. Let t(n) = -5*n + 6. Let i(s) = -7*t(s) + 4*x(s). Let o be i(3). Let b be 10\/o + (-12)\/(-7). Is b greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26873 - -26873.031974. Round u to four decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 - 8 = -4*x - 0*n, -2*x - 6*n = 0. Let h be ((-14)\/6)\/((-2)\/(-6)). Let j be (-2)\/h + (-2)\/7. Solve j = 2*w + 2 - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1815566.16549 + 1814550.16548581. Let b = -1016 - m. What is b rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -0.239?\nAnswer: 7.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 754235581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 1743*j**3 + 2798*j**3 - 18*j**2 + 17*j**2 - 39.\nAnswer: 1055*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3281310 and 31752.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 10*o**2 + 91*o - 1078. Calculate i(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 32*h**2 + 180*h + 189. Let r be m(37). Solve -12*w**3 - 36*w**2 - 48*w - 24 - 3\/2*w**r = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let f = 3 + 9. Suppose -f*u = -9*u - 9. Solve -4*p - u*a - 22 + 11 = 0, -2 = s*p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13816)\/(-728) - (0\/8 - -13) - 6\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3)\/c**(-17))\/(c\/c**(-2\/3))**(11\/5) assuming c is positive.\nAnswer: c**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - 236. Let l = 415\/7 + q. Let i = -31\/3 + 9. Which is the closest to l? (a) -1 (b) i (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*f + 3*f + 285 = 0, o + 5*f + 37 = 0. Let d = o - -61. Let l be (17 + 1*(-2 + d))\/2. Solve l = s + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1144881?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -57*l**2 + 4*l. Let o be i(3). Let z = o - -766. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 23*r. List the prime factors of h(10).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -84 (b) 1\/5 (c) -0.2 (d) 4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336757921.\nAnswer: 181, 409, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 3*a**5\/40 + 4*a**3\/3 - 20*a. Let o(v) be the second derivative of u(v). Let k(d) = -d. What is k(o(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -45*c + 45. Let y(w) = -1. Calculate -q(t) - 45*y(t).\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 11)*(-3 + 3 - h)*(-610*h**2 - 19*h**4 + 610*h**2).\nAnswer: 152*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -346 + 507. Let j(c) = -c**3 - 12*c**2 - 12*c - 6. Let v be j(-4). Let b = k + v. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 2*l + 8. Let b be r(14). Let z = b + 1123\/7. Let f = -332\/489 - -2\/163. What is the nearest to -0.1 in f, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*g**2 - 2864*g - 41*g**2 + 2864*g.\nAnswer: -125*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 103 = x, 5*x + 24 - 175 = -3*f. Suppose 5*h + 3 = 68. What is the highest common divisor of h and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 + 237.873. What is f rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29011*-0.1373.\nAnswer: -3983.2103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let b be 3\/p*(-98)\/6. Let f = 24 + b. What is the biggest value in f, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*n - 3*a + 45, 3*n = -5*a + 52. Solve 0 = w + 2*o + 15, -4*w + 2*o = -n*w - 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6 + 22\/33. Suppose j*z - 145674 = 2*w + 2*w, 3*z + 4*w - 218491 = 0. Suppose -c + 1062833 = z. Round c to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 22370 = -z + 75142, -52764 = -5*s + 3*z. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 15*u**2 + 15*u - 9. Let c be i(14). Calculate the greatest common factor of c and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 50 = -3*h. Let m be -1*137 - h\/5. Let g = 951\/7 + m. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 78.37024 hours?\nAnswer: 282132864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1023\/161?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.9 - 50.9. Is m at least -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + 10)*(-3)\/2. Let v be -9*1*(j + -4). Factor 3*m**2 + m**3 - 7*m**3 + v*m**3.\nAnswer: 3*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284975518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, 5, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10948 and 64295672?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(320) - (3 + sqrt(320))) + -4*(0 + sqrt(5)) + 4 + 3)**2.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t**2\/2 - 288*t + 770 = 0.\nAnswer: 70\/23, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 2*t - 9)*(10*t**3 + 5*t**3 + 5*t**3) to the form l*t + x*t**2 + b*t**3 + v + s*t**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + 2 + 1. Suppose -o*s + 30 = -s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 - -21.53. What is the nearest to 0.01 in l, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 314, 820, 1518, 2408, 3490?\n\"Answer: 96*u**2 + 26*u - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*q**2 - 11*q**2 + q + 2*q - 11*q**2 + 53 with respect to q.\nAnswer: -8*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69155*z**2 - 138305*z - 10 = 0 for z.\nAnswer: -1\/13831, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*((-4)\/(-24))\/((-4)\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*o + 36 + 4, -11*q + 4*o = -74 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4414 divide 73800047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067245, 2134498, 3201751?\nAnswer: 4269004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*(-10)\/(-15))\/((-96)\/816). Solve -t + 314 = -99*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x + 46872 = 950*x for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**17\/o*o**(-2\/35))\/(o**(2\/17)\/o**(-6)) assuming o is positive.\nAnswer: o**(5846\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -360 < -362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (0 + -6 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from zqzzocszlloo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 31 = -4*y, 0 = 4*y + 3*i + 32 - 7. Let m = y + 7. Solve 0 = -3*k + m, -4*s + 2*s + 2*k + 4 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372763247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2 - 109*m - 3. Let b(d) = 8*d**2 + 141*d + 2. Calculate -3*b(t) - 2*n(t).\nAnswer: -6*t**2 - 205*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1\/8*t**4 + 7\/6*t**3 - 2*t**2 + 0*t + 0. What is the tens digit of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121992*f**3 + 243974*f**3 + 81*f - 2*f**2 - 121988*f**3 to l*f**3 + s + j*f**2 + p*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:37 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28160, 3, -7, 0.\nAnswer: -28160, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = -13*s - 7*s. Let y = s + -31. Calculate the least common multiple of 2 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) + 1840\/64. Let g = m - 22. What is the units digit of ((-9)\/g)\/((-9)\/204)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 2. Let t be v(0). Let p be 1\/(-4) - 1\/t. Let r = -0.88 + -2.12. Which is the second smallest value? (a) p (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/45 and -61\/78624?\nAnswer: 393120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47*-1249\nAnswer: -58703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232377, -231953, -230807, -228579, -224909, -219437, -211803?\n\"Answer: 60*m**3 + m**2 + m - 232439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 16 - 1. Suppose 3*j - v*z = 30, -j - 4*z + 16 + 11 = 0. Suppose 3*b = j - 0. Solve -15 = -b*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 + 5 - 5)*(3*o**2 + 2*o**2 - 4*o**2) + 2*o**5 + 0*o**3 + 0*o**3 - 4*o**4 + 4*o**4 + o**5.\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*i = -35, 3*i = -3*d - 0*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by 735?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100010011110011001 (base 2) to base 11\nAnswer: -97102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*l - 74*l - 15*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 + 60*a**3 - 1192*a**2 - 1248*a = 0 for a.\nAnswer: -26, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -23. What is the highest common factor of h and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-10))\/(3\/(-24)). Let j be (7\/(-42))\/(1\/(-6)) + 0. Let p be j\/(-4) + 77\/132. What is the closest to -2 in p, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-4)*8\/112\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**3 + 6*b**2 - 47*b + 201. What is x(5)?\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1462986)\/(-10))\/17 + 2\/10. Calculate the greatest common divisor of 130 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnwjjyynnw. Give prob of sequence nj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10927 is divided by 5404?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0654 + 2.9346. What is the fourth biggest value in -9, 1, -0.4, v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*w + 4*h, -787*w + 9 = -791*w - 3*h. Let t(z) = 2*z**2 + 5*z + 2. Let a(b) = -10*b**2 - 26*b - 10. Determine w*a(s) + 16*t(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51805 - 380195. Round c to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + 1 + sqrt(1377) + 1 + -3*sqrt(1377)*-5))**2.\nAnswer: -9216*sqrt(17) + 5640256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0101? (a) 7 (b) 1845 (c) 4\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 42 - 297 = 0. Let p = d + 259. What is the highest common divisor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-1\/4))))**(-26\/9)\/(x**(-5)*x\/(x\/x**(-3))) assuming x is positive.\nAnswer: x**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1539 at most as big as -1536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -r. Suppose r = -10*b + 208 - 58. Solve 5*t - 4*q = -q + 9, -3*q = 3*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m - 5*i + 45, -m - 4*i + 5 = 0. Let p be (-2 - 21\/m) + 726\/10. What is the greatest common factor of p and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 3*p, -3*p - 4*a + 5 + 4 = 0. Solve -p = 2*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10421310 (base 6) to base 16\nAnswer: 4ca6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -17, -29, -53, -95, -161?\n\"Answer: -c**3 + 3*c**2 - 8*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/15*(-4 - (-36)\/4). Suppose 3*u = g*p - 2*u - 8706, -3*p + 6535 = -u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.028 and -3628.\nAnswer: -3627.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 2*d + 4. Let b be k(6). Let h be 462\/b + 1\/(-2). What is the greatest common factor of h and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414230 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71574440 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3823\/84 + -5\/28. Let h = i - 46. Let b = 398\/5 - 80. What is the closest to 0.09 in 0.4, h, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11557 - 11559. Put -63, u, 0 in ascending order.\nAnswer: -63, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6080 and 3230?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 198473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k + 21 = 100*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.64 + -1.04. Let v = n + -9. Let j = 6110 + -6110.5. Which is the third biggest value? (a) j (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2977422 and 2041.\nAnswer: -2975381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290232)\/(-8340))\/(3\/5).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdn when three letters picked without replacement from krnkbdrkbdkrdkkd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22437 times -0.15\nAnswer: -3365.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 30 = 3*y, -5*y = -2*t + 41175 - 41189 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**4 - 3*h**4 - 2*h**4 + h**4 - h**4 + (3*h - 6*h + h)*(-h - h**3 + h) + 2*h**4 + 3*h**4 - 3*h**4 + 2*h**4 - 3*h**4 + 0*h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(55)\/sqrt(11) + -3)*-3 + -2.\nAnswer: -14 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.3346 kilograms to micrograms.\nAnswer: 7334600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(10127155\/(-1446751) - (-4 - 3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 10*x**2 + 10*x + 1. Let c be g(9). Suppose f = 2*v - 17, v - c + 4 = -2*f. Calculate the smallest common multiple of v and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.258807m?\nAnswer: 0.008258807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 40922*s + 286333. Give a(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 469968366 to the power of 1\/2, to the nearest integer?\nAnswer: 21679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:02 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 12*h - 17*h. Solve h*c = 2*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16 and 13\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 164, 161, 156, 149, 140?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z + 3*z - 6*z to the form c*z + o and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/(-7)*570\/(-25))\/(-1). What is the highest common divisor of 402 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a**2 + 0*a**3 + 721 - 5*a - 763 - a**3. Let u be p(-12). What is the greatest common factor of u and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0074 - 1.2.\nAnswer: -1.1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**10)**(16\/7) assuming h is positive.\nAnswer: h**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -61)*3*3\/(-9). Let l = -34 - a. What is the remainder when l is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 4*m - 4. Let c(v) = 6*v**2 - 7*v + 9. Let j(o) = 9*a(o) + 4*c(o). Find the second derivative of j(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - u + 0*u - 2*u + 1178 + 2276 to the form x + f*u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -13. Let y = n - -10. Suppose 5*x = -h + 9, 9*x = 8*x + 3*h - 11. Solve -5*i - y*d + 3*d = -9, -i + x = d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (10 + (-1 - (-3 + 16)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.227 - -0.073. Let g = u - 0.3. What is the third smallest value in g, -2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1668 and 15576.\nAnswer: 2165064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2546 and 9\/20?\nAnswer: 25460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 13. Suppose -6 = 3*h + 6*d - d, -r = h + 5*d. Solve h*a + 3*f = 15, 2*a + 4 - 29 = -5*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164479, 329078, 493649, 658192, 822707, 987194, 1151653?\nAnswer: 1316084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 1794.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - l)*(-4 - l + 4) - 3*l**2 - 7*l + 7*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -10, 1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374 - 359. Let o be (-11)\/(-4) - (-2)\/8. Suppose o*i - 8*i + s = 0. Solve -f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/(-70))\/19 + ((-74)\/182 - -1)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104*m**2*x + 660*m**2 - 136*m*x**4 + 35*m wrt x?\nAnswer: 104*m**2 - 544*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (0 - 10) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 18. Determine o(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -66161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2\/4 + 1495*o + 335415\/4 = 0. Calculate o.\nAnswer: -1137, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.955921s to milliseconds.\nAnswer: 6955.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Let v(x) = 12*x + 2051. Determine j(v(u)).\nAnswer: -288*u**2 - 98448*u - 8413202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -11*z + 3*z - 5*z. Let g(s) = -4*s**2. Calculate x(g(a)).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 5}. What is prob of sequence jij?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 57. Let w = -23.07 + 23. Which is the nearest to 1\/2? (a) x (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9299*u. Let r(g) = -195*g. What is r(t(p))?\nAnswer: -1813305*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o + 9. Let y be d(0). Let q be (-4)\/18 - (-452)\/y. Let b = -34 + q. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = -4*d. Suppose 15 = -3*w, 0 = d*r + 5*w + 2 + 7. Let f(s) = s**2 + s + 1. Let h be f(-2). Solve j = h*o + r*j + 6, -5*o - 2*j = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 5*p - 15, -5*m + 3 = 33*p - 34*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 8 - 16 = 0. Let l be (5 + c)*(-6)\/(-12). Suppose -g - l*z + z = -897, -4*z = -4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 21 = -2*l, 10*l - 676 = -3*n - 715 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.05 (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -666, 4, -6, 2, 11, -11 in descending order.\nAnswer: 11, 5, 4, 2, -6, -11, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 - w**3\/3 - 17*w**2\/2 - 97*w. Give f(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2168, 4417, 6682, 8963, 11260, 13573, 15902?\n\"Answer: 8*u**2 + 2225*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*15\/(-200)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let p(t) = -4*t**2 - 11*t + 5. Let z be p(-3). Suppose 12*l + z = 50. Sort 1, u, l, 2 in increasing order.\nAnswer: u, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = i + 3*c, -5*c - 17 = -i. Let 2\/11*q**i - 2\/11*q - 4\/11 = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21856*r**2 - 778*r - 24 wrt r.\nAnswer: 43712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1529*g**2*s**3 - 12*g*s**3 - 3*g + 4*s**3 wrt g.\nAnswer: 3058*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-465)\/30 - -15) + 30007998\/(-4). What is f rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*d - 55, j - 12 = 2*j - 3*d. What is the units digit of (16\/3)\/((-10)\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0248 + 12087187862.\nAnswer: 12087187861.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 2*m**2 + 6*m**2 + 8*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 465\/(-27) - 12\/(-54). Let f = -13 - h. Suppose 3*b - 4*l - 697 = 0, f*b + 4*l + 227 = 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263*108\nAnswer: 28404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3)\/(-4) + -1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11c5 - -14?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(2\/17)*(x*x**1\/x*x)**(-2\/57)*(x**1\/x)**(-5)*(x**(-2\/21)\/x)\/x*(x\/x**3)\/x assuming x is positive.\nAnswer: x**(-687\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 8:37 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1393839, 1393848, 1393871, 1393914, 1393983, 1394084, 1394223, 1394406?\nAnswer: 1394639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 + -a3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 less than 702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 164, 147, 128, 107, 84, 59, 32?\n\"Answer: -i**2 - 14*i + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:04 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 10*h - 3. Suppose -h*s - 12 = -3*c, -2*c - 12 = -5*c - 2*s. Solve 2*o = 2*q + 6 + c, q - 19 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 1 + 0 + 0. Let i(v) = -2*v + 1. Let g(l) = 4*i(l) + 3*j(l). Let x(q) = -9*q - 26. Let t be x(-3). Let b(r) = r. Determine t*g(w) - 3*b(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/5*(2\/636)\/((-781)\/1562).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 6, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -148 and 28673941.024.\nAnswer: 28673793.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8000.9 minutes?\nAnswer: 480054000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 1317 + 1695. Calculate the smallest common multiple of 20 and o.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-971 - -957) + (-5 - 0)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4343, -3049, -1767, -497, 761, 2007, 3241?\nAnswer: 4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-12))\/((-4)\/(-24)). Let h(l) be the first derivative of l**3\/3 + l**2\/2 - 2*l + 2. Let d be h(z). Solve d = -5*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*t**2 - 263*t - 5*t**2 - 8 + 260*t + 7 - 20*t**2 to the form h + x*t**2 + u*t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-286)\/(-52)*(-4)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**2 + 10 + 8*q**2 - 4*q**2 - 5*q**2 + 7*q. Suppose 4*f + 0*f - 28 = 0. Let s be t(f). What is the greatest common factor of 90 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6a906 (base 12) to base 5.\nAnswer: -1133200233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1943, -2016, -2089, -2162?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/28)\/(260\/364). Let w(s) be the first derivative of -32 - 4\/5*s**2 + q*s**3 - 8\/5*s + 2\/25*s**5 + 2\/5*s**4. Let w(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfq. Give prob of picking 1 q and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316796 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (118\/(-1626))\/(2\/138) - -5. Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*x + 620*x - 2493*x + 617*x + 626*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -455 + 479. Suppose -11*i = -3*i - b. Solve 5*s - 6 = i*l, -4*s + 2*s + 3*l - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*s = 291 + 189, -2*n + 314 = s. Calculate the smallest common multiple of 858 and n.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + 11\/3. Suppose -r + 6*r - 706 = -w*m, 0 = 2*r + m - 283. Suppose 3*n - r = -2*u + 1, 5*n = u - 72. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 6. Suppose 11*n + 20 = 7*n. Let w be u(n). Suppose -v + w = -55. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - ((-37 - -47) + -33)) + (64 - -2)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/191424 and 73\/382848.\nAnswer: 382848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3 - 200535820*h**2 - 401071652*h - 200535828 = 0?\nAnswer: -1, 50133957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) - (24\/(-84) + (-39)\/35). What is the second smallest value in w, -0.4, -18, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - t**3 + 3*t**3)*(27 - 1 - 3).\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270153 - -119570. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c. Let l(b) be the second derivative of b**3\/3 + 7*b. Give r(l(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90552 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -58 + 85 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994782 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b + 0*b - b + (-113*b - 1242 + 1242)*(-b - b + 4*b).\nAnswer: -227*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3306656.3 to the nearest 1000.\nAnswer: -3307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000688 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 42 - 4*y**2 - y**3 - 11*y - 11 - 7*y**2 + 0*y**3. List the prime factors of d(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.592 - -106. Let n = -0.41 + j. What is n rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 32) + 4 + (14 - -36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16810*k**3*r - 10*k**3 + 10*k**2*r - 252*k**2 + k*r + 2*r + 1 wrt k.\nAnswer: 100860*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4991 (b) -1 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q + 39969 - 39969.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-935)\/(-198))*-1*3*360\/8424?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2968\/345 + -152\/69. Find h, given that 16\/5*h**3 + 34\/5*h - 78\/5*h**2 + p*h**4 - 4\/5 = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.11 - -18.9. Let a = 55.29 - 55. Let w = a - r. Round w to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16824)\/(-2103))\/(8\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/4)\/(p**(-3\/7)\/p))\/(p\/(p**(2\/5)\/p))**18)**(1\/10) assuming p is positive.\nAnswer: p**(-4007\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -483330*r + 10. Let t be u(-3). What is t rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76516 = 19*l - 61272. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2\/75827, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 52*k**2. Let h(v) = -v**2. What is h(a(y))?\nAnswer: -2704*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + p - 82 = -5*o, 5*o + 5*p - 130 = 0. Let a be (-3)\/(-6) - 14\/o. What is the biggest value in 14, a, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -980*l + 1980. What is the remainder when (-57)\/(-3)*(5 + 0) is divided by o(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 5 + (sqrt(171) + 0)**2 + 2 + -5 + (sqrt(171) + -1 - sqrt(171))**2*-4.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1176, 2355, 3534, 4713, 5892, 7071?\n\"Answer: 1179*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/820201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1220007 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 94. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, 13 in ascending order.\nAnswer: -1, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 229*x**3 + 622*x**2 - 4*x - 2. Let t(v) = -v**3 + 2*v + 1. Let n(o) = 3*q(o) + 6*t(o). What is the third derivative of n(b) wrt b?\nAnswer: 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 125 (b) 259915 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 3*l - 2. Let h be o(3). Let g be 64\/(-28) + h\/(-7). Is g - 18\/2*-1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(-4)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1815 - 7587 = -3*v, -4*n - 12 = 0. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, -3\/5, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 620, 715, 778, 809, 808?\n\"Answer: -16*r**2 + 143*r + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7679726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*w**2*x**5 - 3*w**2 - 10*w*x**5 + 344*x wrt x?\nAnswer: 440*w**2*x**3 - 200*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211322032 - -4?\nAnswer: 211322041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 11*y - 2635. Let o = 12 + -4. Suppose -s + 4*u + 11 = -y, 2*u = -o. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5217013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 + 374\/44)\/(48250\/(-48252) - -1).\nAnswer: 3, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 8*p**2 + 6*p - 4. Let q = 4 + -11. Let u be x(q). Suppose z - 33 = -3*v, 2*z - 5*v = -u*v + 74. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -514 (base 11) to base 16.\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2114907*i**5 - 196971507*i**4 + 221103768*i**3 - 27426432*i**2 + 1196928*i - 17664 = 0.\nAnswer: 4\/89, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70051, 140296, 210541, 280786, 351031?\nAnswer: 421276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 - 269.28. What is p rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.96 + 3.96. Which is the closest to 2? (a) -0.1 (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 67.88627 years?\nAnswer: 0.6788627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 4 - -1 - 5) + -3 + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 7*v**2 + 6*v - 5. What is the remainder when u(-5) is divided by 2 - -1 - -3*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 + 7*v - 4. Let w(p) = p**2 - p + 1. Let h be 0 - (21\/3 - 6). Calculate h*d(y) - 5*w(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 7:14 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 230, 241, 278, 353, 478, 665, 926, 1273?\n\"Answer: 2*q**3 + q**2 - 6*q + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*(s\/s**0)\/s*s*s)**(7\/2)\/(s**(-7\/2)\/(s*s\/s**(2\/15)*s)) assuming s is positive.\nAnswer: s**(821\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 4*x**2 + 14*x**3 + 6*x**2 - 7*x**2 to o + f*x**2 + g*x + i*x**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -4 - (-63 - (-54 + 4))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10048690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f + -615c?\nAnswer: -619b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3852 by -18.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -2 + 6 + -4 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1892 + -1775. Solve -3*r = -4*w - 85 + d, -20 = -4*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 34*d**2 - 11*d - 23. What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 63. Let f be (h + (-53)\/3)*(17 - 20). Suppose 0 = -4*w + f + 199. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284 divided by -1428?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 805 and (-1326 + 38)*(-12)\/24?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1314447, 2628898, 3943349?\nAnswer: 5257800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4 = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11282019 minus -0.1?\nAnswer: -0.01282019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 712 by -20.\nAnswer: -178\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116880 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 58039949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -117. Let g = 6864 - 6862. What is the smallest value in g, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 129 = 14*q, -2*z + 15*q + 19 = 19*q - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*p**3*x**3 - p**3*x**2 + 1496*p**3*x + 23*p*x**4 + 4*p*x wrt x?\nAnswer: -540*p**3 + 552*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 1)\/(8\/388) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -0.3 (c) -0.11 (d) 30 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21*t + 6. Let n(u) = -230*u - 65. Determine 6*n(r) + 65*q(r).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*x + 1636, 2*x = 3 - 9. Suppose 746 + c = 2*a. Calculate the greatest common divisor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 - 59 = -11*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*i**3 + 1466*i**3 - 396*i**3 - 236*i**3 - 426*i**3.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -3*y**6\/10 + 2*y**4\/3 + 21*y. Find the third derivative of s(v) wrt v.\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176912 is divided by 17567.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 11*w**2 - 4*w - 13. Is 21 a factor of y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 35.04. Let p = -2265.46413 - -2300.464. Let q = p + n. Round q to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from gwlwlllglnnnllwgpn?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.04, -4\/3, -24\/69829, -21?\nAnswer: -24\/69829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 + 5*l**2\/2 + l. Find the first derivative of c(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193304, -193302, -193300, -193298, -193296?\nAnswer: -193294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/23 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62340091.\nAnswer: 11, 5667281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2*f + 4. Suppose 3*l = -3*d - 16 + 25, 0 = -3*l + 3*d - 21. Let y be a(l). Solve 9*i - 15 = y*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 + 1 + 2*r**2 + 0*r**3 - 4*r**2 + 3*r**3 - 3 - r to the form g*r**4 + v*r + f + z*r**3 + y*r**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -645 - -104655?\nAnswer: 104010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/7 + (-9)\/21. Suppose 20 = a*q - 5. Suppose -q*v + 9*v = 8. Solve 4*k = -x + 7, -v*x + 2*k + 3*k = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let w = -7 + 9. Let h(v) = -2*v**2 - v**w + 2*v**2. Give h(d(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (318\/(-15))\/((-348)\/145) and -17\/676.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 0*y + 5*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -219, -207, -193, -177, -159?\n\"Answer: p**2 + 9*p - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -45, -99, -175, -273, -393, -535?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/23 - 10136060*g\/23 - 12842464040450\/23 = 0.\nAnswer: -2534015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 663940483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 36. Let l = m + -11. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5824 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*c + 8, -3*o + 2*c = -33 - 1. What is the highest common divisor of o and 3682?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 3*k - 9. Let c be t(2). Let y = 25 + c. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38441313*a**3 - 7479*a**2 + 248 wrt a.\nAnswer: -230647878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*y - 4. Suppose -h = -5*o - y, 11 = -2*h - h - 4*o. Suppose 4*l - 2*d - 138 = 0, -6 = -h*d + 9. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**2 + 11*n + 9. Let v be c(3). List the prime factors of (0 + v)\/(6 + 638\/(-106)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 1 = h. Let b be h\/(2*1\/(-4)). Let w be (-3)\/(-1)*b\/(-2). Let g(c) = -c**3 + 3*c**2 + c + 4. Calculate g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7976 = -4*v, 2*i = -3*v + 4008 - 0. Does 111 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Suppose 0*m + w*m = 4. Is (m - 1084)*(-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.880682 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 + 439 = 30*y - 407 - 518 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -3*g**5\/20 - g**4\/4 + 5*g**2\/2 + 7*g. Let b(q) = -q**3 - q**2 + 2. Suppose -6*u = 9 - 21. Calculate u*c(w) - 5*b(w).\nAnswer: -w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:24 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091460 is divided by 1206?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203246362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-1368)\/95) - 582\/(-36) - 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 25*k - 7. Is 31 a factor of o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-707)\/(-303))\/((-21)\/(-135))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2 - 109*s**4 - s**3 - 182*s**4 - 145*s**4 + s**3 + 1052*s wrt s.\nAnswer: -5232*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-14438.\nAnswer: -27432.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*g = -38 + 4422, 0 = -3*g. List the prime factors of b.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*w = -33, -5*w - 31 = -0*v - 3*v. Suppose v*s = -s. Let a(d) = d**2 + 35. Is 17 a factor of a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11135847 is divided by 16233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700)*-6.\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 6*n - 1536. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -77.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*q + q. Let c(o) = -o**3 + 5*o**2 - 5*o + 6. Let k be c(q). Suppose -4*n + 2*y = -240, -2*n + 3*n = -k*y + 55. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 87. Let d(p) = 2*p + 58. Calculate the lowest common multiple of d(l) and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*x = 12 - 2, -5*m - 4*x - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19978\/25 + 799. Which is the third smallest value? (a) 0.2 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 8*a + 5. Let i be z(8). Let k be (28\/i)\/(3\/(2 - -73)). Suppose 8*v + k = 404. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 28*y**3 - 7 + 283*y**3 - 8 - 16.\nAnswer: 311*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61252 plus 0.43?\nAnswer: 61252.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 5*r = -5, 0 = 2*k - 2*r + 4. Suppose 0 = -2*m - 8 + 4. Put k, m, -1 in descending order.\nAnswer: -1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 + 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2099*d**3 + 18*d**2 - 29800391*d?\nAnswer: 12594*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from xxxxxxxs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keeej. Give prob of picking 1 k and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*m**3 - 7*m + 6*m + 33*m**3)*(-16*m**2 + 19*m**2 + 46*m**2).\nAnswer: -2646*m**5 - 49*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 147 + 3*f - 80 - f**3 + 108 + f**2 as k*f + s + a*f**2 + h*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -20. Let k be 0 - 0*y\/3. Suppose -4*l + 20 + 64 = k. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 4*b + 3. Let u(g) = -g**3 - 3*g + 3. Calculate -3*c(z) + 4*u(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*u**4 - 2\/9*u + 0 + 2\/9*u**3 - 1\/9*u**2.\nAnswer: u*(u - 1)*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) - 1*sqrt(1280))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - 7) + 52 + -58 - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -106*i - 84*i + 89*i - 3*i + i + 4*i + (0 + 2*i + 0)*(-3 + 2 + 2) + 2 + 2*i - 2.\nAnswer: -95*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128\/615 - -1\/123. Let n = -3 - -2. Let f = -57 - -512\/9. What is the closest to n in -3\/5, l, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154205291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-53)\/10 - (-273)\/910. Let f(s) = 4*s**2 + 9*s. Let p(y) = 3*y**2 + 6*y. Determine t*f(i) + 7*p(i).\nAnswer: i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67402784553093 and 2.\nAnswer: -67402784553091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 444. Let v be u(-43). Which is smaller: 13 or v?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 314224?\nAnswer: 314230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2497*n**2 + 1614*n. Let d(c) = -c**2. Calculate p(d(v)).\nAnswer: -2497*v**4 - 1614*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (404 + -183 - 211) + 26 + 2 + -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162090 divided by -5403?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + ((-24)\/(-18))\/(2\/111). Determine k, given that 4*k**4 + 17*k + 170*k**3 + b*k**4 + 20*k**2 - 57*k = 0.\nAnswer: -2, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18624*m = 18625*m + w + 2*w - 55, -4*w + 10 + 24 = 21*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:41 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/45 and -113\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 15*t - 11*t, 2*a - 568 = -2*t. Let n = a + -235. What is the remainder when n is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 4, -4, -1 in ascending order.\nAnswer: -162, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 523342 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 2336.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2498958246.\nAnswer: 2, 3, 29, 14361829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 81 = -3*f - 19*v - 164, -2*f + f + 0*v = 4*v for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*h**2 + 2 - 2 + 105*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480 = -2*x - 3*v, 4*x - 9*x + 2*v + 3719 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7*f + 2*f = -195, -15 = -5*f. Let s = l - -38. What is the derivative of -8*t**s - 10*t**2 + 11 + 4*t**2 wrt t?\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 15*s**2 + 2*s + 35. Let v be q(-15). Solve -60*g**5 + 29*g**5 + g**4 + 5*g**3 + 108 + 4*g**4 + 30*g**v - 45*g**2 = 0 for g.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*y**3 - 306*y**2 - 333*y + 16893135 with respect to y.\nAnswer: 105*y**2 - 612*y - 333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3784 - 1891 + g**3 - 1893.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -135*x - 38. What is the tens digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1686 by -5.\nAnswer: -1686\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*h + 14 = 0, -3*m = h - 3*h - 11. Let u be -14207 - (-7 - (5 - m)). Round u to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3890*h**3 - 24522*h**2 + 21873*h**2 + 0 + 0 wrt h?\nAnswer: 23340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 524 or 2?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73.889 + -0.111. Let m = r + 73.7. Let t be -2 + (60\/14)\/3. Put t, m, -2\/3, -3 in increasing order.\nAnswer: -3, -2\/3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.08326 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*o + 47 = 0, 0 = -3*h - 0*h - 3*o + 9. Let v = 18 - h. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 8*b - 14. What is the tens digit of l(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 1\/3*t**3 - 1 - t**2 + 3*t. List the prime factors of p(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224526696 to the power of 1\/2, to the nearest integer?\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -363339286 minus 0.4?\nAnswer: -363339286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -555538 smaller than -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 2 + 123 + 2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/18)\/(4\/(-6)). Let z = 99\/4 + -25. Let j = 0.5 + -0.5. What is the nearest to z in k, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(156\/520). Solve 0 = u + 3*c - 5, 2*c - i = 76*u - 75*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 212 + 206. What is the remainder when 370 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011101010010011 (base 2) to base 9\nAnswer: -72460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 1298*k - 1300*k - 2, 0 = 4*v - 2*k + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -31, -5, -1, 151, -3.\nAnswer: -31, -5, -3, -2, -1, 1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 14792 = 4226. Suppose -5*c + 5 = 3*r - 3, -4 = -4*r. Is (0 + c)\/((-3)\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 78040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10830319*-5\nAnswer: 54151595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -502, -495, -488?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -196, -2, 0.10082?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -22*g + 28. Let a(d) = 11*d - 13. Let z(h) = -13*a(h) - 6*t(h). Calculate z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1261502, 2522553, 3783604, 5044655?\nAnswer: 6305706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.752543 + 0.7569. Round c to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59111, 235868, 530455, 942866, 1473095, 2121136, 2886983, 3770630?\n\"Answer: -i**3 + 58921*i**2 + i + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 482821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273660 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + -7 + 8 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80460 is divided by 19604?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833654534?\nAnswer: 2, 47, 30145261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 740a2 (base 11) to base 15\nAnswer: 21e9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(312\/(-32))*5\/(-10)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1.82 (c) 2.64 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8886570 divided by -74?\nAnswer: 4443285\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y - 3. Give o(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l. Let b(s) be the first derivative of -s**5\/30 - 8*s**3 + 8. Let h(q) be the third derivative of b(q). Calculate w(h(i)).\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(40) + sqrt(40)) - (2*sqrt(3240) + sqrt(40)))\/(((sqrt(96) + sqrt(96) + sqrt(96)*1)*6)\/sqrt(12)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - (57\/(-6))\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 - -92. Is -95 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*k - 65 + 740 + 5 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001036 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146687063 - 2616*g - 146687063.\nAnswer: -2616*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933\/218 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119501765\/274822 - -2\/412233. Let b = o - 436. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 3, h: 3, o: 9}. Give prob of sequence ooch.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 2809, 4212, 5615, 7018?\nAnswer: 8421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 11:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 842044 (base 10) to base 8\nAnswer: 3154474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -28 - -10) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 311*(8 - (-78)\/(-21) - (-4)\/(-14)). Calculate the greatest common factor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by -18258?\nAnswer: -79\/3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/3)\/l)**(-11\/6)\/(l**0)**22 assuming l is positive.\nAnswer: l**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + 21?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*u - 775*u + 3112*u + 2445*u + 1640*u.\nAnswer: 5948*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1154 - 1151. Let k(a) = 3*a - 2*a**3 - 3*a + 2*a - 2*a**2. Let j be k(-3). Calculate the greatest common factor of u and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 42\/47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 11*t**5\/60 - 7*t**3\/6 - t**2. Let v(y) be the first derivative of -3*y + 0*y**2 - 7 + 5\/3*y**3. What is -3*p(j) + 7*v(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y + 10262. Let m be d(0). Let g be (-16)\/(-72) - m\/9. What is g rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1417, 1583, 1859, 2245, 2741?\n\"Answer: 55*h**2 + h + 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let v = 2 + r. Suppose 0 = -3*u - 2*d - 4, -2*u - 16 = -3*u - 5*d. Put v, -3, u in descending order.\nAnswer: v, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -657*p**2 + 3828*p**2 - 304*p**2 + (p - p + 2*p)*(2*p - 6*p + 2*p) - 2*p**2 + 2*p**2 - p**2 - 4*p**2 + 4*p**2 + p**2 to l + d*p**2 + n*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1663*j + 270*j + 1268 = 466 - 591 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h**2 + 3*h**2 + 10*h**2.\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 252.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3 - -290377?\nAnswer: 290333.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 + 2*r - 2. Let i(d) = -d + 1. Let m(c) = -6*i(c) - z(c). Let x be m(-4). Suppose y = 5*y - x. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(0*q - 2*q**4 + 0*q)*(0 + 1 + 1) to the form i + o*q**3 + y*q**4 + l*q + p*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 214005?\nAnswer: -213652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -302102 (base 4) to base 15\nAnswer: -e48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 39.6. Let t = 0.5 + g. Let b = t - -14.49. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2444668 - 2444668 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3*f = 9. Is f less than or equal to 0.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + b = -72. Let n be b\/20 - 166\/(-10). Suppose -n*l = -11*l - 20. What is the highest common divisor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5788887274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 193\nAnswer: -175\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let r = d - -3. Solve 4*q + 2 + 10 = 4*m, r = m + 2*q - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41804246?\nAnswer: 2, 11, 479, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 135, 422, 1015, 2058, 3695, 6070, 9327, 13610?\n\"Answer: 24*j**3 + 9*j**2 + 92*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in minutes?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/17 <= -0.13157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -451, -438?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 14*a - 48. Give r(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 5*c**2 - 101375*c**3 + 101392*c**3 - 11*c**2.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77700?\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aacc when four letters picked without replacement from {a: 3, c: 2, b: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 17*g - 17. Let f be b(8). Let h = 44 - f. Suppose 4*a + 4*p = 24, 4 = -2*a - p + 11. Sort 4, 2, a, h in ascending order.\nAnswer: a, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {q: 2, j: 2, c: 4, x: 2, l: 1, g: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*d**5 - 53684*d**4 + 3*d**3 - 14329594*d?\nAnswer: 320*d**3 - 644208*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {a: 1, b: 1, w: 1, t: 3, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*1*(-2)\/(-4). Suppose 14 = 21*i - 7*i. Which is the third biggest value? (a) j (b) 4\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o + 1. Suppose -11 = -4*s + 13. Let y be v(s). Solve -22*j**4 - 3*j**5 - y*j**2 - 5*j**2 - 3*j**5 - 30*j**3 - 4*j = 0 for j.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 64*t + 942. Calculate o(-17).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10422 and 13230.\nAnswer: 2553390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:18 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-12))\/(((-1)\/(-8))\/(18\/(-72)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 - 69*q - 274. Let f be s(-11). Solve 5*u - 2*v - 7 = 0, u + f = 5*v + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1224 + 1958. Let q = h + -772. Which is the closest to 1\/4? (a) 4 (b) -2\/11 (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25783 = -358*k + 1479*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, 181, 366, 587, 844, 1137?\n\"Answer: 18*m**2 + 95*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(4 - 4 - x**3) + 0*x**3 + 3*x**3 - x**3 + 46*x**3 + 7*x**3 + 32*x**3)*(-4 - 4 + 3 + 3).\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9328 to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 1104069?\nAnswer: 1104068.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 29 = -4*i. Let u be ((i - 1) + 1)\/(-1). Let o = u - -3. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4 - a**3\/3 - a**2 + 2*a + 38. Let y be o(1). Solve -y*t + t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*b = 3, 0*b - 3*b + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/13, -0.4, 1, -37.6.\nAnswer: -37.6, -0.4, -2\/13, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {s: 1, i: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -1.7. Let l(v) = -2*v**3 + 38*v**2 - 40*v + 65. Let f be l(18). What is the closest to f in -4, 1, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 5*n**2 + n**2 + n**2 - 8*n. Let m(s) = s. Let j(v) = l(v) + 3*m(v). What is the second derivative of j(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 41 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/5992 and (21 - 103)*(4 - 2)\/48?\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. Suppose 0*f - 3*i - 16 = 5*f, 29 = -p*f + 3*i. Let t(h) = h**3 + 4*h**2 - 4*h - 5. What is t(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/15, 3.51, -3.7, -0.1, -0.3?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1393580 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:19 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2145 - 2101. Solve -u = y + 10*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - 3*d - d + (1 - 4 + 1)*(d + 0 + 0) - 3 + 3 + 4*d + 25*d - 49*d + 17 + 25*d as y*d + b and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 30 - (-44 - (-14 - 23))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*f**3 - 24*f**3 - 6*f**3)*(0*f - 2*f + 4*f) + (4*f**2 - f + f)*(-f**2 + 4*f**2 - f**2) to the form j*f**2 + o + r*f**4 + z*f**3 + b*f and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**19\/(c**(-12)*c**(-1\/5)) assuming c is positive.\nAnswer: c**(-414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 10 + 3*b**2 - 6*b**2 + 2*b**2 - 2*b. Let d(l) = l**3 - 521*l - 1543. Let z be d(-3). Determine j(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.7 - -63.702287. What is l rounded to five dps?\nAnswer: 0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 92954.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3, 1\/265, -1\/9, 1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*s**2*x**2 + 31*o*s + 7*s**2*x**2 + 3*s*x**2 wrt o.\nAnswer: s**2*x**2 + 31*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -5, 169 in decreasing order.\nAnswer: 169, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 154*a**3 + 6 - a**2 + 155*a**3 - 2 + 5. Let r be n(4). Suppose -12 = 11*p - r. Sort p, -5, 10 in descending order.\nAnswer: 10, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let h be (-8)\/(-384)*12 + 856\/416. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 151 + 40. Suppose 5*d = q + k, 3*d - 23 = q - 2. Suppose 3*s + 4 + d = 0. What is the third smallest value in s, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20)\/s**(-4))\/((s**(-1\/28)\/s)\/((s\/(s*s**(-1)*s))\/s)) assuming s is positive.\nAnswer: s**(-447\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 4*d. Let r = 7 - 4. Suppose -5*n - 2 - 6 = -r*c, 2*c - 2*n - 4 = 0. Solve d*x = y - x + c, 4*y + 3*x = -11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 78 = 3*n - w, -w + 378 = 5*n. Let l = -78 + n. Is (162 - 6*(-1)\/l) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 >= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1604.3407?\nAnswer: 1604.3407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 5*p**2 - 8*p - 6. Let h be a(-6). Let u = -10 + h. Let c = -2.33 + 2.23. What is the closest to c in -0.3, -1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 3*f**2 - 3*f + 3. Let r(s) = -s**2 + s - 1. Suppose 6*x = 8*x. Let p be (2 - x)*9\/6. Calculate p*r(t) + g(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.07 (b) 1 (c) 0.5 (d) 2\/13 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from yydjff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/n**(1\/15)*(n*n**1)**(2\/125) assuming n is positive.\nAnswer: n**(-3013\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 154*g + 668. What is v(47)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/65 and -43\/79841505.\nAnswer: 1037939565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99a + -2?\nAnswer: -9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6119100 rounded to the nearest ten thousand?\nAnswer: -6120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-12)*(-2205)\/(-12005)*98\/(-6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.52 + -38. Let u = 0.57 - h. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**3 + 14*v + 3. Let n(p) = 4*p**3 + 9*p + 2. Determine -5*g(o) + 8*n(o).\nAnswer: 2*o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - m - 16 = 0, 2*w - m - 11 = -0*m. Suppose 0 = -5*z + 43 - 18. Suppose z*q - 4 - 1 = 0. Calculate the greatest common factor of q and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 120, -4\/7 in increasing order.\nAnswer: -2, -4\/7, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i + 49, 7*i = 2*i + 3*a + 245. Let g = -20 + i. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 195193 - 195193.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:43 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 15 - 10)*(9*w + 0 + 0)*(3*w**2 + 2*w**4 - 3*w**2).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k**3 + 1450*k**2 + 492*k - 96. Calculate f(97).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 24407769.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(360) + 1*sqrt(360) - sqrt(360))\/sqrt(10))\/(sqrt(48) + sqrt(432)).\nAnswer: -4 + sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - -3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4396 and 287624?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 + s - 1. Let v(y) = -y**2. Let c(f) = -u(f) - v(f). Suppose 5*d = 3*m + 33, 0*d + 4*m = -4*d + 20. Is c(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 259*r + 17048. Determine f(-49).\nAnswer: 4357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**4 + 3*y**3 - 2*y + 86. Let x(u) = -13*u**4 - 5*u**3 + 4*u - 172. Let c(d) = -5*s(d) - 3*x(d). What is the second derivative of c(n) wrt n?\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3130*q + 3136. Calculate x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2299))*-5.\nAnswer: -55*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527899337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + 0.729803798\nAnswer: 0.609803798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1034, 45, 1, -2, -5 in decreasing order.\nAnswer: 45, 5, 2, 1, -2, -5, -1034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7908)\/1992 + 2 - -2)*(-5 - (-87)\/15)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42ca (base 13) to base 5\nAnswer: -244132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 + 14. Let a be z(-7). Let w(n) be the first derivative of 13*n**2\/2 + 19*n - 1. Is w(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2592728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (148 - 268)*15\/(-2) and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264047168?\nAnswer: 2, 7, 11, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4.7. Let n be 22\/(-3) + (-2)\/(-6). Let s be (-2)\/(n\/(21\/(-6))). Which is the closest to s? (a) -0.4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + 230)\/(4\/44).\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11998089179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1055\/22 + -160\/11. Let y = 63 + j. Let m be (-18)\/27 - (-10)\/6. Is y <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 + 577. Calculate the remainder when x is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 25. Solve h + h - o = 6, -5*o + 9 = x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 9*p**4\/4 + p**3\/3 - p**2\/2 + 3*p + 5. Let b be q(2). Suppose 17 = -z + b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 2*q + 6*a + 9, 3*q - 2*a - 3 = 0. Suppose 3*s + 2*h = 25, q*s = 8*s + 3*h - 42. What is the second biggest value in -1, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 11\/2 (c) 1.1 (d) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/(((-1825)\/(-1050))\/73).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 26. Suppose -s*b = 2*b + 3*g + 54, g - 2 = 0. Let y = -1 - b. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 27*((-57)\/(-9) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 387, -5, -7 in decreasing order.\nAnswer: 387, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + (-3290729)\/(-231). Let c = -14246 + b. Let h = c - -2\/11. Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 5*x + 6*x)*(3*x**4 + x**4 - 2*x**4 + (-4 + 4 + 1)*(0*x**3 + 0*x**3 - x**4) - x**4 - 2*x**4 + x**4).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 8 = 4*r, 10*y = r + 6 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l - 90. Let a be (l\/45)\/((-2)\/(-3)). What is the greatest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:45 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*j - 83. Let u(x) = 6*x + 2. Let n be u(1). Calculate the highest common divisor of j and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 17*t - 15. Let k be l(7). What is the third derivative of -4*m**k + 17*m**2 - 7*m**2 + 2*m**6 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 6, 2\/3, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 19*i - 1650. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57066817 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, 43, 161, 325, 535, 791?\n\"Answer: 23*v**2 + 3*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 10*d - 13. Let i be h(12). Let y be i*-6*(-24)\/(-18). Let c = y + 128. What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 7.059.\nAnswer: 7.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**2 + 2*l + 1. Let h(z) = -19*z**2 + 19*z + 7. Calculate -2*d(x) - h(x).\nAnswer: 5*x**2 - 23*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x - 1. Let n(w) = 3*w**2 + 2*w + 2. Let i(g) = 2*n(g) + 5*o(g). Let v be i(1). Let l be ((-4)\/(-6))\/(v\/(-1170)). Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97617256.\nAnswer: 2, 11, 1109287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 10. Let g(b) = 1612*b**2 + 1. Give u(g(k)).\nAnswer: 1612*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + (-1 - 0). Let x = -2 - h. Let q be 2\/(5 + 14 - 11). Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*702709.2\nAnswer: 70270.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3 + -2 - (-3 + 15\/5)). Which is the third smallest value? (a) -0.1 (b) -4\/19 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:23 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -330, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62483074.\nAnswer: 2, 487, 64151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-196)\/(-16) + 4\/(-16). Suppose -36 = -z*i + 8*i. What is the least common multiple of i and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3457 - 4.3357. What is the third smallest value in 2, -0.11, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0079 and 512.\nAnswer: 4.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -26*x**3 - 11*x**2 + 5. Let m(f) = 13*f**3 + 5*f**2 - 2. Determine 7*m(a) + 3*w(a).\nAnswer: 13*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*(32\/(-28))\/(980\/(-22981))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 27*v - b = -1, 0 = 3*b - 3. Solve -2*g + 12 - 4 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(0 + 4\/6). Suppose a = -2*b, -4*a - 4*b + 9 + 3 = 0. Let q be 2 + 4\/a - m. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -19*m. Suppose 0 = 3*i + 5*w + 67, 3*w - 34 + 49 = i. Let n(q) = -76*q. Calculate i*r(g) + 2*n(g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/17 (b) -1.3 (c) -0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 327501465?\nAnswer: -327501471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/15 - 4)*(117\/(-18) + 8). Let y(x) be the third derivative of 0 + 5\/6*x**3 + 0*x - 1\/12*x**5 + 4*x**2 - 1\/120*x**6 - 1\/6*x**4. Calculate y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m = 0. Suppose m*n + 15 = 3*n. Calculate the highest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d7 + 11b8?\nAnswer: ee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20518 divided by 10259.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -826 - -826.000000644. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -21\/4 (c) -8\/11 (d) -0.1 (e) -2 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381 (base 9) to base 4.\nAnswer: -10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 - 2432128*t - 2432124 = 0.\nAnswer: -608031, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -66.21. Round r to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1) + 0 + 1. Let s = 53 - 50.14. Let t = s - -0.14. What is the nearest to -1\/4 in 2\/9, f, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/736 and 91\/3174?\nAnswer: 50784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/91*1715\/(-294).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 118*c**2 + 247*c + 1177. What is b(-116)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((12 - (-2 + 3)) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 5*s + 151 = 0, 33841 = -3*s + 33742 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*m + 94 = -77 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3316\/125? (a) 7 (b) 2\/5 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 12*x + 14. Let p(z) = -z**3 - 10*z**2 + 26*z + 37. Let t(k) = k**3 + 10*k**2 + 23*k + 2. Let l be t(-7). Let i be p(l). What is d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o + 0*o)*(23*o + 15*o - 98*o).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjo when three letters picked without replacement from {j: 1, f: 7, o: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -1683\/56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278 and 23553.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 89404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 8. Calculate the lowest common multiple of 4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 3. Let a be w(1). Let q be ((-84)\/(-8))\/a*2. Find the third derivative of -6*n**3 - 8*n**3 + 2*n**3 + 4*n**q + 3*n**2 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 20*q**2 + 15*q. Let x(o) = -3*o. Calculate x(a(g)).\nAnswer: -60*g**2 - 45*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:40 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 2*o**2 - o + (3 - 3 + 1)*(82*o**2 - 429*o**2 + 149*o**2) to the form z + r*o**2 + d*o and give r.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + z - 1. Let c(i) = -3*i**3 - 21*i**2 - 4*i + 4. Let a(o) = 4*c(o) + 11*w(o). Give a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(140\/24). Let d = -121\/140 + h. Suppose 0 = -2*w - w + 6. Sort -4, d, w in increasing order.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/846 and -69\/2444.\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(72) + -1)*5)**2 + 5 + 1 + sqrt(72)\/sqrt(4).\nAnswer: -537*sqrt(2) + 1887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567818 at most 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 1:11 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + 10000100011001100010?\nAnswer: 10000100011000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 21*o + 16082 = 2*v, 3*o = -5*v + 40149. What are the prime factors of v?\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 5, m: 5}. Give prob of picking 1 c and 2 p.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/2 - (-9)\/(-18)) + 4. Solve 0 = -j*s + 10, 3*a + 3 - 12 = -3*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**3 + 3*q**2 + 2*q - 2. Calculate y(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:53 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2198 = 15*s. Is s equal to -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6272 rounded to one dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -542503, -542574, -542645, -542716, -542787?\n\"Answer: -71*s - 542432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - ((44 - 25) + -93 + 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 50*m**3 - 5. Let l = -67 - -69. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 785.6 - 786. Let j = 1640\/9 - 182. Which is the closest to j? (a) p (b) 0 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2580 and 84.\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22985?\nAnswer: 5, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = w + 34*y - 11, 3*y + 14 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(23*v**2 + 24*v**2 - 53*v**2)*(0*v**2 + 4*v**2 - 3*v**2).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (25 + (-5 - 9) - 22) - (1 - 29).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1395.175 to zero decimal places.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 96734142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 - 2*n - 83. Give t(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27784450490 and -2.\nAnswer: 27784450488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/20 + 7*s**4\/12 + 3*s**3\/2 - 9*s**2\/2 - 3*s. Give r(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 76*b**2 - 42*b - 23. Let p be g(-10). Round p to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69.3 - 9.7. Let g = -5.321986 - -84.321056. Let a = k + g. Round a to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 173 + 267. Let k be (n\/8 + -4)*12\/9. What is the greatest common factor of 34 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67837 divided by 881.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g**3 - 127*g**2 - 1149 wrt g?\nAnswer: 27*g**2 - 254*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 15*r - 15*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1769, -1755, -1727, -1679, -1605, -1499, -1355, -1167?\n\"Answer: f**3 + f**2 + 4*f - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23517852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -59. Differentiate 2 + i - 39*k + 12 + 47*k wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 not equal to 1098.5415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 17}. Give prob of picking 2 o.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 b when four letters picked without replacement from {k: 13, b: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/140)\/(10\/(-40))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -173089 take away 0?\nAnswer: -173089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148398611.\nAnswer: 127, 1168493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(500)*-1)\/(sqrt(144)*-3*3).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 0\/((-24)\/6). Let o be h - 13\/(39\/(-18)). Suppose -5*x + 10 = 5*q - 0*x, o*x = q - 11. Solve q*m + 3*a = 32, 2 = -a + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-896)\/(-108))\/((-6)\/9).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.124 - 2.022825114.\nAnswer: -2.146825114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) 2\/9 (c) 0.03 (d) -1 (e) -100 (f) 11 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 15. Give j(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -9.\nAnswer: 170\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 28, 57, 96, 145, 204, 273?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 35*b**2 + 106*b + 5. Let j be z(-3). Let t = 7 - 5. Solve -3*a - 19 = -5*r, -j*r + 8 = t*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - 7*k + 2. Suppose -8 = 4*p - 4, 0 = 2*v + 3*p + 15. Determine x(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -895*g**4\/4 - 2*g**3 + 55*g**2\/2 - 34. Find the third derivative of u(c) wrt c.\nAnswer: -5370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56249*m**4 + 62494*m wrt m?\nAnswer: 674988*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565122 (base 11) to base 9.\nAnswer: -1621380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 46. Let o be v(-11). Suppose 3*a - 5 = o*d, 5*d + 4*a - 30 = 3*d. Solve -4*j - 2 = -d*p - 5, j = 4*p + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/(-1)))\/((-6)\/(-1326)*13)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - -1*sqrt(147)*4)*-5 + 5)*2.\nAnswer: -350*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -11. Let y = -2.2 - b. Is -0.3 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26610995 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 727*c - 6464. Determine q(-718).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqttttvbttttbii. What is prob of picking 2 t and 1 i?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93692142.\nAnswer: 2, 3, 73, 113, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*l + 3*q, 4*l - 7*q + 27 = -0*l. Solve 0 = -18*x + 17*x - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-1750)*-25*5\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -32*r**2 + 46*r - 10. Calculate y(4).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*j - 522 = 114. What is the fourth biggest value in -1993, j, -3\/2, -5, -2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -912944 - -1503043. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 71 = y, -3*y + 39 = 2*r - 119. Suppose -25*g + 11*g + y = 0. Let j(m) = 4*m + 2. Determine j(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnwwwnw. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 58 = 14. Let h = 28 - 28. Suppose 0 = -h*m + 7*m - 28. Solve v - d = 5*x - v, 0 = -2*x + m*v - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128754 by 414.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36112 + -2?\nAnswer: -36114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4779 - -4969. What is the greatest common divisor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 5*z + 6.\nAnswer: (z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -7*m + 26. Which is the closest to -1? (a) 2\/7 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 201, 144, 81, 12, -63, -144, -231?\n\"Answer: -3*p**2 - 48*p + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d + 72604 = -406239 + 33288. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:54 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) 4 (b) 2.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 171815878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 2*x + 9, 14038*p - 7*x = 14043*p - 39 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15726525 is divided by 1572641.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5\/13 (b) -3\/7 (c) 0.3 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4*r + 5*r + r)*(2 + r - 2) to o*r**2 + i + b*r and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-16))\/(1\/12). Let c be 3*f\/(-6)*-4. Suppose -26 = 2*b - 4*u, -3*b + 2*u = c*u - 1. Let o(g) = g**2 + 5*g - 2. Determine o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8302*j**2 - j + 160601 wrt j?\nAnswer: -16604*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/2 + 153614*q**2 + 22207201*q\/2 + 3684132 = 0. What is q?\nAnswer: -102337, -72, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 31 and -60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-8) - (-2)\/(-8). Suppose 0 = 3*p - z + 1 + 9, v*z - 22 = 5*p. Which is the biggest value? (a) p (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t - 6. Let k be b(0). Let n(w) = 10*w - 6. Let f(o) = -10*o + 5. Calculate k*f(h) - 5*n(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37 and 130?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090857295 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d + d - 6*d + 3*d + 4 wrt d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1335548 (base 9) to base 2\nAnswer: 10110010110011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42 - -0.4. Let g = v + 5.02. Let q = 2\/119 + 15\/119. Which is the second biggest value? (a) g (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*((-60)\/(-16) + -3). Suppose p + 2*k - 15 = -3, t*p = -4*k + 26. Let o(z) = -z**3 - 3*z**p - 4 - 4*z - 2 + 7 - 4. Give o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 8*c - 21 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 38. Let h be a(-14). Suppose -4*c = -6 + h. What is the nearest to -1 in c, 1\/9, 0.2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1433 less than or equal to -1433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2f3f4?\nAnswer: -2f3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12389*m**4 - 609*m - 1797927 wrt m.\nAnswer: 49556*m**3 - 609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*x = 2280, -4*x - 453 = -m + 123. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/24 + 7*y**3\/3 + 4*y**2. Differentiate o(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89370)\/4634)\/(12\/28).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**21*q)\/q)\/q**(-9\/8) assuming q is positive.\nAnswer: q**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104441234 + -120?\nAnswer: -104441404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-260)\/(-275). Let z = -13 + 51\/4. What is the nearest to -1 in z, 0.3, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9383396 by 213259.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 63.05257s to nanoseconds.\nAnswer: 63052570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 52. Let q be t(12). Let s be (156\/(-15))\/((52\/q)\/13). Calculate the greatest common factor of s and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.008, -77, 2, -3?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5, p: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6172 = -3104. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14701 - 8922. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107.58 - 98.58. Which is smaller: a or -413?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051\/106046 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:23 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -554 or -550?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/35))**6\/(m**(-38)\/m*m*m*m*m*m**(-2\/15)*m))**39 assuming m is positive.\nAnswer: m**(46826\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 15*s**2 - 14*s + 10. Let m be h(-16). Let t = 27 + m. Suppose -t*n - 3 - 37 = 0. What is the third biggest value in -1\/6, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 - j**2)*(-j + 2 + 5 + 7).\nAnswer: j**3 - 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l**(-3))\/((l**(-6)*l)\/((l*l**(-9)*l)\/l))*(l**1)**(-14\/3)*(l\/l**1)\/l*l\/((l**(-2\/3)\/l)\/l) assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*s - 4\/5*s**2 + 12.\nAnswer: -4*(s - 3)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.748957 in 0, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -2 - 2)*(-14 + 73). Solve 15*s - 16 = x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 141884444, 5, -5, 0?\nAnswer: 141884444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/27)))\/(c*c*c\/((c\/(c\/c**(-13)))\/c)))**(1\/14) assuming c is positive.\nAnswer: c**(-229\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyybgbylgbaqyyqb. What is prob of sequence bbyy?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 553\/2. Let t(b) be the first derivative of b - y*b**2 + 4 - 1\/3*b**3. Determine t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.11, -2\/17, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16*(3 + ((-380)\/16)\/5). Calculate the highest common factor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1*sqrt(84)*3 + sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))*-3)\/(-1*-2*sqrt(1728) + 5*-2*sqrt(1728)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52106557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 + q + 4. Suppose -5*n + 5*m = 20, 4*n + n - 2*m = -8. Suppose -3*h + 3 = 3*p - n, -h + 21 = -3*p. What is the units digit of j(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/10*4\/(-6). What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrh when three letters picked without replacement from jrhhtwtw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(0 + sqrt(162)) - sqrt(162)) + (sqrt(162) + 0 + sqrt(162))*3 + 2 + -3*1*-2*sqrt(162))**2*4.\nAnswer: 4320*sqrt(2) + 145864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80649 and 46426014.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g + 33 = 0. Let v = 13 - g. Suppose 2*i = 5*i - 3. What is the least common multiple of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*f - 252*f + 498*f - 292 + 283.\nAnswer: -89*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 5*m**2 + 14*m**3 - 5*m**2 - 32591 + 32587 - 7*m**3.\nAnswer: 14*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) -6\/17 (c) -2533 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*a**2 - 955*a**2 + 552*a**3 + 1905*a**2.\nAnswer: 552*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 122033.84171+146\nAnswer: 122179.84171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*c + 111*c - 6. Let w be (-4 - (28 + -4))\/c. Calculate the highest common divisor of w and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.4 - -7. Let j = g + 14. Let d = -2.5999988 + j. Round d to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:29 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 124*c**2 + 6*c. Let q(m) = -372*m**2 - 17*m. Determine -6*q(j) - 17*r(j).\nAnswer: 124*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13518 and 91\/204.