{"text":"Question: Rearrange y - 4*y + 5*y to the form m + j*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of c**2\/2 - 5*c - 4. Let f = 1 - 8. Let y = -11 - f. Determine x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16393307.\nAnswer: 7, 173, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 90361515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3*b + 20. Suppose -m - 4 = -b*m - 5*c, -4*m = 2*c + 8. Let q(n) = 6 + 3*n + 