\nAnswer: 459612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146 = -5*a - 296. Suppose 4*w = -4*x + 348, w + 4*x = -w + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 4*q - 4*q + (-94 - 5*q + 94)*(4*q - 4*q - 2*q) - 2 + 2 + 2 - q**2 to the form r*q + p + h*q**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.119 + 138.419. Let p = n + -120. What is p rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 453*t + 7711. Determine u(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-4)*20\/(-7). Let s = o + -8. What is the least common multiple of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxdxpd. Give prob of sequence dpd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -108. Suppose 5*i = x*u + 35, 5*i - 15 = 3*u + 15. Solve i*o + 2*o + 12 = d, -4*o = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 359*z**7\/21 + z**4\/2 - 77*z**3\/6 + z**2 + 4531*z. What is the third derivative of d(p) wrt p?\nAnswer: 43080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 9:02 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010100011 (base 2) to base 5.\nAnswer: -41343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534816 and 1485?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 1. Let u(r) be the first derivative of -r**2 + 4*r - 3. Let w = -4 - -5. Calculate w*u(y) + 4*c(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9493\/4 greater than or equal to -2372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 6. Let q be 714\/66 - 4\/(-22). Let n be y(q). Let c = -3 - n. Solve 5*f - c*f = 3*w + 6, 0 = -4*w - 2*f - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 9, 4, -9, 5, 6 in descending order.\nAnswer: 216, 9, 6, 5, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n, 4*c - n - 64 = 0. Let p = 35 - c. Calculate the greatest common factor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360481.\nAnswer: 11, 32771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12600\/170)\/35 + (-57)\/51 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81\/4 + -21. Let g = -0.04 + -0.26. Put g, 1, r in decreasing order.\nAnswer: 1, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8157 - 146881\/18. What is the common denominator of d and 91\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssexhjeshjxxxs. Give prob of sequence jj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let h(p) = 1. Let k(r) = 6*h(r) - 5*z(r). Let m(n) = -n. What is k(d) + 3*m(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1058c895 + -3?\nAnswer: 1058c892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 269405923 minus 0.03845?\nAnswer: 269405922.96155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221110120221 - 2?\nAnswer: -11221110121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 799*v**3 - 6*v**2 - 7*v - 10. Suppose z + 8 = 2*z. Let a = 3 - z. Let k be g(a). What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(33)*1)\/sqrt(3))**2 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*n - 8*n = 22, 3*n = 3*y - 15. Let p(f) = -1041*f**y - 4*f - f**3 + 11*f - 6 + 1044*f**2 + 0*f**3. Suppose 8*d - 20 = 3*d. What is p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 117\/(-26)*4\/(-3). Suppose 3*w + 23 = -4*i, -2*w - 17 = i + 2*i. Let d = g - w. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**3 + h**2 - 1. Let u be w(1). Let p = u + -4. Suppose -q = 5, -q - 8 = -4*g + p*q. Let v(d) = d**3 + 5*d**2 + 4*d - 1. Give v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 7459782.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10649461 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 4) + 369\/45?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - p = 12, -4*y + 3*p + 6 + 43 = 0. What is the remainder when 270 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than -576\/433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-2\/9)*q\/(q*q*((q*q**1)\/q*q)\/q)*q*q*q\/(q*q*q**(1\/3)*q))\/((q*q\/(q**7\/q))\/q*q**6*q)**36 assuming q is positive.\nAnswer: q**(-223\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 10*c + 2. Suppose -2*s = 10 + 10. Let j be o(s). What is the second derivative of -4*g**5 - 8*g - g**5 + j*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12705 + 126943\/10. Let z(o) = o**3 - o**2 - o - 32. Let y be z(0). Find the common denominator of d and -1 - (3 - (-108)\/y).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20767*s**2 + 616*s - 5608027 wrt s?\nAnswer: 41534*s + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14637424 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-7 - (5 + -19)) - 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o - 5 + 5 - o**2.\nAnswer: -o**2 - 61*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let i(k) = -6 + 581*k + 4475*k + 6. Give i(o(f)).\nAnswer: 5056*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbffrsrrrrfarjbsff. Give prob of picking 2 b and 1 j.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/11 - 2296\/(-528). What is the third smallest value in 2\/21, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/((-6)\/4). Let i = 4.1 + -8.1. Which is the second biggest value? (a) -2\/13 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1566 divided by 87.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 12:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*j - 69*j = 588840000. What is j rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1027557?\nAnswer: 11303127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -6, -2, 16 in decreasing order.\nAnswer: 16, 4, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0255 - 1.025512638. What is b rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -3\/4 (b) 9284 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/6 - 123*l**5\/5 - 158*l**4 - 340*l**3 - 256*l**2 + 985. Factor k(g).\nAnswer: g*(g - 128)*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -831, -1374, -2327, -3732, -5631, -8066, -11079?\n\"Answer: -7*g**3 - 163*g**2 - 5*g - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 5*j + 26 = 3*f, -2*j - 10 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 70 + 72. Put b, -0.2, 4, 55 in decreasing order.\nAnswer: 55, 4, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2734066 and -17\/120.\nAnswer: 164043960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 480*c**3 + 1659*c wrt c?\nAnswer: 2880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**2 + 42*a**2 + 23*a**2 - 3*a + 14*a**2 + 2*a**2.\nAnswer: 108*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2404.6246163 - -3.6952237. Let w = 2408 - s. Let i = w + 0.32. What is i rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = -2*z + 834, 5*a + 4*z = 4164. Suppose -216 = -t + 3*d, -4*d - a = -0*t - 4*t. What is the highest common factor of 136 and t?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from hhxxiahiah.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-11)*-7*3\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 - 2*i - 2. Let x(j) = 27*j**2 + 7*j + 7. Give 7*t(h) + 2*x(h).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 - 8*h**3\/3 - 9*h - 6. Let z be f(8). Let b be (z\/(-6))\/((-3)\/(-6)). Solve -b*x + 9 = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 1 - 3\/10*u**5 + u**2 - 1\/2*u**4 - 1\/3*u**3 + 0*u. Let i(m) be the second derivative of r(m). Suppose i(v) = 0. Calculate v.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -105, -1, 1\/4, -0.1?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 183 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1475744 (base 12) to base 6\nAnswer: 224352524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -24.4. Let p = 3.4 + i. Let n be 10\/4*-1 - -2. Which is the closest to n? (a) p (b) 0.4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 369754070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - ((0 - -2) + -2)) + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063553 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 3*y - y**3 + 4*y - 10*y.\nAnswer: 2*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -217\/3 in -1\/2, 4948, 0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 2260*p + 2038. Calculate n(252).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.0594 micrometers in centimeters?\nAnswer: 0.01250594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321427*y**3 + 160028*y**3 + 161398*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 6*k + 170)*((-2 + 3 + 2)*(4*k + k - 3*k) - 2*k - 3 + 3).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4899 = -238*w + 215*w. Which is the fourth biggest value? (a) -1 (b) -4\/3 (c) w (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3907494*n**2 + 4842*n - 3\/2.\nAnswer: -3*(1614*n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13739?\nAnswer: 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 8. Let f(c) = 0 - 9 - 2*c + 0*c + c. Let l(s) = 4*f(s) - 5*n(s). Calculate the least common multiple of 6 and l(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (582\/2619)\/((-2)\/108)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:43 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/4*(-4)\/114. Let o be 0*-6*(-4)\/(-72). Is l greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8174649 to the nearest integer?\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a factor of 264576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = 3. Suppose 0*m = 3*m. Suppose o*l = -m*l + 9. Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-3)*u)*u\/(u\/(u*u**(-5\/6))))\/(u**2*u)**(-1\/12) assuming u is positive.\nAnswer: u**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2)*-10*(-2)\/(-4). Let v(i) = -i**3 + 4*i**2 - 8*i + 7. Let l be v(x). Let o = 27 - l. Calculate the highest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26134.49 + -3746749\nAnswer: -3772883.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y - 2*h - 33 = -35*y, 72 = -18*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -466, -870, -8 in decreasing order.\nAnswer: -2, -8, -466, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*k + 575*k = 13155. Solve -876*i + 4 = -k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13 (b) -2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4752)*-1 - sqrt(4752) - sqrt(4752))\/(sqrt(30)\/(sqrt(70)\/sqrt(28))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -0.023.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5718*v + 146. Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/2, 0, -86936 in ascending order.\nAnswer: -86936, 0, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2496*a**6 + 3*a**4 + 16*a**3 - 2*a**2 + 2947*a + 8 wrt a?\nAnswer: 299520*a**3 + 72*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*sqrt(102) + sqrt(102))*-3 - 4*(-2*sqrt(102) - sqrt(102)))\/(sqrt(72)\/(sqrt(12) - sqrt(192)) + 1*2*sqrt(6)).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/493*(-8)\/(-16).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.4. Let o = h + 0.3. Which is the second smallest value? (a) 3 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77133 is divided by 76765.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -21*q**4 + 2495898*q**3 + 9983928*q**2 = 0.\nAnswer: -4, 0, 831994\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*p - 84*p + 37*p - 1 + p**2 + (3*p**2 - 2*p**2 - 2*p**2)*(-3 - 3 + 4) + 3*p - 3*p - p**2.\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 26.2, 0.1, -10, -1\/9, 0.06?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18232215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/90 and 131\/23238?\nAnswer: 116190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49078, -49003, -48878, -48703, -48478?\n\"Answer: 25*v**2 - 49103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0, -1\/19, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80769453 to the nearest integer?\nAnswer: 8987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/198 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-4)\/(-2)) + (-51)\/(-18). Factor s*t**2 - 16\/3*t + 4\/3.\nAnswer: (t - 2)*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 16 = -3*x, -4*b = -2*x + 5 + 7. Sort -1, 0, x in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8 = 2*f. Suppose f = 3*x - 7*x. Does -1 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1723063 (base 8) to base 11.\nAnswer: -3126a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.218 - -3.318. What is the closest to w in -1, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 199670462, 399340932, 599011404, 798681878, 998352354, 1198022832?\n\"Answer: r**2 + 199670467*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82458 and 78642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-5 - 0) + 21 + -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500597 is divided by 166853.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 7. Let c(d) = -d - 1. Let x(f) = 4*c(f) + u(f). Let n be (1 - (1 - 0)) + 0. Give x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141619 is divided by 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2. Let v(b) be the second derivative of 15*b + 0 - 5\/12*b**4 + 0*b**2 + 0*b**3. What is v(i(n))?\nAnswer: -125*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120\/210 - (-731)\/7 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-315)\/42 + 198\/36)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1053))*2 + 2 + 0 + sqrt(1053) + -1)**2.\nAnswer: -54*sqrt(13) + 9478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 2460 = 1704 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 131\/117 + -92\/117. What is the closest to t in -3, -1\/3, -0.76, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 not equal to 138\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -4, 59, -1, -241 in decreasing order.\nAnswer: 59, 0, -1, -4, -9, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/6*28\/70. What is the nearest to 2\/17 in d, 0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 49 + 47. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = -m. Let o = m + 8. What is the second derivative of s + o*s - s + 3*s**3 + 2*s wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/453, -0.1, 4\/5.\nAnswer: -0.1, -2\/453, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.9746 rounded to 1 dp?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 573214795\/36 + -63027583\/4. Let d = 166199 - l. Let v = d - 462. Which is the second smallest value? (a) -0.1 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from cnncocncnc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 24*v**2 - 40*v + 65. Determine r(2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**3 + 2*f**2 + f - 2. Let t be y(-2). Let a = 37 - 25. What is the greatest common factor of a and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38656711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182\/3 - 60. Suppose 0 + c*i**2 + 1\/3*i**3 + 1\/3*i = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*32\/(-104).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.48 and -14.724.\nAnswer: 22.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - -139. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 2, a: 3, f: 4}. What is prob of sequence onaa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*n - 12 - 3\/4*n**2.\nAnswer: -3*(n + 2)*(n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675\/(-525)*(-7)\/1134*-4.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 0*m + 3*m + (1 + 1 - 1)*(0*m + 2*m - 4*m) + 2*m + 4*m - 5*m)*(1 + 2 - 8) + 21*m - 41*m + 26*m to the form t*m + s and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5675813 divided by 143.\nAnswer: -39691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - 16. Suppose -s + u = -0*s. What is the derivative of -4*k**3 + 3 - k**4 + s*k**3 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/42*15\/(-10). What is the nearest to p in 1, -4, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5002*o + 14743*o - 1 - 5004*o - 4759*o.\nAnswer: -22*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 2. Let v(m) = -m + 5. Let b be v(0). Calculate the remainder when z(b) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 243 = -3*t + 132, 0 = -t - 2*a + 123. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10832, 21586, 32340?\n\"Answer: 10754*k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58419266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 277 = -62. Let a = z + -43. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 44*f**2 + 3*f + 23. Let g(u) = 2*u**3 + 66*u**2 - 4*u - 34. Let d(j) = 5*g(j) + 8*q(j). What is the tens digit of d(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5\/7 + 656*w**4 + 55656*w**3\/7 + 28048*w**2\/7 - 241412*w\/7 + 153120\/7 = 0 for w.\nAnswer: -11, -3, 1, 1160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -177, -269, -361?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 11*w = -20. Let j(m) = -m**2 + 2*m - 1. Let c(f) be the third derivative of f**5\/60 - f**4\/12 + f**3\/6 + 3*f**2. Calculate w*j(p) - 3*c(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3.9263.\nAnswer: 19.6315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113465*0.1.\nAnswer: 11346.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47191969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-40)*(-46)\/(-23)*(-4)\/((-8)\/87).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(128))**2 + 3 + (sqrt(40)\/sqrt(8))**2.\nAnswer: 517\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*a + 8*o, -40289*a = -40289*a - 4*o - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 17. Let v(k) = -9*k + 16. List the prime factors of v(n).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2422430 divided by 3.\nAnswer: -2422430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31302041 (base 5) to base 9.\nAnswer: -435145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-13 - -4) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286 - -298. Suppose x + 8 = d + 3*d, -4*d + 8 = 3*x. Let s be x*((-6)\/4 - -1). Solve -t + 4*t + z = s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1300 - 117 = 7*x. Suppose -5*j = -10, 23*p + 3*j = 28*p - x. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3714 - 3714.3802. What is j rounded to 2 decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:35 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -88. Let n = -23 - -26. Let c be (n - 4)*(-6 - -2) - -3. What is the greatest common divisor of s and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 4 (c) 334\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -29. What is the third derivative of -5*k**2 + 4*k**2 + p*k**6 - k**2 wrt k?\nAnswer: 1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-18) - (-56)\/(-63). Is m\/(((-1)\/8465*-5)\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7308?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 7, j: 1, s: 4}. Give prob of picking 2 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404522 is divided by 36770.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**3 - 97*m**3 + 55*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2492, 5000, 7522, 10064, 12632, 15232, 17870?\n\"Answer: o**3 + o**2 + 2498*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -51, -76?\n\"Answer: -25*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*f, -14 = -u - u - 2*f. Suppose -18 - 17 = -u*a. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65019, 130042, 195053, 260052, 325039, 390014, 454977?\n\"Answer: -6*y**2 + 65041*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let i be (-34)\/28 - 3\/x. Suppose -3 = -2*f - f. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Suppose -2*q = q - 36. Let v be 6 - (4 + q\/(-4)). Suppose -3*f - 9 + 12 = 0. Put f, v, -4 in decreasing order.\nAnswer: v, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519915, 1039816, 1559713, 2079606?\nAnswer: 2599495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 0*h**4 + h**4 + (0*h**3 + 2*h**3 + 0*h**3)*(0*h + h - 2*h) + h**4 + 0 + 0 + (2 - 2*h - 2)*(-2*h + 2*h + 2*h**3).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 35*q = -116*z - 574, 2*z - 35 = 5*q + 6*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**3\/6 + 3*u**2 - 4479*u + 1. Let d(y) = -29*y. What is t(d(i))?\nAnswer: -29*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/n)**(-11)\/(n**(-3\/10)*n*n\/((n**(3\/11)*n)\/n)) assuming n is positive.\nAnswer: n**(259\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-184)\/(-44) - 6\/33. Suppose 0 = h*f + 2*v - 151 - 41, 0 = -4*f + 5*v + 220. Suppose -2*l - 3*l + f = 0. Solve -2 = 3*o + k, 3*o - 2*k = -k - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*m + 536 - 177*m - 535 - m**2 - 4*m**2 - 462*m**5 wrt m?\nAnswer: -9240*m**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255.41 rounded to the nearest ten?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36686.\nAnswer: 2, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c + 136. Let s be f(-19). Suppose 15*j - 16*j + 149 = 5*a, 0 = j - s*a - 165. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 10*h - 36. Determine x(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3 + 0. Let c = -9 - -5. What is the closest to p in 3, -2, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Let p be q(8). Suppose -2*c = p*c - 2*i, c = -3*i + 14. Let s(d) = 2*d**2 - c*d**2 - d**2. Let n(o) = 8*o. What is n(s(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12568.818 take away -0.2?\nAnswer: 12569.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*i + 59 = 42, 0 = -3*v + 5*i - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/36 - 1085*u**3\/9 + 1177225*u**2\/6 - 1277289125*u\/9 - 2496. Factor w(v).\nAnswer: (v - 1085)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 10, 38, 98, 202, 362, 590?\n\"Answer: 2*n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(19) + 0 + (((-2*sqrt(475) - sqrt(475)) + sqrt(475) - sqrt(475))*-2 - sqrt(475)) + 3.\nAnswer: 12 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 at most as big as -353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 17*q**2 - 45*q + 85. Let b(t) = 2*t**3 - 13*t**2 - 45*t + 86. Let f(v) = 4*b(v) - 5*u(v). Factor f(s).\nAnswer: 3*(s - 1)*(s + 3)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1395\/36 + -13 - (-6)\/(-8). Let r(t) = -2*t**3 + t**2 + 2*t + 1. Let h be r(-1). Solve 0 = -7*k + h*k + u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oidodloydoyo. Give prob of picking 1 d, 1 o, and 1 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813 at least 3799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-72)\/(-36) + (2 + -3 - 2))*0. Solve b = 79*i - 81*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*((k\/k**7)\/k)\/k)\/k))\/k)\/(k\/k**(-6\/7))*(k*k**0*k)**38)**38)**(-47) assuming k is positive.\nAnswer: k**(-1026950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 174*b**2 + 6 + 5 - 6 to f + l*b + a*b**2 and give a.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 + -1097\/6. Let v(y) be the second derivative of c*y**3 - 4*y + 0 + 1\/2*y**2. Let s(i) = 4*i + 3. Give -s(g) + 5*v(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0253 and -0.0537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 4*c + 3*c**2 - 3 + 4*c. Let i(r) = -9*r**2 + 2*r - 1. Let s be i(1). Let d be q(s). What is the closest to 2\/5 in -2, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 11277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**3 + 143*f**2 + 7*f + 260. Give w(16).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 3*a**2 + 3*a + 3. Let v(k) = -3 + 10*k - 9*k + 4 + k**2. What is d(h) - 3*v(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*n - 3586*n**2 - 42*n + 3562*n**2 wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 919, 931, 943?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/2*(-26652)\/(-64). Let s = y - 2077. Find the common denominator of -77\/2 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvuuvuuuuvuvuv. Give prob of picking 3 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 375*f**4 - 6756*f**3 - 20532*f**2 + 72864*f + 179712 = 0.\nAnswer: -104, -16, -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*m + 264*m - 121360 = 0. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/70 and 31\/116797?\nAnswer: 8175790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 42, 0, 3 in increasing order.\nAnswer: -6, -1, 0, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 9639.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*y - 691*y - 6 + 143*y + 6.\nAnswer: -739*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4638\/17 at most as big as -273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 190224, -2 in descending order.\nAnswer: 190224, 80, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmifu. What is prob of sequence tm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 9) to base 15\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -207 times -8\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -0.1. Let h = 13 - 105\/8. What is the second biggest value in -0.3, a, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1465*p**3 - 48678*p**3 - 288443*p**3 - 4*p**2.\nAnswer: -338586*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6903 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 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: Collect the terms in 72 + 11*h**2 - 158 + 49 + 37 - 48*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l - 34. Let a be f(4). Suppose w + 1 = 3*z, -1 = 4*w - 2*w - 5*z. Let k = 2587 - 2579. Solve k + w = a*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36557\/3 + 12137. Let x = -55 + 6. Do x and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 7}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + u + 293 = 2*v, -4*v + 1172 = 5*u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - (2 - -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxxxxxatxxxa. Give prob of picking 1 t and 3 x.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -385000 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = x + 3*x - 16, 2*c - 4*x = -24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 4. Let q(o) = -o - 2. Let z(d) = -2*d + 17. Let a(t) = -2*q(t) - z(t). Let g(w) = w - 6. Let k be g(4). Determine k*a(y) - 7*j(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*q = -0*a - 88, 2*a = -2*q + 88. Let x = 115 - a. Suppose -4*f + x - 15 = 0. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*20\/(-15).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 889020 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x + x + 2*x + 4 - x**2. Determine i(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512778 = -3*v - 3*w, 10*v - w + 341849 = 12*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -65708029453\/681 + 96487525. Let u = r + -14\/227. Which is smaller: u or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let k = 11 + -6. Suppose -3*m - 3 = 0, 0*m = -k*i - 2*m + 13. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1142 + -1138. Suppose 3*v = -3 + 12. Sort v, -3, u, -2.\nAnswer: -3, -2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(14)*2 - sqrt(14))\/(sqrt(16)\/(sqrt(32)\/sqrt(4)) + sqrt(2)))**2 - (2 + (1*sqrt(847))**2 + -3)*-6.\nAnswer: 6*sqrt(7) + 20383\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 279979.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6503*n = 3670*n + 36829 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5099.3 - 5099. Which is the third biggest value? (a) 3\/25 (b) f (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7244*x**2 + 44*x + 11. Let w(d) = -1449*d**2 - 8*d - 2. Give 2*t(b) + 11*w(b).\nAnswer: -1451*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 7, i: 1}. Give prob of picking 1 i and 1 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 135, 148, 165, 186?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-4)\/(2 - -6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2106)\/1287)\/((-6)\/(-44))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.13 times -519?\nAnswer: 4219.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29960 and 50889200?\nAnswer: 356224400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 5*b**3 + 10*b**3 - 3*b**3 + 12*b**3 + 5*b**3 to s*b**2 + d*b + v + a*b**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-21 + 484\/22)\/(4\/41160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1780 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, -0.2966, 4, -0.3, 9, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*l*q**3*x + 4*l*q**2*x + 2*q**3 + 64*q*x wrt l?\nAnswer: 15*q**3*x + 4*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*f = 332*f - 60. Sort f, 4, 0, 2.\nAnswer: 0, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*g - 62*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/10)\/(-15))\/(39\/(-12))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2108 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a084 - -60?\nAnswer: 2a0e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -1\/80*x**5 + 0 - 5*x + 1\/48*x**4 + 0*x**2 - 1\/120*x**6 + 1\/24*x**3. Factor o(m).\nAnswer: -m*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 + 4*q**2 - 5. Suppose 0 = g + 1 + 2. Let x(n) = 2*n**3 - 3*n**2 + 4. Let h be -2*(-1)\/(-1) + -2. What is g*z(d) + h*x(d)?\nAnswer: d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -20 + 25 - 49 - -21\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 1667188*v**3 + 4*v**2 - 1949284*v**3.\nAnswer: -3616472*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 1. Let c(j) = 6*j - 8. Let t(f) = -c(f) - 5*k(f). Calculate t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, -36, -188, -482, -966, -1688, -2696?\n\"Answer: -8*u**3 + u**2 - 5*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430\/55404*4\/5?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88381040933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**3 - 2*g + 2*g - 48*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 - 10*x**2)*(4*x**2 - x**2 + x**2).\nAnswer: -40*x**4 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6, 0 = -6*s + 9*s + u - 2183. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3289666 years to months.\nAnswer: 3.9475992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650*w = 658*w - 304. Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*56\/21. Put -2, b, 5 in decreasing order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*k - 29*b**3 - 368*b**2*k - 2*b wrt b?\nAnswer: 18*k - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, u: 10, d: 2}. What is prob of sequence dj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/2 + m**4\/12 - m**3\/6 - 8*m. Let i be 6\/(-4)*4\/(-6). Calculate z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 490 = 5*o, 4*o + 428 = 2*y - 44. What is the highest common factor of 32 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.8, 1.3, 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.34 times 1.8531?\nAnswer: 15.454854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9090 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 26*o**3 - 2*o**2 - o + 3. Let n(t) = -13*t**3 + t**2 + t - 2. Let k(l) = -5*n(l) - 3*v(l). Let p(u) = 2*u**2 - 2*u + 1. Let f be p(1). Give k(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {k: 1, i: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 149. Sort -0.5, -0.3, 5, w.\nAnswer: w, -0.5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47211 is divided by 484?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:36 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 526046.6 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/9))\/l)**(-10))**(-3\/2) assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2675*s - 594*s + 851*s - 3612*s = 434160 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 1. Let f(w) = -20*w**2 + 35. Let m(u) = -f(u) + 15*h(u). Factor m(o).\nAnswer: 5*(o - 1)*(7*o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 439.\nAnswer: 439.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -5)\/((0 - -1)*-2). Let o(m) = -m. Let p be o(-4). Calculate the smallest common multiple of 18 and 13 - (3 - (p - b)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - -47a25?\nAnswer: 47a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, k: 10}. Give prob of sequence tkkt.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-3)\/(-3) - (5 - -4). Let h(s) be the second derivative of s**4\/4 + 8*s**3\/3 - 3*s**2 - s. Is h(i) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 - 1?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0\/1 + 5. Let m be 2 - c - -2 - 0. Suppose 0 = 3*o - m*o - 6. What is the greatest common divisor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 15*o - 1. Let m(c) = -c**2 + 7*c - 1. Let k(j) = -2*d(j) + 5*m(j). Let h be k(7). Let s = h + 20. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, w: 4, x: 1, f: 4}. What is prob of sequence fox?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 550 + 2042. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12367.608 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccciccccciccccccc. What is prob of sequence cici?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6994 + 3796 - 8190 - 1881)*(v**2 - 2 + 2*v**2 - 2*v**2).\nAnswer: -13269*v**2 + 26538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and 0.384.\nAnswer: -28.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksskshkksshsk. Give prob of sequence kkh.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/4671365 and 43\/9342730.\nAnswer: 9342730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - -4) + 74 + (106 - 166)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n**3 - 109617745*n + 109617745*n.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 450773*d*r**3 - 2*r**3 - 3*r**2 + 5*r - 42 wrt d?\nAnswer: 450773*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639311?\nAnswer: 3, 31, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -5, -22, -1, -2\/45 in decreasing order.\nAnswer: 39, -2\/45, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bivb when four letters picked without replacement from {b: 11, v: 3, i: 1}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from xjjjxjgxxdxjbwjxbd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r. Let o(w) be the third derivative of 0*w**3 + 0 + 0*w - 4*w**2 - 7\/24*w**4. Calculate o(a(i)).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109\/119 + -20527\/29036. Is 0 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and -83\/1874.\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -842 (base 14) to base 7.\nAnswer: -4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z + 15. Let g be l(5). Let k = -20 + 19.86. Let c = 1.86 - k. What is the smallest value in c, 1, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*z**2 + 0*z + 6*z - 6*z + 178*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 8, -4.\nAnswer: -4, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3\/4*q**4 + 0*q**2 + 3 - 4*q + 0*q**3. Differentiate o(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13498.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9780 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/3 + 22198*a**2 - 2415693*a + 14227790\/3 = 0. Calculate a.\nAnswer: 2, 107, 66485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8843223 to 2 decimal places.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 12*l = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + 15\/288)\/(-12 + (-5022)\/(-414)) and 17\/33.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1 - (-16)\/(-2). Let o be (-6)\/(-2)*(p + 8). List the prime factors of 17\/(o - 10\/(-3)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*i**3 + 133*i**3 + 269*i**3 + (0*i + 3*i - 2*i)*(-4*i**2 + 7*i**2 + 2*i**2).\nAnswer: 278*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-111290)\/(-15)*(21 + -6 - 12).\nAnswer: 2, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4382\/15 - 292. What is the fourth smallest value in 0.09, 4, 0.1, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10350 divided by -5\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -542 or -543?\nAnswer: -542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-268576)\/545*(-2125)\/2. Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061.836 years in centuries?\nAnswer: 20.61836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**4 - i**2 + 3*i - 1. Let h(t) = 9*t**4 + 33*t**3 + 30*t**2 - 6*t - 2. Let j(g) = -h(g) + 2*p(g). Let j(y) = 0. Calculate y.\nAnswer: -3, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 4. Let d(f) = -3*f + 6. Suppose 3*s - l - 20 = -s, 4*s = -l + 12. Let o be s\/(-16) + 54\/(-8). Let a(w) = o*v(w) - 5*d(w). Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 2*n**4 + 2*n + (0*n + 2*n - n)*(-3 + 1 + 3)*(2*n - 2*n - 9*n**3) as t*n**2 + s + l*n + u*n**4 + g*n**3 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 25*w**2 + 784*w + 1009. Give s(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226066094 divided by 33?\nAnswer: 37153518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 191.9, 0.3, 4, -6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let f be q(1). Let n(v) = -2*v + f - 1 + 5. Suppose -9*m + 12*m - 3 = -3*c, -4*m - 16 = 0. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-12)) + 1320\/300.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 + 3*l + 8*l**2 - 3*l. Let m(s) = -9*s. Give i(m(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*r - 0*r. Let c = -4 - r. Suppose p = -c*p + 12. Solve 0 = z - p*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 5*f + 926. Determine g(-21).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 1665 - 1987 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/35))\/r*r)**(2\/21)*(r**(-4\/13)\/r)**(-1\/72) assuming r is positive.\nAnswer: r**(27253\/229320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:16 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 1 f when three letters picked without replacement from {h: 1, a: 3, b: 1, t: 4, f: 8}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1758614759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 1, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134433355 (base 6) in base 15?\nAnswer: 11d35a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 - 6*j + 13. Is l(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179016.19 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5598330446?\nAnswer: 2, 1087, 2575129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17904720 and 80.\nAnswer: 17904720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u - 82 = -36 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**6\/360 + v**3\/3 + 1. Let r(h) be the third derivative of y(h). Let q(k) = 0*k + 5 + 10*k - 5 - 2*k. Calculate q(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 0.017571271?\nAnswer: 5.982428729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + t**5 + 3*t**5 + (9422*t + 2374*t - 1430*t)*(t**4 - t**4 - 2*t**4).\nAnswer: -20730*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*i**5 + 34*i**4 + 26*i**4 - 300*i + 297*i**3 - 51*i**5 - 60*i**2 = 0. What is i?\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6bca + -47?\nAnswer: d6b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56061983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiii when four letters picked without replacement from fifiiffffif?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 1. Let s(t) = 6*t + 19. Let c(m) = -6*g(m) - s(m). Let h be (4*(-1 + 0))\/(-1). List the prime factors of c(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q + 114*y + 418 + 714 = 0, -8 = 4*q + 4*y + 19 - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -272, -599, -1052, -1631, -2336?\n\"Answer: -63*k**2 - 12*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16610645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 23. What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -275 + -83165?\nAnswer: -8340a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 630\/135*144\/7. Calculate the highest common factor of h and 8128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2655, -2660, -2669, -2682, -2699, -2720?\nAnswer: -2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/8 - 165*f**2\/2 + 3281*f\/8 - 1965\/4.\nAnswer: (f - 655)*(f - 3)*(f - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199563?\nAnswer: 3, 7, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2204)\/5640 + (-10)\/60 + (-6)\/(-10).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -238101 + 353701. Round w to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 16 = 6*p. Let d(q) = -q**3 + 8*q**2 + 3*q. What is the remainder when d(p) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1477850979 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 - 78*f**4 + 1454*f**3 + 16616*f**2 - 544887*f + 1012894 = 0.\nAnswer: -17, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2042 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-392)*-49)\/(5*(-9)\/(-30))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.2785 millilitres in litres?\nAnswer: 0.7362785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*f**2*k**2 + 18*a**3*k**2 + a**3*k - 36*a**2*f**2 + 2*a**2*f*k wrt k?\nAnswer: -6*a**3*f**2 + 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2 - 4 - 4)*(3*r - 6*r + 2*r)*(54*r - 377*r - 237*r).\nAnswer: 3360*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:51 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + d**2 + 4*d**2)*(-7*d**2 + 8*d**2 - 11*d**2) as b*d**2 + k + o*d + g*d**4 + r*d**3 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.124 + 0.024. Let i = x - -4. Let l = i - 0. Sort -2, -1\/3, l in descending order.\nAnswer: l, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krjkjrrjkjrr. Give prob of sequence rrjr.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(1100\/(-130)) + (-2)\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:28 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 7 + 1)*(0*o - 5*o - 3*o) + (1 - 2 + 3)*(-1 + 1 + 2*o).\nAnswer: -204*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -5, -8, -0.01, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231 - 12 - 36)*(-7*p + 0*p + p).\nAnswer: -1098*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5 + 316*t**4 - 7311*t**3\/2 + 21031*t**2\/2 - 15865*t\/2 + 3549\/2 = 0.\nAnswer: -169, 1\/2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*s - 31512, -5*o + 2*s = 15765 + 15727. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449389 is divided by 103525.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 16)*2\/92.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 5992?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 7:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a + 208. Let x be o(11). Solve -3*p + x = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2377209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072331.\nAnswer: 1427, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.060542 litres in millilitres?\nAnswer: 3060.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -54867*l**2. Let j(r) = -r. Give q(j(x)).\nAnswer: -54867*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -87 in descending order.\nAnswer: 2, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16040151*c**2*i**2 + c**2*i + 2*c**2 + 120*c*i**2 - 8*c - 989*i**2 wrt c?\nAnswer: -32080302*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -23*k - 1. Suppose -4*u - 13 = -3*q, -4*u - 2*q = -4 + 2. What is the remainder when r(u) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 4)*(1 - 4 - 1) + (-2 + 4 + 0)*(-8 - 4 - 6))*((-3 - 1 + 2)*(0*c - c - c) + 0 + 0 + 4*c).\nAnswer: -224*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cd (base 14) in base 11?\nAnswer: -966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-376)\/60 + (-4)\/10 - (1040\/(-78))\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 1)*(0 + 3 - 5) - 4 + 5 + 1)*(3*j**4 + 4*j**4 - 876*j + 890*j) to n*j + w*j**4 + a + y*j**3 + c*j**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -5 - (-8 + 8). Let s be 4 + 0 - (-6)\/r. Solve s*y - 5 = -w, 4*w + 24 + 8 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzkkwcjzcckwcbw. Give prob of picking 3 w.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.9 + -29.9. What is the nearest to 22\/3 in 1, x, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -5*z - 12*d + 9, 0 = 4*z + 5*d + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 43. Let i be k(11). Suppose -4*t - i = 7. Let o be t + 30\/18 + (-169)\/(-3). Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(27) + sqrt(49))\/(sqrt(1008) - -1*sqrt(1008)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s + 55*s = -44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(2 + y - 2)*(-7 + 4*y + 7).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l - 6. Let s be d(5). Let h = s + 5. Suppose h*w = -2*o + 386, 4*o = -15 - 5. What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550641422?\nAnswer: 2, 83, 3317117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194082416?\nAnswer: 2, 11, 19, 127, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1\/7, -1\/9, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/6 - 1\/(-3). Suppose 0 = -2*q + 4*r + 370, 3*r = j*r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 5. Let d(c) = 7*c - 11. Let f(w) = -w**3 + 8*w**2 - 10*w + 14. Let g be f(7). What is g*q(p) + 3*d(p)?\nAnswer: -7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529 + 529 - 2*n - 78*n.\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n**2 - 2*n + 3. Let u(q) = 28*q**2 - 2*q + 2. Give 3*d(w) - 4*u(w).\nAnswer: -31*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64736*p**2 + 113797*p.\nAnswer: -129472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 + 0 + 6 - 8)) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eey when three letters picked without replacement from eey?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80575815 to the power of 1\/2, to the nearest integer?\nAnswer: 8976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 95024*v**4 - 3890676*v**3 - 33574984*v**2 + 129385168*v - 91824480 = 0. Calculate v.\nAnswer: -23715, -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 1406*z - 5. Let c(a) = -2*a**3 + 7*a**2 - 2110*a + 7. Calculate 5*c(t) + 7*u(t).\nAnswer: -3*t**3 - 708*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3067537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -23121?\nAnswer: -23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/180 - 2*u**5\/15 + u**4 + 49*u**2 - 6. Factor h(d).\nAnswer: 2*d*(d - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 16. Let l(d) = -d**2 + d - 1. Let v(s) = b(s) + 2*l(s). Let o be v(10). Solve -u = 4*q + o*u + 20, -q - 2*u - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 5*s + 48, -4*s + 67 = 3*k. Let c(q) be the first derivative of q**2\/2 + 33*q + 2. What is the remainder when c(0) is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16361240 to the nearest ten thousand.\nAnswer: -16360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 293.7444 decades?\nAnswer: 2.937444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/6 (b) 0.1 (c) -0.435833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54.4 - -51.69. Let i = -0.29 + j. Let h = 5.9 - -5.1. Which is the closest to h? (a) 0 (b) i (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 4. Let b be q(-3). Let r = b - 8. Suppose -c - 1 = 0, -c + 6 = r*l - 61. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 55*x + 2*p - p + 5, -4*p - 40 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let c(o) = -16*o + 6. Give 2*c(j) - 14*u(j).\nAnswer: -46*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 7\/4822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 11*m**2 + m + 16. Let q be h(-11). Solve -2*s - 2*x - 2 = 0, -2 = q*s + 2*x + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4454643 (base 7) to base 2\nAnswer: -10000110101001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 13*w**2 + 8*w - 9. Let v be j(-12). Sort 2, 0, -5, v in decreasing order.\nAnswer: v, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 2. Let r(z) be the first derivative of -z**2\/2 - 6*z + 5. Let u be r(-3). Let y(h) = -7*h + 3. Let i(o) = u*y(o) - 5*b(o). Calculate i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = 4*w - 571 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*w, -4*w = -3*n - 236. Let y = 406\/5 + n. Factor -y + 4\/5*g + 2\/5*g**2.\nAnswer: 2*(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168b (base 12) in base 2?\nAnswer: -101010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -37\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/(y\/y**7))\/(y**2\/y**(1\/5)) assuming y is positive.\nAnswer: y**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 4*i = -1055, -139*z - 3*i = -136*z - 360. What is the highest common factor of z and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.146976*-2004\nAnswer: -294.539904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)*(-31 - 0). Let a = 64 + c. Suppose a = 5*y - 77. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 833 and 115877797?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5) + -1 + sqrt(5) + ((sqrt(40) - sqrt(120)\/sqrt(3))\/sqrt(8))**2.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4366 = 3*c, -1747 = -4*g + 2*g - c. Is g a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/13)*a**(3\/5))\/(a**(-2\/63)\/a**(1\/8)))**(-2\/85) assuming a is positive.\nAnswer: a**(-52511\/1392300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2642*p**2 + 1328*p**2 - 414*p**3 + 1314*p**2.\nAnswer: -414*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (189\/36)\/21*0\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365248570 rounded to the nearest 100000?\nAnswer: -365200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 1274052*r + 11466144.\nAnswer: 4*(r - 318504)*(r - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y**4 + 24*y**3 - 24*y**3 + (-21*y + 9*y - 15*y)*(3*y**3 - 2*y**3 - 2*y**3) as c*y**3 + l + i*y**2 + b*y + j*y**4 and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28807188, 28807192, 28807196, 28807200, 28807204?\n\"Answer: 4*k + 28807184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024961171 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5862 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w + 106*w - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(567) + -1 - sqrt(567))**2 + 3*(0 + sqrt(567))**2 - (sqrt(567) + 4 + (2 + sqrt(567) + sqrt(567))**2 - (0 + sqrt(567))*-3).\nAnswer: -566 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27235 + -76760?\nAnswer: -47523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 133*s**4 - 19*s**3 - 95. Let m(l) = -22*l**4 + 3*l**3 + 16. Let c(z) = -3*b(z) - 19*m(z). What is the derivative of c(h) wrt h?\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -2\/3 (b) 3 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/30 + h**4\/9 - 23*h + 22. Let n(b) be the first derivative of g(b). What is m in n(m) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.3, -4, 3.\nAnswer: -4, 0.3, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -14, -17?\n\"Answer: -3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(66)\/sqrt(6) + 5).\nAnswer: -20 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -103*p - 2. Let o be d(-2). Suppose 5*g - g - o = 0. Suppose -3*a = -3 - g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -20 - (2 + 0 + 2 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2397345, -4794665, -7191985, -9589305?\n\"Answer: -2397320*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2)\/sqrt(7) - (4 + sqrt(405)))**2.\nAnswer: 88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*i + 3, 2*d + 5 = i + 4. Let r(l) = -l**3 + l**2 + 9*l + 846. Does 13 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = -0*z. Let p = -1 + 0. Let u(o) = 15*o**2 - o - 1. Let m be u(p). What is the highest common divisor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 2*h + 4. Let r be p(-2). Let x be (-26)\/r - 25\/100. Suppose -w - x = 3*z - 5*w, 4*z = 4*w. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 5*n + 4. Let o be h(3). Let k(g) = -82*g - 1. Let i be k(o). Suppose i = 4*a + a - 4*q, -a + 33 = -q. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430604962 to the nearest integer?\nAnswer: 20751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 270182080 divided by 844319\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*i - 35. Let l = 73 - 70. Solve 0 = 5*d + q - 1, 0 = 4*d - i*q + l*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-10) + 14\/(-35). Let u(a) = -3*a**3 - a**2 - 2*a - 2. Let y be u(k). What is the highest common factor of y and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -672, -5, -2, 17 in ascending order.\nAnswer: -672, -5, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:31 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w - 3*w**2 - 17 - 9*w + 5*w**2. Let k be (-4)\/(-90) - (-3640)\/(-900). Calculate the remainder when a(k) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 260.3 + -231. Let s = z + -34.3. Which is the biggest value? (a) 14\/3 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -64*t. Suppose t = -5*x - 201 - 64. Is x smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19408 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 h when four letters picked without replacement from vsxeesvxeevessehhe.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -8 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*w - 203*w - 238*w - 8050 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.42 + -1.68. Let d = w - -4.139. Let m = -0.039 + d. Which is smaller: m or 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, p: 5}. What is prob of picking 1 p and 3 j?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173953771 or 173953772?\nAnswer: 173953772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137645 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 1, k: 5, p: 2}. Give prob of picking 1 i and 3 k.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -38\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:19 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75656?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 781, 0, 4 in descending order.\nAnswer: 781, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 179*z + 16. Suppose -10 = 3*k - 4*k + m, -2*k = -m - 17. Let x = -1 + k. What is the remainder when j(0) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*k - 6, 0 = -20*u + 23*u - 4*k - 0*k + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15626.469 microseconds?\nAnswer: 0.00026044115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/22*-4*(-5)\/(-10).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.28*640.\nAnswer: -21939.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13 - 15*s**2 + 2 + 3*s**3 + 36*s**2 + 33*s.\nAnswer: 3*(s + 1)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/3 (c) 202\/41 (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211 + 4214 = -270*q - 1595 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 69. Put -3, 2, m, 0.6 in decreasing order.\nAnswer: 2, 0.6, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11299 - 2593 + 5182 = -248*i for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 249511133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-21)*-27 - -4. Let j(k) = 4*k**2 - 13*k + 1. Let l(b) = 9*b**2 - 27*b + 2. Calculate g*j(m) - 6*l(m).\nAnswer: -2*m**2 - 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 333.\nAnswer: -5\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.009.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 - 0. Let c be (g - (-2 + -1))\/(138\/368). Calculate the remainder when c\/(-14)*2870\/(-20) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 61. Solve 3*p + q = 3*a, 2 - 9 = -2*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1320, 4, -4.\nAnswer: -4, 0, 4, 1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k = -12. Suppose f = -4*r + k + 1, 5*r + 4*f = -6. Let d(t) = -t**2 + 6*t - 7. Let v be d(3). Solve -v*x = r*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -3\/2 (c) -9 (d) 3 (e) -0.9 (f) 20 (g) -107.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000921326507 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16226444 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-38)\/(-57).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2985424*l*s**3 - 43*l*s**2 + 4*l*s + 22*l - 18*s**6 + 29*s**2 + 9*s + 2 wrt s.\nAnswer: 17912544*l - 2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5905 minus 9.3725669?\nAnswer: -5914.3725669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 89, 242, 507, 914, 1493, 2274, 3287?\n\"Answer: 5*h**3 + 11*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a century in months?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11010201222 (base 3) to base 2\nAnswer: 10011111000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7*m + 36. What is the units digit of x(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343961?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3\/7 - 58857*u**2 + 235416*u + 4943844\/7 = 0.\nAnswer: -2, 6, 137329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-20) - (-129)\/(-12). What is the nearest to 0 in -5, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 10) + (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 20*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*l + 17 - 17)*(-1 + 1 - 1) + 4*l + 3 - 3 + (4 - 1 - 2)*(-2*l - 4*l + 4*l) + 3*l - 3*l - l as v*l + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 66. Suppose 3*a + 3*k - 90 = 0, 3*k + 16 = -4*a + 137. Suppose t*g - a*g = 0. Which is smaller: 2\/77 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -598 - -611. Let u(x) be the first derivative of -6\/7*x**3 + 0*x + t - 1\/2*x**4 - 2\/7*x**2. Solve u(k) = 0 for k.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 28*v**2 + 78*v - 108.\nAnswer: 2*(v - 1)*(v + 6)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 163*n + 159*n + 20.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 0, 0 = -4*q - 3*i + 410 + 685. What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17477 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + 10\/4. Suppose -15 - 48 = -f*t. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011111001000110 (base 2) to base 9.\nAnswer: -413455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/360 - r**5\/10 + 3*r**4\/2 - 12*r**3 + 6*r**2. Let t(x) = 0. Calculate x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b - 72 + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ife when three letters picked without replacement from {f: 1, c: 5, a: 1, e: 3, t: 4, i: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 60*u**2 - 54*u**2 + 1 + 118*u**2 as f*u**2 + w*u + q*u**3 + c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6660300 bigger than -6660309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcrj when four letters picked without replacement from jcrij?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3*n)*(1 - 8 - 7) to d + v*n and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-119))\/(3\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2 and 109\/797964?\nAnswer: 797964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.39 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-28)*((-308)\/24)\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424 + 95 = 47*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -49. Let n = -37 + v. Which is smaller: n or -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19107 + 19107 + 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5293 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0342 + -0.0341386. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**6\/420 + k**5\/105 + k**4\/84 - 2*k**3\/21 + 2*k**2 + 7. Let x(v) be the second derivative of l(v). Solve x(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let r(i) = -3 - 8 - i + 2 + j. Let t be r(-6). Solve t = -2*k + 4 - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3723 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/21 and 4\/169.\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4175 - 4102. Suppose -u - 2*u = -4*x - 17, 0 = 2*u - 3*x - 11. Let t = u + k. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lilcemlliiiee. Give prob of picking 2 l and 1 e.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13.65. Round f to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/10)\/((-234)\/52))\/((-76)\/(-40)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2412)\/(-8))\/(-3)*((-204)\/9 - 2728\/(-124)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5693? (a) -5\/2 (b) -3 (c) 112 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10103806 and 0.33?\nAnswer: -3334255.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*g**2 - 4*g**3 + 6 + 2*g - 16*g**2 - 12*g**2.\nAnswer: -4*g**3 + 88*g**2 + 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(44))\/(sqrt(12)\/sqrt(3)*6) + (-1*sqrt(11)*-4 + (sqrt(44)\/sqrt(4) + sqrt(11) + 2 - sqrt(11)))*2)**2.\nAnswer: 236*sqrt(11)\/3 + 38867\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 22*z + 684 = 0. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -3\/4*w**2 + 1\/80*w**5 - 1\/24*w**3 + 1\/8*w**4 - 269*w + 0. Factor q(t).\nAnswer: (t - 1)*(t + 1)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.3. Let y(d) = 3*d**2 + 3*d - 4. Let s be y(-2). What is the smallest value in 1, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733935327.\nAnswer: 47, 5309, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 9*u + 13. Let d be o(-6). Let v = 297 + d. Solve v*x + w + 6 = 2*x, -2*x - 18 = -2*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13227 rounded to the nearest one hundred?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z = 36*z + 154 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/40)\/((33\/55)\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/3 (b) 33 (c) 12 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.1. Let z = -5.145 + 0.045. Let f = z + 1.1. Which is the biggest value? (a) -2 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.8*0.10373\nAnswer: -3.506074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/1320)\/(1\/18*(-20)\/(-470)).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsmmmxx. What is prob of sequence mxmx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188410 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (80\/96)\/((-1)\/(-6)). Suppose -3*y + 15 = 2*x, 0 = y - 5*x + 2*x - a. Suppose -2*w = -6*w - 2*m + 68, 0 = -2*w - y*m + 34. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 76\/8 + 5\/10. Let w(h) = -18*h + 4*h + 37 + a*h + 6. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b**2*l**2*n**2 + 2*b**2*n - 26*b*l**2*n**2 + 189*l*n**2 + l - n wrt l.\nAnswer: 16*b**2*n**2 - 52*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 150.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 1805*z**3\/6 - 2280*z**2 - 58*z + 12. Find the first derivative of g(l) wrt l.\nAnswer: 1805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -91. Let r be 4\/(-6) + d\/(-9). Suppose -p + r = -2*n + n, 3*p - 4*n = 20. Solve -2*g + p*g = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*p + 44, 6*p = -m + 11*p - 19 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.94342ml to litres.\nAnswer: 0.04094342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -1416?\nAnswer: 142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:26 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 27*j + 17. Let u be c(12). Let x be 2\/(-4) - (-7)\/2. Suppose -20 = -5*q, -x*t + u = q + 4*q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 55, 61, 69, 79, 91?\n\"Answer: m**2 + m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70168065 and 3345?\nAnswer: 70168065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 4*f + f + (-5 + 5 + f)*(1 - 2 + 3) + 0*f - f + 2*f - 3*f + 3*f + 2*f + (-3 + 1 + 1)*(0*f - f + 4*f))*(0 + 2 + 1).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-54) - 104\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 + 9 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b - 93. Let k be q(-11). Let x = 9 + -6. Put x, 5, k, 1 in ascending order.\nAnswer: k, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 - 15*p - 113. Give n(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 14*y + 13. Let h(p) = -122*p**3 + p**2 + 2*p + 1. Let a be h(-1). Let z = 129 - a. Is m(z) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22879925850 - 158.8.\nAnswer: 22879925691.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726885 and 53505?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62889, 62888, 62887, 62886?\n\"Answer: -c + 62890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (-1 + 12 - -35)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 1, p: 2, l: 1, c: 1, r: 1}. Give prob of picking 1 t, 2 p, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j - 6. Let y be h(-4). Let x be 2\/(2 - y\/40). Suppose 5*w = 4*w - x. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10*a - 50 = 0. Calculate the highest common divisor of a and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n*n*n**(-2\/7)*(n**(-1\/2))**(-1\/3) assuming n is positive.\nAnswer: n**(121\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/52)\/(10\/(-20)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64470 - 201*m**2 - 64470.\nAnswer: -201*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 r when four letters picked without replacement from hnrvnvzvbvnnrnznv?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*u - 455 = -193*u + 832. Which is smaller: u or -2173?\nAnswer: -2173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33\/8 - -39\/8. Let w be (-3)\/(-6) + 2 + -2. What is the third smallest value in w, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -6 - 64. Let k(m) = 5*m + 10. Let h(d) = -2*d - 3. Let y(s) = -8*h(s) - 3*k(s). Calculate the remainder when 9 is divided by y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 4*t - 3. Suppose 0 = -6*j + 4*j - 3*w + 1, -4*w + 5 = -j. Let v(p) = p**2 + 1. Determine j*n(h) - 2*v(h).\nAnswer: 2*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107 and 1.3.\nAnswer: 139.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4024*a - 8. Let m(c) = 2682*c - 5. What is 8*m(d) - 5*u(d)?\nAnswer: 1336*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(144) - sqrt(84)\/sqrt(7))**2 - (((1*sqrt(243))\/sqrt(9))**2 + -4).\nAnswer: -221\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + -1*sqrt(800)*-6)*-1)\/(-4*((sqrt(90) + (-3*sqrt(90) - sqrt(90)) + sqrt(90))*6 - sqrt(90))).\nAnswer: -7*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2641 + 2641. Solve t = 10*x - 28*x + 90 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-140))\/(10\/25). Let x be (-12)\/10 + 0\/(-23). Which is the second biggest value? (a) 0 (b) x (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -286, -675, -1100, -1567, -2082?\n\"Answer: -f**3 - 12*f**2 - 346*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-10 + 2)\/(-1). Suppose -3*p - 15 = 0, -51 - 6 = -4*s + 5*p. Find the second derivative of s*v + 2*v**m - 6*v + v**4 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11607 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c - 324 + 8*c**2 - 2\/3*c**3.\nAnswer: -2*(c - 9)**2*(c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -12. Let p(h) = h**2 + 2*h + 2. Suppose -4*i = -3*b - 28, 4*b = -0*b - 2*i - 8. Let l(j) = 4*j**2 + 7*j + 7. Determine b*l(q) + z*p(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 47*w - 26*w - 30*w. Let d(x) = 5*x**2 - 2*x**2 - x**2. What is p(d(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1 + (0 - 1 + 0)*(0 + 2 - 4) - 3 + 3 + 2)*(3*j - 2 - j + 2*j) + 15*j - 6*j + 3*j + (1 - 4 + 2)*(-j - j + 3*j).\nAnswer: 23*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-2\/75))**(-19\/6))**(-22\/7) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -13\nAnswer: -74\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 4*v + 3. Let q(l) = 15*l**2 + 19*l + 16. Determine 11*o(s) - 2*q(s).\nAnswer: 3*s**2 + 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2*(2 + -1). Let z(y) = y**3 - 5*y**2 + 4*y. Give z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -108. Solve -23 = 4*r + 3*o + 5, -l*r - 5*o = 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4289 (base 10) to base 12\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/43 or 1?\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8416239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s + v - 149, -s + 4*v = -61. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*k + 2 + 10*k + 77*k**2 - 47*k to the form c*k + u*k**2 + h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115657 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82095719?\nAnswer: 31, 2648249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -4. Suppose q - 45 = -l*q. Calculate the remainder when 43 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*f + 116. Let r = 42 + f. Solve 4*h - 2*g = 5*h - 13, 3*h - 3*g + r = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -761\/3 - -243. Let x = s + 236\/21. Which is the biggest value? (a) 5 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8558915, -17117831, -25676747, -34235663, -42794579, -51353495?\n\"Answer: -8558916*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423 less than -802?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.2467 tonnes in kilograms?\nAnswer: 742246.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**42)*f\/f**(-21\/4)*((f*f\/(f\/f**8)*f*f)\/f)\/f**42 assuming f is positive.\nAnswer: f**(-271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -322*i**3 - 12*i**2 - 16*i - 3. Determine t(-1).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -19 - (3 + 0 + 17 + -30)) + 6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-6) + (-10)\/(-15). What is the first derivative of -3*x**3 + 1 - 2*x + 2*x + 6*x**u wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:26 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d + 15. Let y(p) = -p - 6. Let u be y(d). Which is the nearest to 1? (a) 1\/10 (b) u (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -1980 (c) -6 (d) 0.4 (e) -7 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 - 2*h - 3. Suppose -2*r - 4 + 0 = 0, 0 = c - r - 5. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30277?\nAnswer: 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 6*i + 6. Let u be g(4). Let o be (-4)\/(24\/(-9))*u*2. List the prime factors of ((-24)\/4 - o\/2) + 72.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 68998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51347018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 + (0 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 771, 824, 917, 1050?\n\"Answer: 20*j**2 - 7*j + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 45. Calculate the highest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 - 5*j**3)*(2*j**2 + 2 - 2) + 2*j**5 - 3*j**5 - j**5 + 2*j**5 - 6*j**5 + 3*j**5 - 46*j**2 - 7*j**5 - 4*j**5 + 9*j**5.\nAnswer: -9*j**5 - 46*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188782*u**3*z**2 - 1750*u*z + u + 8*z**2 wrt u.\nAnswer: 1132692*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0478366311 less than -904?\nAnswer: -904.0478366311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17496860417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 798 and 154.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*b**2 + 12 - 12 + (b + 2*b - b)*(4 + b - 4))*(b**3 - 2*b + 2*b + (0*b**3 + 0*b**3 - 2*b**3)*(1 + 1 + 0)).\nAnswer: -165*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8529674 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - q - 2. Let c = -2 - 3. Let k be x(c). Let o(h) = -h + 1. Let s(l) = 8*l - 3 - 3*l + 0*l. Calculate k*o(g) + s(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = 5*j - 6*i, 2*j - 4 = 4*i. Let o be (-4)\/((-24)\/15) - 2. Which is the biggest value? (a) o (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 2. Let o(t) = t - 4*t + 1 + 2*t + 0*t. What is o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.13, -0.0926?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*2*sqrt(102))\/(sqrt(150) - (-2*sqrt(150) - sqrt(150)))*-5.\nAnswer: -4 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 86227 - 1207. Calculate the highest common factor of u and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -151*f**4 - 7*f**2\/2 - 1337*f + 11463. Find the first derivative of a(g) wrt g.\nAnswer: -1812*g**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/11102292 and 131\/12.\nAnswer: 11102292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 + 5*m - 20. Let p be h(-7). Which is the second biggest value? (a) -1\/8 (b) 0.1 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let n = 10 - 14. What is the nearest to h in 1, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 55*z**4\/2 + 2*z**2. Suppose 0 = -0*b + 3*b - 3. Let a be m(b). Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - (-1 + -3)) + -14. What is the common denominator of 115\/6 and (-58)\/i - (0 + 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Is (d\/(-5))\/(4\/(-40)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a - 3. Let y be w(4). Let i(t) = -4*t + 6. Let v be i(4). Let g be (-1)\/2 - y\/v. Solve b = -3 - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -12*g**2 + g. Calculate d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -2163, -7709, -18513, -36327?\nAnswer: -62903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 1)\/(-1 + -1). Suppose -u*i + 5*n - 13 = 0, 3*n - 1 = 4*i - 10. Suppose 19*x = 16*x + i. Solve 3*c = -x*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 54) + (33 - 8) - -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14541680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -74.6. Let u = r + -76. Let q = -37\/28 + 7\/4. Which is the nearest to 2\/5? (a) 0.2 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b. Suppose 0*v - 5*v + 585 = b. Suppose y + 4*l = 30, y + 3*l = -2*y + v. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002315 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1434 and -23\/16?\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 26. Let t = -65\/788 - 33\/197. Which is the nearest to 4? (a) 0 (b) -5 (c) u (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423973, 1695820, 3815571, 6783232, 10598809, 15262308?\nAnswer: 20773735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114)*1*5 + sqrt(114) + (-1*sqrt(114)*-5 - sqrt(114))))\/((2*sqrt(96)\/sqrt(2) - sqrt(48))\/((sqrt(48)\/sqrt(2))\/sqrt(3))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, i: 5}. Give prob of picking 3 i and 1 n.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 12\/7*r**2 - 8\/7*r.\nAnswer: 4*r*(3*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 + 3*r + 4. Let t be l(-4). Find m, given that -2*m - t*m - 3*m**2 + 3*m - 2*m = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-303)\/202)\/(21\/280)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*f - 55, -f + 5*p = -5*f + 65. Let c = f - -4. Suppose -20*n - 12 = -c*n. What is the least common multiple of n and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/10 - i**4\/12 + i**3\/6 + 128*i**2 - 8. Suppose -5*t = -3*v - 2, -6*v = -5*v - t. Determine g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - 0.5. Let g be (-3)\/4 - 75\/(-20). Suppose -h + 3*r = 10, r - 9 = -h - g. Which is the smallest value? (a) -0.3 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 - 56*s**2 + 13250*s - 13192 = 0.\nAnswer: -97, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(675\/(-335) - -2). Let m = o - 9\/3886. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 130, 25031 in decreasing order.\nAnswer: 25031, 130, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.5, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 287360874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335235 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 2*b**2 + 0*b**2 - 3*b**2. Let n(c) = -66*c + 15. Let t(k) = -9*k + 2. Let m(s) = -2*n(s) + 15*t(s). Give f(m(h)).\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1139*o - 806754 + 806754)*(-4 - 2 + 4)*(2 - 4 + 1).\nAnswer: 2278*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o + 4*o - 35*o - 94*o + o - 34*o.\nAnswer: -269*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4 + 1570*f**3 + 6246*f**2 - 1570*f - 6248 = 0.\nAnswer: -781, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:41 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170912 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -410 + -5?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/273, -1329, -3\/7 in increasing order.\nAnswer: -1329, -3\/7, -0.2, -2\/273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let y(u) be the first derivative of u**6\/120 - u**3\/3 + 1. Let l(f) be the third derivative of y(f). Determine d(l(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 40*x + 360. Let a be f(-9). Solve a = -n - 7 + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 2*u - 1. Let g be a(1). Let k = -3\/32 - 49\/160. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 29 = -2*k + 4*q, k = 2*q + 29. Which is smaller: k or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462235 is divided by 3611?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 4*i)*(-56 + 56 + 20*i)*(-i**2 - 2*i + 2*i - 2*i + 4*i**2 + 3*i**2 - 6*i**2 + (0*i + 0*i + 2*i)*(2 - 2*i - 2)).\nAnswer: -160*i**4 - 80*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8188)\/534 - (1368\/270 + (-4)\/10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35407*j**2*x**5 - 6209*j**2*x**2 - 68*j**2*x + j*x**6 + 2*x**2 wrt x?\nAnswer: 2124420*j**2*x**2 + 120*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Suppose -14 = 4*p - m. Let o(z) = 2*z**3 - 2*z**2. Let j(y) = 2*y**3 - 3*y**2. Calculate p*o(g) + 2*j(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 98756 = 98758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 + 582 = 43*o. Calculate the highest common divisor of o and 4305.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 15098*k + 15054*k - 45274*k + 15079*k - 51.\nAnswer: -43*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1800 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + r**3 - 13*r**2 + 2*r - 2*r.\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/352)\/((-35)\/240)*38\/(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, k: 2, e: 3, i: 2, r: 7}. What is prob of picking 1 r and 1 e?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-21)\/(-1120)). Find the common denominator of -35\/6 and ((-5)\/m)\/((-2)\/(-180)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 1 + (sqrt(1377) - (sqrt(1377) + -1)) + sqrt(1377))) - sqrt(1377) - 4*(-1 + sqrt(1377))) + -3)*-5)**2.\nAnswer: -4050*sqrt(17) + 310050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -6*n - 15, 3*x - n = 3004. Is x*((-3)\/9)\/((-5)\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17160911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:44 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z**4 + 458252508*z**3 + 4277020672*z**2 + 5091690928*z + 1629341056 = 0 for z.\nAnswer: -12729227, -8, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/13)*x*x**(3\/4)*x**(-3)*x*x**(-4\/3)*x*x)\/((x\/x**(-1))**11)**(-3) assuming x is positive.\nAnswer: x**(10541\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + 3*a + 5*a)*(3*a + a**2 - 3*a).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 752, 760, 778, 812, 868, 952?\n\"Answer: k**3 - k**2 + 4*k + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350462103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 49 - (1 - 23).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 22 = 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -8*t**3 + 0*t - 2 + 19\/5*t**5 + 0*t**4 + 0*t**2. What is the third derivative of c(l) wrt l?\nAnswer: 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67556.12us to seconds.\nAnswer: 0.06755612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + 5 + 6 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 7*d**2 + d + 8. Suppose -24 - 12 = 6*c. Let r be s(c). Let i = -39 - r. Let t(w) = -w**3 - 6*w**2 - 6*w - 2. Calculate t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*s - 24, -22 = -l + 3*l + 4*s. Which is smaller: l or -20\/17?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/(-24) - 6\/(-8). Let q(i) be the first derivative of -p*i**3 + 0*i + 0*i**2 - 2. Let d(o) = -5*o**2. Determine q(d(c)).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 264080?\nAnswer: 528160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -37) + -155 + 36?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 914, -0.5, 0, -5\/4, -5, 4, 5 in decreasing order.\nAnswer: 914, 5, 4, 0, -0.5, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 2 + 1 + sqrt(2299) - (3 + -5 + sqrt(2299) + 1))**2*4.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -224, -227, -232?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - x**3 - 2*x**4 + 119*x**2 - 117*x**2 - 3 in the form s + r*x**4 + t*x**3 + a*x + l*x**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/m**(-2\/7))\/m)**(-1\/40)\/(m**2*m**(-1\/2)) assuming m is positive.\nAnswer: m**(-443\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1517.85 + 1558. Let i = h + -41. Let d = -1.15 - i. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 172*o + 710. What is the least common multiple of a(4) and 24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78082, 153800, 229516, 305230, 380942, 456652?\nAnswer: 532360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -254249 and 0.2?\nAnswer: 254249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 23*l**3\/3 + 3*l**2\/2 + 2*l + 8. Let y(j) = -j**3 + 6*j**2 - 4*j - 3. Let v be y(5). Does 25 divide g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9902292 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29365091 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29107 + 11845 = -9*w. Let p = -1325 + w. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 56.82\nAnswer: -45.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018024 to seven decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2. Let d(g) be the first derivative of -g**2 - 25. Determine d(v(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1696\/(-530))\/((-24)\/20).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5250 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3792)\/14536 - 208\/(-92). Factor 2*t - 1\/5*t**z - 21\/5.\nAnswer: -(t - 7)*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times -88\nAnswer: 22.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-678 + 1370 - 685)*(2 - 2 + p)*(-44 + 48 - 54).\nAnswer: -350*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37877666 divided by -18938833.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose 0 = 3*b - 6 - 3. Suppose 5*a = -3*m + v*m - 3, 2*m = -b*a + 6. Solve 0 = -5*n + 4*w, 0*w = 4*n - m*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-17))\/((-9)\/27*-3). Is b equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Let b be 566\/5*2\/740. Let h = 9\/25 - b. Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 8:40 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110110100000011010 (base 2) in base 11?\nAnswer: -1832242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, 2, -6, -18.\nAnswer: -18, -6, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/49*-46*(-1372)\/(-234416)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 501*g**2 + 7*g - 7. Calculate the remainder when a(-3) is divided by 249.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 163, 131, 99, 67, 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1178974 - -1695647. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.02 (c) -89.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7868\/3 - -7867\/3. Let z be (-9)\/(-4) + (-2)\/8. Which is the third biggest value? (a) o (b) 4 (c) -3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 11}. Give prob of picking 2 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/192783766 and 9\/532.\nAnswer: 385567532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 - 334 = -6*w. Let h be (w\/105 + -3)\/(1\/(-5)). Which is the nearest to 0.1? (a) h (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:35 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415 - -695. Let o = a - 192. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 25. Let v = x - 10. Let c = -1 + 1.3. Is v at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77188556.4 to the nearest ten thousand.\nAnswer: -77190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(10\/(-8)))\/10. What is the third smallest value in -0.13, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 q when three letters picked without replacement from gqlklsllglgqssqssss?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(20))*-2.\nAnswer: -4*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7891524.1 plus 2.5?\nAnswer: -7891521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v - 125*v - 91*v - 118*v - 115*v.\nAnswer: -422*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aztz when four letters picked without replacement from {z: 2, a: 13, t: 5}.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 278*f**2. Let x(w) = -w**2. Calculate l(x(t)).\nAnswer: 278*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-34 + 5 + (-4 + 7 - (7 + -6)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(114)\/(sqrt(24)\/sqrt(4)*3).\nAnswer: sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1221*k**2 + 181*k - 1112943 with respect to k.\nAnswer: 2442*k + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255005 = 5*n + 2*a, -5*a = -5*n + 318601 - 63596. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*m + 4*m - 2 + 1 + 0 + 98*m.\nAnswer: 254*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -138*l**4\/5 - 73972*l**3\/5 - 15192*l**2 + 5364*l\/5 + 1498 = 0.\nAnswer: -535, -1, -1\/3, 7\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w + w)*(5*w - 5*w + 2*w**3).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 776?\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3, -6*r + 11*r = 3*p - 49. What is the least common multiple of 48 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 9:06 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 + 191*r - 1889. What is q(18)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose 4*k + 3*y = 668, -2*k - 2*k = -h*y - 700. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35*-4 - (6 - 4 - 1). Let n = -42 - q. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/120 + f**5\/20 + f**4\/24 + f**2 + 107. Calculate u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l + 12. Let t be z(13). Let r = t + 55. Suppose 2*k = 128 - 12. Calculate the greatest common divisor of k and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97.473 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*n**2 + 633*n**2 - 365*n**2 + 71*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {e: 3, m: 1, f: 3, y: 8, h: 5}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + k**2 + 5*k**2)*(3 + 368960*k - 371576*k - 1) + 2*k**2 + 2*k**3 - 2*k**2 to h*k + a*k**2 + b + y*k**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.143792 in 0.1, 1\/28, 1?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/5 + 272*f**3\/5 + 27744*f**2\/5 + 1257728*f\/5 + 21381376\/5 = 0. What is f?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 2. Let k be j(4). Suppose 41 = 5*d - k. Let y = 64 - d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1120 = 4*v, -3*v = v. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315 + -273.1. Let r = -42 + d. Let l = -0.34 - -0.3. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 divided by 157.\nAnswer: -700\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 less than 12.595136?\nAnswer: 75.595136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1538 divide 119361104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -21d2?\nAnswer: -21d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 812, 1195, 1556, 1895, 2212?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsgggggsg. Give prob of picking 1 g and 2 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*i + 27, t + t = 4*i - 4. Suppose t*p = 2*b - 68, -4*p = p - 3*b + 86. Let y = -4 - p. Solve -y = 3*o, 2*q - o = 7*q + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4157 - 250 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001996403 to 7 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72143157.\nAnswer: 3, 23, 103, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -168. Find the common denominator of -79\/45 and (1 - (b + -1)) + 2730\/(-3500).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r + 2. Let i be x(0). Suppose -7*a + z + 1431 = -i*a, 5*z + 841 = 3*a. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4437 + -2?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (738\/(-2829))\/((-12)\/368)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16048711*o + 5435914 wrt o?\nAnswer: 16048711","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*p. Let y(j) = j + 2. Let t be y(p). Suppose 4*m = -0*m, x + t*m = 24. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-175)\/(-14). Let d(m) = -m**3 + 13*m**2 - 10*m - 3. What are the prime factors of d(t)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 16, 13, 5 in descending order.\nAnswer: 16, 13, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3))**(-31\/4))**(-3) assuming g is positive.\nAnswer: g**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a + -2e43?\nAnswer: -2e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580426 - 348175 = 2*y + g, -4*g = -3*y - 1392896. What is y rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7343, -7324, -7303, -7280?\n\"Answer: a**2 + 16*a - 7360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*q**3 + 0*q - 47*q**3 + q.\nAnswer: 283*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = -10 + 250. Solve -12*s = -16*s - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -3, -0.31?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 14*m = 353. List the prime factors of m.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*q = -q - 2, 5*t - 3*q = 16. Calculate the least common multiple of t and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 153961075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 2*l + 3. Calculate o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.578, 3, -2\/19 in descending order.\nAnswer: 3, 2, -2\/19, -0.578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 467.7008 millilitres?\nAnswer: 0.4677008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/20)\/((-4)\/2080). Calculate the highest common divisor of m and 832.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -46*(3 - (-1 + 5)). Let q be (-10 + 1)\/((-2)\/6). Let i = a - q. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3006032718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 19*b + 12229. Let h(j) = 2*j**2. Give d(h(q)).\nAnswer: 38*q**2 + 12229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 48 = -15*c. Suppose -w - 16 = -c*h, -11*h - 32 = -16*h + 3*w. What is the least common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*m - 12, 5*a = -m - 22 - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46389 divided by 47.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/7482 and -32\/27?\nAnswer: 67338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1184 and 57\/68?\nAnswer: 20128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(5\/3)*u))\/((u\/((u*u\/(((u\/(u*u*u**19*u*u))\/u)\/u*u))\/u))\/u)*(u*(u**(-1\/11)*u)\/u)\/(u\/u**(-10)) assuming u is positive.\nAnswer: u**(404\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -2*r + 11. Let p = r + 21. Calculate the remainder when 54 is divided by 88\/6 + p\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 13*g**2 - 48*g - 6. Let j be w(-6). Solve 8*v - j - 2 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29220 + 29225. Let s be (-2)\/(-9) - 125\/(-45). Solve -u = -v*u - s*t + 1, -4*u - 9 = 5*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 125. Give m(-26).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(847) - (sqrt(847)*1 + 3)) + sqrt(7) + (sqrt(847) - (2*sqrt(847) + sqrt(847))) + 4 + -2)**2.\nAnswer: 196*sqrt(7) + 67229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {j: 2, e: 2, i: 1, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. Let d be 2448\/(-952)*(-14)\/(-27). Which is the nearest to -1\/4? (a) m (b) d (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 7. Let b(s) = -12*s**2 + 5. Let q(h) = 7*h**2 - 3. Let z(n) = -3*b(n) - 5*q(n). What is c(z(a))?\nAnswer: -5*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7*d**(-5\/7) assuming d is positive.\nAnswer: d**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -4\/9 (c) 3 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 554120 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/7 + 21564*q\/7 + 24218480\/7.\nAnswer: 4*(q + 1595)*(q + 3796)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*q - 5, -30 = -5*c - 4*q - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n - 2. Sort -1\/2, n, 0.\nAnswer: n, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.89386l?\nAnswer: 89893.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266.65 - 5.35. Let c = w - -272.000176. What is c rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + 4*o)*(0*o - o**2 + 0*o) - o**3 - 9*o**3 + 4*o**3 + (17*o - 1 - 5*o + 0*o)*(-2*o**2 - 3 + 3).\nAnswer: -29*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.07 + 0.07. Put 1\/12, 4\/395, j in descending order.\nAnswer: 1\/12, 4\/395, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 20*j - 5*j - 2*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -12*g**2. Let v(s) be the first derivative of 5*s**2\/2 - 8*s - 37. Let x(k) = 6*k - 10. Let l(p) = -5*v(p) + 4*x(p). What is b(l(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 + n - 10. Let v be c(0). Let t = 50225\/2 - 25113. Put 3, -1\/6, v, t in descending order.\nAnswer: 3, -1\/6, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 2, -5*m - 4*i + 6152 = 0. Suppose -n - m = -5*q + 7*q, -n + 1852 = -3*q. Let x = -27 - q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010534513 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 5) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**12*x**(-10)\/x)**(-3) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a + 165. Suppose 5*k = -5*h - 290, k + 23 = -5*h - 39. Let p = -23 - k. Calculate the remainder when p is divided by i(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 98*w**2 - 27*w - 50219. Give u(103).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 234305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 571 = -547 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/12 + 13*c**3\/6 - c**2 - 3*c. Let q be g(13). Sort -0.4, q, 3\/5 in increasing order.\nAnswer: q, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 166889?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, -2, 3, -1\/3, 137\/11 in descending order.\nAnswer: 137\/11, 3, 2\/3, -1\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 - 3 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (15 - 35) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7259 and 10527097?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 106875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3 - 4*h - 2*h**2 + h**3 + 2*h + 2*h. What is j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*p + 17*p + 675. What is the highest common factor of p and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/16800 + a**7\/6300 - 7*a**4\/24 + 12*a**2 + 2*a. Let u(r) be the second derivative of i(r). Factor u(l).\nAnswer: 2*l**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56782\/132 - (-2)\/24*-2. Let i = g + -420. Factor i + 0*y - 5\/2*y**2.\nAnswer: -5*(y - 2)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**3\/13 + 87598*z**2\/13 - 120120*z - 157032\/13 = 0 for z.\nAnswer: -1\/10, 18, 4362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2. Let d(n) = 5*n - 7. Determine d(w(o)).\nAnswer: -10*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a week in seconds?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017 = -2488*l - 41279 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*p, -2*w + 4*p = -231 + 5. Calculate the remainder when w is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p + 3 = 0. Suppose p = 2*v - 5. Suppose 2*y - y - z = 2, -4*y + 12 = -v*z. Let g(u) = u - 6. Determine g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*z + 0 + 16*z + 5 - 2 in the form q + m*z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.8 - -9. Let s = c - -1. Let q = 0.7 - s. What is the nearest to -1 in q, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 58, 61, 46, 7, -62, -167, -314?\n\"Answer: -z**3 + 22*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g**3 - g**3 + 0*g**3 + g**2 - g + 6. Let s be o(0). Solve k + k = s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 134 + u**2 + 5*u**2.\nAnswer: 3*u**2 - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23 (b) 0.2 (c) -29 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62 - -4*(-30)\/24. Suppose -14*x = -365 + y. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 0.5 (c) 891\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 27*m + 72. Let o = -50 - -12. Let y = 54 + o. What is the remainder when k(26) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524*a = 548*a + 781368. What is a rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -10. What is the tens digit of (-2)\/6*(717 + c)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9432 - 9270. What is the remainder when k is divided by 120?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y + 12*y**3)*(13*y - 93 + 93).\nAnswer: 156*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 1120.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46598916 divided by 1807?\nAnswer: -25788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -57094359787 and 10.\nAnswer: -57094359777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 - 30*p**2 + 1925*p + 11548. Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677059.323 rounded to the nearest 100?\nAnswer: 677100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14537810.\nAnswer: 2, 5, 7, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019488671 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -40. Let a = 7 + c. Let n(j) = j - 2. Let v be n(1). Which is bigger: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 24346 and 24337 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10a1 (base 13) to base 8\nAnswer: -4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 862623?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3918)\/(-48975)*-2*1?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, j: 1, r: 3, c: 3}. What is prob of sequence pc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 4*o**2 + 7*o - 24. Determine n(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**3 + 7*s**2 - 941*s - 4. Let u(h) = 12*h**3 + 8*h**2 - 939*h - 5. Let f(y) = 5*c(y) - 4*u(y). What is the second derivative of f(o) wrt o?\nAnswer: -18*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-308*y**2 - 364*y**2 + 131*y**2)*(6*y + 4*y**2 - 6*y).\nAnswer: -2164*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(19\/4)*x*x*x)**16)**(-19) assuming x is positive.\nAnswer: x**(-2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-1) - 0\/1. Suppose 2*o + 3*o = z - w, 0 = 5*z. Let t(q) = q**3 + q + 1. Let g be t(-1). Are o and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a**(6\/5)\/a)\/(a**(-5)\/a**(-8)))**37 assuming a is positive.\nAnswer: a**(-1739\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 174*n - 416. Let j be f(3). Put j, -1, 4 in descending order.\nAnswer: j, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**3 - 8*s**2 - 3*s - 4*s + 10 + 2*s. Suppose -3*d = -4*d + 5. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1520 - 1520. Let z = -2 + 2.04. Let i = z + 0.26. Which is the third biggest value? (a) -0.3 (b) k (c) i (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7467122*o**3 - 2*o**2 - 634399340*o.\nAnswer: 44802732*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q - 10 = 0. Suppose 0 = 2*i + d + q*d - 11, -d = i - 8. Calculate the remainder when 38 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let j(k) = 271*k - 268. Let o be j(1). Solve -o*f = x + 1 + 1, 6 = 3*x + q*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 9*o - 12*o + 84, 0 = -t + o + 8 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 23*o - 34. Calculate d(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2 + -2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-84))\/(-1 - (-30)\/14). Let k = 487 + -487. Factor 3\/8*p**4 + n*p**3 + 0 - 3\/4*p**2 + k*p.\nAnswer: 3*p**2*(p - 1)*(p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-659 - 5) + (-2 - 0). Let f = 1295 + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 504*j + 1952 = 0 for j.\nAnswer: -122, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 9*l + 2. Let j be y(-6). Suppose 2*f - j + 14 = 0. Suppose -f = -g - 2*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 104, 72, -14, -178, -444, -836?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17616.6 - 17617. Let k = 3 - 0. Sort k, 0.057, d in decreasing order.\nAnswer: k, 0.057, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35210 - 34081. What is the remainder when x is divided by 228?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5522274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from {o: 2, u: 1, i: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.51*-0.2.\nAnswer: -0.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -12. Let f be v\/(-6) + (-60)\/152. Which is the smallest value? (a) f (b) -2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60896, -4, 3 in increasing order.\nAnswer: -60896, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 8 (c) 4 (d) 0.05 (e) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -8*w - 90. Suppose 3*n = 9 + 9. Suppose -r + 4*x = n, -5*r + 28 = -r - 3*x. Solve -w*p + r = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4031587*k*r**3 + 2*r**3 - 20*r**2 + 11*r + 137 wrt k.\nAnswer: -4031587*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(((-5)\/6)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Let l(k) be the second derivative of -k**5\/40 + 11*k**3\/6 + 4*k. Let n(g) be the second derivative of l(g). Determine n(t(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81848147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2666*i + 5044. Calculate the smallest common multiple of d(18) and 22.\nAnswer: 583352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*m + 23, 16309*g = 16305*g - 3*m + 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1823, 1850, 1879, 1910, 1943?\n\"Answer: p**2 + 24*p + 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 + 995483\nAnswer: 995484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 7*s - 4. Let b(f) = 4*f**2 + 3*f + 1. Let g be b(-2). Suppose 3*q = -3*c - 21, g = -0*q - 5*q + 3*c. Give w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -157. Let j(c) = -c**2 + 7*c + 5. Determine j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/61 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - s - 3. Let k = -11 - -5. Let g be w(k). Solve 4 - 1 = g*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - -3. Suppose 6*a = z + 56. Let u = -17 + a. Which is greater: 2\/27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 + -6. What is the third smallest value in -0.2, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-10) - (-666)\/(-90). Let x be (-60)\/9 - 1\/(-18)*k. Sort -5\/4, x, 5\/7.\nAnswer: x, -5\/4, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2. Let c(t) = 2*t**2 - t + 2. Let g(k) = -3*c(k) + 4*s(k). Let o(r) = r**2 - 74 - 4*r + 135 - 63 + 2*r. Give -2*g(y) - 3*o(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c + 36. Let j be c\/(-18) + 2\/3. Do j and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 170288206.2ms?\nAnswer: 0.2815611875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -87*u**2 + 38*u + 47. Give o(-2).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 320\/24 - (-2)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 + 126. Sort 5, c, 0, -1 in increasing order.\nAnswer: -1, 0, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)*1)\/(2*sqrt(3)*-4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 + 12 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g**3*p**3 + 2*g**3 - 5*p**4 - 194*p**2 - 1663382*p wrt p?\nAnswer: -54*g**3*p - 60*p**2 - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 11*t - 43. Give i(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -2*z + 102, 4*z - 195 = 5*b. Solve -j + z = 3*j - 5*k, -4*k = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {u: 2, m: 2, f: 4, d: 2, o: 8, b: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 divided by -75?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 840. Suppose -4*f - 2*c - 610 = 0, 5*f - 2*f + 4*c = -455. Let s = b + f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a64 - -22?\nAnswer: -3a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - c + 0 + (c - c - 4*c)*(2 - 2 - 2) in the form k*c + i and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/42 and 93\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, 0.793, 16, 18\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60934886 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368968930, -368968929, -368968928, -368968927?\nAnswer: -368968926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 18.39.\nAnswer: -17.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 10. Give c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264486 is divided by 1132222?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84 from -5.7.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-27*-6*(-11)\/(-792).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6886 and 5.\nAnswer: 34430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*u = 34, -2*z + u - 6*u = -2. Let i be (2\/z)\/(2\/(-6)). Let j be i\/(-5) + 3\/15. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7290\/324 + 22\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 + 1\/2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 104*b + 550. Give r(-46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) - (sqrt(70) - 1*sqrt(70)*1 - sqrt(70))) - sqrt(70) - sqrt(70) - sqrt(70))*-4)\/(-6*sqrt(160) - sqrt(70)\/(sqrt(7) - sqrt(7)*-2)).\nAnswer: -48*sqrt(7)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79 (b) 3\/4 (c) 1\/9 (d) -2\/15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 17. Let a be 2\/t - (-4)\/(-3). Let q = 7 - a. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -339 + 369. Suppose -17*w - 98 = -z. Let g(l) = l - 4. What is g(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*k**3 - 89*k**3 + 18*k**3 + (2*k**2 - 3*k + 4*k - 3*k**2)*(k + 2*k + 0*k).\nAnswer: -95*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -663\/1324 + 1\/1324. Is -175 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2336 greater than -2335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 5\/(15\/18). Let z be (-678)\/(-113) + -5 + -1. Solve -3*t + i = 3*i + k, -5*t + 2*i - 21 = z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*f + 282, -5*f = 3*h + 7 - 204. Solve 34*y - h - 101 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*d = -27, 0 = -o - 27*d + 29*d + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*m + 55*m - 57*m)*(0 - 1 - 1)*(3 - 1 + 0).\nAnswer: -296*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122650 by -5.\nAnswer: -24530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 64*j - 5. Let q be b(10). Suppose 3*c + 237 = 5*i, -4*c - 3*i = -0*i + 345. Let l = 91 - c. What is the highest common divisor of l and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/17 - 13875132*f\/17 + 13875134\/17.\nAnswer: -2*(f - 1)*(f + 6937567)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 19*y + 2. Let r(v) = 8*v + 5. Let x(s) = -20*s - 23*s - 16*s + 69*s + 6. Let w(c) = 6*r(c) - 5*x(c). What is w(l(k))?\nAnswer: -38*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -614\/1533?\nAnswer: -614\/1533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 4) in base 15?\nAnswer: -7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171355.73 + 172414.66002. Let v = -1057.83 + s. Let y = 1.1 - v. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -104, -305, -622, -1055, -1604, -2269?\n\"Answer: -58*c**2 - 27*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from jjjjjljjjjjjjjjjjj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*(194\/(-33) + 6).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28648583.\nAnswer: 1597, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 10 = -3*g, -3*g - 20*y = -15*y + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 1, k: 1, w: 3, o: 3}. What is prob of picking 1 k, 1 s, and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/3)\/(-5)*3771\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s + 5. Let l be p(3). Let n = l + -4. Let k be -4*(4 + 155\/n). Solve -5*i + i = -5*f + k, -19 = 3*i + 4*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (33 - 0))\/(-1). Let g be (-5)\/(150\/12) - (-22827)\/105. What is the greatest common factor of s and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.89 to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 228. Let k be 1*(1 + 9\/(-8)). Let c be 6\/4*(-4)\/(-3). Sort l, k, c.\nAnswer: k, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) - (-30)\/20 - 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c = 103, -4*w - 23 = -3*w - 2*c. Calculate the common denominator of -41\/12 and (3*w\/(-12))\/(9\/39).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 - 3*t**2 + 2*t**2 - 3*t**6 - 3*t**2 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -83, -184, -325, -506, -727?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2178, 3, -4, 2 in increasing order.\nAnswer: -4, 2, 3, 2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(6\/20). Let k = 17 - d. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5172, -10352, -15520, -20676, -25820?\n\"Answer: 6*j**2 - 5198*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 465\/2*12\/15. Suppose 0 = -5*s - 66 + o. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030795 is divided by 3170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163297.3us in minutes?\nAnswer: 0.036054955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r = 34, 2*r + 34 = 2*x - 0*r. Let p = x - -2. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 115. What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300003 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a century in decades?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*d + 278 + 157 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92.98343924 - 86.183439. Let b = -213.2 + 220. Let s = b - w. What is s rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*-5)\/(sqrt(128) + sqrt(128) + sqrt(128) + -3*sqrt(128) - sqrt(8)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/18 + (14\/6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) -3\/2 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -10. What is the remainder when 12 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in 0, -3, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(3\/(-162)). Suppose -5*z + o = 4*a - 11, -2*a + 4 = 0. Let s be -10 + 3\/(45\/210). Solve z = -2*n + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*v - 912 = -625 + 2056 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -109. Suppose 0 = 2*z - t + 30, 37 - 6 = -3*z + 5*t. Let w = z - k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n = -7433 + 1973. Is 97 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073199.51us in days?\nAnswer: 0.000012421290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 2*o + 2. Let r be j(2). Suppose -6 = -4*l + r*l. Solve -l*k - k - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -80. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3778, 7545, 11300, 15037, 18750?\n\"Answer: -o**3 + 3774*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 + -1355432?\nAnswer: -1355263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6456908 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - x = 19 + 3, -5*x = 3*s + 2. Let c be 7 - s\/(-4)*-2. Solve c*z - 3*z = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 2701 = 62*s. Solve -129 = -s*r - 465 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let g(i) = 2189*i - 2. Let x(v) = g(v) + 4*o(v). Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c**3 - 42 + 10*c**2 + c**3 - 45*c**2 - 72*c - 26. Let u be z(37). Which is smaller: -20 or u?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.4604 to 1 dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 4. Let l(a) = 3*a + 3. Let q(x) = 4*l(x) - 3*y(x). Let h = -5 + 8. Let n(s) = -2*s + h*s - 3*s. Determine q(n(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 558 or 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/258531 equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(196)\/sqrt(7)*3)**2.\nAnswer: -256 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01339, -11300, 2\/9 in descending order.\nAnswer: 2\/9, -0.01339, -11300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.376 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827.8859 decades to centuries.\nAnswer: 82.78859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 + 8*m. Let p be b(-7). Let r be (p - -4)\/((-6)\/140). Let y = r - 48. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611000765?\nAnswer: 5, 19, 83, 77489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 11, h: 4}. What is prob of sequence hsv?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 1\/5, -1, -1\/11 in increasing order.\nAnswer: -1, -1\/11, -0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4203 times -0.3\nAnswer: 0.12609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n + 61\/2*n**2 + 78. Let s(z) = z. What is s(d(b))?\nAnswer: 61*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a - 3*a + 8*a)*((1 + 1 + 0)*(1 - 2 + 0) + 7 + 7 + 3).\nAnswer: 90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1235? (a) -3 (b) 1\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 - 7*h - 9. Let l be z(-5). Suppose 1 = -n + 5*a, 4*a + 2 = -3*n - 58. Let m be (-88)\/n + l\/2. Solve 2*o = -0 + m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 + -280.96. Let x = 6.8 + v. Let d = -1.9 + x. What is the third biggest value in d, 2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/1*6\/(12\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.58 - -0.02. Let y = -461.18430065 - -459.5843. Let f = y + t. What is f rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3 - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 + m**3\/3 - m**2\/2 + 257*m + 24. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a0393 (base 14) to base 7\nAnswer: 10562043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -269*g + 13275. Let r = 25 + -9. Calculate the remainder when d(49) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/7)*k))\/(k**(-3)*k)*k**(-3\/4)\/k*(k*k**(-4))\/k)**(-13) assuming k is positive.\nAnswer: k**(1417\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9183 is divided by 287.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = 11*q + 144 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1890, -7578, -17060, -30336, -47406, -68270, -92928?\nAnswer: -121380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 - 1232?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9915454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -13. Is m less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 100\/6 + 8\/6. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40431568?\nAnswer: 2, 29, 79, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5852, -5902, -5980, -6080, -6196, -6322, -6452?\nAnswer: -6580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/((-39)\/(-18)) - 5. Solve -h - 2 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -4*a + 11*x - 5, 0 = -2*a + 4*x + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2688 and 784?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.168 (b) 5 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1908 and 75\/2.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 115*d - 79 - 111. Solve 0 = -d*w - 3*o, -12*o + 10 = -14*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)\/a)\/(a**(-4)\/a))\/(a\/a**14*(a**3\/a)\/a) assuming a is positive.\nAnswer: a**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 24. Let k be y(-10). Suppose 4*u = 47 + 33. What is the greatest common divisor of k and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/399 and 38\/49?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/16046 and -47\/3976.\nAnswer: 449288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 3*r**2 + 6*r**2 + (0 + 2 - 5)*(-8 + 8 - 14*r**2) in the form k + s*r**2 + z*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2060602*a**4\/5 - 525331098*a**3\/5 - 31212636*a**2\/5 - 618104*a\/5 - 816.\nAnswer: 2*(a - 255)*(101*a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/28 + (-115)\/(-20). Let i(c) be the second derivative of -c**5\/20 + c**4\/2 + c**3\/6 - 5*c**2 - 2*c + 1. Determine i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s + 16 = 0. Is (s + 15)\/(2\/20) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 114 = -3*q + 15, -3*q = 4*n - 120. Calculate the greatest common divisor of q and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 315 = -5*z + k, 0 = 3*z - 3*k - 177. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 2449167?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -20*f**6 + 107*f**2\/2 + 195. What is the second derivative of s(b) wrt b?\nAnswer: -2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -43*y + 17*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10783 + -248020\/23. Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*q + 708 = 102*q. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 383 + 556609*m - 556609*m - 37 + 3*m**2 to q*m + k*m**2 + t and give t.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:03 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1098?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, u: 13}. Give prob of picking 1 u and 1 p.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 - 41*v**3 - 10*v**2 + 9.\nAnswer: 48*v - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*b + 10, -3*y - 4 = 2*y + 2*b. Suppose 3*a = -2*o - 7 + 24, y = -5*a - 5*o + 35. Solve 0 = -2*j - m - 5, -a*m = -j - m + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.278 + -1.278. Are g and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - 700\/15. Let s(t) = -t**2 - 22*t + 11. Let z be s(-19). Let c = m + z. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6 + 246*i + 2 + 33*i**2 - 12*i**2 - 256*i - 20*i**2. Determine k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3164.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12) - (-14)\/(-38). Let c = u + 67\/285. Let i = -18\/409 - 20324\/2863. Calculate the common denominator of i and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5 = 5*i. Let g(a) = a**2 - a + 3. Let w be g(1). Let b be (108\/45)\/((-30)\/(-100)). Solve 0 = -5*l + 3*k - b - 11, -i = 5*l + w*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001320957 to six dps.\nAnswer: 0.001321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 18. Let t(v) = 8*v - 17. What is 6*t(b) + 5*w(b)?\nAnswer: 3*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-1500))\/(3 + 40\/(-12))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/7)\/((-2736)\/(-336) - 8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45880199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 + 20 - 19 + 27*k + 2*k**3 - k**4 - 8*k**2 to n*k**2 + a + i*k**4 + b*k + f*k**3 and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 - 9*t + 4. Let c be z(7). Let i be (-4)\/(-10) - 6\/c. Let f = 0 - i. What is the third biggest value in 4, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 329*h + 364 - 918 = 2956 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 78*s**2 - 44*s - 123. What is the units digit of f(41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91973, -92014, -92075, -92156, -92257, -92378?\n\"Answer: -10*g**2 - 11*g - 91952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + x - 2. Let q(a) = -13*a**2 + 3*a - 7. Let c(n) = -7*b(n) + 2*q(n). What is the second derivative of c(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j**(-1\/4)*j)\/j*j))**(2\/31) assuming j is positive.\nAnswer: j**(-3\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1732*n - 2. Let g(l) = 12527*l. Calculate x(g(p)).\nAnswer: 21696764*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32841*h**2 - 2*h + 155802?\nAnswer: 65682*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/12 - 3*p**3\/2 + p**2 - 3*p. List the prime factors of g(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 374 = -4*p, -p = -0*p - s - 94. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949386 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 product of 259 and 0.16?\nAnswer: 41.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2125 (base 11) to base 7\nAnswer: 11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + -180. Solve z + f = -4*s + 4*z, 5*s = 4*z - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1. Let p(b) = 3*b + 21. Let q(j) = 15*g(j) + p(j). Let x be q(-12). Does 30 divide (12\/x)\/(2\/(-300))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:49 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100100001100001 (base 2) in base 5?\nAnswer: -10142230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7936 and 95728?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960058 is divided by 9028.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (189\/6)\/(-7)*20\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*j + 582*j - 2517 = 0. List the prime factors of j.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f**2 + 25*f**2 - 17*f**2 + 6*f**2.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = l - 76, 49559*l - 49560*l - 4*a - 11 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*r**2 + 3*r - 2 + 12*r + 6 - 17*r.\nAnswer: 257*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhz when four letters picked without replacement from hzhzzzzhhzhz?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.3 (c) 32 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256818968 by 7609.\nAnswer: 33752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196238872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -78*c + 2516. Give o(32).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 96 = -33*x. Let i(o) = o**2 + 5. Let n be i(0). Let q be n*-1*4\/x. Which is the third biggest value? (a) -0.2 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266610002 to the nearest integer?\nAnswer: 16328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**4 - 23*z**3 + 51*z**2 + 324*z + 435. Let r(m) = 4*m**4 + 68*m**3 - 148*m**2 - 972*m - 1304. Let c(o) = 8*i(o) + 3*r(o). Factor c(a).\nAnswer: 4*(a - 4)*(a + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 40 = -7*g. Suppose 3*l + g = f, l - f + 11 = -3*l. Suppose -6*q + 15 = -q. Put 2, l, q in decreasing order.\nAnswer: q, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/31506 and 31\/14?\nAnswer: 220542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 7. Let u(m) = 1. Let k(l) = -c(l) - 2*u(l). Let r(h) = 2*h + 11. Let i(y) = -9*k(y) + 4*r(y). Calculate i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mmmymklymmym.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = 3. Suppose -m = r + 1. Let j be -6 + r + 3 + 3. What is the second smallest value in j, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 30969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 67, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315 (base 7) to base 10.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 - t**2 - 9*t - 8. Let w be g(-1). Let b(u) = 6*u. Let c(l) = l**2 - 7*l. What is w*c(f) + 7*b(f)?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17) + -2 + sqrt(17))*-5 + -2)**2.\nAnswer: 80*sqrt(17) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 209 * 64643\nAnswer: 13510387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 180 = -4*o. Solve -39*r + o*r + 5*m = -9, -2*m = 2*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5496827 and 142569.\nAnswer: 49471443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8999, 18001, 27001, 35999, 44995?\nAnswer: 53989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -130. Calculate the remainder when 57 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5, c: 4, r: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 73*l + 458598 + 2985150 = 0. List the prime factors of l.\nAnswer: 2, 3, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 + 2*f - 2. Let j be (18\/24)\/(1\/(-4)*-1). Let h be j + ((-3)\/(-1) - 5). Let a be w(h). Solve 3 + 1 = a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -25*s - 3. Let p(r) = r**2 + 2*r. Let y be p(-2). Solve 0 = -y*l - 2*l + 2*n + 8, 0 = 4*l - s*n - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -134 (b) -2 (c) 1 (d) -4 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -16. Suppose 0 = -6*v + 16 - s. Suppose -5*p - 3 = -4*h + 5, -5*h + 2*p + 27 = v. Solve 5*k + 1 = 2*t + h, -5*t + 12 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*h + 8, 4*h = 3*f - 3 + 35 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -72. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64\/5 of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53100 + 263723\/5. Let a = 359 + v. Calculate the common denominator of -22\/5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z - 434. Let l(w) = -11*w**2 + 8. What is r(l(n))?\nAnswer: -99*n**2 - 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4434*r**5*x**2 - 2*r**2*x - r*x**2 + 1316*x wrt r.\nAnswer: 266040*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15960113 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 13*u + 9. Suppose 15 - 3 = 4*t - 4*l, -3*t + 3 = -5*l. Let f be m(t). Let y(v) = -3 + 1 - v**3 + 0*v + 4*v**2 - v. Give y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1846 and 22294.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 990*y**2 - 4*y + 50. Is l(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098252 a multiple of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let g(i) = 5*i + 1. Let f(y) = -g(y) + 4*t(y). What is the remainder when f(-6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*6*(-275)\/(-450)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457?\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -841154 divided by 24\nAnswer: -420577\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*o + 40, 3*v - v = -o - 6. Let k(g) be the second derivative of -g - 1\/2*g**2 + 1\/3*g**3 + 1\/30*g**6 + 0 - 1\/10*g**5 + 0*g**o. Factor k(r).\nAnswer: (r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2411\/8 - 301. Suppose 4 = -5*z + 9. Is a not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 20. Solve -2*o + v*o = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(33) - sqrt(33))*3)\/(sqrt(21)\/(-4*sqrt(7)) - sqrt(3)).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10545203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 12*b + 9. Suppose -2*o = -b*u - 0*u, -4*o + 2*u = -8. Suppose -2*t + 3*m + 43 = -225, -o*m = -3*t + 396. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 38*o - 646. What is z(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, 103, 1640, 4867, 10348, 18647, 30328, 45955?\nAnswer: 66092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 66*a**2 + 208*a - 30. Give c(69).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-40)\/35)\/(3\/(-21)). Suppose n*h - 9702 = -6*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 57 = b, -3 = v + 4*b - 54. Let p = 101 - v. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -10, 32, 0, 3 in ascending order.\nAnswer: -10, -5, 0, 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 13. Suppose 2*i = -2*g + 14, 11 + q = -5*g. 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 cth term of 245, 289, 383, 551, 817, 1205?\n\"Answer: 4*c**3 + c**2 + 13*c + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 780 and 4524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -5 - -4) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*(t*t**(-3\/8)*t*t)\/t*(t*t\/(t*t*t**(-3\/13)*t)*t*t)\/(t**(3\/4)*t) assuming t is positive.\nAnswer: t**(1051\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2338, 2440, 2542, 2644, 2746?\n\"Answer: 102*o + 2236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-73)\/(-365))\/((-2)\/50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 256\nAnswer: -5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-60)\/(-52) - -512202*4\/52. Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (4 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/60)\/(2\/(-8)). Factor 8\/5*d**2 - g*d**3 + 0 - 4\/5*d.\nAnswer: -4*d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, o: 3, u: 2, y: 1, h: 4}. Give prob of picking 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 6. Let w = -10 - -5. Suppose 0 = 5*d + p + 7, -11 = 65*d - 62*d + 4*p. Which is the closest to d? (a) h (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - 221. Let t = r - -335. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.0000067 - 120. Round p to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*x - 21835101 = -1865017. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 14 + 1 + 436*u + 0 + (-9*u + 39*u + 2*u)*(-1 + 3 - 4) as g*u + h and give g.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0368 or -2\/21203?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1)\/(1\/24). Let t be 6\/(-15) - g\/20. Factor 2\/3*z**5 + 0 + 0*z**t - 2\/3*z**3 + 0*z + 0*z**4.\nAnswer: 2*z**3*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*f*g**4 - 1000*f + 218191*g**4 + 2*g**2 - 9733*g wrt g.\nAnswer: 864*f*g**2 + 2618292*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3 - -2 - 1\/3. Suppose g = -4*m + 7 + 9. Is 16 a factor of (-2 + (-24)\/m)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3) - sqrt(42) - sqrt(42))\/sqrt(6) + sqrt(7) + sqrt(7) + 3*(-1 + sqrt(7)) - (-2*sqrt(1008) + sqrt(1008) + -4).\nAnswer: 1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/40392 and -7\/176256?\nAnswer: 1938816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1*2)\/((-910)\/(-65)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 20, -17, 2, -5, -42 in increasing order.\nAnswer: -42, -17, -5, 1, 2, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 31940.\nAnswer: 255520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0 - (-13 - 12))*(6 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let i be -1 - ((-12)\/o)\/(-4). Suppose 4*j + i*j = 24. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1)\/d*d)*d*d)**(-39)*d*d**(3\/11)*d*d*d*d\/d**(3\/8) assuming d is positive.\nAnswer: d**(-13297\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Let y = 4 - h. What is the units digit of ((-1)\/3)\/(y\/(-732))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*s**3 + 0 - 38*s**3 - 4 + 3 wrt s?\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n - 1273089 - 2*n**3 - 68*n + 1273089 + 32*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 7833 + 36591 = 0. What are the prime factors of l?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/6759 and 31\/3004.\nAnswer: 27036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -20, 2\/7, 6, 2, 46, 2\/13?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 3600\/272)\/(75\/9 - (-70)\/(-10)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56693 and 19.\nAnswer: -56674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 694 and -64.\nAnswer: -44416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 + 135*h.\nAnswer: 135*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f + 173. Let g be n(-10). Solve o - 5*v + 4 = g, 2*v = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330084*c - 1133*c**3 - 330084*c.\nAnswer: -1133*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16268 = 4*q - 4*x, 810 + 15413 = 4*q + 5*x. Does 126 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160949, -321903, -482859, -643817, -804777?\nAnswer: -965739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*9\/12. Let c = d + -43\/24. Which is smaller: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r + 26. Calculate the remainder when a(6) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001110000000011100100 + -1011?\nAnswer: 1000001110000000011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1058027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3516*w**4 + 2*w**3 - 3542*w**4 + 4*w**3)*(-4*w + 3*w + 0*w).\nAnswer: 26*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-9)*(4 + -1). Suppose -9 = 2*k - 5*k. Let s = f - k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 528187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27339369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24705 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -807, -6321, -21293, -50451, -98523, -170237, -270321, -403503?\n\"Answer: -788*o**3 - o**2 + 5*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 35\/(-3)) + (-3)\/(-9). Let h(a) = -2*a**2 + 11*a - 22. Give h(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210563044.\nAnswer: 2, 41, 67, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 - 12 = -5*z, 3*z = -3*v + 27. Let m be 31924\/207 - (22\/18 + -1). Suppose l = -6*l + m. Calculate the remainder when l is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -5, 22\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 6*q - 1. Let d be y(-7). Suppose 2*j = 4*r + 4*j + 8, 0 = -4*r + 4*j - 32. Let t = r + d. Solve t*i - 1 = 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*o - 270, 0 = -3*o - h - 0*h + 195. Calculate the highest common factor of o and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708 (base 10) in base 3?\nAnswer: -222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -25. Suppose h = 2*y - 3*o, -3*o - 6 = 4*y + 22. Which is the closest to 2? (a) y (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*p**3\/11 - 283614*p**2\/11 + 372408816*p\/11 - 41375256\/11.\nAnswer: 6*(p - 2626)**2*(9*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/21)\/(5\/(-45))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 6. Suppose 5*x + 7 + 4 = -2*j, -5*x = 5. Calculate the remainder when p is divided by (-13)\/j + 6\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284590695 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 590\/(-413) + 115\/7. Let a(v) be the first derivative of -t + 3\/2*v**2 + 0*v. Let c(h) = 7*h**2. What is c(a(y))?\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, -1303, -4965, -12099, -23863?\n\"Answer: -193*f**3 + f**2 + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -87257384 < -87257382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -320*-3\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713651\/11 or 64877?\nAnswer: 64877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 11. Let x be h(9). Let a be x + (-1)\/(-1) + 1. Solve a = 5*o - 0*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4210267 and 71\/539010.\nAnswer: 378924030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -306, -425, -542, -657, -770, -881?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 5*n**6\/6 - 5*n**4 + 10*n**3\/3 + 15*n**2\/2 - 10*n + 23. Let p(b) = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1245637035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.418181 millennia in years?\nAnswer: 3418.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -654 (b) 2\/11 (c) 8 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897.6 less than 0.5?\nAnswer: 2898.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*d - 18 + 9, 11*y + 3*d - 23 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20448651?\nAnswer: 3, 127, 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*d**4 + 246*d**2 wrt d.\nAnswer: 1848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/150 + r**4\/20 + 2*r**3\/3 - 67*r**2. Factor h(o).\nAnswer: -2*(o - 5)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let g be 1\/((((-6)\/2)\/27)\/1). Let w = 9 + g. Solve -3*f = i - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**8\/12 + 23*p**4\/24 - p**3\/3 + 792*p**2. What is the second derivative of b(h) wrt h?\nAnswer: 560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1558 - -745.9. Let i = y - -758. Let r = i - -54.0999721. What is r rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - c + 1. Let y(d) = 4*d**2 - 6*d - 12. What is 6*f(b) - y(b)?\nAnswer: 2*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-861)*490\/(-175)?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 13 - 3. Solve n = -g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -17*c + 59. Determine b(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073.698ml in litres?\nAnswer: 2.073698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2, -80 in decreasing order.\nAnswer: 5, -2, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36. Let l = -9 - -6. Which is the second smallest value? (a) l (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -639455196 divided by 6\nAnswer: -106575866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - z - 1871 - 1754, 2*s = -3*z + 1823. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - -17. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 308577.89 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -3. Let i = -16 - j. Let q(r) = 2*r**3 + 2*r**2 - r + 2. Let u be q(-2). Which is the smallest value? (a) -3 (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 8. Let i = 294 - 184. Suppose i - 116 = 2*w. What is z(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**18\/m)\/m**13)\/((m\/(m\/m**(15\/2)))\/m**(-1\/59)))**25 assuming m is positive.\nAnswer: m**(-10375\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-four fifths of a gram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -137, -476, -1035, -1814?\n\"Answer: -110*n**2 - 9*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -552\/1403065 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.04 - -0.04. Which is the nearest to r? (a) 2 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g + 956 = 172 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -18. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d + 3*g, -g - 3 = -2*d - 5. Suppose d = -4*t + 4, 20 = 2*b - 0*t - 4*t. Let w = 22 - b. What is the smallest common multiple of w and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 468\/5 - 94. Let f = 85 - 217. Let o = -137 - f. What is the closest to k in 3, o, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 377212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741023094?\nAnswer: 2, 3, 7, 41, 653, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 2*t, 0 = -i - 301*t + 303*t. What is the greatest common divisor of 150 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/21)*r)**(10\/17))**(4\/21) assuming r is positive.\nAnswer: r**(760\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 490617683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7.93. Let c = -66.9 - -62.9. Put c, l, 2 in decreasing order.\nAnswer: 2, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 78348*q - 1254079. What is s(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 13*k**2 - 3*k + 268. Determine o(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15584\/1461*18\/(-12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26.09335 centuries?\nAnswer: 2.609335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*o + 22*o = -c - 116, -4*c = 4*o - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeuyuyeuututtsuysa. Give prob of picking 2 e.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 7*x**2 - 2*x + 15. Calculate u(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211.31 + 214. Let z = c - 2.6899879. Round z to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137481860?\nAnswer: 2, 5, 89, 77237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/18 - 7*z**5\/15 - 3*z**4\/2 - 22*z**3\/9 - 13*z**2\/6 - z + 121. Solve p(g) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/600*30\/(-70))\/(-9).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 71018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.652366 to the nearest integer.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609107565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 5435 = -13*a + 4*j, 0 = -5*a - 3*j + 5435. What are the prime factors of a?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 271?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 21. Let p be n(9). Let u be 4\/(-8)*5\/(70\/p). Which is the closest to 1\/4? (a) 0.3 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(114)*2)\/sqrt(6) - (sqrt(76) + 2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164965 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 12*u**2 + 14*u + 16. Let b be k(-13). Which is greater: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -116*i + 12522. What is b(108)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 3*l**2 + 3*l + 4. Let m be y(-6). Let q = 1078 - m. Is (2\/(-4))\/((-4)\/q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 880251?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -33, -29, -9, 33, 103, 207?\n\"Answer: f**3 - f**2 - 10*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28147 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16012, -16014, -16016?\nAnswer: -16018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*42)\/(84\/56). Let g = l - 89. Is 15*((-14)\/(-6) - g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 34*y**2 - 664*y + 29. Is 13 a factor of s(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9 - 20*r - 10 in the form y*r + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 1*sqrt(102))*-5)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -372*x**3 + x**2 + 8*x + 6. Let t be h(-1). What is the units digit of (t\/(-2))\/(26\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2617 + 2911. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - 22*w - w + 2*w)*(28 - 8 - 12) to l + q*w and give q.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 38.114. Let j = x + 0.866. Let v = j + 4.02. Which is the nearest to -1\/3? (a) v (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9465 - 10890 + 715 - 24*o + 710.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 8 - 8 + 5*f**2 - 3*f**2 - f**2 + (-3*f + 5*f - f)*(-2*f + f + 3*f) - 3 + 3 - 2*f**2 + (-f - 2 + 2)*(3*f - f - 3*f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - l)*(6*l**2 - 1 - 2*l**2 - 6*l**2) as m*l**2 + o + k*l + z*l**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -281440*r. Let b(m) = 125*m. Determine b(j(i)).\nAnswer: -35180000*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**29*c)\/c*c))\/(c*c**27*c) assuming c is positive.\nAnswer: c**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 253 = -67. Let k be 3\/2*g\/60. Suppose 5*w = -5*l + 4*w + 21, 3 = k*l - 5*w. Solve b = -0*b - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 2137690?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296721908339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 6810?\nAnswer: -6810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t**2. Let i(f) = -10*f**2. Let m(z) = 7*i(z) + 4*s(z). Let o(u) = -2*u. Determine o(m(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o**2 - 2. Let c be t(1). Suppose -12 = -8*l + c*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 - 16*w**2 - 69*w - 1311. List the prime factors of q(-15).\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*l + 116, -863 = 3*g + 45*l - 860 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227 + -224. Let q be 16 - m - (6 + (-8 - -6)). Solve k - q = -4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h = -6*x + 127*h + 51, 25 = -5*x + 5*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -20*s**2 - 45*s - 46. Let j be q(-1). Sort -5, 0, 5, j in descending order.\nAnswer: 5, 0, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-288 - (-6)\/1)\/(-2). Let h be 188\/t - -10*(-2)\/(-12). Factor 1\/4*k**h + k + 0 + k**2.\nAnswer: k*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + y = -19, 3*z = 7*z + 4*y - 20. Suppose -33 = -4*u + 2*h - 3, 2*u - z = -2*h. Let f = 624 + -621. Solve f*c = 3 + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42596681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 + 167 + 23)*(-2*z**2 + 2*z**4 + 2*z**2).\nAnswer: 702*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004479148797 rounded to 7 decimal places?\nAnswer: -0.0004479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 2*h + 0*h + 3 + 4*h**2 + h. Let w be s(-2). Calculate the common denominator of -13\/53 and w\/(-2)*94\/7.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/464 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46955, 46953, 46949, 46943, 46935, 46925?\nAnswer: 46913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -26 - -1 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 10*d - 961. Let g = d - -1350. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4685903*p**2 + 8833420*p + 3.\nAnswer: -9371806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -5*h, w - 4*h - 4 = -12. What is the remainder when (-3 - 5) + 12 - -17 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*c - 3*h + 49, 0 = c + 4*h + 31. Let w = c - -31. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 9*n + 486. Let g = -78 - n. Let w be -3 - -3 - (g + -2). Which is bigger: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(-4*6*sqrt(27))**2.\nAnswer: 373248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 2713 + 2712 - q + 0*q**4 - 2*q**4 + 264*q**3 - q in the form t*q + c*q**3 + j + h*q**4 + g*q**2 and give c.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*t - 773*t + 13*t)*(2 + 2 - 1) to c*t + f and give c.\nAnswer: -2430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p + 1\/6*p**3 + 0*p**4 + 0 - 1\/60*p**5 + 14*p**2. Let v(l) = l**3 + 7*l**2 - 3. Calculate v(x) + 5*z(x).\nAnswer: x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2368 and 2992856?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4464, 4465, 4466, 4467?\n\"Answer: v + 4463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364751181 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22212130 rounded to the nearest ten thousand?\nAnswer: -22210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-167376)\/64 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004263049809 to 4 dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by -1289.\nAnswer: -175\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(8\/(-28) + 2\/7). Suppose a = -2*h - g - g, -h = -5*g - 18. Let s(r) = 6*r - 3 + 4*r - 14*r. Give s(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1\/3 (b) -0.1 (c) 7.8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*b**5 + 2*b**4 - 2120*b + 9?\nAnswer: 840*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18236\/15 + 3646\/3. What is the nearest to -1\/3 in 22, f, -7\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -275, -667, -1085, -1535, -2023, -2555?\n\"Answer: -q**3 - 7*q**2 - 364*q + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2087, 8389, 18893, 33599, 52507, 75617?\nAnswer: 102929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.809641 minutes?\nAnswer: 228578460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -19) + (5 - -2) + -5 + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2059126 = 340874. Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 22. Let f(i) = 5*i**2. Give -b(p) + 2*f(p).\nAnswer: 11*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 + -770?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220\/13 - 3326\/195. What is the third smallest value in 19, b, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3831 or -19162\/5?\nAnswer: -19162\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 482178, -0.4, -2\/11, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*h**5 - 19*h**5 - 7*h**3 + 7*h**3 - 77*h wrt h.\nAnswer: -920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 19*k - 72. Let a be i(4). Solve -4*z + 20 = -a*l, -z - 4*l - 1 + 6 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l - 2. Let v(r) = -14*r + 5. Let j(q) = -5*d(q) - 3*v(q). Calculate the remainder when j(8) is divided by (-942)\/(-54) - 185\/(-333).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5113853946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w = 24*w + 335 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 79. What is the lowest common multiple of 270 and s?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -0.038, 4, -1\/5, -3 in decreasing order.\nAnswer: 4, -0.038, -1\/5, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*l + 4448*f**3 - 40*f*l - 21*f - 31*l wrt l?\nAnswer: -f**3 - 40*f - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 199489849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 - 770*i**3 - 3884*i**2 - 6232*i - 3120 = 0.\nAnswer: -2, -1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose -3*u = -y*u - 9, 12 = 3*o - u. Find the third derivative of 4*t**3 + 0*t**3 + t**2 - 3*t**3 + o*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -8 + 0 + -8 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (25 - 25)) + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5 + 0 + 11 + -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.917 - 9. Let u = i - 92.917. Let o = u - -104.4. Round o to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 418431*m**2 + 96540?\nAnswer: 836862*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -394373541 > -394373540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 2 + 43 + -43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44100000 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1dd?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13275 - -159645. What is the tens digit of 1\/(-6) + (a\/(-36))\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 8:43 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 3. Is a at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000206 (base 8) to base 3\nAnswer: -11221012010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 42 (c) -1\/8 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1330454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 24118280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 7*r**2\/2 + 3*r + 44. Let c be t(6). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as -175\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times 2445?\nAnswer: 205380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-12 - 11) + 24 + 44?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010088853287 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 4*j + 5. Let z be q(3). Suppose -h + z = -2*v, 2*h - h = 4*v + 11. Is (58\/3)\/(h\/33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/117 - ((-10350)\/234 + 2)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1861 + -1266. Let o = h + -589. Solve l + o*l - 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.44246 + 0.18669. What is l rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3*x - 4. Suppose 10*j - 7*j = 0. Let l(g) = 2*g - 5. Let y be l(j). Let k be h(y). Solve -o - k = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 + 31 + 2*v - 2. Let d be u(-13). Suppose -186 = -o + 3*h, -o + 727 = d*o + 5*h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/25 - 29\/100. Let t = -3.139 - 0.061. Let k = 3.4 + t. What is the nearest to o in k, -2, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from puupp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -6*(sqrt(200) - (sqrt(200) + 2 + sqrt(200))))**2 - ((3*sqrt(200))**2 + -2).\nAnswer: 1680*sqrt(2) + 8146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 8. Determine f(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 217*h**4 - 3930*h**3 - 855550*h**2 - 14850389*h + 15709653 = 0.\nAnswer: -31, -27, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -6*x - 10. Suppose 4*z + r + 924 = 0, -z - 4*r = -x*r + 224. What is z rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c + 4. Let l(d) = -7*d**3 + 2*d**2 + 3*d + 2. Let n be l(-1). Let x = n + -5. Calculate y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + t = 21, -8*w + 7*w - 4*t = -28. Suppose -w*k - 1970 = -2*q - 10*k, 0 = -k - 3. Let b = q + -697. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*f - 714*f + 80028 = 238*f + 681*f for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 864935.29 to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55461002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j - j)*(j**2 - 2*j**2 + 2*j**2) + 27*j**3 - 27*j**3 + 3*j**4 - 3*j.\nAnswer: 2*j**4 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 204 and 14100.\nAnswer: 2876400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/338902 and -25\/18.\nAnswer: 3050118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**2 - 10 + 10 - g**3 + (-2 + 0 + 1)*(-2*g**2 + 3*g**3 + 2*g**2) as o*g**3 + a*g**2 + j + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*k**3*n + 256*f*k**2*n*t + 2*f*k**2*n - 2*f*k - 4*k**4*n*t - 10*k**4*t + 2*k**2*n*t wrt k.\nAnswer: 18*f*n - 96*k*n*t - 240*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(4*m + 3*m - 3*m)*(6*m**3 + 4*m**3 - 4*m**3).\nAnswer: -120*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549461 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - f - 7*f - 2*f + 22 + 7*f as r*f + y and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948 (base 13) to base 4.\nAnswer: 120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52))**2*4 + -6*sqrt(39)\/sqrt(3).\nAnswer: -6*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 3. Suppose -c*t + 10 = 2*t. Suppose -5*y + 242 = -t*a + 659, -4*a + 841 = -3*y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + n**2 + 5*n**3 - n**4 + 2 in the form u*n + v*n**3 + z + l*n**4 + y*n**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r + 4. Let b = -4030 - -4032. What is t(b)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 84 + 119*t - 28 - 29 as x + y*t and give y.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20088 and -127\/3490848.\nAnswer: 31417632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01195 rounded to 4 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 12*f + 7. Let i be y(12). Suppose -i*z + 4*z = -9. Solve 4*s - 2 = -3*b, 0 = -4*s + s - z*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1963 - 1375*u - 1963 - 659*u to the form b*u + r and give b.\nAnswer: -2034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 5*b + 3*b + (-4*b - 2*b - 2*b)*(1 + 1 + 0) - 22 - 34*b + 9*b + 22*b in the form g + i*b and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2964\/15561)\/(22\/28 + (-1)\/2). Which is the third biggest value? (a) -0.2 (b) 0.4 (c) -10 (d) u (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 - 9*p + 11. Let q be w(8). Suppose q*r - 3*v - 39 = 99, 2*v = 4. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 2*y - 7. Let k(m) = -m + 1. Calculate g(n) - 3*k(n).\nAnswer: -2*n**2 + 5*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -23, -21, -19, -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 1, -2, -5, -8, -11?\n\"Answer: -3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(35) + (2*sqrt(4235) - sqrt(4235))))\/(2*sqrt(847) + sqrt(847) + sqrt(847)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55576577 and 47637066?\nAnswer: 333459462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7387 + -895. What is the remainder when s is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911741.7 microseconds to minutes.\nAnswer: 0.015195695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46880911 and 616?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 336740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398.12 - -1123404.\nAnswer: 1123005.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -k + 5*y, 3*y = -0*k + 5*k - 3997. Round k to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 293*s**5*t**2 - s - 74*t**2 - 2 wrt s?\nAnswer: 5860*s**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 68*i + 44. Let c be y(22). Is c - -401 - (-3 + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.01 - 3. Let w = 1.37 - q. Let i = w + -1.359913. What is i rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or 64?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(6*sqrt(30)\/sqrt(6)) + -3.\nAnswer: -3 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1616 + 1620. Solve -6 = -3*j - s, 2*j + w*s = -5 + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 264, 516, 768, 1020, 1272?\n\"Answer: 252*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8\/17 (b) -2 (c) -80 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -38\/65, -3 in descending order.\nAnswer: 3\/2, -38\/65, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (0 + 3 + 1*sqrt(1872) + sqrt(1872) + -4 + -4)**2).\nAnswer: -240*sqrt(13) + 7518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 + 13*k**3 - 21*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-188)\/(-12925)*(-25)\/10*(-4 - 1). Which is the nearest to i? (a) -1\/5 (b) -2\/19 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (10 + 5 + -16 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -a + 10, 0 = -2*b + 22*a - 23*a - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2030 (base 6) to base 3\nAnswer: 121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48614444 by -2.\nAnswer: 24307222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -27*s**5\/2 + 369*s**4\/2 + 507*s**3 - 18*s**2 - 468*s - 192 = 0.\nAnswer: -2, -2\/3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, u: 3, s: 3, x: 3, r: 4}. Give prob of sequence ro.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 49*u - 11. What is the units digit of o(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 208.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44618 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 100\/43, -2, -1, 3\/5, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Let l = -1 - p. Let t = 123 - 119. Sort 5, l, t in descending order.\nAnswer: 5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645208.\nAnswer: 2, 80651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 6*v - 4. Let y be w(-7). Suppose 4*d - y*c = 43, 32 = 2*d + c + c. Let o(z) = z**3 - 13*z**2 + 2*z + 13. What is the tens digit of o(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142079956 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -814*n + 837*n. Let k(x) be the second derivative of 3*x - 13\/6*x**3 - 9\/2*x**2 + n. What is the derivative of k(l) wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-32)\/(-360))\/(4\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)**(-45))**(2\/31) assuming j is positive.\nAnswer: j**(-90\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 2, z: 9, k: 4, w: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(((-360)\/4455)\/(14\/(-77))).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 3 + s**3 - 2*s**2 + s**2 + 6*s**2. Let y be h(-4). Let p = -1 - -0.9. What is the closest to p in y, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85470 at most as big as -85472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10*z - 2. Let q(d) = 20*d + 4. Let u = -394 + 399. Calculate u*s(i) + 2*q(i).\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -2 (c) 5 (d) 52 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*p + 37, -2*x - 73 + 91 = 2*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*m + 0 - 22 = 0, 3*u - 5*m - 10 = 0. Suppose -o - 5*l + u = 0, -o + 6 = -2*l + 5*l. Solve o = -3*w + 12 - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -177. Put o, -2\/21, -0.1 in increasing order.\nAnswer: o, -0.1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18345 = 16*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -142?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x + 6. Let m be u(8). Suppose 72 = 2*j - m. Suppose 2*a - 3*a + 25 = q, 3*q - j = 2*a. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3609, -3466, -3219, -2862, -2389, -1794, -1071, -214?\n\"Answer: z**3 + 46*z**2 - 2*z - 3654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 19 - 17 + 2*b - 2*b + b - 2*b**2 - 5*b**3. Is 4 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:35 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9020 + 9192. Solve 166*w - k*w = 42 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w. Let y(s) = -14*s - 28*s + 36*s - 90*s. Give o(y(c)).\nAnswer: 288*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567 + 282 + 89*o + 285.\nAnswer: 89*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -2*n, 12 = -0*y + 3*y. Suppose -4*p - 2612 = -3*k + 509, 2 = -2*p. Suppose 2*j + n = 0, 5*v + 2*j + j - k = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-3))\/(6\/18). Suppose 4*k - i = 5*m, -4*m + 0*k = 2*k - 10. Let u be 4*(3\/(-54) - m). What is the closest to 0.1 in 0.2, -4, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63266d (base 14) in base 16?\nAnswer: -3319d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 4 + 163*q + 454*q - 3229*q.\nAnswer: -2612*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/6)\/((-3)\/((-45)\/(-5))). Let d(f) = 0*f**3 - 4*f**2 + 10*f + 2 + 11*f**2 - f**3 + 0*f**3. Is d(u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4339114 is divided by 1135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1\/2) - -9. Suppose 0 = -h*i + 10*i - 12. Solve l - i + 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -2*y**6\/15 + y**5\/60 + y**4\/12 + y**3\/6 + y**2. Let i be h(-1). What is the units digit of 2\/(-7) + i\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47a + -2?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f + 32. What is m(4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 2*v + 4*g + 10 = 0, 5*g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13350 != -13351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/210 - 233*u**4\/84 - 232*u**3\/21 - 2618*u**2. Factor a(j).\nAnswer: -2*(j + 1)*(j + 232)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -38b54a?\nAnswer: 38b546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2288 and 5616?\nAnswer: 61776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-390)\/18*4)\/(10\/216*-18).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41068 * -91.\nAnswer: 3737188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbzjojzjozzzzzzzbo. What is prob of sequence obb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:00 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12787 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 12. What is the remainder when (-40)\/12*216\/x is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/((-4)\/96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -3 + (85 - 76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1111380741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 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: What are the prime factors of 32194684?\nAnswer: 2, 8048671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1212510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, f: 1, s: 2, x: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150.4 times 0.2\nAnswer: 30.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 - 8 = 0. Let d = -3 + w. Let l be ((-9)\/6)\/(d\/12). Solve -1 = -l*n + n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*l**2 - 75*l**2 + l - 650*l**2 + 0*l.\nAnswer: -1266*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:09 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {x: 1, o: 2, r: 2, j: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68164003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*x + 21, 3*k + 140 = -x + 132 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 273240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (2 - -4*(-4)\/16). Suppose j = -8*q + 356 + 580. What is the highest common divisor of 78 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 2, -2, -3, -161\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2052837285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19405 (b) 500 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3131 - -2777196\/887. Let h = -9765\/7096 - b. Find the common denominator of 14\/9 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -13. What is the second derivative of z*c + 13*c**5 + 10*c - 34*c wrt c?\nAnswer: 260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 16*s - 55 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-10)*(-18)\/(-84)*-4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f**4 - 138 with respect to f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 - -235.2. Let i = q + -15.6. Let n = -6 + 6.3. What is the closest to -4 in 1, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.3 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2938, 5272, 7006, 8134, 8650, 8548, 7822, 6466?\n\"Answer: -h**3 - 294*h**2 + 3223*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 4 = -3*w. Suppose -6*i - 2 = -w. Solve 2*c = -i + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) -2 (c) -4 (d) 3 (e) 4 (f) 0.12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let j be ((13 - 3) + 1)*w. Let i = 21 - j. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 62 = 71 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -92280 divided by 24\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*6\/4. Let k = 26 - 22. Solve o = -c + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 2. Let j be (-35)\/14*6\/(-5). Suppose 0 = q - j*q + 26. Let b(y) = -2*y - 1. Give q*b(k) + 6*c(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 194 + 386 + 18*p - 4*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -64*h + 4. Let i be p(-5). Let z be 330\/(-4) - (-1179)\/786. Let q = i + z. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359305*j**2 + 44 - 359296*j**2 + 718599*j**2.\nAnswer: -2*j**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -2*w - 4*z + 381, 4*w - 5*z - 1276 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 1)*(4 + 3 - 2)*(-3*c**3 - 11*c**3 - 14*c**3).\nAnswer: -280*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.1 plus 2?\nAnswer: 366.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) -0.3 (b) 2\/5 (c) -0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20089 - 0?\nAnswer: 20089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 + -167. Which is the third biggest value? (a) -0.2 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 922\/(-56) - (-28)\/(-98). Let k = -559\/20 - z. Find the common denominator of -55\/9 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwm when three letters picked without replacement from wmmmmmmw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(14 - 20\/(-4)). Let s be -2*2 + (1425\/18)\/g. Which is the third biggest value? (a) s (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 7*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 21111101202?\nAnswer: -21111102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*j**3 + 2*j + 8*j**4 + 8*j**4 - 50*j**3 + 27*j**3 to q*j**4 + i*j**2 + m + p*j**3 + w*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 5*g + 3*g)*(50 + 7 + 24)*(-g + 2 + 6*g - 4*g).\nAnswer: -243*g**2 - 486*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, q: 1, b: 2, z: 1}. Give prob of picking 1 l, 1 q, 1 z, and 1 b.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 3*y - 4, -35584*b + 35579*b + 4*y + 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p - 13. Let k(f) = 48*f + 38. What is -5*k(r) - 14*n(r)?\nAnswer: -2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(4*5\/20). Let t be (31\/m - 1)\/(60\/20). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 32*b - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 23*x + 188. List the prime factors of j(-18).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 29*m**2 + 38*m + 9. Determine r(27).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - -4.27. Let t = v - 0.47013. Round t to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83346.45ml?\nAnswer: 83.34645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 10*r**2\/7 - 2*r - 48\/7 = 0?\nAnswer: -8\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -40115 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39933*x**3*y - 36*x**3 + 3*x**2 - 130*x*y - 225429 with respect to y.\nAnswer: -39933*x**3 - 130*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259.911607 - -0.124393. Let m = q - 260. Round m to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*((q\/((q\/q**9)\/q))\/q)\/q)**(2\/27)\/(q**8\/q*q**(-5)*(q\/(q**(1\/2)\/q))**19) assuming q is positive.\nAnswer: q**(-14527\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 21*i - 1 + 3.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132154 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (172\/24 + -6)*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*j + 171 = -138*j. Let g = 264 + j. Is 66 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 1953*p - 3908 = 0.\nAnswer: -2, 3908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4493\/4 + 1105. Let w be (-9)\/6*(-1184)\/(-408). Let i = 923\/34 - w. What is the common denominator of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177389145 - 3\nAnswer: -177389148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/9 + -3)*3. Let q(c) = -20*c - c**3 + v + 6*c - 17 - 12*c**2. Let a be q(-11). Calculate the greatest common factor of a and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 18, 0, -13, 3 in increasing order.\nAnswer: -13, -11, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 109?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 812 + -420. Suppose -a = -4*b - 156. Suppose -15*y = -16 - b. Calculate the remainder when 48 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.19 + 12.18935. Round b to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/84 and 133\/780?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.4 - -80.6. Let x = k + -99. Let j = -202\/5 - -40. Which is the closest to -0.1? (a) -1\/2 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/76 and 35\/720043.\nAnswer: 2880172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukc when three letters picked without replacement from xxkxcxxmcmuxmkcccc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from aucsz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1284 and 5250169?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from teoeo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70272 and 1338?\nAnswer: 15670656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z - 44*z - 19*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9686104.\nAnswer: 2, 71, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6862 and 329866633?\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/3 + 34*x**2 - 100*x\/3 = 0.\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 434 = 10*h. Suppose h = 10*w - 103. Solve 4*a - w = -5*z, -2*z = -2*a - 6 + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/24 - 12*z**2. Find k such that h(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v = 29*v - 8. Suppose -5*q + 71 = v*n, 60 = 4*n - q + 7. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -84*p**2 + 23*p - 71. Let j be n(7). What is the remainder when 35 is divided by (-12)\/(-14) - j\/154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470480 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -61.7. Sort -3\/7, u, -0.1, -1 in descending order.\nAnswer: u, -0.1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 12 + (-38 - -39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.16. Let y = 11 - 5. Let v = -3 + y. What is the second smallest value in o, 0, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10123972 and 12.\nAnswer: 30371916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4617 + 4885. What is the remainder when p is divided by 57?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.492 - 0.508. What is the nearest to a in -8, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*y**6 + 2740*y**2?\nAnswer: -38640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 0. Suppose r = 4*k - 79 + 15. What is the common denominator of k and ((-5)\/18)\/(2\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-25) + (-30)\/(-25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**32*(a**34\/a)\/a*a*(a\/(a\/a**22))\/a**34 assuming a is positive.\nAnswer: a**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 2*y = 11*b + 50, -4*b + 2*y = -1 - 39 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 35. Let r(w) = 2. Calculate -j(l) - 5*r(l).\nAnswer: -l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735437 is divided by 14397.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 14168217?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*(sqrt(117) + sqrt(117) + (sqrt(117)*-1*-1 - sqrt(117) - sqrt(117) - sqrt(117))))\/(-5*(sqrt(144) + (-1*sqrt(144) - sqrt(144)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)*4\/(-24)*3. Suppose 2*j - 4*g + 2*g - 4574 = p, 2*g - 4574 = -2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -79. Calculate the common denominator of -76\/3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2. Let p(b) = -4*b + 425. Determine z(p(x)).\nAnswer: -96*x**2 + 20400*x - 1083750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 148560 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/(-1))\/(-45*(-208)\/(-126360)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (-4 + sqrt(68)*2)**2 - ((-5*sqrt(68))**2 + -2).\nAnswer: -1986 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -168, -148, -130, -120?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + w = -0*a + 5, -3*w + 15 = 0. Find the common denominator of 176\/28 + a\/1 and (2\/(-18))\/(5 - 412\/82).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (20 - 12)) + 1 + -24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 + -49 - -28 - 50?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23253 (base 9) in base 14?\nAnswer: -5927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*a*r**2 + a*r - 27*a wrt r.\nAnswer: 606*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-7*n + 8*n - 8*n) + 1 + n - 1 + 3*n - 2*n - 3*n + (-5 + 1 + 3)*(3*n + 2*n - 3*n) to j*n + k and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513117, 513039, 512961?\nAnswer: 512883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7629, 15407, 23185, 30963, 38741, 46519?\nAnswer: 54297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v + 5. Let m be k(0). Suppose 5*r + 4 = 4*f - 10, -m*f + 26 = -2*r. Let o(p) = p**3 - 5*p**2 - 7*p. Give o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/20 - 19\/(-4). List the prime factors of (-348)\/(-30) - z\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 + -380. Is ((-11254)\/(-4))\/((-46)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -34*q + 37*q + 22479, 0 = -2*p + q + 8992. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4828 + 9444. Let l = r - 37009\/8. Find the common denominator of -143\/60 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sco when three letters picked without replacement from {s: 1, o: 3, c: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {h: 2, y: 2, g: 1, x: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 26152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 48 = -m + 108 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:11 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4445.\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q - q**3 + 0*q**2 + 42*q + 4 - q**2 - 19*q. Let z be a(0). Solve -9*i - z = 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 + 2*b - 16. Let k be q(9). What is the third derivative of -68*z**4 + 0*z - 100*z**k + 106*z**2 - z wrt z?\nAnswer: -1632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -1. Suppose 0*d - 44 = -2*d. Calculate the remainder when d is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633968751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 58. Let k be c(12). Let y = k - -102. Suppose y*p = 6*p - 2*t + 22516, -4 = 2*t. What is p rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -32.88. Let p = l + 3.12. Let y = 0.5 + -0.2. Which is the third biggest value? (a) 0 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = v, -p - 4*p - 10 = 0. Suppose -3*t + v*f = f + 1877, 0 = -4*t - 2*f - 2506. Let y = t + 1597. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1092\/(-91))\/((-4)\/2). Differentiate -f*r**3 - 5*r - 5*r - 268 + 34*r**2 + 7*r - 34*r**2 wrt r.\nAnswer: -18*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -594*y**2 + 165*y + 110. Let g(b) = -22*b**2 + 6*b + 4. Let u(w) = -2*f(w) + 55*g(w). Let d(z) = -13*z. Give d(u(l)).\nAnswer: 286*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 + 5*q - 4. Let k be x(3). What is the third derivative of -3*l**k + 3*l**2 - 9*l**2 - 3*l**3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-5)*1*61\/(-2). Suppose 43 - l = -x. Calculate the remainder when x is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2690 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110532385.\nAnswer: 5, 17, 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225330?\nAnswer: 2, 3, 5, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4851)\/154 + 33)*(-46)\/(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**3 + 10*q**2 - 3*q - 12. Let i(d) = -20*d**3 + 19*d**2 - 6*d - 23. Let r(h) = -11*c(h) + 6*i(h). Let a = -10 - -6. Give r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6951979 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*s + 31 + 26 = -0*s + 20*n - 67, 13 + 7 = 5*n for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 11*g - 102. Let s be t(-17). Suppose p + 4*r - 154 = s, 3*p + 2*r + 199 - 701 = 0. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 17. Let c = 213 - 208. Suppose j*i = 6*p - 2*p - 8, -c*i - p + 13 = 0. Solve 4*g = -2 - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 29*c + 6. Suppose 145 = -4*v + 5*s + 10, -75 = 2*v - 5*s. What is the remainder when 142 is divided by l(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100010010?\nAnswer: 100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n - n)*(71*n**3 + 74*n**3 + 47*n - 147*n**3) as f*n**4 + q*n + j + m*n**2 + k*n**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*a + 20, -2 = 5*a - 3*a. Let z be ((-44)\/p + 0)*-3. Let b = -22 + z. Solve g + 1 + 0 = b, 2*y = -4*g - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2*i**2 + 8*i**3 + 3*i**2 + (-2*i - 2*i + 3*i)*(0*i - 3*i**2 + 0*i) + 197 - 33*i**3 - 197.\nAnswer: -22*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus -5483078199?\nAnswer: -5483078197.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24560911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000007849828 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcq when three letters picked without replacement from qzhqqqcqgqgqqecqcqgq.\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -160899 from 0.7.\nAnswer: 160899.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/24)\/(75\/70)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(3*4\/(-6)). Solve -4*w + 8 = 5*i, w = -l*i + 2*i + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 938398032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45584)\/3234*(-105)\/20.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 19 - 9, -3*a = 2*q - 285. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 68*l. Let u(f) = 55*f + 1490. Determine u(t(n)).\nAnswer: 3740*n + 1490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 64\/6 + 2 - 612\/918.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:03 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.0092\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 8. What is the common denominator of ((-6)\/27 - (-22)\/180)*-97 and (-10)\/(-33)*90\/d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 - z + 7. Let d(m) = 3*m**3 - 3*m**2 + 4*m - 8. Let i(f) = 2*f**3 - 4*f**2 + 5*f - 7. Let v(p) = -4*d(p) + 3*i(p). Calculate -5*v(t) + 8*y(t).\nAnswer: -2*t**3 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 + 12 = 0. Suppose 2448 = 9*a + 39*a. Suppose -a*j = -33*j - 36. What is the lowest common multiple of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((459\/(-1428))\/(18\/(-4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-12\/11)*u)\/(u\/(u\/(u*u**(4\/17)*u))*u*u))\/(u*(u**(-2\/167)*u)\/u*u**(14\/5)) assuming u is positive.\nAnswer: u**(-1266996\/156145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:23 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 36. Let m be u(6). Let h(q) = 2*q. Let o be h(-2). Is ((-57)\/m*17)\/((-2)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 21147232 = -14*m + 73*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b - 3*p, 0 = p + 3*p - 16. Which is bigger: -2\/43 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from {k: 4, r: 1, f: 3, y: 1, d: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 44 (b) -0.02 (c) 5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -386*z - 3086. Give k(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 752*y + 132122. Determine f(280).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3704 + -3707. Sort m, 99, -2, -4.\nAnswer: -4, m, -2, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 5474.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39536, 157935, 355188, 631295, 986256, 1420071, 1932740?\n\"Answer: 39427*n**2 + 118*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20101201321 - 0?\nAnswer: -20101201321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 - 48. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*h**3*i**2 - 450745*h**3 + h**2 - h*i**2 - 2351*h*i - 189*h - i wrt h.\nAnswer: -426*h*i**2 - 2704470*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15931.78164 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmppppmmpp. Give prob of sequence pm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.18 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r + r - 4*r)*(2 - 1 - 2) - 2*r + 0*r + 4*r + 81 - 7*r - 81)*(2*r + 0*r - r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -24. What is the tens digit of ((6\/(-3))\/s)\/(1\/1591)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 4. Let a(m) = -1. Let w(v) = -4*a(v) + x(v). Let r(g) = -21*g. What is w(r(k))?\nAnswer: -882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Let z be (-2)\/(-3) + -6*(-4)\/(-9). What is the smallest common multiple of d and (z\/1)\/((-17)\/(1122\/12))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 206\/14. Suppose 7*i = 2*i + h. Suppose -4*r + r - 2*y = -4, i*y + 13 = 5*r. Solve 2*c + r*c - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 169607 - 198676 = -80405. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13327150 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4448 = 2*k, -5*k - 2*o = 2*o - 11113. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - a. Suppose 126 = -15*f + 156. Suppose 10 = 4*q + q + z, -8 = f*q - 2*z. Give v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 16*y = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -94*v + 899. Let j(x) = -2*x - 3. What is j(i(r))?\nAnswer: 188*r - 1801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 99. What is the greatest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 38 - (-4 - -2)\/(1 + 15\/(-9)). Solve -253*j = -258*j + q for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -506555?\nAnswer: -506550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028973 to 5 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -17.5. Let l = h + 17. Sort 0, l, 5 in ascending order.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*(-4 - 2). Let t = 19 - j. Calculate the least common multiple of t and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -5*w**3\/3 + 4*w. Let f be z(-7). What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18502977?\nAnswer: 3, 6167659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31 = 4*l, -3*l = l. Let n = 136 - f. Suppose -v - 2*i + 32 = 0, -5*i + 109 = 5*v - 61. What is the remainder when n is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let c(b) = -3*b - 3. Let q(a) = -9*a - 6. Let r(g) = 3*g + 2. Let k(j) = -4*q(j) - 11*r(j). Let v(f) = -2*c(f) - 3*k(f). Determine v(w(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19172.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -5. Let i be (5\/(-27))\/(w\/(-5514)). Let c = i - -507. Find the common denominator of 91\/4 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002343069 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 71 - 1033*n**2 + 95 + 68001*n**2.\nAnswer: 66968*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11436, -11518, -11602, -11688, -11776?\nAnswer: -11866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 5. Let i = 0 - b. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200 - -206. Suppose -x*n = -683 + 677. Put -60, -5, n in decreasing order.\nAnswer: n, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.1431 - 0.8569. What is the fourth biggest value in -1\/4, s, 1\/9, 2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -325, -518, -435, 62, 1111?\n\"Answer: 23*i**3 - 354*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1\/2 (c) -12533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16600*a. Let b(h) = h. What is b(r(k))?\nAnswer: -16600*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0705 * 27770\nAnswer: -1957.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -602 + 560.1. Let u = -46 - t. Round u to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 62*c**2 - 71*c + 66.\nAnswer: -(c + 2)*(c + 11)*(5*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7064 + -7048. Solve i*n = 1 + 47 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + -15 - -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-60)*-3*(-576)\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(100\/8))\/((-4)\/120). Suppose 0 = k - 3*k. Sort k, 4, c, -3 in increasing order.\nAnswer: c, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**3 - 4*l**3 - 3*l**3)*(2 - 2 - 2) + 40*l**2 - 19*l**2 - 15*l**2 + l**3 to the form r + m*l**3 + a*l**2 + b*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2503, 6, 4, -3, -2, -1 in decreasing order.\nAnswer: 6, 4, -1, -2, -3, -4, -2503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2815651 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*m = 8, -2027*m + 2031*m - 5 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253746022 to the nearest integer?\nAnswer: 35408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-10830))\/((-14)\/(-420)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998700661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 483 - 393 = j, -3*j = -4*a - 302. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7890 and 224690?\nAnswer: 177280410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 26*b**2 + 36*b - 68. Give z(25).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 382972 and 222172?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5027070 take away -703?\nAnswer: -5026367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.535 and 0.12.\nAnswer: 0.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 7, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.295 rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-4) + 6\/(-24). Suppose 3*k - 5*u - b = 3, -4*k = -4*u - 8. Solve 0 = -k*a + 4 - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/4)\/(-2 + 5). Put 3, h, 435 in descending order.\nAnswer: 435, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/12)\/(2\/(-8)). Suppose 5*d = 4*p - 3*p, 3*d = 5*p. Solve 5*o + 13 + i = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17000000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*p**3 + 19457*p**2 - 3 - 127*p**3 + 3 - 19457*p**2.\nAnswer: -189*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 25*s**2 + 23*s + 14. Let q be z(24). What is the third biggest value in q, 2\/7, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 5, 4, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3 + 225 = 0. Sort 3, -4, s in descending order.\nAnswer: s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from sswsaswsxz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 84*m**3 + 1. Determine q(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + (-6)\/88?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2401 - -2403. Let n(z) = 3*z**2 + 2*z - 2. Let x(k) = -k**2 - k - 1. Give b*x(t) + n(t).\nAnswer: t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.2 (c) -3\/2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1889? (a) -5\/9 (b) -1\/6 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1103, -1095, -1087?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 6\/9)*-15. Calculate the greatest common factor of k and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 3, h: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75111222223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5.6 (b) -0.2 (c) -24.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 40*t**2 - 593*t + 66. Let j(w) = 14*w**2 - 198*w + 23. What is 17*j(z) - 6*n(z)?\nAnswer: -2*z**2 + 192*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 642*y**2 - 1128*y**2 - 80 + 80 - 6*y**2 + 3*y**2 - 5*y**2 + (-2*y**2 + 0*y**2 + y**2)*(3 - 4 + 3).\nAnswer: -496*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167798361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162720883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7356 is divided by 803?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 12*h**3 + 1\/2*h**5 - 16*h**2 - 4*h**4 + 8*h + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 17*p**2 + 21*p - 54. Calculate q(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -h - 10. Let d(k) = -3*k + 4. Let w(s) = -s + 1. Calculate h*d(b) - 5*w(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 718, 721, 726, 733, 742, 753, 766?\n\"Answer: j**2 + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5678 - -5095?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10135 - -10180. Calculate the remainder when 14037 is divided by x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 87*m + 1184. What is the lowest common multiple of w(-73) and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 102*i - 20. What is m(21)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 259, 258, 257?\n\"Answer: -b + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 11*u - 27. Let k = 174 - 124. Let w be 64\/5 - 5\/k*-2. Let f be l(w). Let v(y) = -1. Let p(i) = -i. What is f*v(a) - p(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1, -3, 572 in decreasing order.\nAnswer: 572, 19, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*y + 943, 5*y - 4*v - 2513 = -166. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13744 divided by -1?\nAnswer: 13744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-15) - (-212)\/20. Suppose 2*u = w - t, 2*w = 2*u - 4*u + 38. Solve -4*j = -36 + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5257 - 5258. Which is the nearest to y? (a) 0.2 (b) -0.1 (c) 1 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24 = -8*i. Solve 4*c = -n - 20 + i, 5*n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1241383204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4 + 2619624*i**3 - 8*i**2 - 32042735 wrt i?\nAnswer: 4*i**3 + 7858872*i**2 - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*m + 281 = 0, -55 = -q + m - 6. Let i = 79 - q. Let s(n) = -n + 5. Let x be s(4). Solve i - x = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642953888 to the power of 1\/2, to the nearest integer?\nAnswer: 25357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*b**3 - b**2 - 3*b + 11.\nAnswer: -138*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -682270 - -685957.064. Let g = b + -3674. Let x = 13 - g. What is x rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 584 or -328718\/7?\nAnswer: -328718\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2136574*t**6 - 2*t**3 + 2552*t**2 + 62*t wrt t.\nAnswer: -256388880*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, e: 7}. Give prob of sequence eeee.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5977*d**2*q**3 - 15*d**2*q**2 + 2*d**2*q + 2*d**2 + 2*d*q**3 + 1165*d*q**2 - 14*q**3 wrt q?\nAnswer: 35862*d**2 + 12*d - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*b = 14, -4937*c = -4933*c + b - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let i = -1 - m. What is the remainder when 9 is divided by 5\/i*(-6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2230 - 2229. Are 3\/3137 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + b = -27, 7 = 2*f - 2*b - 7. Suppose -f*v + 91 = -44. Let g = -16 + v. What is the greatest common factor of 121 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -265704.\nAnswer: -106281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*a + 4*i, -3*a + i + 22 = -3*i. Suppose 14 = z - a. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/119 and 8\/51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 336113653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91524222 divided by -15254037.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6456*t + 60985 - 222385 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*k + 0*k = 12, b = 4*k + 4. Suppose -216*c = -27*c - 7197 - 3198. Calculate the least common multiple of b and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:01 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1139*u + 677716. Give c(-595).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -713678 + 1198678. Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 2219*c + 20089. Give g(-563).\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.097142 + -0.076.\nAnswer: 0.021142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/77)\/(270\/(-66330)*-67).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 335, 326, 303, 260, 191, 90, -49, -232?\n\"Answer: -f**3 - f**2 + f + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**7\/42 - 7*u**6\/30 - 11*u**5\/20 + 19*u**4\/12 + 10*u**3 + 18*u**2 - 36*u + 22. Suppose b(x) = 0. What is x?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -54*v**2 + 4175*v - 3. Let p(g) = -39*g**2. Determine m(p(r)).\nAnswer: -82134*r**4 - 162825*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)\/k)\/k*k*k**(2\/3))**(-27)\/((k\/((k*(k*k**(-1))\/k)\/k))**3\/((k*(k\/(k\/(k**(2\/9)\/k)))\/k)\/(k\/((k*k*(k**(2\/5)\/k*k)\/k)\/k*k)))) assuming k is positive.\nAnswer: k**(9838\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 54, 125, 224, 351?\n\"Answer: 14*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -29*c**4\/6 + 79*c**3\/3 - 118*c + 155. Let f(s) be the first derivative of i(s). What is the second derivative of f(w) wrt w?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5008, -10029, -15050?\nAnswer: -20071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8)\/((-9)\/12). Let s = -0.9 - -1. Let q = 304 - 302. Which is the nearest to s? (a) p (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 + i**5 + 2*i**5 + 0*i**5 - i**5 + (-2*i + 4*i**2 + 2*i)*(-10*i + 3*i**3 + 10*i) - 3*i**5 + i - i.\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1635 - 1632. Solve -14 = n - 3*m, u*m - 1 = 5*n + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4654038 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(13\/5)*t**(-13)\/t)\/(((t\/(t**2\/t))\/t)\/t**20) assuming t is positive.\nAnswer: t**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence httx when four letters picked without replacement from {x: 2, m: 1, s: 6, t: 2, h: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 711 = -2755. Let z = m + 186. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 537 + 1 + -5 + 0\/(-1). Suppose -4*a = 113 - f. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/10)\/(8\/(-20)) - (-7710)\/1.\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 3*a = 8*q - 9801012, 0 = 3*q - a + 5880596. Round q to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17457 + -11817. Is h a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0 + 0*b + 0*b**4 - 7\/30*b**5 + 0*b**3 - 3*b**2. Let j(w) = -2*w**2. Determine j(f(o)).\nAnswer: -392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 13*v**3\/6 + 5*v**2 + 28*v - 3. Let z(p) be the first derivative of g(p). Differentiate z(m) wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 885 in 0.3, -150, -0.15, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -364 (b) 8 (c) -47229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170239.\nAnswer: 170239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-27)*d*d**(-5\/7))\/((d\/(d**(-1\/28)*d*d*d))\/(d**(-18)*d)) assuming d is positive.\nAnswer: d**(-167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -524\/9 + 2188\/45. Find the common denominator of a and (-18)\/30 + 284\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94011447*a**3*z - 2*a**3 + a**2*z - a*z - 4*a - 85*z - 84741 wrt a.\nAnswer: -564068682*a*z - 12*a + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3. Let p = -0.238 - -0.038. Sort f, p, 2\/3.\nAnswer: p, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -21\/8 in decreasing order.\nAnswer: 13, -2, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 24 = 5*j. Suppose -j*n + 5*p - 15 = 0, -5*p = n - 5 - 10. Solve n = -2*r - r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29858297923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6654 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d - 1. Let t(u) = -35*u + 6. Let k(s) = 6*q(s) + t(s). Let h(o) = -20*o. Let g(i) = 6*h(i) - 11*k(i). Let m(a) = 286*a**2. Determine m(g(v)).\nAnswer: 286*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 9*u - 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 9*q - 7. Let d be j(-5). Calculate the greatest common divisor of d and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -692.84 minus 5?\nAnswer: -697.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 37769 and 37773 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15798889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d - 1. Let x(o) = -o**3 + 2*o**2 + 2*o + 18. Let q(s) = -4*p(s) - 2*x(s). Differentiate q(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1123 + 1198. Calculate the remainder when 234 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -111211110220102112?\nAnswer: -111211110220102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1709 + 1705. Which is the nearest to -0.1? (a) s (b) -4\/5 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7372447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 40*c - 42*c + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38148, -75999, -113850, -151701, -189552?\nAnswer: -227403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -9204, -4, 31 in decreasing order.\nAnswer: 31, -4, -56, -9204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 5*(1*sqrt(132) - sqrt(132)))\/(5*sqrt(12)*-4))**2*1*-5.\nAnswer: -11\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 11*f + 45. Let b be w(-14). Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/6 + (-272)\/(-102). Suppose 3*w - 24 = -0*w. Solve 3*m - c*l - 27 = -3*l, 4*m - w = -3*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:00 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 2*x**2 + 7*x - 23. Let p be d(3). Are p and -118 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 832, 1279, 1746, 2233?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:22 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-9\/7)*u*u)*u)\/u*(u\/(u\/u**(-7\/3)))\/u assuming u is positive.\nAnswer: u**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = k - 3*x, 4*k = 5*x - 52. Let b = k - -20. Solve 0 = -3*s - r + 5, 0*s + s = -b*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(65*u - 37*u + 6 - 36*u) to the form o*u + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-180)\/315)\/((-2)\/(-7)))\/((-110)\/(-45))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 6*z - 4. Let b(n) = 8*n**2 + n. Let o be b(-1). Let j be l(o). Solve 0*s - 2*s = -j*y + 10, -2*y + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**2 - 2497*l - 16*l**2 - 2 + 2 - 1500*l + 3997*l.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/1291817 or 0?\nAnswer: 38\/1291817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -66*x + 1307. Is m(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from aaof.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e8 (base 16) to base 12.\nAnswer: a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -758*h + 749*h - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4)\/(24\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 48*i + 615. Is c(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**3 - 78615*b**2 + 18922785*b - 1130118605 = 0.\nAnswer: -15961, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 2. Let n(a) = -a**2 + 13*a - 27. Let t be n(10). Let b be q(t). What are the prime factors of b + 196\/35 + 802\/5?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - (-234984)\/14) + (-3)\/(-7)?\nAnswer: 13, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(90) - (sqrt(90) - sqrt(90)*-2)) + sqrt(90) + sqrt(90) - sqrt(90) - sqrt(90)))\/sqrt(2)*1)\/(-1*(1*sqrt(81) - sqrt(18)\/sqrt(2)*5)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iabaaiia. Give prob of sequence ib.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/400 + 12\/(-15).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -23\/4568569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 10 (c) -4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovz when three letters picked without replacement from {x: 2, w: 1, z: 8, o: 1, v: 8}.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3 - 1555903*b + 15159638 wrt b.\nAnswer: 12*b**2 - 1555903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 28*x - 162. Let l be w(5). Let y(t) be the first derivative of 1\/2*t**4 + t - t**2 - l + 1\/4*t**5 - 3\/4*t**3. Suppose y(a) = 0. What is a?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (152634\/8)\/((-156)\/(-208)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 13*f + 28. Is 5697\/5 - f\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 12*m - 5*m - 5*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -3, 5, 1, -4 in ascending order.\nAnswer: -98, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 13*v + 24*v - 210 - 27*v + 113.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**8*r**1)\/(r**(-2\/21)*r**(-1\/2)\/r) assuming r is positive.\nAnswer: r**(487\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:03 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 271*v + 4003. What is c(-15)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {f: 3, s: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5*n + 2. Let t = 2 + -5. Let k be j(t). Suppose -k = -2*l - 4. Solve 2*p = l, -2*h - p + 2 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*l**6 - 6*l**3 - 108*l**2 wrt l?\nAnswer: -1800*l**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015625 to 4 dps.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-26)\/10 - 1)*(-11 - -1). Find the common denominator of 3 + i\/(-16) - (-225)\/84 and -1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 58\/3, 20, 647, -1\/3?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*b**2 - 41\/2*b + 42 = 0. What is b?\nAnswer: -84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l**2 - 11*l + 2. Let b(i) = -6*i**2 - 6*i + 1. Give 4*a(d) - 7*b(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -7*f**4\/6 - 5*f. Let v(k) = -k**2. Determine w(v(x)).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 36741*k**2 - 110214*k.\nAnswer: -k*(k - 36738)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 10) to base 14.\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (4 - -1 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*h**2*s + 11*b**2*h*s**2 - 131*h**2*s**2 + 2*h**2*s wrt b?\nAnswer: -4*b*h**2*s + 22*b*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/3))\/((n*n\/(n\/(n*n\/((n**(-2\/7)*n)\/n))))\/n)*(n**(-2\/7))**(40\/3) assuming n is positive.\nAnswer: n**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22971.69 tonnes in grams?\nAnswer: 22971690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {b: 1, k: 4, r: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-36)*-53*(-32)\/(-4240).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + 8*b + 6. Suppose 0 = 5*z - 8 + 33. What is o(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 17. Let w be x(-7). What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.376, 7, 6.4387?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 3}. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.06. Let l = s + -0.52. Let t = -4 + 1. What is the nearest to -0.3 in l, t, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 19 - 43)*(2*b**4 + b**4 - b**4).\nAnswer: 116*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27257564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 - (-4)\/(-16). Let i = -5 - -5.4. What is the smallest value in i, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1822 + -0.0822. Sort 20, 4\/21, u in descending order.\nAnswer: 20, 4\/21, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104595 is divided by 122731?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-5)\/((330\/(-36))\/11). Let t be 9\/2*(-2)\/(-3). Put t, 2, b in descending order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2. Let c(m) = -26*m**2. Determine c(q(z)).\nAnswer: -1274*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.05.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:37 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187.8 - 201. Let i = -12.2 - h. Which is the closest to i? (a) -0.3 (b) 2\/15 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/11))**(8\/9)*z**(22\/5)*z**(1\/28)*z assuming z is positive.\nAnswer: z**(26233\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77146 is divided by 25705.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let d = l + 0. Let y = 0.04 + 0.96. Is y at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 93 + 354 = 0. Calculate the remainder when b is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 72. Is 24 a factor of (20\/(-6))\/((-2)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-12)\/(-3) - 3). Suppose 5*f + 209 = -2*v, 9*f - 4*f + z*v = -200. Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 17. Let l(z) = z - 9. Let p(d) = -5*l(d) + 3*o(d). Let b be p(6). Is 2\/5 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 0.157\nAnswer: -3.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 3 + 6*g**3 - 8 - 4 as b*g**2 + c*g**3 + z*g + j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19768 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 - 7*d - 3. Let f be a(-5). What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-9)*((-342)\/12)\/19\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -25, 14, 91, 218, 407, 670, 1019?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7622 + -1.7622. Which is the nearest to f? (a) 1\/6 (b) 245 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - p + 31 + 49 = -0*p - 4*i + 96, 8*i - 32 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 23*y**5 - 4*y**2 - 64*y + 4. Let o(h) = 25*h**5 - 5*h**2 - 63*h + 5. Let p(f) = 5*j(f) - 4*o(f). Find the second derivative of p(t) wrt t.\nAnswer: 300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68960, -68035, -67124, -66233, -65368?\nAnswer: -64535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -96312*w. Let r(x) = 103*x. What is t(r(z))?\nAnswer: -9920136*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001068243943 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.15. Let s = 53.3 + -53. Let o = f - s. Put o, 1, 0.1 in descending order.\nAnswer: 1, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 4. Suppose -37*q = -32*q - 10. Let t(k) = -k + 1. Give q*v(j) - 7*t(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12558711 and 200013.\nAnswer: 238615509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/7 + 57552*v**3\/7 - 828691006*v**2\/7 + 18210316080*v\/7 - 100118452225\/7.\nAnswer: -(v - 28765)**2*(v - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbr when three letters picked without replacement from {a: 6, b: 4, r: 1, g: 1, z: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxscxcss. What is prob of picking 2 s, 1 x, and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8393265.46 rounded to the nearest one thousand?\nAnswer: -8393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, d: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6303 - -2?\nAnswer: 6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47984822 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 2, z: 2, c: 3, x: 2, y: 2}. What is prob of sequence xzyx?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1756 - -1712) + (-4 - -126).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 3*j + 1949, 3*j - 3907 = -4*b. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 259.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g**2 - 5*g**2 + 5*g**2 + (2*g - 2*g - g**2)*(-2 + 6 - 5) + 0*g + g**2 + 0*g)*(0 + g + 0).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-590))\/((-5880)\/1400)*-14\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (880\/(-33))\/16*3\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -31.1. Let p = 6 - u. Let i = p + -3.9. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f, -6*s - 2*f = -s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3\/8 - 4091*d**2\/4 + 4186115*d\/2 - 4182025 = 0.\nAnswer: 2, 4090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 54 = -66. Let q(g) = g**3 - 2*g**2 + 1. Let m be q(1). Suppose m = -i*l + 6*l + 7604. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -13443437?\nAnswer: 13443442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1202, 1268, 1386, 1556, 1778, 2052, 2378?\n\"Answer: 26*x**2 - 12*x + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219673093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t + 12*t**2 - 35*t**2 + 21*t**2 + 53*t**2 in the form j + n*t**2 + r*t and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by (-39)\/6*-22 + 69 + -62.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) + ((-48174)\/12)\/(-7). Which is bigger: o or 564?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-13 - -14 - (0 - 5) - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10702084?\nAnswer: 2, 23, 61, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, -5, 3\/160?\nAnswer: 3\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166370*k**3*t**2 + k**2 - 997*k*t**2 + 67*t**2 - t wrt k.\nAnswer: -998220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911?\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42943 or -63\/5?\nAnswer: 42943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u + 0*u)*(4 + 0 + 0)*(-2 + 2 - 2).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4050 and -7\/405.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(432) + (sqrt(432) + 1)*4)**2 + -1.\nAnswer: 960*sqrt(3) + 10863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 235*-0.06\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 + (-24)\/9). Suppose -2*m - p*m = -5*f - 18, 5*f = 5*m - 20. Let k be (1 - 2881)\/(m\/1875). Round k to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 + 2*x**4 + x**4 + (5*x + 1 - 1)*(3*x**3 - 4*x**3 + 3*x**3) - 3*x**4 + 2*x**4 + 3*x**4.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -137\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((2 - -1) + 11 + -11 + 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 537 - 304. What are the prime factors of h?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/264 - 144\/880.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-1)*(-9645)\/(-5) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = -2*w, 5*w - s - 5 = -5*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 188?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8480.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 + 14 = 0. Let i = 25 + r. Let z = i - -5. Calculate the remainder when 59 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*w - w = -263, -2*w - 2 = 0. Let g = b + -40. Suppose 5*d - 6 = -g. Put -8, d, 1 in descending order.\nAnswer: 1, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g)\/g**(-1\/6)*g**(-5)\/(g*(((((g*g\/((g**(-9)*g)\/g*g)*g)\/g)\/g)\/g*g)\/g)\/g*g*g) assuming g is positive.\nAnswer: g**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381664567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1083447\/25 or 43338?\nAnswer: 1083447\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -57*j - 2. Let i(u) = -u. Let z(k) = -d(k) + 2*i(k). Let p be z(1). Calculate the greatest common divisor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -7*u**2 - 7*u - 769. Give m(-10).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10*10\/(-4))\/(180846\/375088).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248402*s**5 + 767020*s**2 wrt s?\nAnswer: -14904120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581197493.\nAnswer: 313, 1856861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + o = 5*n - 6, -5*n + 5*o + 20 = 0. Factor 4*c**n - 6*c - 5*c**2 - 4 - c**2.\nAnswer: -2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 = 4*w, 2*j - 2*w - 17 = -1. Suppose 0*f + 2*f + 1 = g, 5*f - j*g = -5. Let d(z) = 3*z - 2. Give d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (15 - 42 - 7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29430 by 218.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.059952955 * -5\nAnswer: -0.299764775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*k**2*o - 5*j**3*k*o + 2*j**3 - 31*j**2*k**2 + j*k*o + k*o wrt k.\nAnswer: 2*j**3*o - 62*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, and 1 s when three letters picked without replacement from vssvisseeeszs?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200\/11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 6*y + 2. Let p be 0 - 0 - (-2 + 7). Let z be q(p). Let k = 0.1 + -0.1. Which is the second biggest value? (a) k (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*y + 34637 = 7376 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9598 - -9?\nAnswer: -958a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92167*r - 21687?\nAnswer: 92167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 54*s + 539. Calculate m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 3, f: 3, q: 13, x: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 11956*z**2 - 131888*z - 336000.\nAnswer: 4*(z - 3000)*(z + 4)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 4*v, -2*t + 3 + 3 = 0. Solve 3*n = -2*b - 20, -v*n - b - 3*b - 32 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 123. Let g be (-4)\/(-2) - (1 + 2\/w). Solve -4*t + 9*t - 3*y + 17 = g, 2*t = 2*y - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 24. Suppose 5*j = -5*q + 55, 4*q - h*q = -5*j + 31. Calculate the remainder when 5\/(4*2\/q) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21863, 21887, 21911?\n\"Answer: 24*j + 21839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01416 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a. Let i(n) = -n + 5. Calculate the smallest common multiple of 6 and i(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.26 - 0.26. Sort -1\/7, 22, 2\/9, c in ascending order.\nAnswer: -1\/7, 2\/9, c, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43243, 43241, 43239?\n\"Answer: -2*c + 43245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*u + 510*u + 779*u + 70620 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 74*k**2 + 19*k. What is s(1)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 68*n. Let w(m) = -m**2. Determine w(q(h)).\nAnswer: -4624*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1*(-19)\/(-95))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 153. Let o(i) = i + 10. Let j be o(-6). Sort -1, j, z in descending order.\nAnswer: j, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 10 = -m. Let r be (1\/3)\/(1\/12). Suppose r*w + 5*b - 8 = 0, w - 5 = -b - 3. Calculate the least common multiple of w and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24264502 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xhshy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -8. Let z be (-3 + d)*(51 - 0). Suppose 0 = -5*g + 121 - z. Is g at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = u - 20, 0 = -45*i + 46*i - 4*u - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:38 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16128, 32296, 48462, 64626, 80788, 96948?\nAnswer: 113106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*5*(-4)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5601*n + 1360*n - 3 + 3.\nAnswer: -4241*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843656 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 4. Let d(i) = i**2 + 1. Let k be (-19 + 1)*2\/4. Let u = k + 5. Let f(g) = g**2 + 8*g + 13. Let o be f(-6). Determine o*a(c) + u*d(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42331 divided by 22444.\nAnswer: 42331\/22444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -61*o**8\/28 - 49*o**4\/4 + 2*o + 117. Find the third derivative of p(v) wrt v.\nAnswer: -14640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Suppose -l*o - 757 = -3*x, 6*x - x - 3*o = 1261. Suppose 0 = -5*g - v - v + 409, 3*g + 4*v - x = 0. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -3*o**5\/80 + 3*o**4\/4 + 8*o**3 - 1350*o. Suppose y(p) = 0. Calculate p.\nAnswer: -4, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z*(z\/(z\/(z*z*z\/z**0*z)))\/z*z)\/(z**2)**22*((z*z**(-8))\/(z*z\/(z\/(z*z\/z**(-3\/5)*z*z))))\/(z**(-2\/3)*z**(-3)\/z) assuming z is positive.\nAnswer: z**(-2861\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-19))\/v))**28*v**(-22)\/v**(10\/11) assuming v is positive.\nAnswer: v**(5908\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14392135 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/6430367 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 78\/11 (b) -119\/5 (c) 5 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24))\/(100\/80)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -212001?\nAnswer: 210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-175) - (-2 - (-228)\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((140 - 19) + -15 + -11)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -7, -79\/2 in ascending order.\nAnswer: -79\/2, -7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, e: 1}. What is prob of sequence ehh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, k: 1, m: 2, a: 1, i: 1}. Give prob of sequence am.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfu when three letters picked without replacement from {f: 1, u: 2, j: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49294284 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 55926.83?\nAnswer: 279634.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1707062 and 56?\nAnswer: 6828248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 - 217*f**4 + 2172*f**3 + 27632*f**2 + 77920*f + 66000 = 0. What is f?\nAnswer: -50, -22\/5, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -17. Suppose -6*k + k + q + 56 = 0, -k - 4*q = -y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1358)\/6)\/((-5)\/135). Let a be d\/72 - 1\/(-8). Are a and 85 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.2 (b) -40741 (c) 8\/501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 785423 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*x**4 - 171485*x**3 + 68590*x**2.\nAnswer: 5*x**2*(x - 6859)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/4))\/n)**28\/(n**(1\/3))**29 assuming n is positive.\nAnswer: n**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 492*l**2 + 14088*l - 26240.\nAnswer: 4*(l - 80)*(l - 41)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 30 - 5. Suppose 0 = -5*f - t + 30, 0 = -4*f - 3*t + 2*t + 25. Calculate the highest common divisor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 276.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/25 - 3372\/(-30). Calculate the remainder when (g\/(-4))\/(-4) + -5 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 6 - (14 + 17 + -38).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*m*q - 8*m - 3*q - 1 wrt q?\nAnswer: -32*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430320683?\nAnswer: 3, 11, 5179, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**2 + d**2 + 2*d**6 + 0*d**2 wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/3 and 5\/53402.\nAnswer: 160206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 343 (base 10) to base 12\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 23. Let g = -23 + x. List the prime factors of (531\/g)\/((-18)\/24).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -789, -1069, -1293, -1467, -1597, -1689?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 15*f**2 + 24*f + 15. Suppose 4 = 4*q, n + 9*q = 4*q + 29. Calculate the remainder when s(-17) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 84 = -g. Let c = -16 + g. Suppose c = 5*x - x. Calculate the lowest common multiple of 10 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from xxgggggxxgxgxt?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**(4\/7))*b)\/b)\/b*b*b*b\/b**(-22) assuming b is positive.\nAnswer: b**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = 3*z, -2*p = -4*z - 13 + 59. Suppose 6*j - 27 = -z. Solve -5*q = -j*w - 5 + 10, -2*w = -3*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 14*y + 20. What is the smallest common multiple of 7 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (68 - (-10 + -7 - -16) - 4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose 6*g + 8 = 4*g + o*r, -g - 8 = 2*r. List the prime factors of 10 + 2\/(g\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, 1 e, and 1 y when four letters picked without replacement from {j: 2, k: 2, y: 1, e: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 - 2, 0 = -2*t + 4*a - 6. Let v(d) = -126*d**3 - 4*d + 4. Let f be v(1). Let u = -124 - f. Put -6, t, u in descending order.\nAnswer: u, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 16*q - 39. Let f = 43 - 61. Let u be n(f). Let i be (46\/(-4) + 4)*10\/u. What is the highest common factor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4 or 108?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 23. Let t = 16 + b. Find the common denominator of 45\/16 and 2\/6 - (-31)\/t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 + -10.09993. Round w to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 - 23*j + 84. Calculate c(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - v - 11, 4*v - 19 = g - 0*g. Let j(k) = -k**2 - 5*k. Calculate j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from ghaad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2942*l - 63654 - 49704 = -8423*l + 62034 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*n - 506*n + 263*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*m - 14. What are the prime factors of ((-6)\/m)\/((-1)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -79. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -42.09945\nAnswer: -4.209945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 4, d: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4131 = 4*d - 4149, 5*c + 4 = -3*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/5 - (-6)\/30. Let p(s) = 4*s - 7. Let i(v) = -3*v + 5. Let x(n) = -7*i(n) - 5*p(n). Let l be x(-2). Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 - m**2 + m + 1. Let l be t(-1). Let r = 4186.98 + -4187.1. What is the fourth biggest value in -0.4, r, 8, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/2 (b) -4 (c) -0.2 (d) -2 (e) 10041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83900919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -827\nAnswer: 252\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -589856, -1179594, -1769334, -2359076?\n\"Answer: -h**2 - 589735*h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26 + (-35868)\/56)\/((-2)\/68).\nAnswer: 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z - p, 3 = -2*z - 0*z + 3*p. Let w = -0.09 + -0.01. Let l be 8\/39*(-6)\/(-8). Which is the closest to z? (a) l (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 64*s + 10. Let q be l(-3). Let f be ((-2)\/3)\/(q\/(-42)). Let m be 2\/(-5) + 2 + -2. Which is the second biggest value? (a) 5 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -8*r**6\/15 - 5*r**5 + 10*r**4\/3 + 200*r**3\/3 + 48*r**2 - 529*r. Suppose h(i) = 0. What is i?\nAnswer: -6, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22306*f**4 - 136*f**3 - 4*f**2 - 32908139*f.\nAnswer: 267672*f**2 - 816*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 39\/7, -3 in increasing order.\nAnswer: -3, 2\/5, 39\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 11*s**3\/3 + 11*s**2\/2 - 36*s. What is the smallest common multiple of n(2) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772926 is divided by 85880.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 + 13*t + 145)*((0*t**2 + 4*t**2 + 0*t**2)*(-2*t - 2*t + 6*t) + 2*t**3 - 2*t**3 + t**3).\nAnswer: 117*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31510422 - -24?\nAnswer: 31510450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1 + 6 + 2 - 3*r + 0 - r**2. Let j be k(-5). What is the tens digit of -5*(j\/6*62 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*y - 2*o, 13*y - o = 10*y + 212. Let c = 146 - 101. Let r = c - 27. Calculate the remainder when y is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a + 2. What is u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40657*b*h**2 - 13*b*h + b - 72*h**2 + 804*h + 14 wrt b?\nAnswer: -40657*h**2 - 13*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 220 + 6?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 i, and 1 m when four letters picked without replacement from {j: 7, i: 2, u: 1, m: 2}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 48792*c**2 + 97586*c - 146380\/3.\nAnswer: -2*(c - 1)**2*(c + 73190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*a**4 + 54*a + 9*a**2 - 108 - 7\/2*a**3.\nAnswer: -(a - 3)*(a - 2)*(a + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-205)\/(-82)*(-8)\/300*6)\/(3\/180).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14))\/((-231)\/22).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24882849 and 2346.\nAnswer: 49765698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38127812 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24795864 + 24795802.999941. Let c = -471.4 - -532.4. Let f = c + k. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1370*f**3\/13 + 30138*f**2\/13 - 44*f\/13.\nAnswer: 2*f*(f + 22)*(685*f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 2397, 3594, 4791, 5988, 7185?\nAnswer: 8382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2*j + 297. What is r(0)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268 - 34. Let i = -231.94 + n. Let j = -0.06 + i. What is the biggest value in -0.4, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q. Let k(o) be the first derivative of -3*o**2\/2 + 5. Give k(u(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 216230376 times 0.3\nAnswer: 64869112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0.2, 2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 - 3) + -6*1\/2. Let l be (2\/(-12)*-3)\/(2\/x). What is the remainder when (-31*1)\/(1 - l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 9*o**2 + o + 11. Let h = -21 + 30. Calculate the least common multiple of 2 and n(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133221 - 31003140?\nAnswer: -30314414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 8*d**2 + 46379754*d + 11594938 = 0.\nAnswer: -5797469, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/4 + 4683*c\/2 + 21930489\/4 = 0. What is c?\nAnswer: -4683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 43740?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34452 by -17226.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 28)*104\/(-16). Calculate the highest common divisor of i and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 2*i**2 + 0*i**3 - 5*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-527 - -535).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from alztzzqnzzqqzta.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 41*c + 15206. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 7. Suppose 3*x - x = -4*k - 18, -k - 3*x = 12. Let c be b(k). Let q(y) = 28 - 4*y - y**2 + 24 - 2*y - 47. Determine q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441120549.\nAnswer: 7, 193, 1806899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 924694254012 and -0.1?\nAnswer: 924694254012.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31161 divided by 2397?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 83*n + 7. Let j be f(-4). Suppose 5*s + 5*y - 2735 = 0, -4086 = -5*s - 3*y - 1343. Let p = j + s. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47121 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let x be a(3). List the prime factors of 1*12 + x\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 73 = 5*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 2681?\nAnswer: -482.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 8*j + 12. Suppose -2*h - 7 = 1. Let k be ((-2)\/4)\/(h\/(-8)). Let v(z) = 7 + z - 13 + 5. Give k*i(d) - 10*v(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-27)*(13*(-33)\/22 - (-21)\/7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - 25. Is (-1)\/(q\/92 + 1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -210, -0.5, 10.\nAnswer: -210, -0.5, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 k when four letters picked without replacement from kakkkakakk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -6*n + 8*n, -5*n = 2*d - 6. Suppose 0 = -d*g + 5*h + 56 + 29, -3*g = 5*h - 125. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 21*n + 104. What is h(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(-6)\/(-56)*8. Let d = 0.08 + -23.78. Let n = d - -24. Which is the closest to -7? (a) n (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 10*m**2 + 13*m + 17. Calculate o(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 2. Let v(o) = -o. Let d(a) = -3*a + 1. Let r(z) = -d(z) - 4*v(z). Let w be r(3). Let k be ((-25)\/w)\/(1\/4). What is m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -11, -3, 0.3 in ascending order.\nAnswer: -11, -3, 0.3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000660235 rounded to five dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -231b12 + 5?\nAnswer: -231b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 9\/5*d**2 + 5*d - 1 - 13\/60*d**4 - 1\/10*d**3 - 1\/150*d**6 + 7\/100*d**5. Factor f(l).\nAnswer: -(l - 3)**2*(l - 2)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361760, 723519, 1085278, 1447037, 1808796?\nAnswer: 2170555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 2*l + (2 + 1 - 4)*(-4*l - 2*l + 5*l))*(0 - 3 + 2) + (0 + 0 - 2)*(-3*l + l + 3*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2323, -9302, -20939, -37234, -58187, -83798?\nAnswer: -114067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i + 1644. Let m be (-4 - i) + 6\/2. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.1 - 18.8. Let k = -6.11 - o. Let c = k + -0.09. What is the closest to -8 in c, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5612754866?\nAnswer: 2, 1907, 1471619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h**5 - 3*h**4 - 3*h**3 + 9*h**2. Let z(g) = -17*g**5 - 6*g**4 - 5*g**3 + 17*g**2. Let a(j) = -11*x(j) + 6*z(j). Suppose a(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.74 (b) -0.3 (c) 1\/32662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*8\/2. Let h be (-243)\/(-1) + (m - 1). Let t be h\/(-2)*2*250. Round t to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -d + 4*b - 8, -2 = 2*d + 4*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.7 (c) -0.2753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -58, -9 in increasing order.\nAnswer: -58, -9, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/21 and 71\/254076627.\nAnswer: 254076627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/46748 and -11\/4.\nAnswer: 46748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 0.32.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 313414 and -58665503.\nAnswer: -58352089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 35. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 698 and 1914.\nAnswer: 667986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2389.\nAnswer: 4\/2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448 a multiple of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 25, 65, 123, 199, 293, 405?\n\"Answer: 9*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 9*w**2 - 9*w + 20. Let c be l(8). Suppose -8*x + 1080 = c*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7287666 and 470172.\nAnswer: 14575332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*u + 51 - 18, 5*u + 2*l + 24 = 0. Let q(i) be the third derivative of i**6\/120 + i**5\/12 - 5*i**4\/24 - i**3 + i**2 - 4*i. Calculate q(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 5 - 16 + n + (0*n + 0*n - 6*n)*(4 - 1 - 1) + n - 3*n + 0*n + (0*n - n + 0*n)*(-2 + 1 + 2) + n + 3*n - 10*n.\nAnswer: -20*n - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(9)*1))\/(-1*sqrt(12)\/sqrt(4)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + -3 + -5 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 5, q: 2, k: 3, d: 2, a: 2}. Give prob of sequence dk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25778 = -4*a + 4*d + 48126, 0 = 4*a - 5*d - 73901. List the prime factors of a.\nAnswer: 17, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 235a7c3?\nAnswer: 235a7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7064*x**2*z**3 + 20*x**2*z**2 - 44*x**2*z + x*z**2 + 11*z**4 + z + 4 wrt z?\nAnswer: -42384*x**2 + 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**7\/231 - s**6\/55 + s**5\/55 - 13*s + 2. Let g(y) be the first derivative of u(y). Factor g(x).\nAnswer: 2*x**3*(x - 2)*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (477\/(-318))\/(((-3)\/(-2))\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 7}. Give prob of sequence vy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**4 - i + 1. Let k be -6*12\/27*21\/14. Let h(u) = -u**5 - u**3 + u - 1. Let t(l) = k*r(l) - 4*h(l). Suppose t(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0)*(-27)\/81. What is the first derivative of 15*y + i*y - 2 + 10*y wrt y?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468894 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-381)\/(-117) - (-12)\/156)\/(8\/108*-3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s - 13 = 2*p, 5*p - 2*s = 15. Let n(f) be the first derivative of -28 - f - 1\/2*f**2. Let a(g) = -6*g - 6. Determine p*a(u) - 5*n(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -118932, 0.1, 1.1, -5 in ascending order.\nAnswer: -118932, -5, 0.1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2780441 and 635132?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63751052 is divided by 356?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10122?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 63d07?\nAnswer: -63d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r - 1, -5*x = -x. Let c = r - -1. Put 5, -2, c, -3 in decreasing order.\nAnswer: 5, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-18)\/5 + 0)\/((-16)\/280)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167323.1879 to the nearest one thousand.\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j + 118. Let l(y) = 17*y + 237. Give 5*d(h) - 3*l(h).\nAnswer: -h - 121","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 127, 1, 12, 5, 0 in ascending order.\nAnswer: 0, 1, 4, 5, 12, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(1296))\/((sqrt(18)\/sqrt(3))\/sqrt(2) + sqrt(3)) - (2*sqrt(84)*3)\/sqrt(7))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.3 - -8. Let f = -0.19 - -0.09. Let i = 154 + -774\/5. Which is the nearest to f? (a) y (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 95*x - 50. Determine g(-32).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*f + 104 = 0, -2*r - r = -5*f - 124. Let u be -2*2*9\/r. Let g = -12 + 11. What is the biggest value in u, g, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108705 or 108704?\nAnswer: 108705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16*c + 12*c + 8 = 0, 0 = -3*l - 4*c + 24. Solve l*a**5 - a**4 + 0*a**5 + a**4 - 4*a**4 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-1080)*2)\/((-16)\/(1008\/(-2499))).\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30880910 rounded to the nearest one hundred thousand?\nAnswer: -30900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(42)\/(-1*sqrt(7))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**4 - 2*m**2 - m - 1. Let w(t) = 192*t**5 - 15*t**4 - 105*t**2 + 15*t + 15. Let b(v) = 90*i(v) + 6*w(v). Find the third derivative of b(d) wrt d.\nAnswer: 69120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 18*z + 6. Let b be y(-8). Let f = -38 - b. Suppose -4*q - i = -6*i - 84, 3*q = -3*i + f. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 + 4*u + 4. Let b = 311 - 311. Let g(y) = -y**2 - 2*y + 9. Let l be g(b). Let m(q) = 12*q**2 + 9*q + 9. What is l*n(z) - 4*m(z)?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89929 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ea (base 15) to base 14.\nAnswer: -5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3810.02 - 3809. Sort k, 0.02, 0.4 in increasing order.\nAnswer: 0.02, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64213 and 1227.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23945 is divided by 203.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (20\/2 - -1). Let p(d) = 6*d**2 - d - 2. Let r be p(2). Let k = n + r. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218 - -2787. Is 3006 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/7 + 25\/7. Which is the nearest to -1? (a) -4 (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237705 + -5?\nAnswer: -237712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 186 + 55*m - 121\/2*m**4 + 55\/3*m**3 + 55\/2*m**2. Let s(w) = 9*w**3 - 2*w**2 - 2*w - 2. Determine 2*r(c) + 55*s(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 30 = -5*a, 873*a = 871*a - 2*b + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 454252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(5) + 3 + -4 - sqrt(5) - sqrt(5)) + sqrt(5) - (sqrt(720) + sqrt(720) + -1))*-6)**2.\nAnswer: 103679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18367478 divided by -2.\nAnswer: -9183739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 82*u**3 + 2*u**2 - u + 3. Let w(k) = 327*k**3 + 9*k**2 - 4*k + 12. Give 9*a(y) - 2*w(y).\nAnswer: 84*y**3 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5648 is divided by 404.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lklkkkylklyklk. What is prob of picking 2 l and 2 k?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 - ((45 - -118) + -14)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*i + 4 + 11, 2*i = -h - 5. Let g = 99 + -49. Does 16 divide g - (-2 - (i - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123072 - 81328. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 + 27783*c**2\/2 - 65945817*c\/2 + 7459172637\/2.\nAnswer: -3*(c - 4571)**2*(c - 119)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q - x - 37, x + 17 = q. What is the remainder when 1\/3 - (-334)\/6 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 68. Suppose 3*t = 7*t - c. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 55. Let s be (-1 - 2) + 3 - d. Is 9 a factor of -4*(-4)\/16 + s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3352 + 14029. What are the prime factors of a?\nAnswer: 7, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-10)\/5))\/(15\/((-1440)\/(-16))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1649 + 1649.2. Sort b, 41.9, -5 in decreasing order.\nAnswer: 41.9, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426.1855 + -0.2855. What is d rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/11 - 1308*s**3\/11 - 32214*s**2\/11 - 20296*s - 29832 = 0?\nAnswer: -11, -2, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a32e (base 15) in base 12?\nAnswer: 8ba08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -531, -1064, -1597?\n\"Answer: -533*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 31 + -17 + 2 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 5. Let t be n(-7). Suppose 2*f + 343 = t*f. What is the remainder when 440 is divided by f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - -271. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062060 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 smaller than -1.1044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15092263 is divided by 902.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(931) + 4*3*sqrt(931) - (2 + (sqrt(684) + (sqrt(684) - (sqrt(684) + -2*sqrt(684))))*2 + -4 + -1*sqrt(684)))**2.\nAnswer: 300*sqrt(19) + 106879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -140.48 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + 1.75. Let f = l + 2.5. Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7732020 + 235?\nAnswer: 7732255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by 90?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -44*i**2 + 2*i. Let c(b) = -642*b. Determine c(p(s)).\nAnswer: 28248*s**2 - 1284*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 68*w**2 + w - 7. Let b(l) = -109*l**2 - l + 11. Let f(p) = -5*b(p) - 8*z(p). Suppose -3*x = -0 + 9. What is the remainder when 52 is divided by f(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*a**2*p + 779*a**2 + 2*a*p - 34*a + 52*p + 3 wrt a?\nAnswer: 344*p + 1558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -306? (a) -2 (b) -3 (c) -91 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 149.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 4) in base 12?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 i, and 1 g when four letters picked without replacement from gagvgrvnngvi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28014594 - 1.08.\nAnswer: -28014595.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 87 + 3173*y**2 + 35 + 27)*(0*y**2 + y**2 - 4*y**2).\nAnswer: -9519*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(450) - (sqrt(450) - (-2 + (sqrt(450) - -1*sqrt(450)))) - (-3 + (sqrt(450) - -2*sqrt(450)))))*-2)**2.\nAnswer: 360*sqrt(2) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 11 + 65)*(-8*z - 8*z - 5*z) to the form x + n*z and give n.\nAnswer: -2961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 7. Let i be o(-13). Let w be 147\/12 + (-1)\/4. Solve i*k = 3*k - w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxpppppppppxp. Give prob of picking 4 p.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 11*c. Let n(q) be the third derivative of -1\/6*q**4 + 1\/60*q**5 - 3*q**2 + 0*q + 0*q**3 + 0. Let g = -18 - -7. Calculate g*n(p) - 4*t(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123, -84, -45, -6?\n\"Answer: 39*i - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i + 177. Give y(12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193376 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)\/(36\/(-726)). Let a(v) = -22*v + 2. Let o be a(1). Let b = n + o. What is the common denominator of b and 1\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let q(c) = -11*c**2 - 5*c - 5. Let v(u) = -6*u**2 - 3*u - 3. Let k(p) = 3*q(p) - 5*v(p). Calculate k(i(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 68, -0.5, 5\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3588.53 * 43.\nAnswer: 154306.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2327534840 - 2327391476.0009. Let z = 143375 - n. Let d = 11 - z. What is d rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-2) - (3 + -4). Let r(n) = 3*n**3 - n**2 + n + 1. Let b be r(1). Solve f - 7 = -2*j, -5*f + q - 3 = b*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, -155, -4 in descending order.\nAnswer: 3, 0, -2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l**4 - 24*l**4 + 0*l**4 + (0*l**3 + 2*l**3 - 3*l**3)*(l + l - l) - 5 + 5 - l**4.\nAnswer: -37*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*4*-2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -141 and -163.6.\nAnswer: -304.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 208 = 258*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x + 934 = 3*l, -3*x + 930 = 3*l. Suppose -11*v - 2*v - l = 0. Let z(s) = -4*s + 17. List the prime factors of z(v).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v**2 + 2*v)*(4 - 6 + 12).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -14*g + 120 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3548 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 37*b - 1. Let d(v) = 19*v - 1. Calculate -11*d(o) + 6*j(o).\nAnswer: 13*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2045622411 divided by 21.\nAnswer: 97410591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94668912 and 3641112?\nAnswer: 94668912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t + 7\/3*t**3 + 0*t**2 + 99. Let z be (-2 + 1)*-1 - 0. Let g(y) = -y**2. Give z*j(u) + 6*g(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-1 - ((5 - -1) + -5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qegmm. Give prob of sequence qm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -2 - -4064) + -9.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -900.7 + 901. What is the nearest to 0 in -1, -30, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, m: 8, b: 4}. What is prob of picking 4 b?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 40*z + 7 - 700 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:18 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 - 14*r**3 + 8830*r**2 - 163650*r - 1039500 = 0. Calculate r.\nAnswer: -77, -5, 30, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92504 and 3?\nAnswer: 277512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 22*i**2 - 83*i + 22. Give s(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000188 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, 49, -77\/131?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -216. Let r = o + -76. Which is the fourth smallest value? (a) 2 (b) 0 (c) -0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 13*x - 1. Let m(b) = b. What is -k(v) - 3*m(v)?\nAnswer: v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3\/1) + (-31 - -72) + -62.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 - 1095*w**3 + 9015*w**2 - 14725*w + 6810 = 0.\nAnswer: -227, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2072671 - 2072451 + 33*k**2 + 4145122.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11731 - 2065 = 0. Suppose 315 - v = -6*f. What is the remainder when f is divided by 7\/(364\/1620) + (-14)\/91?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13047 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**(-3\/14))**(-3\/20)*(i*i**(2\/29))\/((i\/i**(1\/14))\/i)*(i*i**(1\/3))**7 assuming i is positive.\nAnswer: i**(509497\/48720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - -1. Differentiate -f + 9*k - 26 + 59 with respect to k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 9 + 24. Suppose 3*n + 3*q = 2*q + 96, -4*q - 112 = -4*n. Let d = c + n. Calculate the greatest common factor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6040938217 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 11:03 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4.4\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 62, 64, 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 22644819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*r - r**3 - 33*r - 4*r**4)*(23 + 15 - 11).\nAnswer: -108*r**4 - 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 3*m**5 - 2*m**5 + 3*m**2 + (5*m + 5*m - 8*m)*(-m**4 - m**2 + m**2).\nAnswer: -7*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g**2 + 4*g**2 - 10*g**2)*(-3 - 6*g + 4*g - 3) to the form m*g**2 + x*g**3 + y + t*g and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1205, -2413, -3633, -4865?\n\"Answer: -6*b**2 - 1190*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 2 + 8*f**2 + 0*f + f**4 + 95\/6*f**3. What is the first derivative of k(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 3*k**4 - 2*k**3)*(-4 + 3 + 2) + (-3*k - k + 3*k)*(-k**3 + 4*k - 4*k) - 3*k**4 + 4*k**4 - 4*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 5. Suppose -2*v + 2*r + 12 = r, 0 = t*v + 4*r - 4. Solve 23 - 3 = v*z - 3*c, -5*z + 18 = -2*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108)*-2*1)**2 + 4*(sqrt(108)*-2 + 1)**2.\nAnswer: -96*sqrt(3) + 2164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*n + 10 = 0, -3*n + 13 + 22 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(5\/(-2) - -3). Suppose 4*m - 1 - 2 = -l, 0 = 4*l + 3*m + 1. Let q = l + 1. Put u, 3, q in increasing order.\nAnswer: q, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760957 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 11. Suppose -2*c - 3*c - w + 47 = 0, -3*c + 3*w + 39 = 0. Is 6 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = a - 7, a - 15 - 7 = -4*v. Suppose 0 = 2*d - 3*g + 2, v*d + g - 11 = 1. Suppose i - 3 = -4*o - 0*i, -i - 4 = -3*o. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 3*k)*(-k**2 + 5*k**2 - k**2) + 4*k**2 - 2*k**3 - 4*k**2 + (-1 + k**3 + 1)*(0 - 1 - 1)*(0 + 4 - 3 + 4 - 3 + 3 + (-7 + 2 + 1)*(0 - 1 + 2)).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60*87\/20880)\/((-17)\/4).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -620023 (base 8) to base 11.\nAnswer: -12a97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-10) - (-24)\/(-60). Let n be (-2)\/((h - (-1 + 1)) + -3). Let s(g) = -g**2 + 1. Let x(d) = -8*d**2 + 5. Calculate n*x(i) + 6*s(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4 + 16*u**3 + 69*u**2 + 94*u + 40 = 0.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207767539 is divided by 1208.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/25*6145*(3 + 0 + 42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 2 + 2)*(-12606*i + 6309*i + 89 + 6299*i + 4*i**2).\nAnswer: 16*i**5 + 8*i**4 + 356*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 2*l + l + (0 - 1 - 2)*(l - l - l) to the form q*l + z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -251*d + 245*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -5 (b) -0.1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:59 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 316 = 388 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33181084 divided by -1?\nAnswer: -33181084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let j(b) = 3*b**2 - 2*b + 2. Determine 3*c(i) + j(i).\nAnswer: 3*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480882 divided by 26.\nAnswer: 56957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 273.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5388130 and 44530?\nAnswer: 5388130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -26. Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/30 - (-8)\/(-3). Let s = 307 - 22. Let l be (2\/h)\/((-10)\/s). Calculate the greatest common divisor of 95 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*w = 42, -o + 2*w - 40 = 2*o. Let c be (-3)\/o*12\/(-18). Let y be (-7)\/(-5) + 2\/(-5). Is y equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 62, 75, 92, 113?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 31. Let q be n(7). Suppose 30 = 3*s - 21. Suppose -4*v + 4*o - q = 1, v + 4*o - s = 0. What is the nearest to -1 in 5\/6, 5, v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) - (sqrt(612) - -1*sqrt(612))**2*1.\nAnswer: -2448 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -40*k. Let s(y) = y + 6136. Determine s(i(t)).\nAnswer: -40*t + 6136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117695261 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3dc (base 16) to base 14\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3)\/(-1)*-2. Suppose 68 = 2*o + s*o. What is the remainder when 65 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.146 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -169.97 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*m + 6 = 0, -3*v + 4*v = 4*m - 12. Suppose -4*c = 5*x - 7, 5*x - 13 - 8 = 3*c. Solve v*y + 24 = 2*y + 4*l, 0 = -3*y + x*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.028 - 5.828. Let x = -6 - z. Let j = 1 + -0.8. Sort j, -4, x.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293004 less than 0.05?\nAnswer: 1293004.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57757217 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9637?\nAnswer: 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 35395 (c) -1\/7 (d) -0.0174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let a be d(1). Calculate the highest common divisor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3970, -7938, -11896, -15838, -19758, -23650, -27508, -31326?\nAnswer: -35098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-6)*7539\/(-70). Let k = -572 + s. Factor -39\/5*u - k - 27\/5*u**2.\nAnswer: -3*(u + 1)*(9*u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020110 - -12200?\nAnswer: 2110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - 34. Let b be 8\/60 + (-870)\/g. Solve -b*m - 12 = -10*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17083 is divided by 555.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 7. Let m be f(-8). Suppose r + 7 = m. Let p(x) = 2*x**2 + x - 2*x**2 - 3*x**r - 2*x. What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606126998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542514391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1040 by -208.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.63 + 1.93. Let v = o + 49.7. Let a = v + -42.0036. Round a to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.3. Let z = 5.9663 - -0.0337. Put w, -0.1, z, 1 in increasing order.\nAnswer: -0.1, w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23108639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000011101?\nAnswer: -1000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/567 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 - -5.21. What is the second smallest value in h, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/36 + 99\/(-162). Which is the second biggest value? (a) -2 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -629803, -629803, -629801, -629797, -629791, -629783?\nAnswer: -629773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-17)\/(102\/120)*-58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5792 smaller than -5859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-4) + 2\/8. Let g(r) = -22473*r + 3. Let a be g(0). Let n(m) = m**2 - 2*m + 2. Let f(b) = -2*b**2 + 3*b - 3. Calculate a*f(k) + c*n(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 15 = 5*w. Let c be (-7 - 4\/(-1)) + (6 - 1). What is the derivative of -13 - 63*r**c + 27*r**w + 63*r**2 - 12*r**3 wrt r?\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 5*l**2 - 60*l**2 + 27*l**2 + 29*l**2.\nAnswer: l**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*310\/225 + 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59679 * 14.\nAnswer: 835506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966282 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 5. Let f = t - 28. Suppose -2 = -f*s + 2*s. Solve -s*d - 2*d = -8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - 0. Let i = 3.9 + 0.1. Let n = -0.08 - -0.28. What is the nearest to n in i, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**8\/1512 - x**7\/315 - x**6\/270 - x**2 - 10. Let m(p) be the second derivative of z(p). Suppose m(k) = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 + x. Suppose 17*o + 13 + 21 = 0. Let l(a) = -3*a**2. Give o*m(w) - 9*l(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 1304241?\nAnswer: 1304201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 19377*z**2 - 58158*z = 0.\nAnswer: -3, 0, 6462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueuu when four letters picked without replacement from {m: 2, c: 1, e: 7, u: 4, b: 1}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59\/1*(-1 - 5). Find the common denominator of 3\/22 and (-15)\/(-10)*-71*(-2)\/r.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.363 + -0.037. What is the biggest value in 11, 2, k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 0*l**2 - 880*l + 2024*l - 995*l.\nAnswer: l**2 + 149*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 2*m - 38, 4855 = -m + 4856 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1100) + -2)**2.\nAnswer: -120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 - 13*d**4\/12 - 2*d**3 + 7*d**2\/2 - 883*d - 2. Determine a(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166186, -332329, -498472, -664615, -830758?\nAnswer: -996901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 11471, 5 in decreasing order.\nAnswer: 11471, 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + ((sqrt(1872) - (sqrt(1872) + -2*sqrt(1872) + sqrt(1872))) + sqrt(1872) - sqrt(1872)) + -4)*-4)**2.\nAnswer: -110592*sqrt(13) + 1115136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -4*n - 201. What is the smallest common multiple of 156 and n?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - g**2 + 2*g**2)*(4*g**2 + 2*g**2 + 16*g**2).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-45)\/2))\/(185\/333)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 + f**3)*(-3355*f**2 - 1965848*f + 1965848*f)*(-1 + 3 + 0).\nAnswer: -6710*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 1854 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 2 + 6 = 4*s. Suppose -2*n - 3 = 3*y - 11, 0 = -s*y - 4*n. Calculate the least common multiple of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -m + z + 3, -4*m - 4*z + 20 = 0. Let o = -0.03 - 0.07. What is the nearest to -2 in m, -2\/25, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18115 + 398445\/22. Calculate the common denominator of u and -53\/274.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c61 (base 13) in base 7?\nAnswer: -15356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {b: 3, d: 2, v: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 at most 531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1378930*r**3 - 1378928*r**3 - 612*r + 408*r**2 - 53*r**2 wrt r?\nAnswer: 12*r + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 - m. Let l be s(-3). Suppose 5*j - 100 = -l*x - 0*j, -136 = -3*x + 4*j. Calculate the greatest common factor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 13*p**2 + 1. Let n be w(-13). Let k(d) = d**2 + 13*d - 46. Let h be k(-16). Solve -h*g + 3 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2736)*4 - (sqrt(2736) - (sqrt(2736) + -3))**2*-4) + ((-1 + sqrt(2736) + 4)*-2)**2*2.\nAnswer: 528*sqrt(19) + 21996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.3. Let r = 1.8 + -12.8. Let j = r - -7. Which is the closest to 0.1? (a) j (b) -1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3.36, -7, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 47 (c) -1 (d) -3\/2 (e) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 139ae97 - 0?\nAnswer: 139ae97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvdhy. What is prob of sequence dt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 1656 = 15*u. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2)\/((sqrt(192)\/sqrt(6))\/sqrt(8) + sqrt(4)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3566\/43 - 868121\/11180. Let c be (9\/390)\/((-10)\/(-225)). Let b = u + c. Calculate the common denominator of -53\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3155, 3155, 3157, 3161, 3167, 3175, 3185?\nAnswer: 3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 6*m - 26. Calculate a(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 500.567 - 507.2. Let n = 0.067 - b. Let f = n - 6.69926. What is f rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 + 25049524\nAnswer: 25049381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert ced23 (base 15) to base 2.\nAnswer: 10100000100100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = 5*x - 21527, -4*o - 2*x = -43078. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 85. Let q be z(20). Suppose q*f - 5*w = -0*w + 1640, -5*f = -3*w - 1644. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1200 + -565. Suppose 5*r - o = -3*l, 0 = 2*r - l - 106 - 159. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/275 or 0?\nAnswer: 37\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388507578.\nAnswer: 2, 3, 64751263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddb when three letters picked without replacement from {d: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/381 and 49\/3.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -21. Calculate the lowest common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390 - -393. Calculate the remainder when 2\/(-2 - 4536\/(-2262)) + w is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + 1. Let y be 4\/(-16) - (u + -1). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1872)*-1 - sqrt(1872))*4 + -3)**2.\nAnswer: -192*sqrt(13) + 119809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 65. Suppose 12 = -17*f + 11*f. Which is the closest to f? (a) -7\/4 (b) d (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:08 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a + 27. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*m + 23 + 41, 0 = -2*f - 3*m + 16. Suppose -4*p + f*p - 70 = 0. Let z(b) = -b**2 + 11*b + 4. What is the units digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.74 smaller than -0.0953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22921450 and 0.073.\nAnswer: 22921450.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-25))\/((-2)\/10). Suppose q + l*w = -4, -4*q + 5*w - 2 + 3 = 0. Is (q\/(-3))\/((-1)\/(-87)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895056 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 0*g - 6*g to the form o + u*g and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128280 by -3.\nAnswer: -42760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 0*l**3 + 1\/2*l**2 - 5*l + 5\/12*l**4. What is the derivative of g(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*f + 126 = 4*o, 5*o + 5*f - 705 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + sqrt(9))*4)\/sqrt(3))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -458\/3 + 2284\/15. Which is smaller: 455 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (29 - (14 + 2)) + (-24 - 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v - 30. Let f be b(-3). Suppose -22379 = f*j - 66284. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 - 1\/12*u**4 + 3\/20*u**5 + 1\/2*u**2 - u - 1\/6*u**3. Let p(s) = s**3 - s**2. Let k(m) = 4*p(m) - r(m). Calculate k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 17*j**2 + 25513*j - 7. Give d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 32443407871.\nAnswer: 32443407871.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 36.761703139089 and -0.1.\nAnswer: 36.661703139089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-16)\/(-200))\/(-1 + (-302)\/(-310)) and -73\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-282)\/204 - 6\/(-4). Which is the third biggest value? (a) h (b) -5 (c) -20 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**2 + 0*v**3 + 0*v**6 + 1\/4*v**4 + 0*v**5 - 2*v + 0 + 1\/28*v**8 + 0*v**7. What is the third derivative of c(w) wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3435 or -3436?\nAnswer: -3435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1366, 5454, 12262, 21790?\nAnswer: 34038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*l**4 - 4*l**2 - 6*l**4 + 2*l**2 + 1 as b*l**3 + a + v*l**4 + i*l**2 + r*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 - h - 1. Suppose -3*p + 6 = -p. Let a(g) = 2 + 5*g**p + 6*g**2 - 2*g - 4*g - 8. Calculate a(k) - 6*s(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123704 - 489961\/4. Let z = r - 1223. Let n = 39671\/11 + -3609. Find the common denominator of n and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5)\/f**21)\/(f*(f*f**4\/f)\/f)**(7\/2))**49 assuming f is positive.\nAnswer: f**(-8526\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46807977 - -107.46723577. Let x = t + -107. Round x to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x + 3654 = 350*x - 90*x - 92*x for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*o**2 + 3*o + 24184 - 107*o**2 - 12093 - 12091 as s + h*o**2 + y*o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3854872.4 minus -0.5?\nAnswer: -3854871.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -19\/3, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -567, -2042, -4499, -7938, -12359?\n\"Answer: -491*a**2 - 2*a - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbjfczbbbbjbjffbjjb. Give prob of sequence zjzc.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:16 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d8302 + -12?\nAnswer: d82f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 2*w - 84. Let v = 265 + 6. What is the units digit of (-6)\/w + v\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 plus 4.08?\nAnswer: 4.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 + 2*v - 7. Suppose 3*h + 22 = 5*z, 5 = 2*z - 3*h - 2*h. Let t be q(z). Let k be 20 - (6\/t)\/(-2). Solve 5*g = -k - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.14 (b) 24\/29 (c) -0.025 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, -0.2, 2\/5 in ascending order.\nAnswer: -2, -0.3, -0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 1, m: 3, z: 1, g: 6, q: 3}. Give prob of sequence tg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112) + -1 + sqrt(112)) - 3*(1 + sqrt(112)))**2.\nAnswer: -40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 - -0.21. Which is the closest to 0.1? (a) 0.3 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*16*(456\/(-16) - 4). Let n = -520 - b. Solve -3*d + 5 - 2 = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r + r + (3*r - 2*r + 0*r)*(-2 + 2 + 1) - r + r + 2*r - r + r - 2*r + 0*r + 4*r - 3*r + 5*r - 2*r - r + (0*r + 0*r - r)*(3 - 4 + 0) + 1 - 1 + r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/(-50) + 4\/(-50). Let u(g) be the first derivative of 0*g + d*g**2 + 1\/20*g**4 + 4\/15*g**3 - 5. Factor u(x).\nAnswer: x*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19177396.\nAnswer: 2, 7, 37, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106, 129, 150, 169?\n\"Answer: -m**2 + 26*m + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/5, -5, -3\/13, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.96 minus 23510?\nAnswer: -23497.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3423 and -74\/3423?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*f = -3*i - 307*f - 46, -3*f - 32 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/805632 and 103\/67584?\nAnswer: 70895616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1604.0000502 - -1604. What is o rounded to 6 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8013 - 1.8. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/4 - 0\/(-2). Let k be -4*4\/((-4)\/v). Let j = k - 6. Solve 0 = 4*w - j - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6641 - -6667. Let u(p) = p**3 + 6*p**2 - 10*p - 15. Let m be u(-7). What is the greatest common factor of m and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1566001\/15 + -104351. Let d = -1113\/20 + z. Let t = 1918 + -19159\/10. What is the common denominator of d and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*q + 132*q = 16. Let v(k) be the second derivative of -1\/10*k**5 - 5\/2*k**2 + 3*k + 0*k**q + 0*k**3 + 0. Differentiate v(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7. Let q be c(0). Let f = q - -11. Suppose 7*h - 2*h = -k + 105, 5*k + 55 = f*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(8\/180) - -2. Suppose -x - m = 4*m - y, 3*x = -4*m + 97. Suppose -z + 0 = -x. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2491 by -92.\nAnswer: -2491\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*9\/(-12))\/((-9)\/6). What is the remainder when (145 + 4)\/(n\/2) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16795 = -2*c, 4*n - 3401 - 10053 = 2*c. What are the prime factors of n?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212101111 - -12112?\nAnswer: -1212011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*((-173)\/692)\/((-2)\/(-2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26667\/5 + -5334. Suppose -4*m = -3*j - 27, -1 + 4 = -4*m - 3*j. Which is the fourth smallest value? (a) -17 (b) -0.1 (c) m (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2, -4, -0.4, -799 in increasing order.\nAnswer: -799, -4, -2, -0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c - 2960. Let y(a) = a. Give y(z(f)).\nAnswer: f**2 + 5*f - 2960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 3. Let d be j(-10). Suppose 0 = -2*x + d*x - 65. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 3. Let t be u(2). Let l be 533\/t - 8\/36. Suppose -2*i + l = -v - 2*v, -4*v = -2*i + 64. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 38. Solve u = 2*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 7*j - 11*j. Is 15389\/j + (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 + (-34 - -74) - (-3 + -10)) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18.18, -0.3, -0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 37*y**2 - 34*y + 75. Let a be x(-36). Suppose 0 = g - 3*h - 18, -h = -a*g + 5 + 9. Solve g*m - 16 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b - 153. Let x be h(-13). Let o = 268 + x. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + v + v = -11, -2*f = 5*v + 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29166, 29163, 29160?\nAnswer: 29157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - 1) + (-246 - -235) + 9 + -7 + 9?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 328096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -104, -67, 4, 121, 296, 541?\n\"Answer: 2*f**3 - f**2 + 4*f - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.995 + 7.0864. Round n to two dps.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let c be m(-3). Let u be (-9)\/c + 2\/1. Solve 3*h + 0 - u = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5))\/z*z**0*(z\/z**7)\/z*z**(2\/7)*((z**(3\/5)*z*z)\/(z\/z**(-3)))**(-17) assuming z is positive.\nAnswer: z**(773\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6565325 + -8\nAnswer: -6565333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = 5*x. Let q = 7 + -4. Suppose -q*h + 8*h - 191 = 2*c, x*c + 123 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n - 20. Let x(s) = -7*s - 13. Let z(y) = 5*v(y) - 8*x(y). Let r(c) = -c + 1. Let u(t) = 5*r(t) - z(t). Differentiate u(a) with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*((-8)\/24)\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 4, -83, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 47*z - 266. Let x be f(5). Solve 5*j = 2*w - 25, x*w - 66*w = -3*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) + 1*sqrt(1100)*-2 + sqrt(1100) + 1 - (-2*(sqrt(1100) + 1) - -1*sqrt(1100)*-4))**2.\nAnswer: 360*sqrt(11) + 39609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1151, 1155, 1159, 1163, 1167, 1171?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 21*l - 86. Let o be t(15). Let x(d) = -d + 2. Let y(i) = i - 3. What is o*y(u) + 5*x(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*g + 7, -4*g - 23 = 2*r - 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 12*s + 15. Let l(y) = -11*y - 1. Let x be l(-2). Calculate the least common multiple of r(11) and x\/3 + 2 + 5 + -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let y = 2.5 - 2. Which is the closest to 1? (a) y (b) 2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1362 + -17723\/13. Let f = 229\/26 + n. Let j = f + -41\/6. Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.328872 grams to tonnes.\nAnswer: 0.000000328872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 664*h. Let c(x) = -2*x - 10. Let v(r) = 3. Let g(z) = -3*c(z) - 10*v(z). Give g(f(u)).\nAnswer: 3984*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*u - 25 - 1, 4*u = -3*v + 31. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2945*i + 7*i**2 + 2913*i - i**2 - 5984*i in the form t*i**2 + h*i + a and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -109, -0.3, 78, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:18 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/56)\/((-1)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 30*a + 10. Let p(j) = 13*j**2 - 96*j - 29. Let s(y) = -10*b(y) - 3*p(y). Factor s(t).\nAnswer: (t - 13)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j\/(j**(2\/15)*j)*j*j*(j\/(j\/(j\/j**(-5)*j)))\/j*j\/(j*(j*j**(-2\/3)*j)\/j) assuming j is positive.\nAnswer: j**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d*d**(-11)*d)\/(d*(d\/d**2)\/d)**(-2\/43) assuming d is positive.\nAnswer: d**(-561\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 5*b**2 + 3*b + 7. Suppose -4*m - 5*x + 110 = 0, -2*x = -1 - 3. Suppose 5*n = -5*o + 3*o - 15, -n + 4*o - m = 0. Determine u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5042993 is divided by 1852?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/30 and 81\/26048780.\nAnswer: 78146340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4272714g in micrograms?\nAnswer: 427271.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86067392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 5*c)*(30 + 472 + 112)*(-4*c + 4*c - c**3).\nAnswer: 1228*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1996*b + 5975*b - 1991*b - 1994*b. Let z(q) = -369*q. Calculate z(r(s)).\nAnswer: 2214*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*p**3 + 223*p**3 - 6*p**3.\nAnswer: 307*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.18399, 3, 2?\nAnswer: -0.18399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-11507)\/(-2) - (7 + -1 + -9)?\nAnswer: 2, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/16 + 3*x**3\/2 + 61*x**2\/8 + 21*x\/2 - 527. Let d(w) = 0. Calculate w.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -34 (b) -14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5093896, 10187793, 15281692, 20375593?\nAnswer: 25469496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 - -135) + (-2 - -2 - (-1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 10, g: 2, s: 4}. What is prob of picking 3 s and 1 v?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850021?\nAnswer: 850021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 2, l: 6, b: 3, f: 5, k: 1}. What is prob of picking 1 b, 1 k, and 2 d?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-3) - (-1002 - 2). Suppose 0 = 2*c + 3*j - n, 4*j = 9 - 1. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 65 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - -207?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -11*b + 21. Suppose -b = 2*s + 3, -4*w + 3241 = -3*s. What are the prime factors of w?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 + 2*l - 6. Let o be t(6). Let f be (-3)\/(-16 + (-1084)\/(-68)). Calculate the highest common factor of o and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*r = 37, -4*q + 3*r + 21 = -2*q. Let z = 8 - 5. Let 3*a**4 + 0*a**3 + q*a**3 + a**z + a**2 = 0. Calculate a.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.6 - 28.6. What is the closest to 3 in 1\/4, a, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11756 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865.6373*63.\nAnswer: 54535.1499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 3. Let i be q(-5). Suppose -28*f - 27*f - 30061 + 33581 = 0. Calculate the highest common factor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428 and 15146?\nAnswer: 3241244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 20*u**2 - 700*u - 17. Let g(z) = 7*z**2 - 233*z - 6. Give -6*d(j) + 17*g(j).\nAnswer: -j**2 + 239*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(110)*1*4)\/(-2*2*sqrt(250)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -812508.739874 - -812351.74. Let k = 198 + -41. Let b = n + k. What is b rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + s**3 - 4*s + 4*s**2 + 2*s. List the prime factors of c(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 5 + 11 + 24.\nAnswer: -q + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 426 = 3*y, r - 78 = 6*y - 3*y. Does 10 divide -35*3\/(r\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 - 82*z**2 + 144*z + 224 = 0. Calculate z.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*d = 100, -2*d + d + 95 = 3*o. Let u(k) = -18*k - 15*k + o*k. Let v(i) = -i. What is u(v(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*f - 3, -3*f + 14 = 5. Let w = 1 + -2. Let t = 67792 - 135585\/2. What is the closest to w in t, -2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let t = -20 - -35. Let z = -31 - -38. Solve -t = z*q - a*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 2023 = -1903 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (((sqrt(5)*-2*2 - (sqrt(10) + sqrt(30)\/sqrt(3))\/sqrt(2)) + 4)*5)**2)*5*2.\nAnswer: -98000 + 24000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-7) - (10 + -6 - 8)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*y**2 + 18169*y - y**2 - 18155*y - 6 = 0. What is y?\nAnswer: -1, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332605, -332986, -333367, -333748?\nAnswer: -334129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.95 - 30. Sort h, -0.3, -0.4 in decreasing order.\nAnswer: h, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55926 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*i - 3 + 9, 0 = 4*p + 3*i - 9. Is 10 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 1, 27, -4, -14, -1 in descending order.\nAnswer: 27, 1, -1, -3, -4, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 558715583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 7. Let v(i) = -38*i. Let o(m) = -115*m. Let t(s) = z*v(s) + 3*o(s). Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 2*j**3 - 2*j**3 + (45*j**2 + 488 - 488)*(3 - 2*j - 3).\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*v + 8 + 6 = 0, -10 = -a + 3*v. Solve -a*l + 4*l = 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 412, 439, 480, 541, 628, 747, 904, 1105?\n\"Answer: s**3 + s**2 + 17*s + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7191514 is divided by 83.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000281512 to seven dps.\nAnswer: 0.0002815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -999 + a**3 - 294 + 109 + 0*a**3 + 4*a**3 - 2*a**3 + a**3 + (2*a + a - 4*a)*(-2*a**2 + 2*a**2 + 2*a**2).\nAnswer: 2*a**3 - 1184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13230 = -32*h. Let j be 2\/11 + (-3434)\/11. Let v = j - h. List the prime factors of v.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064873 rounded to five decimal places?\nAnswer: -0.00649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1\/3, 1, -5.3, 3 in increasing order.\nAnswer: -36, -5.3, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 + -6 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 149. Let q = -108.4 - p. Which is the second biggest value? (a) 6 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -4*m + 10 + 1\/3*m**3 + 21*m**2. Determine a(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 63170.\nAnswer: 63170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 175 = -43*j + 3*r, -j = r - 155. Solve j*s = 154*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 60. Let u = -40 + m. Solve 0*x + 10 = 2*x + 3*p, u = 4*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-31)\/d*d*d**18)\/(d**(3\/13)\/d*d*d*d**(-17)*d) assuming d is positive.\nAnswer: d**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 64*j - 16*j - 18*j + (j - j - j**2)*(-2 + j + 2) + 5*j**3 - 7*j**3 - 2*j**3 to the form c*j**3 + k + u*j**2 + s*j and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 + 8*x + 6. Let d be q(5). Let n = d - -9. Let c = 20 - n. Solve 0 = -t - 5*f - 1, 0*t - f + c = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 65. Let j be (-66)\/(-14) - i - 26\/(-91). Find c such that -32\/7*c**j - 18\/7*c + 48\/7*c**2 + 2\/7 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2610)\/(-240) - ((-6)\/48 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 25 = -3*r, 2*r + 2*x + 10 = 3*r. Let k be 3\/(-9)*(r - 27). Let t = k + -3. What is the highest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, u: 10, a: 1, f: 4}. Give prob of picking 1 a and 1 g.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.73 + 0.33. Which is the third biggest value? (a) v (b) 2\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 895 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 200, 205, 222, 257, 316?\n\"Answer: i**3 - 3*i**2 + i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 8*y**2 + 6*y + 15. Let q be 183\/21 + (-6)\/(-21). Let l = q - 2. Is n(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 676 + -671. Solve -y*a + 5 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) - sqrt(39)\/sqrt(3)*-5 - sqrt(13))*-6.\nAnswer: 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 4488 = 15*p. What is the remainder when p is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195516*c**5 + c**3 - 2*c**2 + c + 3969462.\nAnswer: -3910320*c**3 + 6*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(5 - 2) + 5. Let v(i) = 2*i**2 + 2*i + 3. Let k be v(b). Suppose 0*d + 0 - 4\/9*d**2 - 2\/9*d**k = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12916? (a) 1\/6 (b) -4\/11 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 5100578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/2, -2\/7, 2, 2.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -717*h + 491*h - 929*h as d + b*h and give b.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1217.00000857 + 1217. What is z rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*j = 0, -5*v - 21 = -7*v - 3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2936 = -4*k + 30912, -4*k + 33864 = -2*z. Calculate the remainder when k is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299233*n**5 + 312506*n wrt n?\nAnswer: 5984660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z - 34. Let b(k) = -k**2 - 7*k - 5. Let j be b(z). Is j at most 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1, -22452, 4.\nAnswer: -22452, -39, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 18*t)*(-t**2 + 4*t**2 - t**2)*(176*t + 111*t - 47 + 47) in the form h + a*t + u*t**3 + f*t**2 + z*t**4 and give z.\nAnswer: -10332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(135\/405)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -3*r + 4*r**2 - 49\/20*r**5 + 0*r**3 - 6*r**4 - 1\/40*r**6 + 0. Factor s(c).\nAnswer: -3*c*(c + 1)*(c + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993\/3 smaller than 665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 - -236. Factor 104*u - 3*u**2 + 441 + 5*u**2 + 911 + j*u**2.\nAnswer: 2*(u + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 3*i**3 + 5*i**3 + (-5*i**3 - 2*i**3 + 4*i**3)*(2 - 4 + 4) + 3*i**3 - i**3 + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from eeddgewwewegxweigd?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13400 (base 5) to base 10\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = -3. Let p(u) = -42*u. Is p(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11422?\nAnswer: 2, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 + 3*d**2 + 26*d - 5. Let b(n) = 12*n**3 - 5*n**2 - 53*n + 9. What is 3*b(m) + 5*z(m)?\nAnswer: m**3 - 29*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Is 200 - -3*(2 - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343039.\nAnswer: 83, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + r + 3*r + (4 - 15 + 12 - 26*r)*(0 - 5 + 2) + (3 - 2 - 3)*(-2*r - 2*r - r).\nAnswer: 90*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11659*j**3 + 24*j**2 - 190*j + 457 wrt j?\nAnswer: -69954*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:16 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 5}. What is prob of sequence cmmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6098*l - 24432. What is h(4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrurrrrrrrurrrrurrrr.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:31 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 - 2)*(-3*x - 6*x + 20 + 6*x).\nAnswer: -45*x + 300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -29*p**2 + 0 - 5\/3*p**3 - 1\/6*p**4 + 0*p. Let j(z) = z + 1. Determine -3*j(k) - q(k).\nAnswer: k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17095 divided by -5\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 416*q**7\/7 - q**4\/2 + 2*q**3\/3 - 189*q**2 - 696. What is the third derivative of r(u) wrt u?\nAnswer: 49920*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2201*z + 2189. Calculate y(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 11*s - 5. Let k be x(-11). Let z = -1 + 4. Suppose 4*v = -z - 5. Is k greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d + 3. Let k be (31\/62)\/(2\/4) - -3. Let m be ((-4)\/(-3))\/(-1*k\/6). What is a(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = l - 5*t, 4*l = t + 3. Solve 0 = 3*x - l - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-1)\/215)\/((-381)\/(-2286)*(-6)\/5)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = -8. Let a = -3 - c. Let y(w) = -3*w + 1. Let m(o) = 8*o - 3. Let h(u) = 4*m(u) + 11*y(u). Determine h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*p. Suppose -h + p = -2. Let w = -31 - -58. What is the highest common divisor of w and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5558*d**5 + 987*d**2*j**2 + d**2*j + 23239*d*j**2 - 10*d*j + 7*d wrt d.\nAnswer: -111160*d**3 + 1974*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 109991*t**2 + 9*t. Let w(i) = 4*i**2. What is m(w(o))?\nAnswer: 1759856*o**4 + 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuruurgyglgru. Give prob of sequence yuu.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 104833 = 9113. What are the prime factors of i?\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693462299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131\/15 - 26\/3. Let b = -281\/3 - -93. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 363680*i - 727380.\nAnswer: 5*(i - 2)*(i + 72738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*d**3*g**2 - 211351*d**2*g**2 + 39843*d*g**2 + 3*d*g - g**2 + 4*g + 14 wrt d?\nAnswer: -1092*d*g**2 - 422702*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x + 19*x - 21*x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 16*r**2 - 6*r + 5. Let a be w(6). Suppose -q = -0*t - 3*t + 93, -4*t = -5*q - a. Factor -4*j - 64*j**3 + j - j - t*j**2 + 0*j.\nAnswer: -4*j*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/23 - 2284*r**2 - 322978578*r\/23 + 293027342400\/23 = 0?\nAnswer: -13533, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -2424, -34, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:54 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, t: 1, f: 14, z: 1}. Give prob of sequence fs.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-530*c - 380*c + 176*c)*(-3 + 0 + 4) as p*c + u and give p.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 72908784120*l + 2355*l**4 + 4578671642736 + 3\/2*l**5 + 1478940*l**3 + 464387160*l**2 = 0.\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:00 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 5:40 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 2. Let f(n) = 14*n + 7. Let p(c) = -f(c) + 2*q(c). Determine p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 - u**2\/2 - 3*u - 15. Calculate the remainder when 32 is divided by v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 7. Let m be w(-9). Suppose -26 = -2*y - m*y + 2*f, -2*f = y + 6. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.8. Let o = 16 + -26. Let w be (8\/(-10))\/((-4)\/o). What is the smallest value in 0.3, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 492\/30*(3 + 3\/(-6)). Let w = b - 40. Let z be (w - (-894)\/(-540)) + (-2)\/(-3). Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 81. Let k(a) = -21*a + 402. Let n(z) = 24*g(z) + 5*k(z). What is the remainder when 82 is divided by n(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = -4*u, -v - 3 = -4*u + 3*u. What is the remainder when 38 is divided by -1 + v - (-31 - -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8 + 5\/(-12))\/((-15)\/180)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-30))\/(1029\/1470))\/(4\/30)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02973 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.68721kg to tonnes.\nAnswer: 0.04568721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-2\/23)*t*t)*t**5*(t**(1\/3))**42*((t\/(t\/(t*t*t**(-1\/4)*t*t)))**27)**13 assuming t is positive.\nAnswer: t**(122759\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/(-25) + -6 - 18\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/53, -0.3, -1\/5, 17, -10, 5?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.833 and 0.24.\nAnswer: 0.19992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 86 = -516. Calculate the highest common factor of r and 3182.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 5470030*m**2\/11 - 21880096*m\/11 + 21880088\/11.\nAnswer: -2*(m - 2735011)*(m - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 26*c - 16. Determine x(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8.279*1451\nAnswer: -12012.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606845 is divided by 1167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (5 - 1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9224, 14 in increasing order.\nAnswer: -9224, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*y + 611 = 0, 0 = -y + 6 - 1. Suppose 0 = -130*b + 198*b - 816. Calculate the smallest common multiple of b and k.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -51. What is the remainder when 4 is divided by (-10)\/25 - (24\/y - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057150079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101 = 4*b + 6965. Let t = b - -1218. Let o(q) = -q**2 - 7*q - 4. Let r be o(-6). Solve 6*j = j + u + 29, 2*j + t*u - r = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**2 + 2 - z**3 + 21*z - 4*z**2 - 21*z + 13*z to the form y*z**2 + l*z + f*z**3 + s and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*v**2 - 805*v - 47790 wrt v?\nAnswer: 20*v - 805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.1 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**6\/1620 - q**5\/60 + 2*q**4\/27 - 11*q**3\/6 - 3*q**2 + 137*q. Let g(o) be the second derivative of b(o). Solve g(s) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 527\/5. Let m = 11.9 + -24.3. Let x = -12 - m. Which is the nearest to -0.1? (a) 3\/2 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 191767, 191911, 192053, 192193, 192331?\n\"Answer: -d**2 + 147*d + 191621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -16. Let b(r) = -r**2 + 16*r - 2. What is the tens digit of b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41788.66mg to nanograms.\nAnswer: 41788660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0566175 to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 - 3*t. Let v be i(-6). Let m(p) be the first derivative of 3 - v*p**2 - 1 + 33*p**2 + p**3 + 75*p. Factor m(r).\nAnswer: 3*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53026991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 1\/493 (c) -11\/4 (d) -3 (e) -795 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let m(w) = -w**3 - 4*w**2 - 4*w. Let r be m(k). Let h = -9 + r. Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 3*w**4 - 4*w**4 + 0*w**3 + w**2 - w**3 to j*w**3 + i*w**2 + x*w + t*w**4 + o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 39*j**2 + 5*j + 7. Let v be h(-6). Let t be v\/(65\/(-26)*2\/30). Is (5 - 14\/3)*t\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395812830 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -6, 3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*s - s**3 + 3*s**3 + s**4 + 1 - 88*s + s**3 + 10*s**2 to u*s + h*s**2 + t + i*s**4 + v*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 758 divide 2315690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -441313201?\nAnswer: 441313201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjqmu. Give prob of picking 1 h, 1 j, and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - r + 4*r)*(-2*r - 4*r + r + (-3 - 2 - 2)*(-5*r + 2*r + r)) as a*r**2 + n*r + o and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101267354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -3984 (c) -6\/11 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 121*h - 159. Let c(v) = v**2 + 20*v - 36. Let z be c(-22). Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9227694 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 - 1. Let n be u(1). Suppose 0 = n*j - 6*j + 8. Solve 3*g - 18 = -2*i - j*i, -i + 11 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from psswweppspptw.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 13*r**3 + (-2*r**3 - 3*r**2 + 3*r**2)*(-1 - 4 + 3))*(-22 + 3*r + 22).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -16. Let u be 106 + 3 + (-3)\/z*-6. Let x(a) = 51*a**2 + 59*a**2 - u*a**2. Let d(v) = -2*v. Give x(d(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -12*k + 4*m - 20800, -k + m = -10400. Round k to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137127940.\nAnswer: 2, 5, 19, 360863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**2 + 36*n**2 - 63*n**2.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 620\/(-5) - 3\/(-1). Let w = h - -473. Suppose -5*f - 57 + w = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1247 and 98329691.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 0 + (76 - -30 - 74)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 3*h - 2*h. Let i = -15 + 9. Let r(x) = x**2 + x - 1. Let f(y) = -7*y**2 - 6*y + 6. Let t(a) = i*r(a) - f(a). Give m(t(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57534 - 33900. What is the greatest common factor of y and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053743769 rounded to 7 dps?\nAnswer: -0.0005374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, 1, -2\/11, 2\/7, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/12070 and -137\/41713920?\nAnswer: 41713920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wamuuuku. What is prob of sequence am?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:09 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001163 to 6 decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4600 - -23301. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019108 rounded to seven decimal places?\nAnswer: 0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10756\/(-5798) + 24504\/13273.\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/419 + 848\/2095. Let x(z) = z**2 - z - 2. Let i be x(3). Suppose -27 = -i*u - 11. Sort h, u, -1 in descending order.\nAnswer: u, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.7 + -5.6. Let k = b - -18.4. Which is smaller: k or 0.15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 25*a - 1453. What is m(58)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 + -25.73. Let q = l - 11. Let x = 34.6 + q. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-5)\/45*333*-2. Find the first derivative of -10*w - h*w**2 + 344*w**2 + 10*w - 101 wrt w.\nAnswer: 244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7))\/((-80)\/(-56))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 + z + 2. Let y(q) = 3*q**3 - 30*q**2 - 390*q - 627. Let x(l) = 3*v(l) + y(l). Factor x(b).\nAnswer: 3*(b - 23)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.71036 * -24\nAnswer: 41.04864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 51 = s + 144, 3*c + 3 = 0. Let d = -187 - s. Solve 0 = -d*i - i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (330\/(-4))\/11*(152\/(-40) + 3). Solve -r - 5*v = 0, -v = 4*r - 13 - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 476013.\nAnswer: -1\/476013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -360534 (base 8) in base 3?\nAnswer: -20021001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjhepra. What is prob of sequence pj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 449235 divided by -89847?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1016)\/508*1*-6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 27250*b**2 - 1375*b + 1375. Let p(r) = -119*r**2 + 6*r - 6. Determine 1375*p(s) + 6*w(s).\nAnswer: -125*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 101*y + 513. What is c(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1698\/1142423 or -1?\nAnswer: 1698\/1142423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043385, -1043353, -1043297, -1043217, -1043113, -1042985, -1042833?\nAnswer: -1042657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 639*i**3\/2 - 156*i**2 + 33*i\/2.\nAnswer: 3*i*(3*i - 1)*(71*i - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 + 5*k - 2. Let v be o(-4). What is the highest common divisor of v and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:50 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 1, z: 3, m: 1, p: 1}. What is prob of sequence wazp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 336000?\nAnswer: 336000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g - 18*g = -28*g + 61*g + 1092 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b**4 + 16*b**3 - b**2 - 781*b wrt b?\nAnswer: -480*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, 2.16, 4\/9, -2\/17.\nAnswer: -2, -2\/17, 4\/9, 2, 2.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 2 + -6 + 3. Let t be (-3)\/o*-2 + -1. Let x = -7 - -12. Solve 0 = -x*j - t + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 333\/37*8\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 422759*t**2 - 5*t + 1. Is h(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most 13\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1211, -1250, -1287, -1322, -1355?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 + x**2 + 5*x + 3. Let s(y) = 2*y**2 - y**2 - 3*y**3 + 2*y**3 + y. Let j(h) = -n(h) + 3*s(h). Suppose -35 = 5*k - 20. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37280\/(-18174) - (-2)\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647842 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/60)\/((-2)\/10). Suppose -18 = -m + 4*v, 7*m - 28 = x*m - v. Solve -m = 8*i - 13*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35013\/47 - -745. Which is the nearest to -0.1? (a) 0.1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 36 = -h. Let s(k) = -k - 1. Calculate the least common multiple of s(h) and 2\/(-6) + 43\/3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30821 + 157317\/5. Let y = -640 + z. Factor 4*l - 6\/5 - 24\/5*l**2 + y*l**3 - 2\/5*l**4.\nAnswer: -2*(l - 3)*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q + 68*q - 52 = 0. Let x(f) = 2*f**3 - 2*f**2 - 3*f - 2. Calculate the remainder when x(3) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 - z + 9. Let l be x(4). What is the biggest value in 3\/4, l, -2\/7, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -804287?\nAnswer: -804283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/2740411?\nAnswer: 15\/2740411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - 34. Find the common denominator of -31\/3 and 4 + ((-21)\/n - 74\/(-20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(44)\/(-5*sqrt(11))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2634*m - 18. Let k(p) = 3950*p + 25. What is 5*k(x) + 7*t(x)?\nAnswer: 1312*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/323?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 20. Which is the third biggest value? (a) 0.2 (b) 7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307804091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 - 6*z + 17. Give a(-5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 * -184.09\nAnswer: -69.9542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 652, 960?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -916052*s**3 + 1804*s**2 + 1165*s - 11?\nAnswer: -5496312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from mymymmyyyyyylay.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37316 by 18658.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 45*t + 6*t - 2*t - 125.\nAnswer: -50*t - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -485 = -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 263*t**2 + 23*t - 3. Let d(v) = -v + 1. Let g(b) = 6*d(b) + j(b). What is the second derivative of g(s) wrt s?\nAnswer: 526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 52*x - 171*x + 24*x - 93*x.\nAnswer: -179*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p + 8. Suppose 5*a - 99 = -p*a. What is the least common multiple of a and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -2, 71, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 11*m - 10*m - 5, -14 = 3*s - 2*m. Which is the second biggest value? (a) -1\/6 (b) -1\/7 (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 148 - 148 + 8*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -26*1500\/(-42) + (-8)\/14 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 91)\/(32\/(-256)). What is the highest common factor of 288 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*h**3 - 61 - 32 - 8.\nAnswer: -152*h**3 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*c**2 - 3*c + 60*c**2 + 6 - 28*c**2)*(2*c + 5*c - 3*c).\nAnswer: 12*c**3 - 12*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179782 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1030, 1045, 1060, 1075?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*y = 191*y. Suppose 2*g + 20 = 7*g. Solve g*o + 11 + 5 = 5*x, y = -4*o + 2*x - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*m, 4*m - 4*o - 17 = -m. Is m > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.8 - 58. What is the closest to 1\/3 in 2, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*t**3 + 161*t**3 - 58*t**2 + 31*t**2 + 27*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 2 + (-6*(-1 + sqrt(539)))**2).\nAnswer: -504*sqrt(11) + 19447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4916814 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + m**3 + m**3 + (4*m + m - 4*m)*(-2*m**2 + 3 - 3) + (-76 + 76 - 15*m)*(3*m**2 + 35*m - 35*m).\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*v = -43, 5*u - 2*u = v + 77. Let o = 239 + -194. What is the greatest common factor of u and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-28) - (-11)\/(-77). Let r = 1049\/3 - 357. Let w = -7 - r. Sort w, 6\/11, d.\nAnswer: w, d, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9135 - 0.0265. Let j = x - -3.24. Let l = -0.1 - -0.6. Which is the fourth smallest value? (a) j (b) 5 (c) -1\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 1794 = -11*q. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-4 - -1). Let d = 6 + -6. Let o(t) = -3 + d - 2*t + 5 - 3. Calculate o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1263*k**6\/10 + 1333*k**3\/3 - 7379*k. What is the second derivative of b(n) wrt n?\nAnswer: 45468*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2722086 * 0.6\nAnswer: 1633251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pswswpbk. What is prob of picking 1 w, 1 b, and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/2 - 4*x**3\/3 + 3*x**2 + 16*x - 64. List the prime factors of d(6).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*u**3 - 16*u**3 - 3*u**2 - 5*u**2 + 110*u**3 - 27*u**2 wrt u.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*s - 10614 = -23*s. Calculate the remainder when s is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let o(k) = 7*k - 28. Calculate o(z) + 3*r(z).\nAnswer: 4*z - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487 divided by 64911.\nAnswer: 487\/64911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:09 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egia when four letters picked without replacement from qqgqegxgqixxxqiai?\nAnswer: 3\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 665.2906 days?\nAnswer: 958018.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + 358*r**2 - 976*r - 146. Determine s(-122).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 4865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 24*v + 159. Let o be p(16). Solve -7*g + 4 = -o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 5.07. Let y(d) = -d + 1. Let l be y(2). What is the closest to l in 0.1, 2, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 1. Let d be f(-5). Let y(o) be the second derivative of 1\/5*o**2 + 2*o + 0 + 0*o**3 - 1\/30*o**d. Find q, given that y(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5\/18*z**4 + 4\/27*z**3 + 0*z + 2 + 0*z**2. Factor l(p).\nAnswer: 2*p**2*(5*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3, -n = 5*o + 2*n - 189. What is the highest common divisor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 5*n - 5*c, 0 = 5*n - 4*c - 463 + 91. Let q(u) = 0 + 1 + 2*u + 2. Calculate the remainder when n is divided by q(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + l + 4*l)*(-1258*l + 1 + 1258*l + 26*l**2) to c*l**2 + s + b*l**3 + f*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let u(z) = -49328*z - 23. What is o(u(t))?\nAnswer: -49328*t - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -468.6131 to one dp.\nAnswer: -468.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*b**2 - 605*b**2 + 4*b + 289*b**2.\nAnswer: -72*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s**2 - 10149*s + 10149*s - 64*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**8\/3360 - d**5\/120 - d**4\/8 + d**2. Let h(t) be the second derivative of w(t). Find the first derivative of h(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897116 is divided by 898?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*y**2 - 5*y**2 + y - 314*y**2 as j*y**2 + v*y + i and give j.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*c + 17749 - 2601 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 1. Let b(a) = -3*a. Let z(s) = 4*b(s) - 5*h(s). Let l(j) = 2*j - 6. Let y be l(3). Suppose y = -q + 6 - 0. What is z(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1020 and 43\/336.\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from hudvdluo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/42, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105454306.\nAnswer: 2, 3, 71, 151, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**17)\/(c\/c**17)*(c\/(c\/((((c**(-1\/12)\/c)\/c*c)\/c)\/c*c*c*c)))\/(c\/c**13) assuming c is positive.\nAnswer: c**(563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*g**2 - 513*g**2 - 535*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/12 + 7*t**3\/6 + t**2\/2 - t. Let c(i) = 40*i + 2433. Let x be c(-61). Let f be u(x). Sort 3, 2, f, 4.\nAnswer: f, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -8*w + 2*w**3 - w**4 + 3 - 2\/5*w**5 + 4*w**2. Factor d(l).\nAnswer: -2*(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51414222 and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38437 is divided by 5773.\nAnswer: 3799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 + 0.1. Let i = b - 0.88. Round i to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 = -28*h - 19*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 135817 and 135818 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/350 and 83\/3586600.\nAnswer: 25106200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15478359.\nAnswer: 3, 13, 396881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -445.2?\nAnswer: -445.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:41 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w - 1. Let r be s(0). Let c(v) = 1. Let f(n) = 4*n - 4. Let a(t) = r*f(t) - 4*c(t). Let z(k) = 3*k**2. What is a(z(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420552135 + -3?\nAnswer: -420552142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2 = 2*j, 4*u - 6618092 + 6618091 = -u - 2*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/3 - 37\/30. Let r(y) be the second derivative of -4*y + 0 - 1\/2*y**2 - k*y**5 + 0*y**4 + 0*y**3. What is the first derivative of r(a) wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421989 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1689 + 19a?\nAnswer: -14ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -49\/6015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 5*h - 47. Let v(p) = -2*p - 1. Let x(i) = -u(i) + 6*v(i). Let y be x(3). Calculate the greatest common divisor of 74 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 4 (c) 0.5 (d) -19 (e) 43 (f) -428 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4302 + -2143. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooozqzyffr. What is prob of sequence qff?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxeeuuuueuue. Give prob of picking 3 u.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 321611720 to the nearest 1000000.\nAnswer: 322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-3570) - (-22620)\/595.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**7\/70 - m**6\/5 + 11*m**5\/10 - 3*m**4 + 9*m**3\/2 - 6*m**2. Factor s(a).\nAnswer: 3*(a - 3)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6356*l**3 + 5032*l**3 + 7644*l**3.\nAnswer: 6320*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 - 35 - (-9 + (6 - (6 - 9))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:13 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -67. Put f, 1, -8, 4 in descending order.\nAnswer: 4, 1, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 42142.\nAnswer: 168568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -25 - (-11 - 42 - -43).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 561 - 557. Solve -4*k = -5*s - 42 + 1, 2*s - 6 = -n*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 12*k - 30. Suppose b + 5*d = k*d, -4*b + d + 65 = 0. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvtvtrvvifrfiivfr. What is prob of sequence ft?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -161, -230, -285, -320?\n\"Answer: x**3 - 2*x**2 - 78*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273541 - 273538. What is y in -12\/7*y + 12\/7 + 3\/7*y**o - 3\/7*y**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 + 0*n**3 + 0*n - n**2 - 1\/24*n**4. Let k(u) = -38*u**2. Determine k(b(y)).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 - z + 3. Give p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 10. Let v be b(-5). Sort -3, v, -1 in descending order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/19, -4\/3, -3?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddddjjd. Give prob of sequence djdd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/12125 and -71\/3?\nAnswer: 36375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.047.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 132. Let p(g) = 1. Give -k(d) - 6*p(d).\nAnswer: -3*d + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**8\/84 - 4*w**7\/105 - w**6\/30 + 2*w**5\/15 - 15*w**2\/2 - 7. Let a(g) be the second derivative of m(g). Solve a(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 726*r + 90356.\nAnswer: -2*(r - 461)*(r + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*w + 34, 2*m + 4 - 29 = -5*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/21 - (-84)\/9. Let m(j) = j - 7. Let k be m(t). Solve k*o = 3*z + 16, 0 = 4*o - 9*o - 2*z - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r. Let c(i) = 854 + 6*i - 854. Calculate u(c(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -15, 8, 27?\n\"Answer: -2*v**2 + 33*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7380 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*r + 8*r + 4*r + (r + 1 + r - 2)*(-4 + 0 + 5).\nAnswer: 39*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464400 by 8.\nAnswer: -58050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 1 + 2*c**4 + 3*c**4 wrt c?\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.61 - -7. Let j = 0.27 + -0.46. Let n = z + j. Which is the third biggest value? (a) -0.03 (b) n (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*n + 21, 2*n + 0*n + 3*k + 7 = 0. Let b be (14 - 12)\/(1*2). Sort n, b, -3 in ascending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**2\/2 + 1. Let s(k) = 5*k + 19*k - 25*k. Calculate x(s(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 752108782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(2\/15)\/((d\/((d\/(d\/d**4*d))\/d)*d)\/(d*d\/(d*d*(d\/(d*d**(1\/8)))\/d)*d))*(d**(2\/13)*(d*d**(-4)\/d)\/d)**(1\/10) assuming d is positive.\nAnswer: d**(2611\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from mydxh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-2\/3)*y)\/y)\/y)**(7\/3))**(-24\/7) assuming y is positive.\nAnswer: y**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3559596 rounded to the nearest one thousand?\nAnswer: -3560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 911.2794601 to two dps.\nAnswer: 911.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49651 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(1008) - sqrt(1008) - (sqrt(42)\/(sqrt(12)\/sqrt(2)) + -4))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12.056633*-0.07\nAnswer: 0.84396431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9084 by 6150.\nAnswer: 1514\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70190942?\nAnswer: 2, 67, 83, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d - h + 1, -3*d + 13 = -4*h. Suppose -d*l - 21 = -3*x, x + 9*l - 8*l - 13 = 0. Solve 4*z - 2*c + 10 = 0, c - x = z - 2*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9.3. Let n = 10 + -17. Let h = n - -6.7. Which is the second biggest value? (a) 1\/3 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1086\/(-70047) - (-13031)\/129.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**4 - 38*j**3 + 388*j**2 - 27025348 with respect to j.\nAnswer: -20*j**3 - 114*j**2 + 776*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 102247 (base 8) to base 16\nAnswer: 84a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(16\/6). Sort 5, s, 0.6 in descending order.\nAnswer: 5, 0.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6432 = 2*r, -2*b + 4*r + 413 + 6001 = 0. What is the hundreds digit of (-714)\/b + ((-15380)\/18)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {s: 8, w: 7, j: 3}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (585\/18)\/((-1)\/(-2)). Let a = c - -7. What is the greatest common factor of 48 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/l)**(-18\/7)*l**(-1\/2)\/l**(1\/4))**4 assuming l is positive.\nAnswer: l**(111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157225.\nAnswer: 5, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 - l**4\/24 + l**3\/6 + 28*l**2. Let o(t) = -9*t**3 + 7*t - 5. Determine -6*a(x) - o(x).\nAnswer: 3*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181980 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -245, -491, -737?\n\"Answer: -246*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/53)\/j**(-6\/5)*(j**(-3))**(-17) assuming j is positive.\nAnswer: j**(13843\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*((2*w + 0*w - 6*w)*(3 + 0 - 2) - 5*w + 3*w + 0*w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1\/4, 2\/13, -285?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358224?\nAnswer: 2, 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 4 + 2 + 262*y + 130*y + 4 as s + t*y and give t.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23678 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 186\/9 - 8\/12. What is the greatest common factor of d and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -18. Suppose 4 = -2*j + w, 4*j + d - 3 = 3*w. What is the remainder when 58 is divided by ((-60)\/(-9))\/(j\/(-6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 + 4*b - 1. Let o be u(-3). Let y(p) = -14*p + 9. Let n be y(4). Let m = n + o. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36\/49 + 38\/147. Let x = j - -1\/7. Put x, -5, -0.1 in ascending order.\nAnswer: -5, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pffp when four letters picked without replacement from ffppfp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2073, 4\/3, 4?\nAnswer: -2073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 81210 = 45162. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j + 83*j - 6*j - 10*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*i + 2, -6*i + 4*i = g + 16. Let c be (-3)\/((-9)\/i)*-2. Suppose 0*n - 5*n - 17 = 3*y, -c*n = 4*y + 12. Sort y, -0.3, -1\/9 in increasing order.\nAnswer: -0.3, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/24 - p**5\/3 - 145*p**4\/24 - 20*p**3 - 41*p**2. Suppose i(j) = 0. Calculate j.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + l = -353, 4*l + 75 = 2*t - 629. Let f = t + -243. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*k**5 - 8\/7*k**2 + 0 - 16\/7*k + 10\/7*k**4 + 12\/7*k**3.\nAnswer: 2*k*(k - 1)*(k + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/50468367 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - sqrt(187)*-2*1)\/(sqrt(539) - -3*sqrt(539) - sqrt(11)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + v + 1462 = 6*y, -y + 466 = 5*v. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 41247365*y + 41247370 = 0. Calculate y.\nAnswer: -8249474, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*y + 161, 0 = 2*k - 2*y - y - 107. Let a = k - 49. Find the third derivative of 3*i**2 + 5*i**6 + 6*i**a - 23*i**6 + 23*i**2 wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 870167393 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -47*a**5\/20 + a**4\/3 - 16*a**3\/3 - a**2\/2 + 25*a. Let s be o(13). Round s to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 - 5 - 9*y**3 + 2*y + 0*y + 10*y**3 - 8*y. Calculate a(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z + 11. Let x(n) = 8*n + 5. Let b = 101 + -93. Suppose b*r = -8*r - 96. What is r*f(w) + 13*x(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 746800994 + -1711667850761\/2292. Let d = j - 110\/191. Let m = -6\/521 - 56537\/21882. What is the common denominator of d and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 a when four letters picked without replacement from {z: 1, x: 5, a: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9513641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**6\/6 - 31*o**5\/60 + 5*o**4\/4 + 7*o**3\/18 - o**2 - 5*o. Determine g so that n(g) = 0.\nAnswer: -3, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.02 - 5. Let p = 2 + -2.32. Let o = p + y. Which is the second smallest value? (a) -0.5 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3, -3*m + 2*d = d - 3. Let y be ((-3)\/(-5))\/(12\/80). Sort -1, 3, m, y in ascending order.\nAnswer: -1, m, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1, 3, -4 in decreasing order.\nAnswer: 3, 1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*d = 1257*d + 36 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 3*j**3\/2 + 84*j + 8. Let t(v) = -444*v. Determine z(t(m)).\nAnswer: -3996*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-6)\/2)\/21). Solve z*f + 0*f**3 - f - 3*f - 3*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3552708 (base 12) to base 5\nAnswer: -10114412024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -3, 2, 5, -503 in ascending order.\nAnswer: -503, -11, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1517*n = 1533*n - 19584. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*o = 2*o - 6, -2*o = -2*h. Suppose -2*p + h = -2. Suppose -3*k + 64 = p*m, 2*k + 119 = 4*m - 9. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/(-966))\/(4\/((-16)\/3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*1 - 2. Let x be (w - 0) + (-2 - -5). Suppose x*t = 10 + 12. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-36))\/((-25)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/96 + ((-5)\/28)\/1. Which is the third biggest value? (a) 1 (b) -2\/35 (c) g (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-2*-4 - (2*sqrt(70) - sqrt(70))*-5)*6)\/((2*sqrt(40)\/sqrt(4) + (sqrt(10) - 5*2*sqrt(10)))*5).\nAnswer: -78*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111902568 by 5.\nAnswer: -111902568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 0*n + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {h: 1, s: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*m = -65, -13*u + 1913*m - 1 = 1917*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 45*m - 22. Let b be f(44). Solve 7*o + 36 - b = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -16*w + 200. Let y be j(12). Let i(n) = 5*n**3 + 3*n**2 + 4*n - 3. Let b(g) = 14*g**3 + 8*g**2 + 11*g - 8. Calculate y*i(v) - 3*b(v).\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -39*r + 98771. Let s(d) = -10*d**2. What is a(s(l))?\nAnswer: 390*l**2 + 98771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/5, -84, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18184.1521 - 18183. Round p to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 12. Suppose -f*u + 4*u = 0. Solve u = y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-f + f + 2*f)*(3 - 3 - f) + 2*f**2 + 0*f**2 - 4 - 4*f**2)*(-37 - 28*f + 37) to r*f + p*f**2 + j*f**3 + y and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 18 = -x. Let o(c) = c**3 - 2*c**2 - c + 2. What is the least common multiple of x and o(3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271705292 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: What is prob of picking 1 b and 2 y when three letters picked without replacement from {b: 4, y: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:29 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -901, -1353?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/7)\/((-21)\/(-147))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d28 - 244?\nAnswer: -306c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 21*q - 396. Suppose 0 = -5*n - 138 - 7. Calculate the remainder when 88 is divided by n\/(-2) - (-11)\/q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 196*p - 1401. What is v(14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519001 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 51, 82, 115, 150?\n\"Answer: l**2 + 26*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 3, -56.9, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 f when three letters picked without replacement from {o: 3, x: 6, f: 8}.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -205, -3, 1 in descending order.\nAnswer: 5, 1, 0, -3, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49234484569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256499 = 100*x - 1260499 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 - 5. Suppose -12 = -c*l, 1 = 2*r - 3*l + 6. Find the second derivative of 5*k - r*k**2 + 0*k - 3*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(-4 + ((1 + (0 + sqrt(13) - sqrt(13)))**2 - sqrt(13)))*-6.\nAnswer: -36*sqrt(13) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/3)\/((-11)\/((-1540)\/(-240)) - (-116)\/84).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -542 - -782. What is i rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/4 + 183*a**3\/4 + 12243*a**2\/4 - 12423*a\/4 = 0 for a.\nAnswer: -41, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a4b64 (base 14) to base 8\nAnswer: -1410104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-6) + 12)*6\/(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 11*h**2 + 10*h - 7. Let o be l(11). Suppose n = -n - s + 57, -3*n + 2*s = -o. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3366*x - 3370*x + 21 = 3*v, 23*x + 2*v - 75 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/10 + 126\/(-210) + 1*16676 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 12*q - 176\/7.\nAnswer: 2*(q - 2)*(q + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/3 + 10*s**3\/9 - 2*s**2\/9.\nAnswer: 2*s**2*(s + 1)*(6*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m. Let s be 8\/(-8) + (1 - -1). Suppose 6 + 2 = -2*r + 3*a, 5*r + 2*a = -s. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 76*h - 282 = 190. Calculate the greatest common divisor of 88 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j + q = -40*j - 10298, 4*j + 3*q - 13709 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 246 + -203. What is the third biggest value in o, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(128)*-2 + sqrt(128) - ((sqrt(128)*-1 + sqrt(128))*2)**2) + sqrt(128) + 3*-1*sqrt(128) + ((1 + sqrt(128))*4)**2)*1*-2.\nAnswer: -4122 - 464*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/7 - 2*t**3 + 23*t**2\/7 + 2*t - 24\/7 = 0. Calculate t.\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -7, -8, -9, -10, -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 41*s - 1. Let l(z) = 24*z - 55. Give a(l(c)).\nAnswer: 984*c - 2256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/367, 0.017, -13.\nAnswer: -13, 6\/367, 0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/8 + 8*t**3\/3 - 81*t**2. Calculate j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = 955833 + 295823. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*y = -347*y - 25, 3*t + 6*y = -21. What is the closest to -3\/2 in t, 10, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(147) + 0)**2 + sqrt(147))*4 - (2 + (sqrt(147)*-1)**2)) + 2 + 0)*6.\nAnswer: 168*sqrt(3) + 2650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3017*d + 60 - 63 - 3010*d + 6045*d.\nAnswer: 18*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let f be y(11). Let a(l) = -l**2 - 4*l + 3. Let p be a(-3). Let q = -4 + p. Calculate the highest common divisor of q and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11) + 233\/11. Let k(i) = -6*i**2 + i**2 + 17 + 6*i**2 + o*i. Let f be k(-20). What is the nearest to 1 in f, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {a: 3, q: 1, v: 5, p: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7442956.\nAnswer: 2, 43, 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-6094))\/((-27)\/(-18303)). Let g = 2\/61129 + 51157\/304789194. Let h = g - u. Find the common denominator of h and -7\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980000 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - o - 23. Let f(u) = -2*u**2 - 24. Let m(w) = 4*f(w) - 3*g(w). Let p be m(-7). Solve -p = -2*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -102?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 100. Let l be 2\/9 + (-2)\/(-72). Let g = -1.95 - 0.05. What is the closest to v in g, 4, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6673 + 24354. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10315385*z**2 + 78*z - 23782?\nAnswer: 20630770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -44. Suppose 8 = 32*m - b*m. Sort 1, m, -5.\nAnswer: -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166363201?\nAnswer: 173, 961637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7618 = -h, -74*h = -72*h + 4*d - 15194. List the prime factors of h.\nAnswer: 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-40))\/((-6)\/2). Suppose 5*o + k = -2*k + 69461, l = o + 2*k - 13888. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = -5*k - 155 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5712 divided by 1428\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255133124, -255133132, -255133142, -255133154, -255133168, -255133184, -255133202?\nAnswer: -255133222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -11\/7 and 231259.51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53706884 by -16.\nAnswer: -13426721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4 - 4)*(1 + 2 - 4)*(-458 + 20 - 21 - 1152).\nAnswer: -6444*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0 + 9*j**2 + 0*j**3 + 0*j + 1\/6*j**5 + 3\/8*j**4. What is the second derivative of i(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 52, 73, 102, 139?\n\"Answer: 4*t**2 + t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007128307373 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from pirnrnknnppknnirp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Which is the third smallest value? (a) -0.4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(891)*1 + 5)*4.\nAnswer: 24 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzllrlqqloyozzz. Give prob of picking 1 o, 1 z, and 1 l.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -133. Let q be (h - (-52)\/8)*-2. Solve q = r, -4*r + 5 + 3 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3128 and 213992.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:56 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 3. Let v(j) = -j**2 + 11*j - 11. Calculate -6*v(m) + 22*x(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 1\/360*j**6 - 2 - j**3 + 0*j**4 - 1\/120*j**5 + 0*j**2 + 0*j. Let t(b) be the third derivative of p(b). Solve t(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/76 and 99\/20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(396) + -2)*1.\nAnswer: -2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58017024 and 3223168.\nAnswer: 58017024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1179)\/45 + (-4446)\/(-171).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486\/441 - (-14)\/147*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhtwt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21410, 21408, 21406, 21404, 21402, 21400?\nAnswer: 21398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*d = 7*d + 2, 5*p = -4*d + 1. Let i be 18\/(-7)*(-35)\/p. Calculate the highest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)*2 - -2. Suppose -4*a + 0*a = -72. Calculate the remainder when 78\/a - b\/(-6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1188497*j**2*t**2 - 391568*j**2 + 2*j - 1 wrt t?\nAnswer: -2376994*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**5\/2 + 19*n**4\/2 + 15*n**3\/2 + n**2\/2 - n.\nAnswer: n*(n + 1)**3*(7*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:35 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14525, 29049, 43573, 58097, 72621, 87145?\nAnswer: 101669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/725 and -93\/1250.\nAnswer: 36250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3650 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-12)\/v*v\/v**(-2\/25)*v*(v*v**(-16))\/v**(-3\/11) assuming v is positive.\nAnswer: v**(-6778\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvvi when four letters picked without replacement from vvinvnn.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9399658?\nAnswer: 2, 197, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 2*q - 5. Let i(g) = g**2 + g + 4. Let j(l) = 4*a(l) + 5*i(l). Calculate the remainder when j(5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*n**2 + 508*n**3 - 2*n**5 - 508*n**3 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*l + 523*l - 39968 = -1289*l + 20224 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacggcagggc. What is prob of picking 3 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 517*u - 305 + 2*u**2 - 517*u + 150.\nAnswer: 2*u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Let j(t) = -2*t**2 + 14*t - 14. Let x be j(5). Suppose 5*v - 14 - x = -2*y, 4*v = 5*y + 49. Which is the nearest to m? (a) 4 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.9819 tonnes in grams?\nAnswer: 705981900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q - 3*q - 3 + q + 7*q. Let l(r) = r**2 + 5*r - 4. Let y(n) = -4*l(n) + 5*w(n). Give y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, k: 2, v: 1, t: 5}. Give prob of picking 1 t, 1 c, and 1 g.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1292\/95 + (377\/155 - 2).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39c62c9 (base 13) in base 5?\nAnswer: 14123202411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46639 times 0.2\nAnswer: 9327.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 175*l**3 + 6*l**2. Let b(u) = 52323*u**3 + 1793*u**2. Calculate 6*b(r) - 1793*q(r).\nAnswer: 163*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 - 4 + 4*g**2 + 10*g + 3 + 26*g**2. Let t be h(-7). Let p = t - 19953\/16. What is the common denominator of p and 19\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4846 - 4822. Let j be 2*1\/2*-1. Let g = j - -10. Calculate the remainder when u is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349439.\nAnswer: 23, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -199775 times -0.2\nAnswer: 39955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (111*a - 6*a + 2*a + (2*a - 6*a + a)*(4 - 2 - 1))*(-1 - 3 + 2) as t*a + l and give t.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 114 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + -341. Let x = 1259\/8 + c. Let h = -70382 - -70386. Sort -3, 3\/2, h, x.\nAnswer: -3, x, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:00 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = -2*g, -13 = 2*g - k + 8. Let s(j) = -49383*j**2 - 2*j + 5. Let q be s(g). Round q to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 4719288?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9319 + -9315. Which is the third smallest value? (a) 5 (b) f (c) -10 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24994 (base 11) to base 16\nAnswer: -8bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980*p - 240 = 977*p. What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 129*n - 63*n + 5 = 61*n, -4*g = -5*n - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.12 + -0.88. Let b = q + 60.943. What is b rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 6, -1 in decreasing order.\nAnswer: 27, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20537946 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 565*o**2 - o**3 - 565*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4854115.\nAnswer: 5, 7, 331, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 67, 102?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*b = 23 - 19, -3*t - 2*b - 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4650258 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*l + 13, 480 - 467 = 3*w + 2*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 + 0.5?\nAnswer: -617.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3025 weeks in seconds?\nAnswer: 5626152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -687 (b) 0.4 (c) -1\/2 (d) -2\/3 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.8 - 8.5. Let s = 7.29936 - t. What is s rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 42*t - 67. Let a be i(-40). Solve 4*m + a = -m - 2*s, 2*s = 3*m + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -2. Let f = -139779 - -139778. Which is the nearest to f? (a) 0.1 (b) o (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3199b (base 12) to base 16.\nAnswer: ff47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 - u**4 + 434058*u**3 - 2369135*u**2 wrt u?\nAnswer: -120*u**3 - 24*u + 2604348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -0.06 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = 1. Let s be y\/(-18) + 46\/6. What is the greatest common factor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 1. Let i(p) = -6*p - 3. Suppose 4*t = t + 6. Suppose 2*w = -a + 2, -5*w = -2*a - t - 3. Let l(u) = w*i(u) + 2*r(u). What is l(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 113282, -95, 0.2?\nAnswer: 113282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n - 17. Let w be k(6). Let y = 59 - w. Calculate the lowest common multiple of y and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 332510+-1126\nAnswer: 331384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 5. Let l be t(7). Let z be 4 + 0*(-3)\/l. Solve -3*w + w + z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, 4, 0.02, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369 + 307. Suppose -6*z + b = -1274. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwp when four letters picked without replacement from {w: 5, p: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + (1675736\/434)\/29.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*g - 0*g - 5*v, v = 3*g - 2. What is the first derivative of 12*o**2 - 9 - 15*o**2 + 9*o**g wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 22, -67 in decreasing order.\nAnswer: 22, -0.1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j**6 + 0*j**4 + 3 + 0*j + 0*j**5 - 1\/3*j**3 + 0*j**2 + 1\/7*j**7. What is the third derivative of s(p) wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45597 or 45598?\nAnswer: 45598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*x - x**3 - 21*x + (-x**3 - 3*x**3 + x**3)*(-5 + 1 + 3) in the form w*x**3 + q + r*x + a*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 0) - 2. Solve -24 = -11*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1789 - 1789. Solve -k - 4*k - 2*c + 9 = t, -2*c = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**3 + 5\/6*w**4 - 7\/15*w**6 + 0 + 0*w**5 + 7*w + 0*w**2. Find the third derivative of d(r) wrt r.\nAnswer: -336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((195\/(-13))\/225)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104b - -2a237?\nAnswer: 291b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -2 + -5 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u - 16. Suppose 6*i - 2*i = u, -4*r - 5*i = -1. Let g = r - -13. Calculate the smallest common multiple of g and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*(3 - 2). Let c be 5*2\/2 + -1. Suppose -2*q + c = -6. Sort 0, g, q in decreasing order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0197 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*b + 155 = 46, 167 = 3*q + 5*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 0. Let s be (-5)\/(-2) - 9\/18. Suppose -2*n + s*l = -4, 1 = n + 5*l - 1. Solve -z + 5 = x, 0*r - 13 = n*r - 3*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 39 in ascending order.\nAnswer: -2, 13, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5\/4)\/((-537)\/(-1432)). Which is the nearest to s? (a) -136\/3 (b) 4 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4\/(-3))*58\/(-580).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 363 + -307. Suppose -190 = -18*s + j*s. Let g(f) = 7*f**2 - 2*f + 2. Let t(d) = -14*d**2 + 5*d - 5. Give s*g(y) - 2*t(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-12)\/(-15)*83510\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5987.342 seconds?\nAnswer: 5987342000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/1 + 2 + -5. Suppose 5 = -5*r + 5*g, 0 = 2*r + 3*g + 8 - 21. Suppose -3*a = -8 + r. Solve a + w = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5536)\/(-28) - 6\/(-21). Let j be ((-2)\/(-2))\/(3\/x). Let u = j - 29. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16307.6895 nanoseconds?\nAnswer: 0.00000000018874640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.026 - -2.066. Let y = 1.21 - r. What is y rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 6*z + 10*z - 5*z - 10*z + 16 + 6*z.\nAnswer: -3*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9*r = -8. Solve -4*n - 2*t = 3*t - 16, r*n = t - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 42 = -3*y - 3 + 5 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22508586*t**3 + 14966150*t wrt t.\nAnswer: -135051516*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 478, 490, 502?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133632126, 133632101, 133632066, 133632015, 133631942, 133631841, 133631706, 133631531?\nAnswer: 133631310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304815 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2. Let f(d) = -22*d**3 + 3*d**2 + 1. Give 3*c(l) + f(l).\nAnswer: -19*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from {b: 5, o: 4, x: 1, h: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 39. Suppose 2*r + 4*p = 148, y = 4*p - 13. What is the tens digit of ((-30)\/8)\/((-3)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/6 + 490*i. Let l(n) = -2*n - 69. What is m(l(p))?\nAnswer: -2*p - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1991 - -1991.1. Which is the third smallest value? (a) 0 (b) -0.4 (c) -4 (d) -0.03 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - k = -3*k - 32, -5*k + 85 = 5*w. Suppose 5*t + 4*y + 29 = 0, -5*y + 21 = -5*t - y. Let z = 21 + t. What is the least common multiple of z and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158857, -158986, -159151, -159370, -159661, -160042, -160531?\nAnswer: -161146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 635.\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 365938878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050218631 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 2. Let n be v(7). What are the prime factors of ((-228)\/n + 1)*-48?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 2*o, 4*u + 4*o - 17 - 15 = 0. Suppose 0 = 4*j + 18 - 6. Let q be (36\/j)\/(-3) - 1. Solve -u*g + q*g - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose -q*b = -3*s - 9, 2*b + 3*s + 8 = -1. Sort -5, 1, b.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:46 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36277 - -69397899\/1913. Let p = b + -19116\/13391. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.3, -30 in ascending order.\nAnswer: -30, -0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 95 + 1c?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*i, -i = -3*i + 2*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1371\/15 + 4\/(-10). Suppose j - 2*m + 3*m - 17 = 0, 5*j + 2*m - p = 0. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = 79*k - 5*k - 202. Calculate the least common multiple of 2502 and k.\nAnswer: 17514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 4578 = -349*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and -57039 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 5. Let i be u(10). Let c(n) = 4*n + 3. Let d be c(-5). Does 2 divide 2\/(-5) + d\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 3*p - 244. Let o(u) = -10*u**2. Determine k(o(f)).\nAnswer: 200*f**4 - 30*f**2 - 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/10 + 3)\/(6\/(-160)). Let i(t) = 50*t + 259. List the prime factors of i(p).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 + m - 1. Let s(j) = 7*j**3 - 3*j + 11. Let l(w) = -6*o(w) - s(w). Let d = 24 + -16. What is the remainder when d is divided by l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 + 4*u. Let y be r(5). Let k(s) be the third derivative of s**4\/24 + s**3\/6 + 76*s**2. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*m + 24, -21 = 4*q - 5. Suppose 0 = -c + 4*k - 22 + m, 0 = 5*c - 2*k. What is the smallest common multiple of 116 and c?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 4. Let j = 1 + o. Let w be (-2)\/(-11) + (-3344)\/(-242). Solve 3*u - w = 2*r, 5*u + j - 11 = -r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 29. Let y be ((-5)\/v)\/((-3)\/9). Solve o = y*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6163067 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (-2*sqrt(5760) - sqrt(5760))\/sqrt(288))**2.\nAnswer: 12*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71706.928102 + -71707. Let b = -0.017 + -0.055. Let d = b - o. Round d to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(1\/(-42)). Suppose 0 = -2*m - m. Suppose m*i = -3*i + r. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 7*i - 6. Let f be x(5). Suppose -4*l + 5*p = -13, 14 = 5*l - 4*p - 0. Solve -h = -f + l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 1917 = -145*c. Solve x = 5*r + 25, 0 = c*x - 13*x + r + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 + 9*u + 7. Let w be r(-4). Let c = w - -47. Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4880517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f = -78. Let g = f + -59. Let h = 42 - g. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. Suppose 2 + a = u. Suppose 23 = 4*x + u. Sort 2, x, 1 in decreasing order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**2 + 52*x + 431. Give v(-7).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 18. Suppose 3*l + 3*k + 31 = 5*k, -2*l - 12 = 3*k. What is the hundreds digit of i\/(l + 4)*-61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/39 + 4\/(-26). Suppose 2*q + 21 = 3*z, -3*z + a*q + 30 = -5*q. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -69. Suppose 0 = 2*v + 4 - 2. Let m(o) = -6*o**3 - o**2. Let a be m(v). What is the greatest common divisor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from gtgtttggggg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142020 and 111249.\nAnswer: 6674940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g**5\/7 + 812136*g**4\/7 - 2707744*g**3\/7 - 19131988*g**2\/7 - 1675966*g - 270732 = 0 for g.\nAnswer: -45122, -3, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324.9 + -315.8945. Let k = m - 9. Round k to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*i + 2533 + 14705 = 0 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-464)\/(-112) - (-2 + 7))*-14. Calculate the highest common divisor of 4116 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -28. What are the prime factors of m\/((-20)\/8) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47598.1978 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3426809241 to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 + z**2 - z - 4. Let w be g(-3). Suppose -w*s + 217*s = -84. Calculate the least common multiple of 18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5013, 2\/9, 8, -76, -4.\nAnswer: -5013, -76, -4, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1657 - -1817. Which is bigger: n or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 496307475 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: Sort 1\/6, -2\/457157, 0.0842 in decreasing order.\nAnswer: 1\/6, 0.0842, -2\/457157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5298 divided by 2?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 45682 = 12*d - 5*t, 3*d - 7*t - 45586 = 0. What are the prime factors of d?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1042, -1040, -1040, -1042?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*q**2 + 113*q**3 - 295*q**2 - 115*q**3.\nAnswer: -2*q**2*(q + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, d: 1, f: 1, m: 1}. What is prob of picking 1 m and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -127*l - 202*l + 169*l - 204*l - 194*l. Let i(j) = 18*j. Give -4*a(o) - 126*i(o).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 6*c - 3. Let j be x(2). Suppose -53 + j = p. Let v = -43 - p. Solve -8 = -s - v*q, -4*q + 12 + 0 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 2*q**4 - 1461 + 0*q**2 + 2931 - 2*q - 1468 to the form i*q**4 + d*q**3 + g + c*q**2 + r*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*9\/96*8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11861? (a) 5 (b) -3 (c) -2\/11 (d) -0.5 (e) -2 (f) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 728, 724, 738, 776, 844, 948?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -224432273.218055.\nAnswer: -224432273.418055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2430 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.679376.\nAnswer: -1.0717504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.13 (c) -5 (d) 3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31962779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 260 - 214 + 338. Solve -142 + 86 = -y*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1 + 3 - 2 - v - 7. Let a be j(-6). Let k(u) = 4*u. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3\/6 - v**2\/2 - 32*v + 32. Let y(w) be the first derivative of h(w). What is y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 434 + -431. Solve -4*h + 0*h - x*a - 1 = 0, 0 = -h + 4*a - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -4 (b) 24 (c) 6\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -24*x**2 - 2*x + 5. Calculate b(-3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4 + 0 + sqrt(162))**2 + sqrt(162)*2*2 - (sqrt(162) - 1*sqrt(162)*2)*6).\nAnswer: -1068 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13131359 is divided by 160.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 6759?\nAnswer: 54072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5)*6*(-25)\/180. Put x, 3, -3\/4, 4\/5 in increasing order.\nAnswer: -3\/4, x, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 748 divided by -11\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:10 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/36 + (-21)\/28. Sort -1, 0.1, -4, g.\nAnswer: -4, -1, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(63)*3 - (sqrt(875)\/sqrt(5) + sqrt(7)) - ((sqrt(252) - (sqrt(252) - 2*sqrt(252))*2) + sqrt(252)*-2 + -3)**2)*-2.\nAnswer: -78*sqrt(7) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let x = 41 + m. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let m(v) = -v**3 - v**2 + v - 1. Let d be m(-3). Let j(q) = -55*q**2 + d*q**2 - 4*q**2. Determine j(y(o)).\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 0 - (-5 + sqrt(475))) + 2)**2 + ((-6*(sqrt(76) - (sqrt(76) - (sqrt(76) + -3)) - sqrt(76)) - sqrt(76)) + sqrt(76))**2*-4.\nAnswer: -1228 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 33. Suppose -4*h + 12 = -52. Calculate the highest common divisor of h and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2 - (-4071)\/118?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -914*h**3 + 207*h + 1.\nAnswer: -5484*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 81*n + 5295. Give m(-65).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -7*w**6\/3 + 7*w**3\/3 - 9. Find the third derivative of b(n) wrt n.\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 736154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59671, -119989, -180311, -240637, -300967, -361301, -421639?\n\"Answer: -2*h**2 - 60312*h + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(-1*sqrt(162)*-2 + sqrt(162) + 5 + (sqrt(22) - (sqrt(22) - sqrt(198)*2))\/sqrt(396)))**2.\nAnswer: 1120*sqrt(2) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 + 6 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/7818984 and 97\/49176?\nAnswer: 7818984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127346? (a) 1 (b) -0.71 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 23. Suppose 0*d = d - b. Let z be (504\/27)\/(1\/d). What is the greatest common factor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) 9 (c) 30 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)\/k**(-7)*k\/(k\/k**5)*(k**(-9\/8)\/k)\/k assuming k is positive.\nAnswer: k**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - z - 9 = 0, -4 = -5*q - 5*z - 19. Let u be (-3)\/1 - (q - 2). Let o be ((-2)\/(-10))\/((-2)\/5). Are u and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -418, -905, -1576, -2425, -3446, -4633?\nAnswer: -5980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1236 divided by 309\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**3 + 125*t**3 + 48*t**3.\nAnswer: 223*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -2*f, 4*r = -2*f + 2. Let w(z) = -r*z + 3*z - 4*z + 5 + 2*z. Calculate the lowest common multiple of 6 and w(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0*j**6 + 7\/2*j**5 + 0*j**7 + 0 + 0*j - 10*j**2 + 0*j**3 + 55\/336*j**8 + 1\/12*j**4. Find the third derivative of l(r) wrt r.\nAnswer: 3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 7*v + 4*v**2 - 8*v + 2*v.\nAnswer: -v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1*(-2)\/(-2)))\/(159\/371).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26967996 by 13483998.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -702*n**5 + 29*n**3 + 1941*n - 7 wrt n.\nAnswer: -14040*n**3 + 174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 5, 0.2, 1295, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((288\/(-18))\/16)\/(-2*26\/(-4))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.08 (c) -4 (d) 51\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35222142 by 5870357.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 143 + -145 + -29 + 3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19315, 19304, 19279, 19234, 19163?\n\"Answer: -w**3 - w**2 - w + 19318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302201324100 + 0?\nAnswer: -302201324100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.9 - -20.9. Let p = k - -101.17. Let b = -18.07 + p. What is b rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 2 + 5 + 4 - 7*m**3. Let p be 5\/((-7 + (-156)\/(-48))*(-2)\/9). Let f(t) = 13*t**3 + 4*t - 13. Give p*f(g) + 11*s(g).\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -61, 0, 3, -3 in ascending order.\nAnswer: -61, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 172?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3)*q)\/(q*q\/((q**(3\/4)\/q)\/q)*q))**(-25))**1 assuming q is positive.\nAnswer: q**(775\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58335467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 389 in ascending order.\nAnswer: -5, 0, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 1\/4, 2\/13?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:52 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 + 5*d + 10. Let i be 6\/5*(-3 + -2). What are the prime factors of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:14 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*o = -424*o - 447 - 2773 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9948.46 decades?\nAnswer: 99.4846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73304.7462 nanoseconds in weeks?\nAnswer: 0.0000000001212049375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2\/3*s**4 + 0 + 2\/3*s**3 + 0*s**2 + 0*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, -4, -5 in increasing order.\nAnswer: -5, -4, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**2 - 14. Suppose -3*y = -5 + 2. Let i(q) = -y + 5*q**2 - 7*q**2 + 4. Determine 3*d(n) + 14*i(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -1\/18*i**4 + 6*i + 8 - 1\/9*i**2 + 1\/9*i**3 + 1\/90*i**5. Let d(c) be the first derivative of v(c). Factor d(b).\nAnswer: 2*(b - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168154301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.17002587\nAnswer: -0.085012935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2244*i - 64. Let z(r) = -28*r + 2. What is o(z(j))?\nAnswer: -62832*j + 4424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3122379 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2 + c - 23. Let t(r) = 13*r**2 + 2*r + 23. Let w(n) = 6*j(n) + 5*t(n). Determine w(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 + 2450*h**3 + 1585144*h**2 + 102280158*h + 292640247 = 0. Calculate h.\nAnswer: -1189, -69, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.463 rounded to the nearest integer?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 2. Suppose j = 5, 2*a - 298 = -5*j - g. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9647\nAnswer: -9654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 25 = -6*g + 5*i, 0 = -5*g - i + 7. Suppose 8*j - 68 = -4. Solve g*l + j = -4*z, -4*l + 1 - 6 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1806 = -5*k + w, 3*k - 1080 = 3*w. Suppose y - 121 + 4 = -3*c, 3*y = -4*c + k. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5652?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*x + 277. Let r = x - -138. Suppose 3*z = -3*b + 141, z + 3*z - r = 3*b. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26365974?\nAnswer: 2, 3, 67, 65587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*o - 5*s, 0*o - 1 = 2*o + s. Suppose 6*g - g - 24 = -3*u, 0 = 3*u + 2*g - 15. What is the remainder when u is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169201910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -45\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 191156423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15459 greater than or equal to -15459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 381286*s**2\/7 - 18228485872*s\/7 - 5344273262840\/7.\nAnswer: -2*(s + 295)*(s + 95174)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5034930*k + 1147 = -5034967*k for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.1 - 1.1. Let y = j - 7. Which is the nearest to -1\/2? (a) 0.4 (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -25.4. Let c = 27 - v. Let n = 10.4 + c. Are n and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 8159223 + 8159223.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2275 and 11137490.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*17 - 0\/1. Let l be t\/36 - (-7)\/(-28). Suppose 1 = 3*y - 2. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-21)\/(-6)) + 9. Let x be (-2)\/(2 - 0)*55. Let i be x\/(-15) - (-2)\/6. Solve -i*n + u = 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a + 17. Let i be w(6). Suppose 73 = -2*g - i. Let r = 156 + g. Does 33 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-56) - -1)*-2. Let r be ((-2)\/6 + 1)\/(-4). Which is the third biggest value? (a) o (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 22 = -4*d - 27 + 54, 31*d + 280 = 5*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 33*i**2 + 7*i - 1. Determine v(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27218 (base 9) to base 8\nAnswer: 43744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 6*a - 1. Let v(s) = 4*s**2 - 31*s + 5. Let i(w) = -11*p(w) - 2*v(w). Suppose 8 = 2*g - 4*r, -r - 10 = 2*g + 2. Is i(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.812\nAnswer: 1.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 100. Solve -3*u = -s - 3, 5*s - x = u + 2*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 2*o**2 - 5. Let v = -31298 + 31302. Let z(w) = -w**3 - 2*w**2 + w + 4. Give v*p(x) + 5*z(x).\nAnswer: 3*x**3 - 2*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82950a + 5?\nAnswer: -829505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*m - 30114 = -2366 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3 + 0*b + 5*b + 4*b. Suppose -15 = -5*x + 5*g, -x - g + 0*g + 13 = 0. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-15 - -1) + (-17 - (2 - 5))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -5*c. Let b = 8 - c. Suppose 0 = -j + 4*t + 99, b*t + 63 = -3*j + 275. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -393\/5. Let o = 4 + -2. Suppose 5*y + 3*r + 32 = 0, -4*r = 7*y - o*y + 36. Which is the biggest value? (a) w (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527796 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 517207561 to the power of 1\/2, to the nearest integer?\nAnswer: 22742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8 (b) -62 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2120, 4624, 7128?\n\"Answer: 2504*p - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53336\/200010)\/((-41)\/(-15)).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 9, g: 3, y: 5, w: 2}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 57*w + 566. Let q be u(-10). Which is the nearest to 32.6? (a) 1\/3 (b) 4 (c) 0 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 1 + 1. Suppose -2*a + l = -21, 0 + 10 = d*l. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -2100?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -10710165.\nAnswer: -2\/10710165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -198 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -177992 (base 10) to base 7\nAnswer: -1340633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -763*b*o*t**3 + 6*b*t**4 - b*t**2 - 4*b*t - 8*b - 22*o*t**4 - 3*o*t**2 + 5*o*t - 3*t**2 wrt t?\nAnswer: -4578*b*o + 144*b*t - 528*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81.0325 - 81. Round n to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**3 - 4*v**2 + 7*v + 4. Let r be w(-7). Let k be r*(-1871*1 - (-4 - -8)). What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -3 - (-4 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -24*b + 350. Let a be p(11). Solve 9 = -11*k + a for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 148860, 596269, 1341950, 2385903, 3728128, 5368625, 7307394?\n\"Answer: 149136*a**2 + a - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/47719 and 51\/8?\nAnswer: 381752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42925, 85849, 128775, 171703?\nAnswer: 214633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7437*p*t**4 - 1109*p*t**3 + 6*p*t**2 + 773*p - t**4 + t**2 + 29*t - 1 wrt t.\nAnswer: 178488*p*t - 6654*p - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -43 (c) -655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.74 - -2.74. Sort 6, -2\/7, 2, l in descending order.\nAnswer: 6, 2, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/30, -1\/12 in ascending order.\nAnswer: -8, -1\/12, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 12*r**3 + 588103*r**2 - 588100*r**2.\nAnswer: 8*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(136)*2)\/(sqrt(8) + sqrt(8)*3*3))**2.\nAnswer: -6*sqrt(17)\/5 + 242\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:48 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 4*b. Suppose o = b*o. Suppose -3*z - 5*p + 13 + 8 = o, 2*z - 3*p - 14 = 0. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 186*b - 34. List the prime factors of n(7).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 294 = -3*k. Suppose 8*y + 75 + 141 = 0. Let j(p) = -p**2 - 29*p - 42. Let x be j(y). Calculate the highest common factor of x and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5335.\nAnswer: 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/126 and 33\/(-630)*(-1320)\/48?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61.8 - 47. Let m = t - 14.973. What is m rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(28) + sqrt(84)\/sqrt(3))) + sqrt(21)\/sqrt(27))**2 + 5.\nAnswer: 493\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**3 - o**2 - 48*o - 3. Let w(n) = n**3 - 1. Let s(h) = u(h) - 5*w(h). Find the second derivative of s(c) wrt c.\nAnswer: 66*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**3 + s**2)*(-6*s - s + 3*s + 0 + s + 0 + (-3*s - s + 3*s)*(2 - 5 + 1) + 0*s + 3*s - 4*s + 5*s - s - 3*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**8\/336 + d**7\/21 - 4*d**6\/15 + 19*d**5\/30 - 5*d**4\/8 + 2*d**2 + 2498*d. Find z, given that w(z) = 0.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 21*b**2 + 13*b**2 + 6 + b**2 + b. Let m be p(-2). Suppose 5*s - 7*h + 215 = -2*h, 4*s + m = -3*h. Is s < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:03 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-2) - (3 - 4). Let u = 6 + l. Suppose u = n - 2. What is the lowest common multiple of 4 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716730 divided by -30?\nAnswer: 23891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 5, h: 5, o: 1, y: 4, v: 1}. Give prob of sequence ko.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -25*x**4\/66 + 490*x**3\/11 - 21609*x**2\/11 + 856*x. Factor k(o).\nAnswer: -2*(5*o - 147)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + 6*q - 4. Let c be 182 - (0 + -7 + 2). Let n = -192 + c. Give s(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 6187 - 5959 = 0 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)\/(1\/(-2)). Suppose -4396 = -u*y + 5*n - 6*n, -4*y = -n - 8804. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2322322 (base 4) to base 10.\nAnswer: -11962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 22. Let j = q - 8. Solve -3*y = j*f - 9, 2 = y + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.35105049 and 0.4.\nAnswer: -0.95105049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40\/(-3)*(-126)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m - 2. Let r be g(6). Let p be (r\/4)\/5 - (-3)\/2. Suppose -3 = -2*s + 2*q - 9, -p*q = -10. Calculate the lowest common multiple of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3099, 6195, 9291, 12387, 15483, 18579?\nAnswer: 21675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -3. Let f = -103 - -108. Let b(k) = -12 + 9 - 4*k + f*k. Give b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/(-45) + 8\/18. Suppose -6 = -l*u + 2*b, -6*b + 5*b = -2*u + 6. Sort u, -43, 1.\nAnswer: -43, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2. Let g(d) = -d + 3. Let w(k) = -3*g(k) + 4*z(k). Let t(x) = x + 8. Let f be t(-3). What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(8\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2559526.2 microseconds?\nAnswer: 0.04265877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:05 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3554 - 1883. What are the prime factors of k?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g + 40. Let j(d) = d + 8. Let s be j(g). Solve s = -h + 2*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(-9)*c*c*c*c))*c\/(c*c**(1\/3)\/c)*(c\/(((c*c**1)\/c)\/c))**(-38) assuming c is positive.\nAnswer: c**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9410672 divided by -8\nAnswer: -1176334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 5*o**2 + 7*o + 5. Let a be w(-6). Suppose 5*z - 15 = -0. Suppose -12 = n + 4*y, -2*n + z = -5*n - y. Put -4, n, a in decreasing order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2705040068\/442 + (2\/(-13))\/1. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 63 + 7. Let y = -1441 + 1535. What is the remainder when y is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -992 - -995. Let v = 3 + -3. Let t = 0.3 + 0.2. Sort v, s, t in increasing order.\nAnswer: v, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = -12. Let l be ((-3)\/(-2))\/((-3)\/p). Differentiate 0 + c + l*c - 1 - 1 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -7*y**5\/20 + 3*y**4\/4 - 67*y**3\/6 - 17*y**2\/2 + y - 443. What is the second derivative of a(q) wrt q?\nAnswer: -42*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + 95*v + 2. Give y(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 623 - 620. Suppose -342 = -3*k - 4*u, 9*k + v*u = 5*k + 449. What is the least common multiple of 90 and k?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71285.0994 - 4.\nAnswer: -71289.0994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 155c?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j + 52*j - a - 9 = 0, 3*a = -4*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386735 = -5*v - r - 370341, 0 = 2*r + 2. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12 - 9.4?\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 111. Let q be -20*((-10)\/4 - -2). Find the common denominator of l and ((-18)\/q)\/(3\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 + 7*p**2 - 35*p - 14. What is the remainder when 22 is divided by y(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 37. Let t = s - -39. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**2 + 3*x + 3. Let r(o) = 17*o**2 - 5*o - 5. Determine -3*r(p) - 5*z(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 18. Find the second derivative of 3*v + 0*v**2 - g*v - v**2 - v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42466.4kg?\nAnswer: 42466400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 42. Suppose -4*c - 2*l - j = 0, -3*c + 5 - 21 = -l. Calculate the common denominator of 11\/14 and (-625)\/(-20)*4\/c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 6738201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 7. Let s be z(-6). Suppose 0*x + s*x - 30 = 0. What is the third derivative of k**4 - 7*k**2 + x*k**2 + 2*k**4 wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/30)\/(28\/(-70))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -32*n + 556. Let c be h(18). Let z(j) = -j**3 - 19*j**2 + 15*j - 1. Give z(c).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 8. Let s be b(-6). Let f be (-1 + -34)*s\/5*1. Let y = 235 + -123. What is the highest common factor of f and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vivi when four letters picked without replacement from iivviiiiiivvvi?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 27 = -19*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 + 28 = -4*j, -j - 16 = -3*t. Let v be j\/(-10) + (-32)\/(-20). Let c be (-2 - (0 - 0)) + v. Solve d + 0 + 3 = c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 72.\nAnswer: 35\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206 + 73?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 22*m + 361. Calculate l(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 10, -2, 29 in ascending order.\nAnswer: -3, -2, 1, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooud when four letters picked without replacement from ooouuuuuuuduuo?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a second in milliseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 4}. What is prob of sequence ddll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 212, 428, 644, 860, 1076, 1292?\n\"Answer: 216*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46485.62 rounded to the nearest one hundred?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*z - 10, -z + 59 = 3*q. Calculate the greatest common factor of q and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-32))\/(574\/576 - 1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -546 - -712. Suppose -69 = -5*n + 3*c, 4*c = n - 2*n. Calculate the remainder when g is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d + 116*d - 338 - 19 = 0. Suppose -3*s = -2*o - 2*s - 27, 0 = -o + 3*s - 16. Let w = o + d. Solve 3*t + t = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -39*t**7\/70 - t**5\/30 - 7*t**3 - 48*t**2. What is the third derivative of l(h) wrt h?\nAnswer: -2808*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 1 + 3*g**3 + 3*g**3 + 0 as h*g**2 + y*g**3 + q + l*g and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237947*w + 1237948*w + 16 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsdgslosslod. What is prob of picking 1 d and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10703*s = 10656*s - 1504 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b**2 + 74*b**2 + 2*b**2)*(2*b + 2 - 2)*(2 + 0 - 5)*(0 + 2*b**2 + 0).\nAnswer: -732*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x + 11*x + 14*x**2 + 30*x + 43*x.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 15*i**2 - 13*i - 6. Determine n(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719089?\nAnswer: 11, 557, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1283820 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + 60\/14. Let f be 15\/(-6) - (-2)\/j. Let y = f - -8. Solve -2*p = -y*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1890)\/36855 + ((-248)\/(-1911))\/2?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*b = -1811, 371 = n - 16*b + 19*b. Let p = -90 - -123. Calculate the remainder when n is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6311 + -6309. Is v < -0.927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 248\/9 (b) -1\/3 (c) -2 (d) 17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 + 21*a + 2. Let t be z(7). Suppose -2*x + 3*b = -23, -t*x - b - 11 = -46. What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 38*b**2 - 37*b + 12. Give g(37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -5*h + 5*v, -3*v + 0*v + 6 = 0. Let o be (-200)\/6*h\/(-24). Let r be (1*-3)\/(9\/o). What is r rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6, -w - 13 = 2*d + 9. Suppose -s - 123 = -4*s. Let k = s + w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g - 141*g + 27*g.\nAnswer: -137*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*u - 9 = 0, -108 = -2*d - 2*u - 98 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 26 + 56 - 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**6*c**(-1\/13))\/((((((c*c\/(c**0\/c)*c)\/c)\/c)\/c)\/c)\/(c*c**(-3\/4)\/c)))**(-21))**(-6) assuming c is positive.\nAnswer: c**(16947\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 3\/(-5) - 8579\/(-115). Let n be (-30)\/x*(-29 - 1). Suppose -6*h = -156 - n. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -21, -0.06, -81?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*g + 5*x, 4*g - 19 = -x - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3990 or 55879\/14?\nAnswer: 3990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9517187, -19034402, -28551617?\n\"Answer: -9517215*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2 + -8) - (-3)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(119)*5 + -4*-2*sqrt(119) + sqrt(119))\/(((sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*-2))*-5)\/((sqrt(11) + -2*sqrt(11))*2)))**2.\nAnswer: 78608\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -5*o**7\/7 + 11*o**4\/4 + 5*o**3 + o**2\/2 - 154. Find the third derivative of l(s) wrt s.\nAnswer: -600*s**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/13)*i)\/i**0)\/((i\/(i*(i\/i**(-3))\/i))\/(i**(-2\/13)*i))*((i**(-1))**(-2\/123))**(-2\/35) assuming i is positive.\nAnswer: i**(21521\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647 - 698920*r - 647.\nAnswer: -698920*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152835 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u**(-1\/3))**(-4\/31) assuming u is positive.\nAnswer: u**(76\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3536 times -0.2\nAnswer: 707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l + 2*s, -3*l = -3*s - s + 2. Let m be 1*(-3 + (6 - (0 - l))). Let z(a) = a - 2. Let h be z(2). Is m at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124402 (base 11) to base 9\nAnswer: -328046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 54*p**2 + 85*p**3 - 2 - 173*p**3 + 89*p**3 as n*p + i*p**2 + q*p**3 + z*p**4 + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3131014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and -170883981.\nAnswer: -170883993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1447 in 2\/7, -3, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 75 = -8*f. Let k be 14 + (1 - 4) + f. Solve 0 = -4*n - 4*u - 28, -k*n = -3*u + 19 - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130655 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 731488 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -10254554413?\nAnswer: 10254554405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -6. Which is the biggest value? (a) -4 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Suppose 7 = 3*v + 1. Let z be f(v). Suppose -u + 30 = z*u. Solve u = -2*t - 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -322*h**4 + 133*h**4 + 80*h**4 + (-4 - 3 + 5)*(h**4 - 4*h**4 + 4*h**4) to j*h**4 + y*h**2 + i + w*h + m*h**3 and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1105 (base 6) to base 5\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -50. Suppose -2*d - 4*b = 3*d - 4, 2*d + 4*b = -q. Solve d*s = 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 0*p**2 - p**3 - 5*p**2.\nAnswer: 2*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 101110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5*u**2 - m**3*u**2 - m*u**2 + 363*u**2 wrt m?\nAnswer: 60*m**3*u**2 - 6*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - sqrt(132)*2*-6) - (-2*sqrt(132)*-3 - sqrt(132)))\/((sqrt(300)\/(sqrt(20)\/sqrt(4) + sqrt(5)))\/(sqrt(5) + sqrt(20)*-4)).\nAnswer: -126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1104690 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:23 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyxp when four letters picked without replacement from oxpypxovxxxxpoypp?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 + -23) - 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((29\/((-3190)\/(-176)))\/((-2)\/(-10)))\/(-9)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, -1\/7, -0.224, 7, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3374409, 6748841, 10123273?\nAnswer: 13497705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/23 - 10\/161. What is the third smallest value in w, -2, 2.7, 0, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45 = -0*f. Let i(s) = -25*s + 19. Let r be i(-6). Let b = r - 109. What is the highest common divisor of b and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291, -1159, -2605, -4629, -7231?\n\"Answer: -289*p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 6*p. Let h(m) = 3*m**2 + 5*m + 8. Let u(w) = h(w) + l(w). Let o(d) = -2*d**2 - 2*d + 15. Calculate -3*o(x) + 5*u(x).\nAnswer: x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.056 - -0.396. Let y = 1525576 + -1525576.66000024. Let o = z - y. Round o to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 183. Calculate the greatest common factor of u and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 - 2. Let r be j(5). Let z be (-56)\/(-9) + (-10)\/45. Calculate the highest common factor of r and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5094653*u**2 - 2. Let h(z) = z**2. What is g(h(r))?\nAnswer: -5094653*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27989.8 + 27989.8250054. Let a = 1.2 - 1.225. Let c = j + a. Round c to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. Suppose o*g = 2*g + 60. Solve -2*v - 2*v + g = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 470051\/6 and 78342 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/18)\/n)**(-1\/7) assuming n is positive.\nAnswer: n**(1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)\/t*t)\/(t**(-9)*t))\/(((t**3\/t)\/t)\/t**(1\/11)) assuming t is positive.\nAnswer: t**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 142503032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3 + -1)*-3. Is -1\/6 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b*i**3*l**2 - 31*b*i**2 + 67*b*i*l**2 - 15*b + 3*i**3 - 2*l**2 - 21*l wrt i.\nAnswer: 120*b*i*l**2 - 62*b + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264854?\nAnswer: 2, 3, 210809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27831726185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*v + 232 + 8132 = 0, -8392 = -5*c + 3*v. Suppose -3*d + 4*k + 30 = -1, -4*d = 5*k. Suppose -d*g = 411 - c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6231143998 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6423 by 664.\nAnswer: -6423\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 68*c**2 + 6*c + 241. Is a(64) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3 - 60*t**2 + 62*t = 0?\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 3}. Give prob of sequence ufu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*x**3 - 15*x**4 + 1 + x - 4 + 1 + 149*x**3 as v*x**4 + n*x**2 + j*x + o*x**3 + u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 288207 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: Let y(i) = i**3 - i**2 + 2*i + 5. Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/34308568 and 95\/806.\nAnswer: 446011384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 4d197?\nAnswer: -4d1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:19 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:44 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8929\/(((-22)\/11)\/(-2)).\nAnswer: 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -962a1 (base 11) in base 13?\nAnswer: -4ba07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 343*x**2 - 177*x + 1089. What is h(172)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290106 to the power of 1\/2, to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -13 + 26 - -27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 106, 4, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4108451968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 s when four letters picked without replacement from {s: 14, l: 2, j: 1}.\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -5*x. Is (-2 - x)*2456\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 5582\nAnswer: 502.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 632713976 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 20, 0.16, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -365. Suppose 7*s - 42 = n. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*k = -0*u - 158, 194 = -3*u - 5*k. Is 2*1\/(-4)*u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2076155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k - 36 = -45 - 565 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -588 in -4, -0.2, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -229*t - 2*t**2 + 7*t**2 + 218*t + 21. Let y(v) = 3*v**3 - 6*v**2 + 12*v - 21. Let w(c) = 6*j(c) + 5*y(c). Find the first derivative of w(z) wrt z.\nAnswer: 45*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 6 (b) 0.3 (c) -136 (d) -2\/41 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93904342.\nAnswer: 2, 7, 97, 69149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -18164 + 18310. Which is the second smallest value? (a) -0.3 (b) -0.2 (c) -1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (85 - (-16 - (13 - 53)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*h - 74 = -1446*h + 4*d, 2*h = 19*d + 346 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -42447\nAnswer: 212235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3545372341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + 159. Let n = -4 + 6. What is the second derivative of -4*z**r - 2*z**n + 2 - 2 - 5*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46657*f = -46662*f + 5*w - 35, -3*w + 2*w - 65 = 5*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3 + 3\/2*c**2 + 3*c. What is the first derivative of g(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488+24.831\nAnswer: -463.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2349 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*z - 126*z - 96*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21)\/(-14) - 0 - (-12968)\/16 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 9 = -8*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3924 and -83\/72.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 34*g + 1. Suppose -4*a - 62 = 6. Let r be s(a). Solve 2*k - 6 = -3*q + 13, r = -q + 3*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 136 - 50*z**2 + 29 + 465*z**3 - 24*z**2 - 550*z**3 + 89. Find the second derivative of t(a) wrt a.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khpw when four letters picked without replacement from wkkhhwphpkh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 224721 and -708.\nAnswer: 224013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1))**(-11))**46*((s**2*s)\/s)\/(s*s\/((s**6*s)\/s)*s)*(s\/((s\/((s\/s**(-2)*s)\/s))\/s))**(-5\/4) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 154 - 70*p**2 - 8*p.\nAnswer: -70*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5*r\/((r*r*r**(-10\/3)*r)\/r)*(r**(-4))**(-25) assuming r is positive.\nAnswer: r**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j**6 - 508103*j**3 + 19442165*j**2 wrt j?\nAnswer: -960*j**3 - 3048618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)**(4\/29))**18)**(-24) assuming u is positive.\nAnswer: u**(3456\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008316.\nAnswer: 2, 3, 250693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14788483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-2 - -3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 23. Solve 4*u - 2*l - a = -u, 3*u + 3*l - 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 115 = -y, -l = -0*l + 3*y + 55. Let j = l + 58. Suppose 0 = -3*q + k + 58, q + 2*k = -j*q + 10. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -877*m**2 - 122*m - 89. Let z(h) = -125*h**2 - 17*h - 12. Calculate -2*j(v) + 15*z(v).\nAnswer: -121*v**2 - 11*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 10. Let o be x(-8). Suppose -21 = -r - o. Suppose -u - 4*q = r, -4*u = q - 0*q + 1. Calculate the least common multiple of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28049654 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:36 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6119509*v + 2 + 6119508*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 240 - 232 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -250*g - 348*g - 1378 + 195*g - 876 with respect to g.\nAnswer: -403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(1\/(-2)). Let d be (-2)\/t + 1\/(-3). Put 4, 5, d in decreasing order.\nAnswer: 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764 = -3*g - 1494 + 757 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/27160?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741.3831 meters to kilometers.\nAnswer: 0.7413831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*n + 50, -8*b + 4*b = -5*n + 215. Is 11\/b - (0 - (-18472)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:02 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1941*d + 2. Let f be -15*4\/(-84) + 8\/28. Is k(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 124966.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 21 + 2*k**4 + (-k**4 - 3*k**4 + 2*k**4)*(4 - 2 - 3) + 2*k**3 + 2*k**4 - 4*k**4 - k**3.\nAnswer: 2*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 11. Let k be 12 + (1 - 3) + 0. Let y be i(k). Let t be (y\/2*0)\/1. Solve -l - 3*l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**5\/20 + d**3\/6 + d**2 + 140*d. Determine j(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r + 10. Let b be a(7). Let w = 63 + b. What is the least common multiple of w and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1746 and 1692?\nAnswer: 164124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 197 - 3 = -6 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + -29b?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 145225 (base 9) to base 5\nAnswer: 10322443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -722 + 1101. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*t - 4 + 28, 4*u + 42 = 5*t. Solve 5 = -3*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -15. Let p(j) = -8*j + 4*j + 3*j + 2*j**v + 2 - 10*j**2 - 3*j**3. What are the prime factors of p(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - 2*sqrt(132)*2)\/(-4*sqrt(24)\/sqrt(2)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 10*b**3\/7 + 32*b**2\/7 - 32*b\/7 = 0.\nAnswer: -4, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 7}. What is prob of sequence cc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 28*n - 9*n + 13*n + 59*n.\nAnswer: 95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 984 = -2*r + 5*r. Let x = 472 - r. Let q = -75 + x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 56*n - 648 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101590.\nAnswer: 2, 5, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146.9172 and -0.051?\nAnswer: 7.4927772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -999*w**2 + w + 1356 wrt w.\nAnswer: -1998*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 9526107\nAnswer: -2857832.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 23. Suppose n*b - 2*p - 7 = -p, 5*b - p - 13 = 0. Let x be (-138)\/(-27) - b\/27. Solve 0 = m + 3 - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181572 and 138?\nAnswer: 4176156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 764404?\nAnswer: 6115232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -15*w + 12*w - 10, -9 = 2*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)*l*l**(-2)*l**(1\/2)\/(l*l\/l**4)*((((l*((l\/((l**1\/l)\/l))\/l)\/l)\/l)\/l)\/(l*l*l**(-4)*l))**(-9\/13) assuming l is positive.\nAnswer: l**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194240844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 71*w**2 + 82*w - 161. List the prime factors of n(72).\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 108. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1 (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heig when four letters picked without replacement from {l: 1, i: 1, e: 1, h: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 984 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 16*u + 24 = 0. What is u?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*-4 + 1. Let m be (g + -3)*1\/3. Solve m = p + 3*p - 2*u - 18, 2*p + u - 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/(5\/140). Let m = -9 - u. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 4, -5432, -4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*1*15\/(-4)*(-9112)\/(-1340)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 (base 15) in base 9?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336*q + 22181 = 3877*q for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -161?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y. Let h(u) = 3705*u + 5. What is h(r(n))?\nAnswer: 18525*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 600771\/292 - 8229\/4. Find the common denominator of 31\/8 and q.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 5*y - 3*w - 127, -10 = 5*y - 5*w. Let b(m) = m - 1. Let v(a) = -39*a - 5. What is y*v(r) + 4*b(r)?\nAnswer: 43*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*28\/12*-1. Suppose j + 40 = 3*j + 4*i, 4 = i. Let d = j + b. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*a - 1727316 = -1712928 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*z + 78. Solve 5*b - z = 8*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 3239250*d**2 - 6478491*d + 3239244 = 0.\nAnswer: 1, 1079748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-20 - -16)) + -4 - 17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*i - 16 = 0, t + 3*i - 8 = 4. Suppose h - 5*h = t. Suppose -4*b + 18 + 2 = 0. Put b, h, -4 in decreasing order.\nAnswer: b, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100011001010110 (base 2) in base 6?\nAnswer: -51554010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 81. Calculate j(13).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*z = 20, 0 = j - 6*z - 56587. List the prime factors of j.\nAnswer: 11, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 54*c + 157. Is h(35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*2 - (-6)\/3. Let l = 0 + w. Factor 2*r**3 - 4*r**3 + r**4 - 7*r**2 + 12*r - l*r.\nAnswer: r*(r - 4)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156590719 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 8 + (1 + -8 - -6) - (-19 + -13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 22*c - 22. Let o be x(20). What is o rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 0*x**3 + 8*x**2 - x**3 - 31*x.\nAnswer: -x**3 + 6*x**2 - 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 26*h + 43. What are the prime factors of a(-48)?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.11 and 12854819?\nAnswer: 12854820.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 645*x - 699*x + 3510 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:21 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -4) + (-85 - -64)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*p**3 + 152*p**3 + 146*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb8 + -81e?\nAnswer: -15d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4465*k**2 - 373*k + 1469. What is the thousands digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 17*w - 13. Let k = -121 + 103. Let i be f(k). Suppose i*a + 4*m + 0*m = 849, 5*a + 3*m - 848 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))**(-1\/3)*(v*v\/v**(-2\/23))\/v*(v*v**14*v)\/v assuming v is positive.\nAnswer: v**(1133\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 7. Let v be k(-8). Suppose 493 = 7*i - 242. What is the greatest common factor of v and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693636839*j - 8*j**2 + 693636841*j - 1387273680*j.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let x be 856454\/40 - b\/(-1). Let w = x - 21408. What is the common denominator of w and 29\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6053, -11422, -16791, -22160, -27529?\n\"Answer: -5369*j - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(392\/4312*22\/56)*5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, w: 3}. Give prob of picking 1 w and 2 d.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*d - 20 = 0, 0*d - 4*d + 8 = -2*k. Which is the third smallest value? (a) 5 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39433 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - g - 7 - 13 = 0, 5*g = -3*y - 10. Suppose 8 = y*v - 2. Solve -5*u = j - 8, 3 = v*u - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 356*i**3 + 3*i + 5*i + 1 - 7*i**2 - 355*i**3. Let l = -8 - -14. Give r(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/20*4)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 8, u: 2, a: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Suppose 2*j + 2*j = 24. Suppose y - j = 6. Let x(t) = -1 + y - t - 11. What is x(h(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -32*q + 33*q. Suppose -4*s + q*n - 17560 = 0, -s = 3*s - n + 17560. Round s to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31680*s**2 - 38*s - 100?\nAnswer: -63360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14316361 - 2?\nAnswer: -14316363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, l: 3, q: 4}. What is prob of picking 1 l and 1 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.7 + -44. Which is the third smallest value? (a) v (b) -1\/3 (c) 0.4 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8830 and -56\/1878141.\nAnswer: 18781410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 10*q**2 - 7*q - 2. Let x be j(9). Suppose -w - w - 3*p = x, -5*w = -3*p + 82. Does 11 divide (-8)\/w - 960\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.545.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -33112?\nAnswer: 33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 2010*p**4 - 304600*p**3 - 20813210*p**2 - 564770115*p - 1945054060 = 0. Calculate p.\nAnswer: -103, -89, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*g - 15, 6*d = 3*d + 4*g + 22. Suppose -26 - d = -4*v. Solve -r - 3*m + 5 + v = 0, 0 = 2*r - 5*m + 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2138 = -5*o + 3*s, 4*o - 6*o + 857 = -3*s. Calculate the highest common factor of o and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102112241 (base 5) to base 8\nAnswer: -1477732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 7*q + 48*q.\nAnswer: 53*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340043032 (base 5) in base 15?\nAnswer: 47e597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431 + 59*c + 430 - 861.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33505.3 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -16 - -19) + (7 - (-1 - 3))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**40*(g\/(g*g\/(g\/g**(1\/4))*g))\/(g\/(g**(-10)*g)) assuming g is positive.\nAnswer: g**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 + 274*i\/3 - 2765\/6.\nAnswer: (i - 5)*(i + 553)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 148*k. Let u(f) = 17 - 9 - 6 - 3*f - 2. Calculate u(q(z)).\nAnswer: 6*z**2 + 444*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -3\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-4)\/18). Let k(p) = -y - 6*p**2 + 9*p**2 + 5*p - 5*p**2. Let w(o) = -3*o**2 + 9*o - 5. Determine 5*k(b) - 3*w(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - f**3 - 2*f**3 + (2*f - 2*f**2 - 2*f)*(2*f + f - f) - 6 + 6 - f**3)*(-36*f**2 - 164*f**2 + 94*f**2).\nAnswer: 1166*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 98.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5079 is divided by 555.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 78*r + 301. Calculate g(2).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:21 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 - -0.05. Let p = x + -17. Let d be ((7 - 1) + -6)\/(-2). Is p bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185241 is divided by 186?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**4\/6 - 2*m**3 - 9*m + 13. Let h(a) be the first derivative of l(a). Find the second derivative of h(q) wrt q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 223*a**2 + 2550*a - 4214. Determine q(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725849317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -15*n**2\/2 - 6*n + 39. Suppose 2*k - 1 = -7. Is g(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:32 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = -4*v, -9 = -2*z + 5*v + 5. Calculate the common denominator of (1 + (-255)\/70)*z and 73\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 1*sqrt(76) + sqrt(76))*-4)\/sqrt(4).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37357888.999871 - 37357996. Let q = n + 107. What is q rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxewwddnxnrdee. What is prob of picking 1 d and 3 w?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*g*o - 3*f*g + 3*f*n - 39*g*n + 2*g - 26*n + 4*o wrt g?\nAnswer: f*o - 3*f - 39*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1001.1 - 1001. Suppose 3 = -3*j, 3*v + 5*j - 8 = -25. Which is the nearest to n? (a) -3\/4 (b) 1\/3 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - 9*o**3 + 15*o**3.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 17*w - 120 = 0. Let s be ((-72)\/w)\/(9\/(-30)). Let a(k) = -k**2 + 5 + 1 + 4*k + 0. Calculate a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17453.13 and -5.\nAnswer: 17448.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 30885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -3*w, -4*w = -4*l + 8. Suppose -l*m = -t - 10, -20 = -2*m - 2*m. Let j be -1 - 2 - (2 - t). Which is bigger: -3\/10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 56180. Suppose -5*u - 1814 - p = 0. Let g = -13610 - u. What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 4*z + 5. Let y(v) = 4*v**2 - 5*v - 6. Let c(m) = 3*n(m) + 2*y(m). Let i be c(3). Suppose -2*x - 2*x + 140 = i. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 5 - 1 + 1 + 2 + 2 + 2 - 3 + 0 + 3 - 6 + (0 + 3 - 1)*(1 + 1 + 1) + 1 + 0 - 3 - 2 - 3 + 6)*(-a + a + 2*a).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 27*x**2 + 23*x - 77. Calculate c(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 186\/36 - -3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*0*4\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 3422.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -11, -1\/2, -16, -0.2, 13.05, -0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/16 and -19\/241690.\nAnswer: 1933520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + -1 + (-94 - -89).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (3 - (5 + -3)) - (72 - (30 + 34))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 186559*z**2 - 3 - 186563*z**2 in the form b + h*z + w*z**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -20 + 0*n + n + n. Let m be c(19). Factor 5*d**2 - 2 - m + 14*d - 6*d + 7*d.\nAnswer: 5*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 7*v - 62. Is v != -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102580 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -123882309 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - (-7 - -3)) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 4. Let m be x(-10). Suppose 5*c - 330 = 5*n, 0*n + n + c + m = 0. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/17 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 26 = -1, 0 = 4*w + 5*h - 29. What is the remainder when 12 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0293 + 395.166.\nAnswer: 395.1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9*o = 0. Let z(r) be the second derivative of o*r**2 + 0 + 1\/3*r**4 - 1\/3*r**3 - r - 1\/10*r**5. Factor z(l).\nAnswer: -2*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -3, -0.047, 2\/5, -5?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x. Suppose -3*s + x + 9 = 0. Let r = 8 + -4. Solve r*a - d - s*d - 24 = 0, 0 = -3*a + d + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -6, -8, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.5 + -44. Let g be (7 - 14)*(-7 + -1). Suppose 0 = -3*f + 17*f - g. What is the fourth smallest value in -2, k, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3\/80 (b) 0.046 (c) 1.7 (d) -7 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22931 + -16165. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 5 (c) 2 (d) -4 (e) 2\/1363 (f) -1730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**2 + 4*s - 2. Let w(u) = 3*u**2 + 2*u. Let r(z) = -d(z) + 2*w(z). Let y(g) be the first derivative of -4*g**3\/3 + g - 1. Give -2*r(o) + 3*y(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -671? (a) 0.5 (b) -3\/5 (c) 1 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1785, 4, 1\/5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let t be (91\/(-546))\/(3\/(-126)). Which is the biggest value? (a) f (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*j**4*o + 956*j**4 + 3*j*o + 6*j + 127*o + 3 wrt j?\nAnswer: 372*j**2*o + 11472*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4) - (-130)\/(-2). Let k = 37 + b. Let q = -14 - k. Calculate the remainder when 60 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k**5*o**2 - 2*k**5*o + 3*k**2 + 8*k*o - 5*o**2 wrt k?\nAnswer: -240*k**3*o**2 - 40*k**3*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338 - -709. Let h(p) = 3*p + 71. Let f be h(-22). Suppose -k + 86 = -t, -2*k - n = -6*k - f*t. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -3 (c) 3 (d) 57 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**27))\/(c*c**(1\/4)*c)*c\/(c*c**(-27))*c*c\/(c*c**30\/c)*c assuming c is positive.\nAnswer: c**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 22*t = -11796. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q - 34*q - 79*q.\nAnswer: -187*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 5*z**2 - 16)*(4338230 - 4338230 - 657*z).\nAnswer: 3285*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 158053, 316109, 474165, 632221, 790277?\n\"Answer: 158056*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101810943 to four dps.\nAnswer: -0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446094 divided by -8261?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.666 - 78.3. Let d = -0.234 - l. Which is the nearest to 0.03? (a) -3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8302763 is divided by 96.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4663*k*y**3 - 2*k*y**2 - 2*k - 2215 wrt y.\nAnswer: 13989*k*y**2 - 4*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 divided by 46817?\nAnswer: 296\/46817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n - n**2 + 17*n + 18*n - 58*n. Let t(b) be the second derivative of -4*b + 10*b**3 - 11*b**3 + 3*b. Give t(d(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 40*b - 45*b. Let s(x) = x**3 - 4*x + 10. Let d be s(b). Let u = 95 + d. What is the second biggest value in u, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + (sqrt(700) - sqrt(28)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*m = -2285 + 305 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 758611.2 decades in months?\nAnswer: 91033344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/7)\/v)**48\/(v*v*v**1)**(-1\/14))**(-13))**(-23) assuming v is positive.\nAnswer: v**(58305\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000799959587 rounded to 7 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 16*h - 8*h as d*h + j and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + 1.7. Let z = q - -1. Which is the biggest value? (a) 0.5 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.8 (c) -3 (d) 5 (e) 2\/17 (f) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 2628909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 3*h, 7*h - 5*h = 4*u - 28. Suppose i = u*i - 623. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -716?\nAnswer: -3\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-42) - (-6)\/(-7). Suppose -5*x - 20 = -0*x. Which is the nearest to v? (a) -3 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -81*k**3 - 3*k**2 - 3*k + 4. Let t be w(-3). Let v be ((-65523)\/6)\/(15\/(-3)). Let o = t - v. Calculate the common denominator of -49\/6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 98*n**3 + n**2 + 3*n - 2. Let k(x) = 0*x + 5*x**3 + 11*x**2 - 4*x**3 + 9*x + 12 - 8*x. Let z be k(-11). What is the hundreds digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:26 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952, 3769, 8450, 14995, 23404?\nAnswer: 33677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 23*b - 49 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 + n - 2. Let k be u(2). Suppose 2*a - 2 = k*a. Let m(l) = 2*l**3 - l. Let s be m(a). Are s and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3227.5 in 4\/3, 5, -5, -1.3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*v - 8, a - 20 = -10*v + 15*v. Let i = -3 - -6. Calculate the lowest common multiple of a and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -6*g - 515. Let z = g + 0. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2610 * 0.4.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9179586740.5 less than -41?\nAnswer: 9179586699.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/28 and 13\/1528.\nAnswer: 10696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*z + 271*z + 9100 = 446*z for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 6. Let s(n) be the second derivative of -n**6\/360 + 11*n**4\/4 + 13*n. Let l(y) be the third derivative of s(y). Give l(w(u)).\nAnswer: -8*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqkqckqqkqcqkqkq. What is prob of sequence qck?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5 - 27*s**2 - 10*s + 52*s**2 - 26*s**2. What is the remainder when t(-9) is divided by (3\/(-6))\/(2\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, k: 1, j: 3, f: 1, i: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071928 to 3 decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -62 + 9 - (22 + 17)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.173 + -0.058. Let b = r - 0.19. Round b to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15030 and 77\/89671986.\nAnswer: 448359930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05186 - 0.14814. Let t be 1\/(-3) + (-14)\/(-6). Which is the smallest value? (a) t (b) -4 (c) m (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:11 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*12\/6)\/((-4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -14*s + 20*s. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2 - 2. Suppose 190 = 5*f + 5*q, 2*f - 152 = -2*f + a*q. Suppose -k + 5*l + 26 = 0, 3*k - 4*l - l - f = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11786 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r, 3*u - 2*r + 1346 = 2*u. Which is bigger: -1347 or u?\nAnswer: -1347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -4*g - 4*t, -t = 5*g + 209 - 738. Let b be ((-5)\/3)\/(7\/g). Is b equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 11*f - 16. Let t be j(-2). Let a be ((-4024)\/t)\/((-148)\/1850). What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -32 - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 39 + 63 - 24.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7502*-0.44.\nAnswer: -3300.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3 + (-72)\/(-18). Let l = 2 + -2. Solve 0*h - p*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32510 divided by -6502\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 4*p + 3. Suppose -2*q = -3*n + q + 303, 5*q = 0. Let m = n - 59. Calculate the remainder when m is divided by i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8746203 to four dps.\nAnswer: 0.8746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 19. Let s be y(-14). Suppose -8 = -4*q, s*o = 2*q - 30 + 281. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1 (c) -44 (d) -38\/5 (e) -36 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 116, 220, 342, 470, 592, 696?\n\"Answer: -2*b**3 + 27*b**2 + 7*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 3. Let u(d) be the first derivative of 3 + 2\/7*d**2 - 2\/7*d - 2\/21*d**v. Let u(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 123*g - 11 = -118*g, -3*n - g - 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l - 30. Suppose 6*g - 22 = -l. Solve 1 = 4*m - 4*f + 5, -g*f = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*g - 5*g - 5*w, 6*w = 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**3)\/j)**(30\/13) assuming j is positive.\nAnswer: j**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71716 (base 9) to base 7.\nAnswer: -254502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 + g**2 - 6*g - 1. Let p be n(-2). Let m be (-1)\/(1\/p*3). What is u in 4\/3*u + 5\/3*u**2 - u**m - 4\/3 = 0?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/32796 and -5\/216.\nAnswer: 196776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b77517 + 3?\nAnswer: -3b77514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.2528 + 19.6971.\nAnswer: -52.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) - ((573566\/(-25480))\/(-53) + 14\/91)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 10. Let q(a) = -a**3 - 3*a**2 - 2*a + 2. Let r be q(-2). Suppose 0 = j - 2*o - 5, r = j - o - 1. Put -2, j, c in descending order.\nAnswer: j, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 2844338.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-3)\/6) + -2. Calculate the common denominator of -74\/9 and 1 + 1 + 41\/u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, n: 1}. What is prob of sequence dn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o + 2*o - 3*b, 0 = -5*b - 20. Let t(m) = -m + 2. Calculate t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1745\/16 + 109. What is the common denominator of j and 3 + (-2 - -1 - -4)\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1068 and 48?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 3*r - 28 + 13, 4*x - 5*r - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 336, 458, 692, 1074, 1640?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 + 526*f**4 + 5*f**2 + 12*f wrt f.\nAnswer: -120*f**3 + 12624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - q**2 + q + 1. Let g = 3 + -1. Let d be j(g). Find the second derivative of -7 + d - 2*k + k**2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 2*r + r)*(6*r**3 + 15*r**3 + 4*r**3) to i*r**4 + z*r**3 + q + y*r**2 + w*r and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r - 3. Let q be s(2). Let x be (q\/(-10))\/((-21)\/4). Let h = 2 + -4. What is the closest to x in -5, -2\/13, h?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*m = x + 24, 5*x + 2*m + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -15, 5, 0.5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1613.8 + 1614. Are 208 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*t + 25, -12*t - 2*n = -9*t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 19*p**2\/2 + 6*p - 54.\nAnswer: (p - 2)*(p + 3)*(p + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 27 + 3 = 0. Let g be (-18)\/12*16\/(-3). Let t = g + p. Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2505364168266?\nAnswer: -2505364168266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:10 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v + 183*v - 48*v = -3077 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {n: 1, s: 6, p: 2, o: 1, e: 2, d: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(320) - 1*sqrt(320) - sqrt(320)) + -4)**2 + -3*((1*sqrt(90))\/sqrt(9))\/sqrt(2).\nAnswer: 125*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 2) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-234) + 112\/(-52).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 108?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 8 = -10*r + 5*r, r + 7 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 11}. What is prob of sequence gngn?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 2. Let y = -63 - -67. Which is the biggest value? (a) 0 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*b*r*u**3 - 4*b*r*u + b*r - 2*b*u**3 + b*u**2 - 146*b*u - u**3 wrt u.\nAnswer: -462*b*r - 12*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30530041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101111200 (base 3) to base 12.\nAnswer: 747916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/5)\/(k\/k**(-4\/3)*k))\/(k**(-1)*k**(1\/8)) assuming k is positive.\nAnswer: k**(-199\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -260, 2.\nAnswer: -260, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -f + 10, -f = -3*f + 5*r - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3762\/8 + (-1)\/4. Suppose -3*h - 120 = -2*x, -5*x - 156 + q = -4*h. What is v in -10*v - 14*v**3 + x*v**2 - 20*v + 4 - 26*v**3 = 0?\nAnswer: 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a hour in minutes?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32918 is divided by 184.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 160.14496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008133 to five dps.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15756330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30752, 245809, 829540, 1966283, 3840376, 6636157?\n\"Answer: 30723*y**3 - y**2 - y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ffqfqff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2194*l**2 + 50*l - 112*l + 63*l + 831*l**2.\nAnswer: -1363*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 1552*v**2.\nAnswer: -v**2*(v + 3104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, i: 4, o: 3, j: 2, m: 1}. What is prob of picking 1 x and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 4) + 2\/1. Let s = y + 4. Suppose 13*n - 8*m = 12*n + 25, 4*m + 8 = -4*n. Which is the nearest to n? (a) s (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*o = -156*o + 4396 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8481.951 + 8510. Let f = -0.049 + h. Let a = 28.00018 - f. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -293*j - 298. Calculate w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 2. Let g(t) = -11*t + 5. Let k be (15\/((-60)\/(-1096)))\/(-1 + 2). Let q = k + -278. What is q*g(d) - 9*x(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 1, y: 2, v: 3, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10554, 10545, 10534, 10515, 10482, 10429, 10350?\n\"Answer: -f**3 + 5*f**2 - 17*f + 10567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:37 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 3. Let l(o) = -11*o + 2. Let f(z) = -1. Let p(a) = -5*f(a) + l(a). What is 2*p(m) - 5*x(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -8\/5*c**3 - 36 - 5*c**2 + 164\/5*c + 1\/5*c**4 = 0.\nAnswer: -5, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 230. Which is bigger: y or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 2*c + 1. Let t be b(-2). Suppose -5*u + 30 = -p, u + 4*p - 2*p = 6. Suppose 9*w + 15 = u*w. Put w, 3, t in descending order.\nAnswer: 3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071682255 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - (-5)\/2. Let l = 644 - 642. Let r(f) = 7*f**o + 1 - 13*f**l - 1. Let z(c) = c. What is z(r(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -76, -148, -224, -292?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047\/4537 + (-1526)\/78 - (-15)\/(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 + 0*u**2 + 2*u**2 + 2*u + 0. Let j be 5\/((-10)\/(-4)) - -3. Suppose -1 = -4*l + j*l. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1524)\/2667)\/(6\/28). What is the second smallest value in 2\/5, 5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216986241*g**2*p**3 + 2*g*p**3 - 7*g + 3128*p**3 - 26*p - 5 wrt g.\nAnswer: -433972482*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = -5. What is the third smallest value in 3\/5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -6. Suppose 4*b - 36 = 5*z, -5*z + g*b - 38 = 5*b. List the prime factors of ((-1)\/(-5)*z)\/((-10)\/600).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - n**2 + 3*n + 18. Determine y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 388659050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:23 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -1056?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5253 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*p - 8, 43*d - 47*d - 16 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let d = 0.1800115 + -0.18. Let n = d - q. Round n to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -25 + 11 + -26 + 11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/35)\/((-1)\/((-50)\/(-20))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.151683625 to two decimal places.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250.0132 + 1.8832. What is w rounded to the nearest integer?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((40\/(-5))\/16)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615, -1216, -1797, -2352, -2875, -3360, -3801?\nAnswer: -4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 0*l - 3*l)*(5*l**3 - 14*l**3 - l**3).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2138.02339 + -2138. What is i rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3001374\/7 - -427939. Let x = u - -829. Find b such that 0 - x*b**5 + 2\/7*b**4 + 4\/7*b - 10\/7*b**2 + 6\/7*b**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57543540.\nAnswer: 2, 3, 5, 29, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2\/2 + s - 1. Let g(c) be the second derivative of c**3\/3 - c**2 + 9*c. Calculate -9*d(r) - 4*g(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 5 + 5 + (6 - 1 + 34)*(t**2 - t**2 + t**2) + t**2 + 0 + 0 + 2*t**2 + 5*t - 5*t + (-4*t + 5*t + t)*(0 - 2*t + 0) - t**2 + 2*t**2 - 2*t**2.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2639*u**2 - 13206*u + 59. Let p = -157 - -242. Suppose 5*r - p + 5 = -4*c, -5*r + 80 = -5*c. Calculate the least common multiple of r and k(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d + 1 - 5*d - 13*d. Determine i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 4*y - 7. Suppose 5*m - 5 = -5*b + 30, 4*m = 4*b + 12. Suppose -2*t - b*t - 24 = 0. Determine d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 6*y**2 - 5*y**2 - 3 + 1)*(-23*y - 19*y - 5*y)*(-6*y - 3 - 1 + 2) as k*y**2 + o*y**4 + d*y + m + r*y**3 and give k.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:07 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j - 5. Let z be w(-2). Sort z, -1, -6, -14 in descending order.\nAnswer: z, -1, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l. Let x(n) = 21*n + 20*n - 48*n. Give p(x(h)).\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let x = 4.1 + -4. Let n = x - 4.1. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2608, 5296, 7986, 10678, 13372, 16068?\n\"Answer: i**2 + 2685*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 5*x + 5*x)*(61 - 59 + 2023*x - 2466*x).\nAnswer: 886*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2763*s - 2806*s + 1032 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x - 2*x**3 + (0*x + 2*x + 0*x)*(3*x - 3*x - x**2) + 2*x**2 - 2*x**2 + 3*x**3 - 5*x**2 + 5*x**2 - x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -42, -23, 28, 123, 274?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Suppose 0 = 10*b - 50 - 0. Suppose -5*l = 2*q - 7, -q = 3*l - 0*q - b. Solve -2*p + 2*j - l = v, 2 = -p - 2*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*l - 0*l - 22, l - 2*p = -8. What is the hundreds digit of ((-8)\/(-20))\/2 + (-1408)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37455182*q*x**2 - 3*q*x + 24328*q - x wrt x?\nAnswer: 74910364*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**3 + 2*s**3 + 0 - 5*s**2 + 3 + 3*s**3 - 4*s - 2. Suppose -3*w + 6*w = -9. Calculate t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k - 8. Let m be r(-3). Let q be m\/4 + (-6 + 8)\/8. Solve -2*o - 2 = -q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 82 = -86 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32252 (base 6) to base 16.\nAnswer: -1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd6 + 2?\nAnswer: dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.5, 15\/8, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 12536*l**2 + 63 - 63 + 12536*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17804468.\nAnswer: 2, 11, 173, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93546, -374217, -841990, -1496859, -2338818?\nAnswer: -3367861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 = 7*l. Suppose 2*v - 4*b - 6 = 2, 7 = 4*v - 5*b. Sort 2, v, 0, l.\nAnswer: l, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12 + 427*p**6 - 136*p**4 + 12 + 4126*p**2 - 1259*p**2 + 138*p**4 wrt p?\nAnswer: 51240*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188552127*b - 154854035 with respect to b.\nAnswer: 188552127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 823\/495 + 2\/495. Let k = 14 - 12. Suppose -2*w - 5 = 5*g, -k*w + 0 = -5*g - 25. Which is the nearest to 0? (a) q (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let j(a) be the first derivative of 7*a**2\/2 - 8*a - 72. What is f(j(g))?\nAnswer: -14*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**8\/84 - 2*k**7\/63 + 59*k**6\/1080 + 29*k**5\/270 - 23*k**4\/216 + k**3\/27 + 5*k**2 + 804. What is q in s(q) = 0?\nAnswer: -2, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 256, 1067, 2636, 5215, 9056, 14411, 21532?\nAnswer: 30671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 2. Let d be (-66 - -59) + 0\/1 + 4. Determine u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -29, -32, -33?\n\"Answer: n**2 - 8*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-278)\/14 + 525\/2025*81. Solve 4\/7 - 2*h + 22\/7*h**3 + 10\/7*h**4 - 2*h**2 - u*h**5 = 0 for h.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4749 + -4724. Solve -30 = z*w - 19*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5098726 divided by -134177\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 4 (c) -3\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -864943 - -3?\nAnswer: -864940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35617 + 35619. Let n be 1 - 2 - 2*7. Let r = n + 2. Sort r, b, -5 in ascending order.\nAnswer: r, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17841 (b) -24\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 1796*h**2 - 394158*h + 392364 = 0.\nAnswer: 1, 378, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*p = 12, -p + 8 = -n + p. Let o be (n - 14)*(-4 - 0). Suppose 5*c = 64 + o. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(5\/((-285)\/494)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 - i**2 + 3*i + 3. Calculate z(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 66 + 4 - 40 + 66 + 72)*(26*n + 8*n + 2*n).\nAnswer: 6984*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 52*u**2 - 4*u. Let f(g) = g**3 - g**2 + g. What is 4*f(n) + y(n)?\nAnswer: 2*n**3 - 56*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5685332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 1, m: 3, n: 2, l: 1}. What is prob of sequence mjl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 6*t - 7. Let d(m) = -237*m + 3. Let c be d(-1). Suppose 0 = 5*i + c - 215. Determine w(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 66*o - 55. Determine t(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 19. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 + 8*w. Determine z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 3:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-29940620)\/(-709696))\/(-5) + 3. Let f = -1\/11089 - r. Calculate the common denominator of 4\/14 + (-447)\/70 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**3 - 39*j**3 + 24*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/78628 and -43\/142960.\nAnswer: 1572560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -133132?\nAnswer: 133200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 1228777?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.477 + 0.023. Let u = -2 - -1.5. Let t = -1.2 + 1. What is the second biggest value in v, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4 - 3*l + 2*l + 1. Suppose 2 = 4*r - 2*r. What is the remainder when r is divided by g(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3*l - 3*l)*(4*l**2 - 3*l**2 + l**2) - l**2 + l**2 + l**4 - l + l**4 + l + 8*l**2 + 5*l**4 - 8*l**2.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpppgpppgppkp. Give prob of sequence gp.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -480*i**6 - 1432*i**3 + 4*i**2 - 64431*i + 1 wrt i?\nAnswer: -57600*i**3 - 8592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1506 and 115\/14.\nAnswer: 10542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5 + -9?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 23.4, 2.763 in descending order.\nAnswer: 23.4, 2.763, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i - 3. Let t be n(-5). Solve -13*a = -16*a + t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3509*t - 4*t**3 - 3509*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 4*l**7\/21 + 7*l**6\/15 - l**5\/5 - 4*l**4\/3 - 2*l**3\/3 + l**2 + 5*l. Let v(x) = 0. Calculate x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000689766 rounded to 6 decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 7, -4\/11, -0.2, -2, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 14 + 25 + 14*q as c + j*q and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1100111?\nAnswer: -1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76188*z**5 - 152699*z wrt z?\nAnswer: -1523760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -39\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 39*g**2 - 91)*(2240 - 2240 + 32*g)*(-g - 2*g + 5*g)*(0*g - 2*g + 0*g).\nAnswer: 4992*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:08 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2441 > -2441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1, -5*x = 5*w - 2*x - 78. Suppose 6*t - w = t. Suppose -t*r + 1700000 = -r. Round r to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3817 + 3888. Suppose y + y - 24 = 0. Calculate the remainder when q is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 50 = -h. What is the smallest common multiple of h and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.56265 litres in millilitres?\nAnswer: 68562.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/963456 and -29\/44390?\nAnswer: 110797440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d - 18. Let h be ((-2)\/(-1))\/((-23)\/1449*14). Give i(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 181*k + 3210. Calculate l(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 6) to base 14.\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531.2602 nanograms to kilograms.\nAnswer: 0.0000000005312602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/23)*z\/(z\/(z*z*z**31*z*z)))\/(z**(-12\/11))**18)**(4\/31) assuming z is positive.\nAnswer: z**(56216\/7843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - -631366?\nAnswer: 631478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) -0.06 (c) 37 (d) -1\/6 (e) 1\/5 (f) 4 (g) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*l - 50 = -86, 0 = 5*m - l - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56437, -56509, -56587, -56677, -56785?\n\"Answer: -d**3 + 3*d**2 - 74*d - 56365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -19*z**2 - 791*z + 9643. Calculate n(10).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101010110000 + 1?\nAnswer: -1101101010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24280393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 7) in base 9?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9076 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((0 - -2)\/490). Let y = -240 + a. Solve 5*n + 5*d = -0*d, -y*d - 3 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25066 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/45 + 34\/(-51).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**2 + 0*y + 22 - 3\/4*y**4 - 2\/3*y**3. Find w such that f(w) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 times -13550?\nAnswer: 7357650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4077 divided by 50\nAnswer: -4077\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 4)*(0 + 0 - 1) - 1 + 4 - 1 + 0 - 4 + 2)*(0 + 0 + r**2) as y*r**2 + q*r + n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = 0, 10*l + 5*h = 9*l - 28 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/32*4 - 5. Suppose -4*m = 3*h - q, 3*h - 12 = -5*m - 2. Which is bigger: 2\/451 or h?\nAnswer: 2\/451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 7*m - 7. Let s be f(-5). Suppose 12 = s*b + 2*g - 4*g, -7 = -5*b - g. Factor 2*n**2 - n**2 - 2*n**4 + n**b.\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1 - 43987*i**2 + 43989*i**2 + 3*i - 6*i - i**3 + 4. Suppose -2*h = -7 + 3. What is o(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 8*m + 32)*(-3*m + 5*m - 3*m - 3*m).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18413\/12 - 1538. Find the common denominator of -3\/20 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:29 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14349 - 14184. What is the highest common divisor of r and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2. Let o be ((-3)\/9)\/((-2)\/36). Let m(x) = -2*x + 0*x - 3*x + o*x. What is y(m(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = p - 6*p - 5, 0 = -4*p + 2*h + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4660 - -3210. Let h = q + 702. What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 - o - 3. Let b = 18 + -15. List the prime factors of u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-10))\/(c\/(c**(-18)*c)))**(9\/2) assuming c is positive.\nAnswer: c**(-243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*u - 120, -5*l = -4*u - 48 - 148. Let p = l - 18. Calculate the smallest common multiple of 6 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22\/4*(48 + (-3 - -7)) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 5, 276, 1, -45 in decreasing order.\nAnswer: 276, 12, 5, 1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*x**3 - 7*c**3 + 107*c**2*x**2 - 7*c**2*x + 3*c + 2*x**3 - 2 wrt x.\nAnswer: 6*c**3*x + 214*c**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -9, 5, -8942, -5 in decreasing order.\nAnswer: 5, 4, 3, -5, -9, -8942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 9 + -1 + -1. Suppose -a = -2*p + 3. Suppose -p*w + 5 = -10. Solve 7*s - z = 3*s - 4, -w*s - 4*z = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-4) - (12\/(15 + 153) + (-55)\/(-14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 6*c - 3*c**2 + c - 19 + c**3. What is the tens digit of r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19440 - -9140. Round r to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73790)\/987 - -76 - (477\/63 - 8).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 14) to base 8\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146289 and 1077219?\nAnswer: 11849409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19506400 to the nearest 100000.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**3 - 4*g**3 + 2*g + 13*g**3 + 22. Let m be j(0). Suppose 8*w = -m + 46. Calculate the highest common divisor of w and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*t**2 - 4\/13 + 2\/13*t.\nAnswer: 2*(t - 1)*(t + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.6 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**3 + 0)*(2 - 4 + 4) + 5*u**2 - 5*u**2 + 2*u**3 - 4*u**2 - 8*u**2 + 2*u**3 + 4*u**2 + (8*u + 4*u + 2*u)*(-u**2 + 2*u**2 + 0*u**2).\nAnswer: 20*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 292\/243119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.299?\nAnswer: -0.1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o - 2. Let m(u) = 2*u**3 + 5*u + 5. Let t be -6 + 0\/(15\/(-3)). Calculate t*m(i) - 15*g(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((3388\/(-14245))\/44)\/(6\/(-19940))?\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 - -597. Does 55 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101748 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2 + 13*u + 21. Calculate z(-4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2422, 2635, 2848, 3061, 3274, 3487?\n\"Answer: 213*m + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-36)\/120)\/(54\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-301)\/84 + 0 + -1 and -3*(-76)\/(-16) + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 228, -56, 0.2, -79, -0.1, 1?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(36\/(-42)) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211549 and 19968.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 5. Let i = -44 + 49. What is r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.7*-14.7.\nAnswer: 201.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 13*l + 30. Let w be t(3). Let v = -7 + 11. Put 1, w, v in decreasing order.\nAnswer: v, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a388 (base 15) to base 5.\nAnswer: -2101203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-2)\/(0 - 1). Let u = p + 32. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1440, -11785, -39900, -94677, -185008, -319785?\n\"Answer: -1482*z**3 + 7*z**2 + 8*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -593, -587?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/9)*(-48)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 4)\/(2*1). Are 0.3 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**2 + 12*u - 16. Let f(k) = -3*k**2 - 4*k + 5. Let l(r) = 20*f(r) + 6*h(r). Factor l(o).\nAnswer: -4*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -2.1 (b) -2\/7 (c) -0.48 (d) -0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 986, 989, 992, 995, 998?\n\"Answer: 3*a + 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3155740019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + 0.92. What is the smallest value in k, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(42)\/sqrt(7) + (sqrt(216) - (sqrt(216) + (3*sqrt(216) - sqrt(216)))))\/(-4*(-1*sqrt(162)*6 + sqrt(162))).\nAnswer: -7*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i + 11. Let v be r(9). Suppose 0 = -3*l + 5*l + v. Let w be 77699994\/(-21) + 8\/l. What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.48 - 1. Let a = g + 0.89. Let d = a + 1.3. Round d to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 5, u: 5}. Give prob of sequence yxyy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-12) - (-211920040)\/(-120). What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1161164 divided by 2\nAnswer: 580582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4601 times -954?\nAnswer: 4389354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*u + 30*u**3 - 91*u.\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*k**2 - 1 - 18*k**2 - 42*k**2 - 2*k to b + h*k**2 + m*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486 times 7.2?\nAnswer: 39499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-49875)*75*-1*12*(-14)\/4.\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -0*t - 4*o - 13, 0 = -4*t - 3*o - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(16\/10)\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.78545 rounded to one dp?\nAnswer: -539.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-44 - -75) + -85)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45438\/7 + -7043142\/1085. Is y <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5497*g - 16499. What is a(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2) - 12\/6. Suppose -b = -k*b + 5. Suppose 218 = b*j - 82. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 253 - 288 - 6*r + r.\nAnswer: -3*r - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81160.18 minutes to seconds.\nAnswer: 4869610.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1 = b - 4*b + 31, 709*b + 5*r = 2886 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-637)\/14)*(4\/(-2))\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 + 188. Let f be 90\/200 + (-1)\/4. What is the closest to -2\/3 in f, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 - 5*v**4\/6 + 4*v**3\/3 + 2*v**2 - 27*v + 1. Give d(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1736 and 73384920?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1557 = 7*z + 1585 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = 0, 2*p - 4 = -2*x + 70. Solve -5*z - p = -23*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 + 54668*g**3\/5 - 164022*g**2\/5.\nAnswer: 2*g**2*(g - 3)*(g + 27337)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 25*w - 1. Let q be ((-18)\/(-15))\/((-4)\/(-10)). Suppose 2 = -j + 2*l, 0 = j - q*j - l + 6. Does 25 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**7\/56 - 2*v**4\/3 - v**3\/3 - 4. Let p(c) be the third derivative of m(c). Differentiate p(s) wrt s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236\/5 - -47. Put -1, 12, i in decreasing order.\nAnswer: 12, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (12\/(-15))\/((-108)\/103050) + (-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 divide 549724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29365 divided by -5873?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 1311?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/9, -1, 19, -1040.\nAnswer: -1040, -2, -1, -4\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 8*l**4 + 6*l**3 + 8*l**2 - 8*l = 0 for l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*b + 4 = 0, 0 = -28*h + 32*h - b - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p**3 + 2*p - 2. Let a be f(1). Solve -17*q + a*q = -8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 115 (b) -0.06 (c) 0.3 (d) 2 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 11 + -7 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-4) + 1*(-56)\/(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/2)*s)**(9\/2)*(s**(-1\/4))**(-48) assuming s is positive.\nAnswer: s**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 14178556.591 to the nearest 10000.\nAnswer: 14180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 < 192707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4044088793?\nAnswer: 4044088793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/12 + 4*p**3\/3 - 2*p**2 + 1179*p. Let a(h) = -h + 2. Let v be a(8). Determine l(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 799, 13, 4, -2, 32 in decreasing order.\nAnswer: 799, 32, 13, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)*-1 - (-95 + 88). Let v be (-1)\/(1\/(-24)) - -1. Solve z - k*z = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-44)\/24)*-4*9\/180.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22023 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4615 - -4614. Let f be 12\/(-75)*(-20)\/8. Which is the closest to -8? (a) f (b) o (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (12 - (-8 + 12))) + (-2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 + 1. Let v(b) = 4*b**3 - b + 2. Let w(r) = -5*k(r) + v(r). Let s be w(-5). Suppose 17 = 3*g + s. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5970 = 447*r - 288 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110*40\/(-4300) - -1?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let u(z) = 1. Let d(c) = 7*u(c) - 2*y(c). Let b(x) = x. Give 4*b(s) - d(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4197 + 3100. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44902105 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -232, -230, -228?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1758102682880*v**2 + 2371904*v - 4\/5 = 0.\nAnswer: 1\/1482440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v - f + 10, -5*v = -5*f + 5. Which is the fourth biggest value? (a) 0 (b) -2\/513 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 + 69\/230. Let l = 4\/5 - j. What is the smallest value in 2, 3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319 + -264. Is y <= 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -370, -540, -710, -880?\n\"Answer: -170*r - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3517 divided by -4097\nAnswer: -3517\/4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:05 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 753939 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.05. Let s = i + -1.68. Let j = -0.03 - s. Which is the second biggest value? (a) 0 (b) -2\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 4928*q + 652924 = 0.\nAnswer: 151, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let b be (20\/s)\/(55\/45 - 1). What is the highest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 1 + 3 - 3*s**2 + (0*s - 2*s + 0*s)*(2*s - s - 2*s) + 4*s**2 + 3*s**2 - 4*s**2.\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 20. Let m(v) = 2*v + 7. What is 6*g(j) - 17*m(j)?\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (2318\/(34 - -4) - -2).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*r**2 + 475*a*r**3 - 3*r**3 - 4*r**2 wrt a.\nAnswer: 6*a*r**2 + 475*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 4*x - 15, 5*m - 2*x + 7*x + 20 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14831.67294 milliseconds in weeks?\nAnswer: 0.00002452326875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 + (1*-4)\/2. Let d = 10 - m. Let u = d - -6. Let b(y) = -4*y - 4. Give b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s**2 + 60*s**2 - 124*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - 2*h)*(13 + 36 - 4).\nAnswer: -135*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -70.65235 and 35.\nAnswer: -35.65235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (52 + -30 + -43)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 957621.232 to the nearest 10000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - b - 4*b + 12 = 0, 2*x + b = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 735 = 49*x + 18*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22776 divided by 39\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 6. Let p(l) = -l + 3. Let c(a) = -7*p(a) + 4*t(a). Let j be 6\/(2\/(4\/(-3))). Does 6 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k. Let y(j) = 10*j + 2. Let r(p) = -6*b(p) - 4*y(p). Let f(h) = -2*h + 9. Calculate 2*f(q) + 3*r(q).\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/24)\/(6\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 3*t**3 - 2*t**3)*(12197*t - 6 + 6 + 0 - 2077*t).\nAnswer: -70840*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*l + 3*x - 8, 2*l - 30 = -5*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1044 - 1732 - 4327 - 769 - 5588 - 825)*(0*m + 5*m - 4*m).\nAnswer: -12197*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -240236*p**2 + 19*p - 5633515 wrt p?\nAnswer: -480472*p + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 42. Let i = 12 + x. Let t(c) = -4*c**3 - 3*c**2 - c - 1. Is t(i) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -2*m, -3*m - 8 - 1 = -5*w. Suppose v - 44 = -3*u, -4*v - 2*u - w*u + 155 = 0. Calculate the remainder when v is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4533 + -113?\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4425.264405 to one dp.\nAnswer: -4425.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*p - 23, 5*j + 11 - 1 = -2*p. Let r(u) = 0*u**2 - 8 - 25*u + 3 + 33*u + 4*u**2 - u**3. Calculate r(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11503100 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3090.56517343 minus -8?\nAnswer: -3082.56517343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25200)\/(-33075))\/(1\/21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 6*p**2 - 16 - 21 - 32 - 16 to h + w*p + b*p**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -13*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7772 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.025002576 - -0.025. What is u rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**3*z**3 - 72*x**3*z + 1841*x**2*z**3 + 6*x**2*z**2 wrt z?\nAnswer: -6*x**3 + 11046*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -3*g. Calculate the least common multiple of (-6)\/g*3*7 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -887.\nAnswer: 88.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.501776 to 3 dps.\nAnswer: -4.502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 3*j + 5. Let o = 2 + -4. Calculate the remainder when 10*o*22\/(-10) is divided by r(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1032643646 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -836261?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**3\/3 - u**2\/2 + 5*u. Determine q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 2}. What is prob of picking 1 a and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*y - 15*y + 504. Suppose -3*z = z + 324. Let k = y - z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 + 15*h + 82. What is m(11)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/21 + 32\/(-6). Let r(w) = -4*w + 4. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1\/12*k**2 + 0*k + 82 - 1\/9*k**3 + 1\/24*k**4. Factor u(z).\nAnswer: z*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00827238 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55733.36km in centimeters?\nAnswer: 5573336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4819 - -4821. Suppose -h = 4*h. Solve h*w + 8 = c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:51 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 21014121?\nAnswer: -21014114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1234401 (base 6) to base 13\nAnswer: -2470c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13cbb7 (base 14) to base 3.\nAnswer: 1021222012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11262815 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 531 = 149. Suppose 9*s - 13*s - 4570 = 3*k, 5*s + 5*k + 5710 = 0. Is (-1)\/(s\/v - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -15. Suppose -m = -c + 2. Let s(b) = -b**3 + b**2 + 4*b. Determine s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 + 330. Suppose 3*k = 163 + w. Suppose -4*h - 6*f = -4*f - 80, -4*h = -5*f - k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*r + 8, 5*r - 6 = -4*o + 10. Suppose r = 5*z + 1174 - 8689. List the prime factors of z.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36\/8*(-8)\/(-18) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (6 + 2 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:35 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 4. Let x be d(-6). Let o = 644 - 640. Solve 4*r + 4*m - 12 + 40 = 0, o*r = m - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 16 = 2*w, -3*k + 39 = -3*w. Let s(r) = 3 + 33*r - 19 - 22 + k. Is s(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.025 - -14. Let j = 0 + a. Let k = -0.056 + j. What is k rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 + 1. Let n be q(2). Let m = 2.9 + 1.1. What is the nearest to -1\/4 in 1, n, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgbb when four letters picked without replacement from {b: 3, g: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y\/y**4)\/((y\/(y**(-1\/11)*y))\/(y*y\/(y**(-5)\/y))) assuming y is positive.\nAnswer: y**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -521*x + 15635. Let q be s(30). Let p = -3 + 3.03. Which is the fourth biggest value? (a) p (b) 0.5 (c) -4\/5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = -0. Suppose p = -5*y - 7, 5*p - y - 9 = u. Suppose -i + 152 = l + p*l, 5*i = -l + 38. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 261168 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4624412 meters?\nAnswer: 462.4412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2029583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/22)\/((-2)\/11).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000122519312 rounded to seven decimal places?\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 114 = -4*c, -5*m = -m + 4*c - 84. What is the remainder when 69 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 129*g**2 - 119*g**2 - 207*g**2 - 170*g**2 - 185*g**2.\nAnswer: -554*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223953754\/44709 + -35064\/7. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + 1 + (-3 - (-5 + 0)) + -56\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864 + -5*6\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dada when four letters picked without replacement from {d: 10, a: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -31. Suppose 30 + t = 4*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129448, -128149, -126850, -125551, -124252, -122953?\nAnswer: -121654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (2 + 0 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 - 72. Let v be 430\/k + 1\/(-7). Suppose 4*q = -v*q + 430. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p + 5*w - 232 = 0, 84*p = 83*p + 5*w - 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + 0.34. Which is the nearest to 1\/3? (a) 0.3 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:28 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986142 is divided by 1483?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 156. Let b(x) = 3*x. Calculate r(b(d)).\nAnswer: 3*d - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (15 + -4) - (1 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101159781 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:14 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1169 in 20, 2\/29, 0.5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44131.\nAnswer: 44131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -7*f + 2*f - 4*h, f - 4*h = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279973 is divided by 1663.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 10) to base 4.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -73.486.\nAnswer: -2498.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 2. Let f(j) = -9*j + 38. Let y be f(4). What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-28))\/((4\/(-42))\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1260)\/189*(42\/8)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -10, -6, -2, 16 in descending order.\nAnswer: 16, 4, -2, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**4 + n**3 - 119*n**2 + 5*n. Let s(z) = z**3 - z**2 + z. Let w(y) = m(y) - 5*s(y). Find the third derivative of w(a) wrt a.\nAnswer: -192*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 194 + -109. Suppose 0 = 4*d + 39 + b. Let u = d - -77. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2\/23, -2\/13?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29674\/11 - -2700. Calculate the common denominator of 31\/8 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1.1. Let m = 1.1 - 0.1. Let r = m - s. What is the nearest to r in 0.4, -2\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37335 and 463695?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10440)\/1152*((-4)\/7)\/(185\/259)\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*b - 13, 4 = b + g + 1. Suppose 0*n + 5*n = -4*o - 7, 2*n = -b*o + 2. Find the third derivative of 39*y**o - 44*y**2 + 2*y**5 - 8*y**5 wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6668 - -6670. Let p be (0 - -1)*1 + 14. Solve i*n = 5*n + p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = -266. Suppose -20*z + m = -19*z. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 62*y + 194, -1232 = -5*q - 5*y - 1237 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -298\/3, -5, -1670?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = -4*k. Let f be 2 - (k - 32\/(-6)). Sort 0.4, 0.2, f in decreasing order.\nAnswer: 0.4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5476 + 5488 = 4*m. Solve 3*i + 30 = 3*a, 4*a - m + 8 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1931 - 1926.565. Let j = 0.035 - f. Let n = 4.399848 + j. What is n rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.1, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009093446 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*u + 2943 - 3334 = 6819 + 17958 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027730861 to seven decimal places.\nAnswer: -0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1290, -1346, -1412, -1494, -1598, -1730, -1896, -2102?\n\"Answer: -b**3 + b**2 - 52*b - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -30363\/4 and -2\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 133167451 to the power of 1\/3, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 32*5\/(-25))*25\/(-85)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11 + 8 - 6 - 2*b + 0 - 8. Let g(l) = 2*l. What is f(g(v))?\nAnswer: -4*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4 (c) 0 (d) -0.4 (e) 6405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (32 - (50 - 18) - (4 - 0))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6 - 13*m + 11*m - 19*m + 1. Is y(-2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 3. Let x(w) = w - 1. Let r(q) = q**3 + 9*q**2 + q + 10. Let p be r(-9). What is p*u(n) - 4*x(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 218 = -0*c - 5*c - 0*c, 3*o + 262 = 5*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34068 is divided by 4853.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 7*i - 6. Let g be j(4). Let k = 503 - 494. Calculate the highest common factor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f. Let z(d) be the second derivative of 36*d + 1\/6*d**3 + 0 + 0*d**2. Give c(z(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -39*p + 19. Let r(j) = -j - 7. Determine 3*r(d) + x(d).\nAnswer: -42*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**8\/84 - 2*c**7\/105 - c**6\/6 - c**5\/5 + 7*c**2. Let y(i) = 0. What is i?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -14 - (1 - -1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 138 + 63. Calculate the remainder when 202 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39860023*b**4 + 4161015 with respect to b.\nAnswer: -159440092*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-24)*(-32)\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 5, -2, -5 in decreasing order.\nAnswer: 5, -2, -5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 657 = 3*m, -3*g + 110 = 3*m - 517. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1826, 1816, 1800, 1778?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-64 - -45 - 32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0456713 rounded to four dps?\nAnswer: -0.0457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u + 5*u. What are the prime factors of (29 + 1)\/u*-2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -43*n**4\/2 - 71*n + 73. What is the first derivative of s(d) wrt d?\nAnswer: -258*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (106328\/(-6))\/((-2)\/150). Suppose 3*d - 7*d + 5883600 = 0. Suppose 0 = 4*p - b - d. What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2 + 125*h**2 - 5 + 0*h - 14*h**2 + 2*h. Let q be d(1). Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212895.486 rounded to the nearest 10?\nAnswer: -212900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 62. List the prime factors of z(22).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**3 + 5*v**2 + 9 + 1\/4*v**4 + 56*v. What is the derivative of w(o) wrt o?\nAnswer: 3*o**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 38. Let q = f + 35. Find a such that q + 1\/2*a**2 - 1\/2*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-116 - (80 - 131))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + -20 + 31 + -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 40774*w**2 - 32*w + 652384.\nAnswer: 2*(w - 20387)*(w - 4)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 442203?\nAnswer: 442223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56169048 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 3}. What is prob of sequence jjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6)*180\/(-150). Suppose 0*c = 2*c - a*f - 2718, 0 = -3*c - f + 4084. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*p + 8 - 210 = 0, 2*g = -p + 98. Suppose 4*f = 12*f - g. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0958 + -0.4042. Sort 2\/13, z, 6 in ascending order.\nAnswer: z, 2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110770 divided by 22?\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 2800 = -3*v. What is the common denominator of -71\/33 and (v\/54 - -2) + 2?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3\/3 - 60812*n**2\/3 + 231586624*n\/3 - 1153376720 = 0?\nAnswer: 15, 7594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 44*y**2 - 15*y - 130. Let w be z(21). Let k = 38 + -19. Calculate the greatest common factor of k and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-5 + (2 - -1)). Suppose 123534 = -3*h + 5*g, b*g - 19609 - 21569 = h. Let y = -3178 - h. What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -11) + (-291 - -297)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**3 + 16*y**2 - 33*y - 3. Let w(d) = -33*d**3 - 30*d**2 + 65*d + 6. Let m(j) = 7*c(j) + 3*w(j). What is the second derivative of m(l) wrt l?\nAnswer: 78*l + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + -2?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u + 0*u - 3*u)*(-2 + 0 + 0) + 0*u + u + 0*u + 3 - 5*u - 6 - 5)*(u - u - u)*(-u**2 + 2*u - 2*u).\nAnswer: -6*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(6 + 594\/(-176))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 12*b + 25. What is the remainder when 262 is divided by c(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a - 2. Let l = -123 + 123. Let w be n(l). Let h = 55 + w. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -511315.\nAnswer: 2045260","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 99 = -15. Solve 3*a - 2 = i*a - 3*z, 2*z = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1858*-0.1.\nAnswer: 185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + v - v**2 - 1 - 3*v + (-13*v - v - 3*v)*(v + 2*v - 4*v) as i*v**2 + n + q*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 48. Which is the closest to -1? (a) -0.5 (b) f (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2498 - -2740. Calculate the highest common factor of u and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 3*x - 3. Let d(t) = -4*t**2 + 7*t - 7. What is 3*d(k) - 7*j(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7 + 2*r + 1 - 7. Let w be j(1). Solve w*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 1428 = 19*i. Suppose 0 = -3*l + 3*w + i, -3*l + 5*w + 0*w = -712. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 + 68 - 104)*(-3 + 0 + 4)*(1 - 1 - 3*u).\nAnswer: 432*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**5 - r**3 + (r**4 + 0*r + 0*r)*(1 - 1 - 2*r) + 54*r**5 - 10*r**5 + 51*r**5 - 2*r**5 + 7*r**5 - 12*r**5.\nAnswer: 85*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -29*j + 209. Determine o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/60 - z**5\/20 - z**4\/6 - 2*z**3\/3 + 8*z**2. List the prime factors of u(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 1283\/3, 3\/226, -5 in descending order.\nAnswer: 1283\/3, 3\/226, -0.15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*s - 2086, -3*f + 5*s = 453 + 1094. Let z = 529 + f. Solve -10*k = -35 - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -20\/3*d**3 + 0*d + 0 - 38*d**2 + 787505\/24*d**4. Let i be h(8). Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d - 112. Let f(l) = -24*l + 6. Let c be f(-1). Does 17 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3483702 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3808.54305 to 1 decimal place.\nAnswer: -3808.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-5684)\/105))\/(10\/4)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**6 + 0*a**4 + 0*a**2 - 1 + 0*a + 5\/3*a**3 - a**7 + 0*a**5. What is the third derivative of c(d) wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2417 (base 10) in base 9?\nAnswer: -3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 = -5*y, 48*y - 50*y = k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a factor of 95505630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556622 is divided by 359.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 84*r - 2097. Determine c(-19).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r**3 - 1\/12*r**4 - 1\/60*r**5 + 5*r**2 + 0*r + 0. What is the second derivative of c(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = -3*q, -5*b - 2*q - 2*q = 18. Let p(r) be the third derivative of -37*r**4\/24 - 25*r**3\/6 + 79*r**2 - r. Is p(b) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1615 or 109?\nAnswer: -1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7508.9 less than 124.335?\nAnswer: -7384.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*h + 16*h + 65. Suppose -h*p = -17*p + 20. Solve -2*f + p = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/135*3 - ((-17612)\/255)\/(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110410832 or -110410831?\nAnswer: -110410831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 303 = 368 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 20, 41, 68, 101?\n\"Answer: 3*j**2 + 6*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-z + z - 2*z**3) + 1 + z**3 - 1 - 1 + 1 - z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -192120 (base 12) to base 16\nAnswer: -6b328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6819.3693 - 44233.\nAnswer: -51052.3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m + 4*m)*(-9*m - 2*m + 2*m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -8. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (-2)\/8. Solve -4*r + 21 = f - s*f, -4*f + 29 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1001 - -1255. What is the remainder when i is divided by 132?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729033807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/135*(-85)\/(-17)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.8082285 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3627243 is divided by 1279?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = g. Let j(m) = -3*m**3 + 24*m**2 + 8*m - 57. Let b be j(8). Solve -b - 8 = -g*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(-3) - (-462)\/(-98). Let r(k) = k**3 + 7*k**2 + 7*k + 1. Determine r(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 93833*a - 4316323. Determine m(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/4047 and -37\/9.\nAnswer: 12141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9189213659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7049.00004156 + -7049. Round n to 6 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d - 4. Let j(x) = -61*x + 32. Let i(w) = 31*w - 15. Let p(y) = 9*i(y) + 4*j(y). Determine -7*g(h) + 4*p(h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**3 + 2*s**3 - 4*s**3 - s**2)*(36*s + 121*s + 62*s) as g + m*s**2 + c*s**3 + k*s + h*s**4 and give c.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*q - 13 = 0, -5*q + q = 3*d + 8. Suppose -d*u - 6*r + r = -398, 386 = 4*u - r. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, v: 5}. Give prob of picking 4 q.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8)*-4)\/(55\/22)*(-230)\/4?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 509544608 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4367.8 - -4550.8. Let d = -6.4 + 6. Which is the biggest value? (a) -3\/8 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*c + 96840 = 957*c + 429*c for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/(-9) - -10 - -5*1. Find the second derivative of -675*a**5 + 132*a + 4*a - r*a**2 + 0*a + 684*a**5 wrt a.\nAnswer: 180*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 2*p**2 + p - 2. Let j be n(1). Suppose m = -j + 198. Let l = -25 + m. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Let l = -3 - a. Put 5, -0.5, l in decreasing order.\nAnswer: 5, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -350, -308, -250, -176, -86, 20, 142?\n\"Answer: 8*u**2 + 18*u - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -5 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**6 - 6111878*g**4 - g**3 - 73003611*g**2 wrt g?\nAnswer: 360*g**3 - 146685072*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(5 - 3). Let h be -3 - -4 - 5*l. Let m(w) = w**2 - w - 1. Let i(b) be the first derivative of 2*b**3 - 3*b**2\/2 - 4*b + 1. Determine h*m(p) + i(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6*l*l**(4\/5))\/(l**(1\/4)*l*l)**(-21))\/((l**(-2\/3))**(-1\/4))**(6\/5) assuming l is positive.\nAnswer: l**(1097\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Suppose -t = t + 34. Let h = t - -26. Let k(n) = -n + h - 9. Give v(k(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.95. Let i = -0.25 - b. Let g = -0.2875 - i. What is g rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffttftfff. Give prob of sequence ff.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 300?\nAnswer: -19\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -25, -2, -1 in descending order.\nAnswer: -1, -2, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 2*y - 2. Suppose x - 4*x = -2*j - 11, 4*j = 5*x - 17. Suppose x*b - 3 - 12 = 0. Calculate a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 2*j - 28558 = 5*g, 5*j - 30 = 0. What are the prime factors of g?\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 110 (b) 0.09 (c) -5 (d) 333 (e) 0.4 (f) 2\/15 (g) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 5, n: 3, t: 2, j: 1, s: 3}. Give prob of picking 1 g, 1 y, and 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 - 5*u**4\/3 + 7*u**3\/2 - 33*u**2\/2 + 7589*u. Calculate k(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1384826698\/4583921 - -2\/241259. Let l = a + 302. Let f = -2\/1441 + 1453\/8646. Sort -7, l, f in increasing order.\nAnswer: -7, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -5311\/45. What is the common denominator of -143\/30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -2778?\nAnswer: 277c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + r**2 + r + 53. Let v be c(0). Let d be v + -3 + (-1 - -1). Let a = 2 + 8. What is the greatest common factor of d and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**3 - f**3 - 4*f**2 + 7*f**2 + 3. Let i(v) = 49*v**2 + 110*v**3 + 9 + 11*v**3 + 54 + 40*v**3 - 14. What is 3*i(y) - 49*q(y)?\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 - 15 = -4*m, 4*m - l - 6 = 0. Let t be (m\/(-5))\/(10\/15115). Let j = -303 - t. Calculate the common denominator of j and 11\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.6834298\nAnswer: 3.417149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3941, -7759, -11567, -15359, -19129, -22871?\n\"Answer: q**3 - q**2 - 3822*q - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/41256 and 145\/864.\nAnswer: 165024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -15. Let d(m) = 6*m - 13. What is the least common multiple of d(4) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h, -f - 3 - 7 = -2*h. Let n be -3 - (f\/4 + 2). Put -2, n, 11 in ascending order.\nAnswer: n, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)**(-41)*(b**(-1\/4))**(-19\/4))\/((b**(-2\/3)\/((b*b*b**1*b*b)\/b))\/((b**5\/b)\/(b\/(b\/b**(2\/21)*b)))) assuming b is positive.\nAnswer: b**(-2239\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*2 - sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10) + (5*sqrt(112))**2.\nAnswer: -2*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -56*u - 50. Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 43 = -55*z + 91*z - 31*z, -2*z + 1 = r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 + 134 - 911 - 319)*(-13*i + 10*i - 3*i) as w + j*i and give j.\nAnswer: 7236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, u: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3101355329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(25\/(-375)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o**2. Let j(w) = -4*w. Let s(m) = 7*m - 3*m - 3*m. Let z(a) = 4*j(a) + 18*s(a). What is z(v(i))?\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(1\/(-21)*3). What are the prime factors of 17\/v - 5823\/(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -88. Let w(k) = k**3 + 3*k**2 - 3*k - 5. Calculate the remainder when w(l) is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2\/7 - 660*z\/7 + 1944\/7 = 0.\nAnswer: 3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (279741\/252)\/77*(-2)\/56 and 19\/180.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q. Let z(t) = -t + 1. Let j(r) = 3*r - 2. Let o(b) = -j(b) - 2*z(b). Let m(c) = 30*o(c) - 5*v(c). Let g(n) = -2*n. What is m(g(w))?\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 - -328867?\nAnswer: 329223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274422.\nAnswer: 2, 3, 45737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 681754088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose 4*m + 5*d = m + r, 5*m + d - 45 = 0. Let y be (1 - -1) + (1 - 2). Solve -7 = -g - 2*f, -y - m = -2*g - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(2*(0 + 1 - 0)). Let q = -0.07 + 8.07. Let b = -13 + q. What is the third smallest value in b, -2\/25, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1320356\nAnswer: -3\/1320356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2690)\/60525*(-3)\/(-2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-3)\/297). Suppose -r*k + 348 = -21*k. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.7617*3\nAnswer: 77.2851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2 + 1 + 3 - x. Suppose 0 = 4*j + b - 32, 3*j - 7 = 3*b + 2. Suppose p + j*r + 24 = 3*r, -4*p - 3*r - 31 = 0. Determine f(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = c, -3*c = -5*t - 23 + 7. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18306348349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23800 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + ((-4*sqrt(5700))\/sqrt(3) - (-2*(sqrt(114)\/sqrt(6) - sqrt(19)) + -5)))**2.\nAnswer: 320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - -6 - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -911*b - 7423. Give v(-6).\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - 4077.\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:58 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/1623?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**2 + 3*r + 9. Is 13 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325942337.\nAnswer: 7, 61, 67, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1682 divide 14883504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 243, 392, 589, 834, 1127, 1468?\n\"Answer: 24*i**2 + 77*i + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -0.5 (c) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -47, 27, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17214632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 1)*(-1)\/2. Let j = a - -9. Solve -4*o = -0*o + 4*h + j, -3*o = -5*h - 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/345 (b) 2\/7 (c) 2\/45 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18334704620 rounded to the nearest one million?\nAnswer: 18335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5502 or 9935?\nAnswer: 5502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4 - 5) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:44 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -183, -21, 260 in increasing order.\nAnswer: -183, -21, 4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24346858 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -786332?\nAnswer: -786320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n + 9594768 = 108*n + 19*n. What is the ten thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -42. Let j(s) = 6*s**2 - 2 - 4*s**2 - 3*s**2 - 3*s. Let a be j(-2). Solve 6*i - n*i = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*l - l + 22, d - 3*l = 0. Suppose -4*b = 5*u + 1, d*u + 2 = -b + 3*u. Is -2\/47 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488486929?\nAnswer: 7, 9969121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2555 + -116. What are the prime factors of k?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/6 - 3*h**2 - 8*h. Let a be l(-6). Factor -6\/5*o**3 + a*o - 2\/5*o**4 - 4\/5*o**2 + 0.\nAnswer: -2*o**2*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1741 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -g - 1, -k + 3 = 0. Let p(b) = b**3 + b + 2. Let w be p(g). Suppose -w*q = -q - 10. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -38. Let g(k) be the second derivative of -k**3\/6 - 3*k**2 + 994*k. Give g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 1, x: 3, t: 1, e: 4, o: 6}. Give prob of sequence qt.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -2\/109 (b) 1\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72976 + -18462. What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 137210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3 + 12979*w**2 - 659378*w + 646400 = 0?\nAnswer: 1, 50, 12928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 10 = 80. Sort 0, z, -3, -4 in decreasing order.\nAnswer: z, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*h - 68. Let w(z) be the second derivative of 5\/12*z**4 - 1\/20*z**5 + 0 + 0*z**2 - h*z + 0*z**3. What is the third derivative of w(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**3 + 3*h - 3*h + (5 - 5 + 6*h)*(-h**2 - h**2 + 4*h**2) + h**3 - 2*h**3 + 0*h**3 to x + q*h**3 + t*h + u*h**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 3. Let j be f(8). Suppose -24 = j*q - 16*q. Solve r - 4*o = 4*r + 28, 3*r - q = 5*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x - 12. Let u be a(-1). Does 11 divide (-12)\/(-10)*u\/3*-95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28230?\nAnswer: 2, 3, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -176*s - 50367. Calculate h(-286).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -28. Let f = 72 + l. Suppose 5*o - 184 = -f. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1032111222?\nAnswer: 1032111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -11.1. Let r = -10 + j. Which is the closest to -2\/5? (a) r (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1683853 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1675)\/275 + (-17098)\/(-1133).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*l - 5, 7*l + 8 = 10*l - m. Let j be 4634\/21 - l\/(-9). Calculate the highest common divisor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 785528 or 785527?\nAnswer: 785528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.062? (a) 0.2 (b) 1.3 (c) 31 (d) -1\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 3, z: 2, p: 3, l: 2, x: 4}. Give prob of sequence lz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1073\/2142 + -1\/1071. Suppose j + 5 = 2*j. Let 0*z**2 + 0 + 0*z**4 - 1\/4*z**j + t*z**3 - 1\/4*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4 - 2516*o**3 - 773402*o**2 + 11292816*o - 10516896 = 0?\nAnswer: -636, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740396 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036781046 rounded to 6 decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -3171 and -3176 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6a0b (base 13) to base 8.\nAnswer: -1112715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.325878 rounded to three dps?\nAnswer: 7.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 - 183*b**3 - 3489*b**2 - 18825*b + 22500 = 0 for b.\nAnswer: -25, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.514 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350 - -985. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/464499 and 109\/7878.\nAnswer: 12076974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 8*q - 36. Calculate the remainder when 26 is divided by q - ((0 - 3) + 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*r - 70*r - 53*r as y + l*r and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822444929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:19 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000189751 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6049\/76 + 1498\/19. Let d(w) = -w**2 - 2*w + 4. Let s be d(-3). Let x be 3\/108 - s\/4. Sort m, 4, x in decreasing order.\nAnswer: 4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2 + 5792*u - 51617. Give r(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 145. Give h(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w**4 + 4*w)*(2*w + 3 - 3) + 6 - 6 - 5*w**5.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 772 + -766. Find the second derivative of 29*q + i*q + 215*q**4 - 31*q wrt q.\nAnswer: 2580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/584925 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huh when three letters picked without replacement from {h: 11, u: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16940769 != 4.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.78820123 + 16.711202. Let k = p - -0.077. Round k to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 4. Suppose 0 = 3*j - 20*j + 51. What is r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19380 and 4651200?\nAnswer: 4651200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 2, w: 1, f: 4, g: 4, r: 3, q: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*h + 2 = 0, -2*h - 2*h + 12 = 5*v. Suppose v*t + 8 = 0, -l + 11 = -4*t + t. Solve 0 = 2*j - l + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)*(s\/(s\/s**(-6)*s)*s)\/s)**(-46))**33 assuming s is positive.\nAnswer: s**40986","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((10\/(-62)*458\/(-3435))\/(2\/3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose 0 = -4*x + 2*x + 10. Suppose 0 = -6*i + i - p + 23, 0 = x*i - p - 17. Put i, f, 0 in increasing order.\nAnswer: 0, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**3 + 5*n**2 - 4*n + 7. Let h(g) = 5*g**3 + 3*g**2 - 2*g + 3. Let o(t) = -3*c(t) + 7*h(t). Give o(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-1 + (-1 - (-1 - 7))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -10. Suppose -1707 + 211 = -17*l. What is the remainder when l is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-39)*(31 - 36)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 8 = -17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1853\/246 - -190\/41. What is the common denominator of c and 1020\/72 + 1*(0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338452?\nAnswer: 2, 101, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 23 = -2*t - 48 + 35, 0 = -4*t + 3*s - 30 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003429283 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6040 + 6065. Let x(v) be the first derivative of -2*v**3 - 19\/2*v**2 + 0*v - a. Find the second derivative of x(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 6 = -3*r. Let l = -0.55 - -0.15. Let y be ((-4)\/6)\/(98\/735). Sort r, -2\/11, y, l.\nAnswer: y, r, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/14*4\/3. Let a(t) = 5*t + 3 - 3*t**2 + t**2 + t**f + 3*t**2. Suppose 0 = 2*r + 4 + 2. Determine a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7990 and 96115.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9545.09 and 10.6969.\nAnswer: -9534.3931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k - 51 + 105 - 54 + 7*k. Let v(r) = -3*r**2. Give v(g(m)).\nAnswer: -588*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/175)\/((-1)\/100) + (-482)\/1687?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10690, -10501, -10308, -10111?\nAnswer: -9910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 111*x**2 - 664*x + 68. What is f(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010759504 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4 and -5\/43.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*j = 25, -2*j = 17*d - 16*d - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by -3\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Suppose -v + 3 = -0*c + c, -c = -2*v + 3. Let q(w) = -6*w + v*w - w + w. Let z(l) = -6*q(l) - 11*x(l). Let n(p) = 16*p. Determine z(n(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.7 + -7.01. Let k = -8818 + 8818.31001. Let c = m + k. Round c to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409250000 rounded to the nearest 1000000?\nAnswer: -409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - a**2 + 7*a**2 + a**3 - 3*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -309 - -308.67. Let t = -0.2 + 0.45. Let b = t + q. What is b rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3aa26 (base 11) to base 15.\nAnswer: -22e7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 4:09 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -6. Is (-1)\/k - (-740)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 301, 453, 607, 763, 921?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6072*y**3 - 47349?\nAnswer: -18216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/11 and 75\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401661, 401668, 401677, 401688, 401701, 401716, 401733?\nAnswer: 401752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d. Let r be m(1). Suppose -2*f - 6 = -5*h, -3*f + 5*h = r + 2. Suppose 0 = -6*b + 3*b + 21. What is the least common multiple of b and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 7*d - 4 + 5*d**2 - 3 + d**3 + 2. Let b be o(6). Find the second derivative of 1 + 86*v - b - 6*v**2 - 83*v wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 444466 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390 - 495. Which is greater: -102 or r?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t - 115206 = -62*t. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86955.\nAnswer: 3, 5, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 24*u + 65. Let s = 36 - u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 25338325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 7*s**2 + 68*s + 182. Calculate r(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(0 + (5*(-1 + sqrt(1700))*4 - (2 + (2*(1 + sqrt(1700)) - sqrt(1700))))).\nAnswer: -760*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1828, 2538, 3248?\nAnswer: 3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 54.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + q, 8*q + 5*q = -7*q + 37*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 - 16.32. Let h = y + 4. Let f = -16977 + 16979. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*m - 277*m + 154*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34.2 from -7089.3163106.\nAnswer: -7123.5163106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2. Let j(y) be the second derivative of -19*y**5\/120 - y**3 + 36*y. Let q(k) be the second derivative of j(k). Determine q(v(b)).\nAnswer: 76*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 645 - 82 = -4*o, -732 = -4*o - 4*v. Let w = o - 26. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 15*v + 43. Let i(u) = 2*u**3 + 2*u**2 + 4*u + 2. Let t be i(-2). Calculate the remainder when l(t) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 + 155. Let m = 106 + k. Put m, -11, 1 in descending order.\nAnswer: 1, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-752)\/(-44) - 16) + (3\/(-9))\/((-7)\/(-21)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -71.73. Let j = v + 4.24. Let h = 0.03 + j. Put h, 0.3, 1 in decreasing order.\nAnswer: h, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 76. Calculate z(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + -30. Let c = -653.4 - -726. Let a = g + c. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*t = 195*t + 19376 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 6*k - 4. Determine g(-7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48638963?\nAnswer: 3079, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 113*-1\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 34*t - 1128. Suppose 191*o = t*o + 15. Suppose -4*c - 9 + 2 = -r, -2*r - o*c + 40 = 0. Solve 2*h + h = r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**3 + 26*q**2 + 227*q + 26. Let y(x) = 7*x**3 - 8*x**2 - 76*x - 8. What is 4*g(i) + 13*y(i)?\nAnswer: 3*i**3 - 80*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 2. Let x be n(-4). Let b(c) = -c + 11. Let g be b(10). Solve 0 = x*v + g - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h*h)\/(h**3\/h)*((h**(-1)\/h)\/h)**(-1\/3) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2382.073 + 2382. Which is bigger: 10 or w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/(-2 + 66\/24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d = -33*d + 3090633 + 1271595. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/276 and -55\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 49a?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5 + 10311*m**4 + 10359*m**3 - 154779*m**2 + 237252*m - 103140 = 0?\nAnswer: -5, 1, 2, 3438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102636 and 2160.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76766 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/7 - 26\/(-91)) + 3. Let r be x - 36\/(-24)*2\/3. Solve -5*g = n + 4, -n + 0 = g + r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7308, -7329, -7350, -7371, -7392?\nAnswer: -7413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014510289 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298594852?\nAnswer: 2, 31, 661, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3753499651991\/957561290220 - 48\/63583087. Let v = h - -4\/1255. What is the common denominator of 59\/36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 45*k + 47*k = 6, 3*r - 6 = -2*k. Factor r*h**2 + 1\/2*h**5 + 0*h + 0*h**4 + 0 - 1\/2*h**3.\nAnswer: h**3*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(9\/5)\/s)\/(s*s*s*s**(-17)*s*s)*(s*s**(-8\/3))**8 assuming s is positive.\nAnswer: s**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 6.6 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3407*w**3 + 37*w - 40*w - 1331*w**3.\nAnswer: 2076*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1313, 5, -3, -4, 1, -5 in increasing order.\nAnswer: -5, -4, -3, 1, 5, 1313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 1042.\nAnswer: -55\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/16)*g*g*g)**(-2)\/((g\/((g**(2\/29)\/g)\/g))\/(g*g**(5\/8)*g*g*g*g)) assuming g is positive.\nAnswer: g**(-199\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 234383436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8217*o + 70 = 8231*o. Let h(n) be the third derivative of 2\/3*n**3 + 0 - 11*n**2 + 1\/12*n**4 + 1\/240*n**o + 0*n. Factor h(k).\nAnswer: (k + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 1\/12*j**4 + 0*j + 4\/35*j**7 + 15*j**2 + 0 + 0*j**3 + 1\/60*j**6 - 1\/15*j**5. Find the third derivative of o(p) wrt p.\nAnswer: 576*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 37\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26966627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + 0 + sqrt(5) - (0 + sqrt(5) + 0)) + 4.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 228*r + 680. Calculate l(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-7 - -4))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*y**2 - 553*y**3 - 275*y**3 + 14*y**2 - 69*y**3 + 20*y**2 wrt y.\nAnswer: -5382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (19 + 1055\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 5. Let s be z(4). Let h = s - 41. Is h\/(-1) - (-2 - -4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) 8 (b) 4 (c) -5 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*u = -1042, 2*x - 2*u = 571 + 129. What are the prime factors of x?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 - 157 + 468 - 153 + 431*r to the form j + p*r and give p.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 4478*(2\/4 - -2). Suppose 38*o - 17*o - p = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81234*q - 81234*q - 11*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 20. Let d be i(4). Let k = 825 + -402. Suppose -u + k = d*t - 0*t, 0 = u + t - 429. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411 - -411.1206. What is d rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147636598.0000055 + 147636630. Let g = 32 - n. What is g rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12448 and 22173.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7104\/(-20)*1\/(-6)*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26433387 a multiple of 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*d - 7 + 5, -4*d = 4*y + 4. What is the second derivative of -y*b + 5*b - 136*b**5 + 6 + 207*b**5 wrt b?\nAnswer: 1420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 95 + (2 - (-2 + -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1834003 - 9.184. Round o to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 243*t**2 + 1 - 4 - 259*t**2 as b*t + y*t**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(d - 5*d + 5*d) - 2*d - 3 + 3.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 232651207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 3*c**2 - 2*c + 3. Let l be f(2). Let w = -117 + 138. Suppose w = 12*k - l. Solve -3*v = v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 25*i**2. Let v(z) = -15*z**2. Determine c(v(x)).\nAnswer: 5625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-3)\/(-6)*(-22)\/154?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 6 + 15 + -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -1.4 (c) -2.6 (d) -3 (e) 0.3 (f) -426\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**16)\/n*n*n**23 assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 134.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + 1.2. Which is the nearest to -0.1? (a) r (b) 0 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let k(b) = -35 + 11 + 13 + 11 - 17*b. Calculate q(k(z)).\nAnswer: 51*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = -7*y + 5*b + 607, -3*b - 46 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhh when four letters picked without replacement from {h: 13, j: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/189 and -62\/63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5378 + -5337. Calculate the remainder when 1147 is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3168 and 147773340?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 6:40 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = u. Let x = u + -5. Let z(r) = -r + 4*r**2 + 7*r**3 - 8*r**3 + 10 - 6. Give z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((-2*sqrt(24))\/sqrt(8)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d66c (base 14) to base 9.\nAnswer: 2075163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 22 = -2*p, -33 = -2*q + 481*p - 486*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101111001011000001001 (base 2) to base 3.\nAnswer: -112202011121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 502*h - 252*h - 251*h + 24 + 2, -3*f + 3*h - 69 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:14 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/9)\/(86\/(-258))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -w - 1168, -4*x + 5*w = 4*w + 938. Let t = 237 + x. Solve -8 = t*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2042702 and 352190?\nAnswer: 10213510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 194622093 divided by 2\nAnswer: 194622093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/5*z**2 + 21\/5*z + 3\/5*z**4 + 3*z**3 + 6\/5.\nAnswer: 3*(z + 1)**3*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from jrhqqmhjhqhhmrhrm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6080, -12155, -18234, -24317, -30404?\n\"Answer: -2*k**2 - 6069*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 648 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*u - 1249*u - 894*u.\nAnswer: -1362*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -143*x**2 - 3879*x - 472374. Let s(m) = 32*m**2 + 970*m + 118094. Let z(g) = 4*c(g) + 18*s(g). Factor z(v).\nAnswer: 4*(v + 243)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 75 = 3*a, -3*q + 6*q = 5*a + 65. Suppose -5*s = 2*y - q, 4*y - 3*y + 3 = 2*s. Let u be (-1 - 1) + 1 + -2. Sort u, y, -2.\nAnswer: u, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(55)\/sqrt(5) - (1 + sqrt(11) + 3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 19. Solve b - 3*b = 6, 3*l = -4*b - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n*s**2*x + 2*n*s*x**2 - 4*s**2*x**2 - 32*x**2 + 2 wrt s.\nAnswer: 26*n*x - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3427184*s - 7336465 wrt s?\nAnswer: 3427184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*p - v, 12*p - 43 = 39*v - 44*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/((p**(1\/6)*p*p)\/p))\/p))**(9\/8)\/((p**(3\/7)*p*p)\/(p\/(p\/(p\/p**(-1\/5))))))**(7\/3) assuming p is positive.\nAnswer: p**(677\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 184. Let u be (-68 + 1 + -2)\/(55 + (-50)\/(3600\/3972)). Calculate the greatest common factor of u and n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 0*j)*(0 + 1 + 3).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -176079*l + 176079*l - 27*l**3 - 6*l**2 + 1 in the form d*l + x*l**2 + v*l**3 + u and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 2021?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)\/c**(1\/3))\/(c*((c\/((c\/c**(2\/5))\/c))\/c)\/c)**(-8\/5) assuming c is positive.\nAnswer: c**(98\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-524)\/7)\/(82\/(-4592)) - 10 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177410 and -406.\nAnswer: 72028460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -5 + 1 + 25 - (0 - -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-28)*13*(-104)\/3380.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/43268 and 49\/1172.\nAnswer: 12677524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 176.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -96, -144, -192, -240?\n\"Answer: -48*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 27*u + 7. Let r(k) = 9*k + 2. Let b(d) = -2*l(d) + 7*r(d). Let m(f) = -10*f - 26. Let t(y) = -51*y - 143. Let i(g) = 11*m(g) - 2*t(g). Give b(i(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-25)*(-10)\/3. Let o(l) = -10*l**2 + 35*l - 40. Let n(m) = 9*m**2 - 34*m + 41. Let k(w) = c*o(w) - 5*n(w). Factor k(b).\nAnswer: -5*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1551*p**2 - 42*p. Let b(c) = c. Calculate b(k(f)).\nAnswer: -1551*f**2 - 42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 + 506 = 6*g. Suppose 0*u + 10 = 5*u. Suppose 2*s - 7 = 5*k + g, u*k = -4. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by -340.\nAnswer: -71\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, -5, -0.4, -1\/38024?\nAnswer: -1\/38024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9711*b + 58273. Calculate i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9940523 to three decimal places.\nAnswer: 0.994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(242) + (sqrt(16)*-3)\/sqrt(8))**2 - ((3 + (sqrt(24)\/sqrt(4))\/sqrt(3) + 5)*4)**2.\nAnswer: -912 - 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 21*n. Let s(q) = 111*q + 4 - 2 - 112*q. Let j(o) = -o + 1. Suppose h = -h - 2. Let t(v) = h*s(v) + 2*j(v). Give t(w(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 56 - 84. Suppose -61*a = -65*a + u. What is the highest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40555270.74 to the nearest one hundred thousand.\nAnswer: -40600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2\/17, 0.5, 5\/4, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 - y - 8. Calculate f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2 + 8*x - 1\/6*x**4 - 14 - 5\/6*x**3. Let n(k) be the first derivative of t(k). What is n(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 1\/4 (c) 6 (d) -0.06 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202390?\nAnswer: 2, 5, 320239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18170.06 to the nearest one hundred.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996154508?\nAnswer: 2, 17, 14649331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 35013032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*s = 107*s - 12. Let i be (-150)\/30 + (-2 - -2). Sort -54, i, 5, s.\nAnswer: -54, i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 5. Let d(m) = m + 1. Calculate -6*d(a) - z(a).\nAnswer: -12*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21104*d**3*m**2 - d**3 + 152*d - 17*m**4 - 65 wrt m?\nAnswer: 42208*d**3*m - 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.754 + -72.1. What is p rounded to two dps?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Suppose -v = 4 - u. Let b be (v + 0)\/(4 - 3). Sort b, -0.1, -2\/7 in ascending order.\nAnswer: b, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -3, -2, -4\/9, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 30*c**2 + 30*c + 38. Determine x(-31).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o. Let m be (1\/(-2))\/1*12. Let s(x) = 2*x**2. Let y(d) = 210*d - 424*d - d**2 + 214*d. Let l(f) = m*s(f) - 14*y(f). What is l(g(z))?\nAnswer: 242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptthgtr. What is prob of sequence tpht?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 10, 0 = 5*p - h - 549 + 537. Put -1142, p, 3 in descending order.\nAnswer: 3, p, -1142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (459*b + 880*b + 185*b)*(b**2 - 1 + 1) + (2 - 2 - 4)*(-2*b**2 + 2*b**2 - b**3) as z*b**2 + y*b + j + p*b**3 and give p.\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 - 12*h + 14. Let k be a(6). Let j = k - -217. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/3104277 and -16\/21729939.\nAnswer: 21729939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let k(w) = -10*w**2 - w + 7. What is k(j(s))?\nAnswer: -40*s**4 - 2*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/5 and 9802 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*h**3 - h**2 + 3*h**2 + 1 + 17*h + 144*h**3 as i*h**2 + n + y*h**3 + j*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056571 (base 8) in base 12?\nAnswer: -119675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777 divided by -531.\nAnswer: 2777\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 206371?\nAnswer: 206367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3, 5*h + 4*g = -g + 40. Suppose h*j = -5 + 25. Suppose -j*a = a - 15. Solve 0 = a*w + 7 + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219101 less than 52251?\nAnswer: 271352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9)*(-403)\/13)\/(((-2870)\/105)\/(-41))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -21*b. Let p(k) = 21*k. Let q(t) = -7*g(t) - 6*p(t). Let y(w) = 2*w**2. Calculate q(y(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -556 + 155813?\nAnswer: 155246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 + 5*h**3 + 37*h**2 + 1 - 4*h**3 + 7*h**4 - 35*h**2 as l + n*h**4 + y*h**3 + x*h**2 + o*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1422.307267917258 - 0.307268516258. Let z = n + -1422. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose g*p = 3*p + 4. Suppose -9 + 3 = -3*h. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875881356 less than 0.4?\nAnswer: -1875881355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y**3 - 130*y**2 - 5*y - 2655. Let g(p) = 17*p**3 - 130*p**2 - 6*p - 2654. Let l(i) = 5*g(i) - 6*x(i). Differentiate l(z) wrt z.\nAnswer: -15*z**2 + 260*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let h(p) be the first derivative of -p**2 - 5. Give h(u(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 404827783 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 38*k - 153. What is o(7)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00422 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -70. Is 40 a factor of 163 - (t - (2 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -70*f + 148. Determine h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 56, 42, 22?\n\"Answer: -3*b**2 + b + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4)*(-20)\/(-35). Suppose -v*n = -0*n. Suppose 4*s - 13 - 7 = -4*x, 3*x + 4*s = 17. Solve n = -f - 0*f - x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 1. Suppose 0 = h*f - 2*r - 0*r - 86, -5*f + 3*r = -142. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - s. Suppose s = -5*q - 0*q + 15. Suppose k + 17 = q*t + t, k + t = 8. Sort k, -1\/5, 0.3.\nAnswer: -1\/5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -232. Is n != 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457411 is divided by 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 + j + 3. Let w be x(2). Suppose 5*t - 50 = -w*t. Calculate the remainder when 22 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514241.\nAnswer: 2514241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 4\/7 (c) -0.2 (d) -1\/217 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -0.04, 5, -15, 133\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -33.95. Let j = g + -0.75. What is the biggest value in j, -2\/21, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2340*0.99\nAnswer: 2316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 11*f**2 - 10*f + 2. Let p be m(-10). Let o be 3\/p*(-10)\/(-3). Factor -y - 2*y + o*y - y**2.\nAnswer: -y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*g**3*t**3 - 743*g**3*t - 17*g**3 - 119804*g**2*t**3 + 17*t**3 wrt g?\nAnswer: 294*t**3 - 4458*t - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 - (-18 - -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2 + sqrt(5) + sqrt(5) + sqrt(5))**2 + -1 - ((2*sqrt(5) - sqrt(5)) + 3).\nAnswer: -sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-299)\/39)\/(115\/(-345)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.4 + -31.6. Let f = m + 80.96. Which is the second smallest value? (a) 4 (b) -5\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uueqeuueeqeuquequuqe. Give prob of picking 2 u.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 23. Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576897277?\nAnswer: 3, 858965759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 998488 + -658154. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2 - (-30 - 3). What is the second derivative of -3*v**3 + 0*v**3 - p*v + 29*v wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -5, 3, 23, 61?\n\"Answer: l**3 - 3*l**2 + 4*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkoooom. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4090 + 4463.7. Let l = 1324 - 1666. Let c = h + l. What is c rounded to zero dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -307, -1239, -2681, -4543, -6735?\n\"Answer: 15*b**3 - 345*b**2 - 2*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2522701 (base 9) to base 3\nAnswer: -2120202210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + (-357)\/(-7) - -1. Solve 5*d + f = -g, 59 - 39 = -2*g - 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-7)\/q)\/q*q**(-9))\/(q*((q\/(q**(-1)*q))\/q)\/q)**27 assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.775 in 0.2, -0.19, -0.1, 8, 2\/17?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-27))\/((-2)\/(-12)). Let a = 0.3 - 0.1. Let k = 0.16 - 0.06. Sort a, y, k in increasing order.\nAnswer: k, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14684 + 14791. Solve 102*c = x*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -47*d + 6. Let g(m) = 23*m - 2. Let a(f) = -13*g(f) - 6*p(f). Let n(b) = -5*b - 3. Let o(x) = 2*a(x) - 7*n(x). Determine o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.091265ml?\nAnswer: 0.009091265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/3 - (85\/(3825\/(-30)) + (-43)\/3). Solve 2\/5*w**4 + 0 - 1\/5*w**j + 0*w**2 + 3\/5*w**3 + 0*w = 0 for w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34170 + 68?\nAnswer: 34228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369374.6mg to grams.\nAnswer: 369.3746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 289*y - 1547. Determine d(5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 571*u - 189. Let d be n(7). Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 2, n: 1, f: 2, h: 1, t: 1}. What is prob of sequence aj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10839.629457 to 1 decimal place.\nAnswer: -10839.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1597*u**3 + u**2 + 1447*u.\nAnswer: 9582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 1573, 2467, 3343, 4195?\nAnswer: 5017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*(sqrt(175) + -2) - (sqrt(175) - (sqrt(175) + -2)*-1)) + 1)**2.\nAnswer: -30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 495, 542, 649, 846, 1163?\n\"Answer: 5*x**3 + 12*x + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -94. Let x be 10\/(-5) - (1 + p). Let h be (6\/(-9)*-21)\/(x\/(-12)). What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21898.3254 to the nearest 10.\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -j + 102, -3*j = -2*c + 122 - 428. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/5 - 9084*s**2\/5 - 1032396*s - 1030580.\nAnswer: -4*(s + 1)*(s + 1135)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4968.1 + 4968. Let k(t) = -t**3 + 6*t**2 - 5*t - 4. Let w be k(4). What is the second smallest value in h, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -0.5, -0.3, 4\/93, -28?\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3868.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13 - 8)\/((12\/(-1800))\/(1\/(-3))). Solve -24 = z*h - 254*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q = 35*q + 1750. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*(0 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1394 + 1436. What is the greatest common factor of l and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (1 - (6 + 12) - (20 + -23))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0 + 0)*(4 - 4 - 2) + 2*g + 2*g - 5*g - 3*g + 0*g + 2*g + (-2*g - g + 2*g)*(-3 - 1 + 5).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -456 - -422 - ((11 - -5) + -3)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 0*w + 2*w. Let g(a) = a - 25 + 25. Give g(d(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85201*g + 85194*g = -336 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1104, -4406, -9908, -17610?\n\"Answer: -1100*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13048 is divided by 3233.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.996075 weeks in hours?\nAnswer: 1679.3406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**3\/2 + a**2 + 103*a - 90. Let h(g) be the first derivative of d(g). Determine h(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27279 divided by 433\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 12. Let b(t) = -4*t - 12. Let y(s) = -4*b(s) + 5*c(s). What is y(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/u)\/u)**(-50)*(u\/u**(11\/3))\/u**(2\/27) assuming u is positive.\nAnswer: u**(2086\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 0*i)*(2 - 5 + 0 + (4 - 3 + 1)*(0 + 0 + 1) - 3 + 1 + 0).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -3*p + 125 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 (base 13) in base 5?\nAnswer: 102320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/5))**(-4\/3)*(l\/(l**(-7)*l*l))\/((l\/(l**(-2\/13)*l*l))\/l) assuming l is positive.\nAnswer: l**(1478\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443516266 + -0.1.\nAnswer: -443516266.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 382095140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.187 - 1.813. Which is the smallest value? (a) 0 (b) t (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -y. Suppose 4*m + 0 + 2 = -2*n, -y = -4*m - n. Let x(d) = -2*d + 17*d**2 - 36*d**m + 17*d**2. Calculate x(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4\/5, 0, -0.4, 3.3 in ascending order.\nAnswer: -4\/5, -3\/4, -0.4, 0, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*i - 633 + 69 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 1368 = 1214 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 4\/21921, 1\/4, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(2\/3))\/y*y)\/(y*y**(2\/23)))\/(y**(-1\/13)*y*y*y**6))\/((y*y**(1\/4)*y)**27*(y*y**(-9))\/y**(-4)) assuming y is positive.\nAnswer: y**(-229967\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 1, y: 3, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 2\/3, -54.6, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -7584*v**4 + 181989*v**3 - 1455480*v**2 + 3877824*v + 13824 = 0.\nAnswer: -9\/2528, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 - 7*k**2 + 2*k**2 - 43*k**2.\nAnswer: -73*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:22 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 436 = -264*i + 268*i, -4*o = 5*i - 1788. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 - 6*j + 778. Let n(z) = -123*z**2 - 81*z + 10113. What is -27*d(f) + 2*n(f)?\nAnswer: -3*f**2 - 780","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100011110 + 0?\nAnswer: -110100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/9 and 18\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = h + 3, 38*h - 42*h = 2*u - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 11. Let w be x(12). Let r = 52 + -49. Put 0, r, w, 4 in decreasing order.\nAnswer: 4, r, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkoxmjom. What is prob of picking 1 j, 1 k, 1 x, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/40 and -63\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 19. Let q be (-912)\/285 - (-2)\/10. Which is the nearest to j? (a) 0.1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34524196331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Let r(c) = 8*c**2 + c**j + 2*c**2 - 6*c**2 - 4 - 7*c. Give r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 217, 209, 189, 151, 89, -3, -131, -301?\n\"Answer: -n**3 - n + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 3. Let c(a) = 6*a - 3. Let x(t) = 5*c(t) - 4*r(t). Let s be x(5). Solve u + 0*u + 2*i - s = 0, -4*u - 5*i + 13 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-21) + (-40)\/(-105))*21. Let c + 3*f - 3\/2*f**2 - 3\/4*f**3 = 0. Calculate f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + sqrt(384)\/sqrt(8) + 5)**2 + 5.\nAnswer: 200*sqrt(3) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**2 + 14*k + 8. Let g(m) = -7*m**2 - 7*m - 4. Suppose 5*v + 2*f - 6*f = 39, 2*v - 3*f = 10. Let o(w) = v*g(w) + 6*b(w). What is o(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.99 + 8. Let o = 0.11 - q. Put 3, o, 0 in increasing order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1333.4 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkeeeeekkxekkzzekjke. What is prob of sequence ekex?\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 747960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/270 and -91\/40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - 59. Let h = -100 - t. Solve h*v - 3 + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 243888535, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186.8 - 178.4. What is the nearest to -2\/7 in 5, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(162) + -2))**2 + -1*(sqrt(2) + 0)*1.\nAnswer: -1297*sqrt(2) + 5976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175*p**2 + 8*p**2 + 116*p**2 - 2*p)*(-2*p + 1 - 1)*(-2 + 12 + 8 + 6).\nAnswer: 2448*p**3 + 96*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -62.78. Let o = 18.3 + p. What is o rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168298, 168305, 168314, 168319, 168314?\nAnswer: 168293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**2 + z - 2. Let n be o(1). Let p(m) = -m - 5. Let r be p(1). Does 14 divide r\/n*(-8)\/(16\/(-462))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 + 4*d + 4. Let t(x) = -x**2 - x. Give i(z) + 6*t(z).\nAnswer: 2*z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*x + 63. Let p be (0 - 2 - -24)*1. Let q be 6\/x*3 + p. What is the highest common factor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Suppose 0*a + 3*a - 3 = 0. Let i(c) = 14*c**2 - 12*c - 2. Let x(o) = a*i(o) - 2*d(o). What is the second derivative of x(b) wrt b?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.18 - -0.18. Let r = -0.038 - -8.038. Which is the second smallest value? (a) -0.5 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.437 + 0.837. What is the nearest to -3\/4 in y, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:38 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (((2*sqrt(65) - sqrt(65)) + sqrt(65) - sqrt(65)) + sqrt(65))*-4 + sqrt(65) + 6*(sqrt(65) - 1*sqrt(65)))\/((sqrt(125) + -1*sqrt(125)*-2)*-1).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*a + 14, 5*i - 22 = -0*i - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36880867 to four decimal places.\nAnswer: -0.3688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -231, -573, -1093, -1815?\nAnswer: -2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 17. Let l(h) be the first derivative of -3*h**2 + 642. Calculate x(l(f)).\nAnswer: 24*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 less than -174387588?\nAnswer: -174387507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from bfxxrxfxqfq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 4*b - 93. Let p(q) = -q**2 + 2*q - 3. Let r be p(3). Let y be (-15)\/b*(-8)\/r. Solve -y*m + 2 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9 - 3*z**2 - 22*z - 10*z**3 - z**3 - 3. Let q(c) = 9*c**3 + 4*c**2 + 22*c - 5. Let w(b) = 5*a(b) + 6*q(b). Factor w(o).\nAnswer: -o*(o - 11)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*i + 15, 23*t - 126 = 13*t - i - 114 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44557.83393281 and 3?\nAnswer: 44560.83393281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 16*o**2 - 15*o - 11. What is m(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 505, 1142, 2041, 3334, 5153, 7630?\n\"Answer: 22*y**3 - y**2 + 486*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 2*s. Let a = 330 + -309. Suppose 4*t = 3*p + a, 5*t + 24 = -p + 74. Calculate the remainder when b(-5) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6054, -12308, -18560, -24810, -31058?\nAnswer: -37304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 219*u + 2220. Give i(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -45*(-1 - (-6)\/9). Let j be (0 + -9)*(-80)\/r. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 1, w: 6, g: 3, x: 1}. Give prob of sequence fxfi.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208755, -208851, -209005, -209217, -209487, -209815, -210201?\n\"Answer: -29*s**2 - 9*s - 208717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/623 - -8755\/6853. Factor 2\/11*a - h*a**3 - 4\/11*a**2 - 8\/11*a**4 + 0.\nAnswer: -2*a*(a + 1)**2*(4*a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60*215\/688)\/(6*2\/16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 4*j + 29. Let f(h) = -3*h**2 + 3*h + 18. Let a(r) = 8*f(r) - 5*n(r). Let p = 9 + 3. Suppose 4*k = -p - 4. What is a(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 201, -2 in increasing order.\nAnswer: -9, -2, 1, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10 = -3*d, -189*i + 194*i = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 97. Let j be c(17). Put 1, -5, j, 0 in descending order.\nAnswer: j, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/124 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/6 + (-1)\/(-2). Let t(i) = i + 2. Determine t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2817 and 49\/258?\nAnswer: 242262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/6)\/(3\/3) + (-2919)\/1946)*-57?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -6 in descending order.\nAnswer: 20, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -0.03. Let l = 72.66 - 73. Let s = 0.66 - l. Which is the second biggest value? (a) s (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2010 and -49\/18.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35144 + 35144.0000064781. What is x rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 - 2*j**2 + 3*j + 3. Let x(h) = -4*h**3 + h**2 - 103*h - 103. Let d be x(-1). Let c(f) = 9*f**3 - 3*f**2 + 5*f + 5. Give d*b(y) - 3*c(y).\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 3\/5, -1, 11\/2, -16, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.679 or -596?\nAnswer: -0.679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:07 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*c + 16 = 0, 3*c = 5 + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 382\/32019 or 1?\nAnswer: 382\/32019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -1.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2682\/24138)\/(8\/18))\/((-9)\/(-32))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 374?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 38*y**2 - 75*y - 1088. Give v(-39).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(1\/16)\/m))**22\/((m\/(m\/m**(1\/6)))\/(m\/(m\/m**(1\/19))*m)) assuming m is positive.\nAnswer: m**(9809\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 16*t**2 - 2*t + 11. Let u be j(15). Let k be (-4)\/(-14) + (-3 - u\/(-14)). Which is the nearest to 0? (a) k (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 - 758*f + 894. Give c(-104).\nAnswer: 4014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310289442?\nAnswer: 2, 3, 51714907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55475 = 500*i - 2085*i for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5857\/4 + -1464. Let t be ((-12)\/80)\/((-12)\/10). What is the closest to 0 in 8, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 2. Let n(w) = 1. Let m(o) = 10*n(o) + 2*u(o). Let l be m(10). What is the units digit of (-2)\/12 - 7\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -384, -689, -1518, -3135, -5804, -9789, -15354?\n\"Answer: -44*d**3 + 2*d**2 - 3*d - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 433.27\nAnswer: -173.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:41 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**2 + p + 1. Let s be i(1). Let r(v) = -s + 8 + v + 22. Suppose 4*d - 3*q + 49 = -2*q, 4*q = -d + 9. What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akjhhgtgjaag. Give prob of picking 1 a and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (82\/6)\/(8\/24) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. What is the nearest to 1 in 0.2, d, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 82\/24 - 2\/(-8). Which is the biggest value? (a) 7 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-308))\/((-10188)\/(-18678)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 9*b - 4 = -0*f, 6*f = f - 11*b - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**2 - 34*x**2 + 8*x**2 + 171*x**2 - 52*x**2 + 24*x**2 + 2*x**2.\nAnswer: 164*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) - (-306)\/68. Solve 0 = -3*v - 4*p + 5, 2*v - 4*p + 7 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c - 87887 + 87851 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.017 at most 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**20)\/y)\/y)\/y*y*y*y**(22\/3))\/(y**(-1\/13)*y**(1\/7)) assuming y is positive.\nAnswer: y**(-3476\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 4 + 2)*(-3 + 0 + 1)*(-11*c**5 + 3*c**5 - 19*c**5).\nAnswer: 810*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(196) - 6*sqrt(196)))\/(-2*sqrt(2)*2*-2).\nAnswer: -105*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j**3 - 15*j**3 - 15*j**3 - 10*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/17)\/s**(-2\/7)*s\/s**(-2\/7)*s**0 assuming s is positive.\nAnswer: s**(201\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p\/(p**(2\/3)\/p)*p**(-6)*p*p**(-4))\/((p**0\/p)**(-5)\/(p**(-2\/15)\/p**(-1\/2))) assuming p is positive.\nAnswer: p**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 30. Let g(v) = -v**3 + 9*v**2 + 11*v - 5. Let y be g(t). Let n = -8 - -13. Solve 0*s + 29 = c + n*s, 0 = s - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 44 = 194. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 8. Let o = -162 + 165. Let b(h) = -h + 7. Calculate o*u(v) - 4*b(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23768851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 3 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 113d98 (base 16) to base 4\nAnswer: 10103312120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c - 93*c + 30*c + 33*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:24 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -33?\nAnswer: -38\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, -3*o - 3*r = -4 - 2. What is the least common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**10\/56700 + t**9\/30240 + t**8\/30240 - t**5\/30 - t**2. Let y(u) be the third derivative of k(u). Factor y(w).\nAnswer: -2*w**2*(w - 1)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 63*d**6\/5 + 341*d**5\/60 - d**3\/6 - 5*d**2 - 128*d. Find the third derivative of s(r) wrt r.\nAnswer: 9072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 - -2)) + (8 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)*(-63)\/2. Let u = -34 - p. Let h = -389 - -827\/2. Calculate the common denominator of u and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/2 (b) 0.2 (c) 2 (d) 0.16 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000)*1)\/(sqrt(24)\/(sqrt(3)*-1 - sqrt(3)))*-2 + -4*sqrt(30)\/(sqrt(6) - (sqrt(6) + sqrt(24)\/sqrt(4))) + 3 + sqrt(5)*-1*-4.\nAnswer: 3 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -24 - 6\/(-6). Let l = 339 + -150. Calculate the highest common factor of l and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932179 (base 10) in base 3?\nAnswer: -1202100201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608138169?\nAnswer: 3, 14149, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 1. Let n = -11 - -14. Suppose -4*i - 1 = n. Give b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 164*b - 117*b - b**2 + 281*b.\nAnswer: -b**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/210 - r**3\/6 + 27*r**2. Let h(q) = -5*q**4 + 4*q**3 + q**2 - 4*q + 4. Let o(f) = h(f) + 4*j(f). Factor o(n).\nAnswer: -n*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 52 + 17 = 0. Let s(p) = p**3 - 5*p**2 - 8*p + 15. Let b be s(6). Suppose v - g = b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18596 = 1002*v + 11464 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3409844 is divided by 121?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.92. Let m = 93155 - 93154. What is the nearest to m in -3, p, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 455734991 and 455734991 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6842363*x**2\/2 - 28775*x\/4 + 3\/2.\nAnswer: (1606*x - 3)*(8521*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458196.64s in days?\nAnswer: 28.45135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = r - 4*k, -3*r + 2*k - 5*k + 183 = 0. Let w be (72\/(-40))\/(24\/(-80)). Suppose s = w*s - r. Solve -o + 1 = m + 4*m, 2*o = 4*m - s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + c + 11)*(-16 - 102 - 46).\nAnswer: -164*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -49*u**5\/60 + u**4\/12 + u**3\/6 + 5*u**2. Let t be b(-1). Let j = t + 86. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -615, -1438, -2577, -4026, -5779, -7830, -10173?\nAnswer: -12802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 86. What are the prime factors of -12*(23\/(-9))\/((-1)\/s)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**4\/7 - 171*p**3\/7 - 1752*p**2\/7 - 1584*p\/7 = 0.\nAnswer: -44, -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -104*o + 27. Let b be c(12). Is 104\/(-6)*b\/22 + 4 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354491 is divided by 831.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = -4*a. Suppose -2*b - a = -76. Suppose -3*x = -3*l + 27, -l + 4*l + x = b. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t**12\/t*t)*t*t**(-7)\/t*(t\/((t\/t**4)\/t)*t*t)**(-3\/2) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 19 - 7 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5056437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3 - 0)\/(5 + (-344)\/68) and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 4:18 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882791 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose s*v - 2*v = -4. Suppose 0 = 4*l + v*n - 86, 0 = 2*l + 2*n - 16 - 26. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.1 + 1.1. Let l = -10.9999995 - t. What is l rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116250 - 74927. Let j = x - 41375.0034. Let t = j + 52. Round t to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, i: 2, f: 2, h: 1, l: 6, u: 2}. What is prob of sequence yyl?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 2, z: 1, t: 1, g: 1, v: 1}. Give prob of picking 1 r and 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 3}. Give prob of sequence jfj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*45\/18*(-7)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4 + f**3 + 997880*f**2 + 2171727*f?\nAnswer: -12*f**2 + 6*f + 1995760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 313, 307, 301, 295, 289?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 9359 = -9511 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 3*c**2 - 10 - c**2 + 17 - 2*c**2.\nAnswer: 10*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - -5*(2 + sqrt(1300)))**2 + sqrt(130)\/(2*(sqrt(490) + sqrt(10))).\nAnswer: 19201*sqrt(13)\/16 + 46900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and 67\/786?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Suppose 4*x + 277 - 105 = o*z, 0 = -3*z - 5*x + 121. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51243 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*u + 70. Suppose 2*o - q - 10 - 10 = 0, -24 = -3*o + q. Solve -x + 2*x + o*i = u, -i = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 18*t + 79. Let i be r(11). Let w be 350\/(-126) - (i\/9)\/1. Is -4 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 1023.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(22)\/sqrt(2)) + 1 - (sqrt(77) - (sqrt(77) + (sqrt(77) - -3*sqrt(77)*2)))\/sqrt(7).\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.31, -2\/4387?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5*y**2 + 49*j**3*y**3 + 5*j*y**3 - 18*j wrt j.\nAnswer: -40*j**3*y**2 + 294*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34 and 4089?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = -3*u - 3*d, -1 = -2*u - 5*d. Let p(i) = -i**3 - 8*i**2 + 8*i + 5. Let b be p(u). Does 12 divide 1\/((-3)\/(1 + b))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2*3)\/(4*sqrt(44)\/sqrt(4)))**2 + ((sqrt(85) - ((-2*sqrt(85) + sqrt(85))*1 + sqrt(85)))\/((sqrt(45)*-2)\/sqrt(9)))**2.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 15. Let a = z - 0. Let d(i) = 2*i**2. Let b(p) = p**2. What is a*b(n) - 4*d(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10655*p - 2094*p + 9 - 583*p - 11 + 4.\nAnswer: 7978*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (1 - (5 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 825\/481721 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-954)\/(-689))\/((-16)\/(-52))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 1\/60*j**6 + 0*j**5 + 0*j**4 - 1\/6*j**3 - 2*j**2 + 0*j + 0. Find the first derivative of n(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/300 - b**5\/75 + 7*b**4\/60 - 4*b**3\/15 + 27*b**2 - b. Factor j(a).\nAnswer: -2*(a - 1)**2*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16443 + 26711. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (-3 + -3 + sqrt(684) + sqrt(684))) + 0 + 3)**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 114, 317, 598, 957?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1968 and 161\/78?\nAnswer: 25584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9918 - 9921. What is the closest to -6\/11 in -5, -3\/2, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 1\/72*x**4 + 0*x + 1\/180*x**5 + 0 + x**2 - 1\/360*x**6 - 1\/18*x**3. Determine b so that w(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 136. Let w = -972 + 972. Calculate the remainder when (-28 - w)*(-51)\/t is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -18. Suppose 3 - h = t. Suppose -x - 4*x = 0. Put x, 4, t in decreasing order.\nAnswer: 4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -31*c**2 - 46. Let j(y) = -1798 + 1798 + 3*y - 2*y - 2*y. Calculate s(j(z)).\nAnswer: -31*z**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(6)\/(sqrt(4)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4261 + 6090. Is u a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/380671 or 0.216?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 237613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-m - 2*m + m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001701863 to 6 dps.\nAnswer: -0.001702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57259 rounded to two dps?\nAnswer: -4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.6144 and 1679.\nAnswer: 7747.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.3 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.66 - 1.46. What is the third biggest value in 4, q, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o + 3. Let j be v(0). Suppose j*r = -3*a + 2*a + 6, -4*r = 3*a - 8. Suppose 0 = r*h + 501 + 299. What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 2 - 2. Let h(j) be the third derivative of 1\/12*j**4 + 0*j + 0 + 0*j**3 + 2*j**2. Give k(h(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -759 (b) -1\/9 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 - -40951a2?\nAnswer: 4095249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6 and -7\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-765)\/(-2))\/5*(-78)\/3*(-436)\/(-25506).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a - l = -62*a - 17, 4*a + 18 = 2*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65.005 + -65. Let k = w + 4.995. Which is the closest to 0? (a) k (b) 2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -12 + 7\/4*q**4 + 0*q**3 + 0*q + 0*q**2. Let h be 3 - 1 - (4 - 5). Let u(a) = -6*a**3. Determine h*p(v) + 4*u(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4\/(-42) - (8478267\/(-441) - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1721\/2 + 843. What is the common denominator of i and 2 + 7\/((-105)\/144)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*v = -829*v - 788. Suppose -399*g = -v*g - 1010000. Round g to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(2\/(-21)) - 2. Suppose -j*a + 4*z + 134 = -0*a, z = -5*a + 154. Calculate the remainder when (7\/6)\/(-7) - (-5315)\/a is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 65 + 2081. What is the tens digit of ((-32)\/(-12) - 1)*f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(8\/64). Solve n*l + l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.469535 in -0.1, -3, -2\/21, -0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109274971\/1128 + 96875. Find the common denominator of n and 73\/846.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815 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 prob of sequence lf when two letters picked without replacement from {l: 5, f: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 3*d**4\/4 + 7*d**2\/2 - 5*d + 24. Calculate the remainder when c(2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 32*i + 36. Let l be ((-222)\/(-7))\/1 + (-2)\/(-7). What are the prime factors of n(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(50) + 5 + (1*sqrt(4)\/sqrt(2) - (sqrt(10)\/sqrt(5) + 0)))**2.\nAnswer: -255 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*w - 100*w + 48. Let r = -862\/195 + 64\/15. What is the third biggest value in r, -3.5, w?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10304 = 11*p. Let m = p - -2220. Suppose -r + m = 10*r. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let u be (s - (-2)\/(-2)) + 7. Let v be 14 - (1 - u\/1). Calculate the greatest common factor of 64 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 257.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:23 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9289 divided by 84?\nAnswer: -1327\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 551*z + 562. Let p(i) = 15*i**2 - 3860*i - 3935. Let r(o) = -3*p(o) - 20*y(o). Determine m, given that r(m) = 0.\nAnswer: -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000293216761 to 7 decimal places.\nAnswer: -0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 26 = -39 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 593 + -428. What is the units digit of 6\/(-12)*u\/(-2)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3911.00001753 - -3911. Round n to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 8*p + 42. What is a(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 24. What is the remainder when ((-102)\/10 - -1)*-5 is divided by g(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2*o + 3646*l**2 - 7198*o + 9 wrt l.\nAnswer: 8*l*o + 7292*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/24339 and 73\/8.\nAnswer: 194712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*i = -2, 2*i = -z - 0*z + 8. Suppose -2*y - 10 = -z. Does 3 divide 7 + y + 20\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 - 138*v + 387. Calculate q(0).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*n - 4*j - 1, -n = -2*j - 3. Find the third derivative of 32*x**3 + 8*x**2 - 32*x**n + 7*x**5 wrt x.\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**3 + 6*d - 6. Let i(g) = -17*g**3 + 5*g - 5. What is -6*i(w) + 5*v(w)?\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*y**2 - 5*y**2 + 2*y**2 - 5*y**2 - 16 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 7. Let z = 3009 + -3016. What is the smallest value in b, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let r(l) = 14*l + 5*l**2 - 7*l - 9*l + 35 + 41 - 78. What is r(v) - 2*x(v)?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -1. Suppose 0 = 3*l + 8 + r. What is the remainder when 86 is divided by 22\/(-4)*24\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.54 and 9380.\nAnswer: 9377.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*z = 74*z + 12192. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 f, and 1 k when four letters picked without replacement from {a: 5, k: 1, u: 1, z: 1, c: 4, f: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -580037, 1 in descending order.\nAnswer: 1, -4, -580037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**2 + 24*i + 544*i**2 + 25*i + 29*i - 75*i.\nAnswer: 512*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 6:31 PM?\nAnswer: 422","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12064234, -12064279, -12064398, -12064627, -12065002, -12065559?\nAnswer: -12066334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = -2*b, b - 5235 = -2*a - 5231 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) + 5*sqrt(21)\/sqrt(7) + -1))**2 + (5 + (sqrt(3) - sqrt(15)\/sqrt(5)))**2 + -5 + sqrt(108).\nAnswer: -426*sqrt(3) + 3944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 20. Let u(q) = q - 4. Let h be u(w). Factor h + 1\/2*x**3 - 1\/2*x**2 - x.\nAnswer: x*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, 2 in decreasing order.\nAnswer: 2, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) -5875 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*m**2*w - 21*m**2 - 61637*m*w**3 + 49654*m with respect to w.\nAnswer: 39*m**2 - 184911*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 - 50*w**4 - 282*w**3 - 566*w**2 - 476*w - 144 = 0.\nAnswer: -18, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3193 = 97. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7998166 by 363553.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 19. Let t be v(-7). Suppose -4*f + 28 = -3*z, 2*z - 14 = -t*f + 4*z. What is the remainder when 12 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7 = -3*v - u, -2*v - 2*u = -10. Solve -v*f + 6 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*(-4)\/8. Which is the closest to -1\/4? (a) 2 (b) -15 (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. Let a(t) = -2*t - 1. Let u be a(c). Solve 0 = 2*g - u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*1\/10*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/643 - -637\/1286. Which is smaller: 272 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 743b - -3?\nAnswer: 7441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 413 in descending order.\nAnswer: 413, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65520.9653 - -5.6?\nAnswer: -65515.3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7.2. Let k = -992 - -994. Sort k, 0.4, m, -1 in descending order.\nAnswer: k, 0.4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 + (-4)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v + 4. Let h be l(-4). Let g(o) = h*o + 2*o**2 + 0*o. Let n(b) = 7*b - 6. Let a(r) = 20*r - 17. Let x(w) = 6*a(w) - 17*n(w). Give x(g(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7995558 + 12204442 = 5*i. Round i to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 4. Let y(r) = -3*r + 12. Give -11*t(g) + 4*y(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -10333?\nAnswer: -10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let k = 7 + -12. Which is the biggest value? (a) k (b) h (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 47*w**2 + 51*w - 225. Let l be i(46). Solve 0 = 10*x - 12*x - l*t + 12, 0 = -x + 2*t - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636689373 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1847308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13272 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 9 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 6*m**4 + 3*m**4 + (-2 + 1 - 1)*(-3*m**4 - 2*m + 2*m) + (63*m - 63*m - 7*m**2)*(5*m - 2*m**2 - 5*m).\nAnswer: 21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 1, o: 11}. What is prob of sequence lgg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**3 + 23*k**2 - 45*k + 9. List the prime factors of p(15).\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 41*p = 413 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 177. Let y be p(29). Let j(h) = 4*h - 2. Determine j(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -360, -0.1, 4\/3, 0.4 in increasing order.\nAnswer: -360, -1, -0.1, 0.4, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.11 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let q(n) = -6*n + 77. Let c(f) = 5*f - 66. Let m(b) = -7*c(b) - 6*q(b). Give o(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136819 and 15523.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 2*u + 27 + 7 + (-u + 2*u + 0*u)*(-4 + 5 - 2).\nAnswer: -3*u + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*p + 5*q, -p - 2*q + 21 = -4*p. Let d be ((-2)\/4)\/(11\/(-2) - p). Are d and 2\/49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 3*s, -s - 2*c + 2 = -0*s. Suppose s = -q, -3*q - 2 + 5 = f. Suppose -273 = -f*i - 0*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d**2 - 19*d - 163. Is z(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 + 22 - 14)*(-52*g**2 + 229 - 229) - 3*g + 3*g - 7*g**2)*(-g + 2*g**3 + g).\nAnswer: 298*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-42) + 0 + (-1725)\/1260?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 - 494*o**3\/3 + 4796*o**2\/3 - 4440*o + 3792 = 0. Calculate o.\nAnswer: 2, 6, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 8*f - 10 - 6*f - f. What are the prime factors of u(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 325 = -4*j + 5*b, 3*b - 9 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from jjxxjjjxxjjjjjjjxj?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 53. Suppose 0 = -134*h + 47*h + 870. Give r(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 84889.\nAnswer: 1\/12127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + -91 - (91 + -121)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18832 and 1391.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6292 - -11221. What is the highest common factor of 372 and g?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21\/5 + -131\/30. Let v = 1 + -0.5. Which is the third biggest value? (a) 2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/7 < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 2. Let i = 0.4 - o. What is the second biggest value in i, -4, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {l: 3, p: 8, v: 6, y: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 453 - 535.6. Let q = 83 + v. Which is the second smallest value? (a) 0.2 (b) 2\/13 (c) q (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -113.39607 from -0.11.\nAnswer: 113.28607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - (-37368)\/270. Suppose 0 = -u - 2*n - 3*n + 93, -2*u - 2*n = -162. Let b = w - u. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1088, -28, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*y - 38, -3*z + 5*y + 118 - 25 = 0. Let s = z + -22. Solve 0*d + d - s = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -2868568\nAnswer: 5\/717142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 55 = -2*h, -33 = -h + y + 2. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z**2 - z. Let h(d) = 55 + 63 - 2*d**2 - 163 + 45. Calculate f(h(a)).\nAnswer: -80*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*g + 32 + 7 + 45 = 0, -68 = r + 4*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.996 + -24. Let p = 0.0039914 + z. Round p to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -1363.\nAnswer: 11\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171528 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 112. Let u = r - -60.9. Which is the third biggest value? (a) 0.03 (b) 1 (c) 0.1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -184, 83, 11, 5.9, -3\/8?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-7208.049\nAnswer: -28832.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 11*k**4\/24 - k**3\/6 - 25*k**2. Let l be f(11). Let d be (-14 + 14)\/(2\/l). Solve 0*q - 3*q + 6 = d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 518, 507, 486, 449, 390, 303, 182?\n\"Answer: -u**3 + u**2 - 7*u + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) - (-219)\/(-12). Let t = 22 + r. Suppose t*a = 7*a - 5*c - 4227, a - c = 1409. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 50*g**2 + 41*g - 9. Let u be t(17). Suppose 0 = 5*z - 3*v - 570, 4*v = -3*z - 28 + u. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001000001011 (base 2) in base 15?\nAnswer: b127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1313372 and 35\/18.\nAnswer: 11820348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**3\/6 - 11*x. Let v(c) = 4*c**2. Let y(t) = t**2. Let o(j) = -v(j) + 6*y(j). Calculate o(w(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 17130*g\/7 + 2574072\/7.\nAnswer: 2*(g - 8412)*(g - 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 10*h + 29. Determine r(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/485, -1\/3 in ascending order.\nAnswer: -1, -1\/3, 2\/485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1216) - (1*sqrt(1216) - sqrt(1216))*6 - (sqrt(1216) + -1 + 3) - (-2 + -1*sqrt(1216))*-4) + 2)**2.\nAnswer: 512*sqrt(19) + 19522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5616*u**3 - 5650*u**3 - 144*u + 133*u.\nAnswer: -34*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 166*y - 4870. Determine s(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2. Let k(i) be the first derivative of 5*i**2\/2 + i + 206. Determine k(w(o)).\nAnswer: 25*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16628, 33254, 49876, 66494?\n\"Answer: -2*j**2 + 16632*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*v**4*y**3 - 31*v**3*y - 2*v**3 - v**2 - 16*y**3 + 1510 wrt v?\nAnswer: -8280*v*y**3 - 186*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/23 equal to -1392\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132012321 (base 5) to base 8.\nAnswer: 30667552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765710 is divided by 1076?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 578037 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/((-3)\/(-20) - (-8)\/32). Let o = t + 76. Calculate the remainder when 28 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/89 in -4, 131, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9127 - 9064. Solve q*w = 62*w + 6 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8150 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 161*l + 217124 - 5963858. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**2 - b**2 + (5*b + 20 - 20)*(-b + b + 2*b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21342 and 0.2.\nAnswer: 4268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0 - 19\/480*n**6 + 108*n**2 + 0*n + 1\/280*n**7 - 3\/32*n**4 + 0*n**3 + 11\/80*n**5. Factor u(s).\nAnswer: s*(s - 3)**2*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2182, -2168, -2144, -2110?\n\"Answer: 5*v**2 - v - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -27*f - 159. Let m be v(-6). Suppose -3*k = -2*q - 60, 5*q + 25 = m*k - 26. What is the remainder when 175 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1848 and 157\/30?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950069847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 34, 52, 58, 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2504966 + -6?\nAnswer: 2504960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -39\/5753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/(-20)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 5633, 2, 2\/7, 47?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 84. Calculate g(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16.4, 29057.8, 1\/2?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 253674*s + 155860*s.\nAnswer: 409534*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*p - 5, -3*p + 2 - 3 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahvjala. Give prob of picking 1 v, 1 l, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w = 16. Let p = w + 20. Find the second derivative of 3*v + 4*v - 17*v**4 + 11*v**p wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/99 + 86\/3)*36\/30 - -8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.400000006. Round a to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/3540 and -13\/589445.\nAnswer: 417327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b (base 15) in base 13?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -33*j + 12. What is the tens digit of b(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 21*r. Let t(q) = 17 - 34 + 17 + 3*q - q. Determine t(s(k)).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((10\/4)\/5). Suppose 0 = -4*y + 16, w*y = 5*k + 6*y - 38. Suppose 6 + 0 = k*q. Let z(a) = -5*a**3 + 2*a - 1. Give z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296800629?\nAnswer: 313, 659, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844314855.\nAnswer: 5, 368862971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let v(c) = 6*c + 4. Determine -5*i(n) - v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/54 and 107\/11688?\nAnswer: 105192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y**5 + 12*y**5 + 9*y**5 + (2*y**3 - 4*y**3 + y**3)*(0*y**2 - 2*y**2 + 0*y**2) + 5*y**5 - y**5 - 5*y**5 - y**5 + 2*y**5 + 11*y**5.\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31592700 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 760447, 1520894, 2281341, 3041788, 3802235, 4562682?\n\"Answer: 760447*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:30 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/3, -0.938, 0.0639 in descending order.\nAnswer: 2\/5, 0.0639, -1\/3, -0.938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*u + 58*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2\/7 (c) -0.4 (d) 0.5 (e) -1 (f) -267 (g) -22\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3. Let y = -48556 + 48554. Let g(d) be the first derivative of 3*d**4\/4 - d**2\/2 - 1. Determine y*u(h) + g(h).\nAnswer: h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4095)\/2898 - (-2)\/(-23) - 2\/4. Let r(f) = 6*f + 14. Give r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 - 8341630*z**3 - 4638841614900*z**2 - 859889699820729000*z + 3439633021282620000 = 0. Calculate z.\nAnswer: -556110, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104258, -104255, -104252, -104249, -104246, -104243?\n\"Answer: 3*d - 104261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 - 217. What is the nearest to 0 in -1\/9, m, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 1413*l**3 - 90042*l**2 + 382968*l = 0. What is l?\nAnswer: -394, -81, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 958*a**3 + 0*a**5 - 3 - 921*a**3 - a**5 - 2*a**4 + 2*a**4 + (-a**3 - a**3 + 0*a**3)*(-2*a**2 + 0*a**2 + 3*a**2) - a**5 + 2*a**5 - 3*a**5.\nAnswer: -3*a**5 + 37*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/(-441)*11\/55 - 4*(-3)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -6, -18, 107 in increasing order.\nAnswer: -18, -6, -1, 1, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 30*v**2 + 64*v + 15. Let i be h(32). Let k = 49 + -47. Let c be (-15)\/6*(0 - k). Calculate the highest common divisor of i and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60742*o**6 + 2999*o**2?\nAnswer: 7289040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256240 is divided by 2949?\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 99 - 29 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 1820\/9. Let y = 1 + -1.3. Which is the third biggest value? (a) -1 (b) -0.5 (c) y (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxsx when four letters picked without replacement from ssxxs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (632\/(-790))\/((184\/(-2))\/((-30)\/3))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2068 and 220?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - 5?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 46.4?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19614 or 19615?\nAnswer: 19615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose y = 4*m + 204, k*m = -y + 2*m + 212. Calculate the highest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 - 5 + 4 - 1024*f to the form n*f + y and give n.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75384 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.66 + 1.6681. Round p to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 + 2*h + 2. Let w be a(-2). Suppose -q - 41 = 5*s, 3*q - 10 - 20 = w*s. Let t(k) = -k**2 - 10*k + 3. Calculate t(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:33 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) - sqrt(33)\/sqrt(3)*6 - ((sqrt(11) - (sqrt(33)\/sqrt(3) + 4))*6)**2)*-6.\nAnswer: 18*sqrt(11) + 3450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 1 - 6*k + 4*k - 2*k**2 - 6.\nAnswer: -2*k**2 - 20*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3067*f + 45624 = 229644 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -443562 + -7?\nAnswer: -443569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14538 and 50883?\nAnswer: 101766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*n - 4930 = 0, 0 = -5*z - 2*n + 7*n + 8225. What is z rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 - (-7 + 7). Suppose -2*l + 3*l - 4*q - 41 = j, 0 = 2*l - 5*q - 70. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54537.46ng to grams.\nAnswer: 0.00005453746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 3*v)*(-3*v**3 + 5*v**3 - v**3) + (649 + 165 + 327)*(-4*v**4 - 2*v**4 + 4*v**4).\nAnswer: -2283*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 33*o - 57. Let c be l(-31). Suppose 0 = -5*q - c*q + q. Solve 5*r = -q*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2416925 and 22050.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 - 8.1\nAnswer: -8.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229*k + 176*k + 70 - 70)*(19*k**2 - 23*k**4 - 19*k**2).\nAnswer: -9315*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5608136 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 4. Let u be 658\/98 + (-6)\/(-21). Give t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*j - 29 - 70, -122 = -5*j + 3*p. Suppose -12*s - j = -13*s. Solve -k - 5*b = -s, -3*b + 59 - 22 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(y + 7*y - 4*y) + 3*y - 3*y + 2*y + 1 + 0*y + 6*y - 7*y.\nAnswer: -19*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 158*y**6\/15 - 248*y**2 - 2*y - 429. What is the first derivative of t(m) wrt m?\nAnswer: 1264*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 18*t + 20. Does 10 divide v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8112\/(-56) + -2)\/((-2)\/413). Calculate the greatest common factor of 118 and g.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:30 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, 9\/4, -4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7388*s**2 - 99*s - 22. Let i(g) = 3694*g**2 + 54*g + 12. Let j(z) = -11*i(z) - 6*w(z). Let y(l) = 3*l**2. Calculate y(j(p)).\nAnswer: 40936908*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 489*h**2 - 987*h**2 - 26 + 491*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -358723 - -49338971.\nAnswer: 48980248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.01 + 13.99. Let b = -15.02 + z. Let m = b + -13.98. What is the nearest to 0 in m, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.852 + 2.952. What is the nearest to -1 in -2, m, 2, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - g + 10 = 28, -h + 12 = -2*g. Suppose n = 5*n - h. What is the third biggest value in -1\/2, 2\/7, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}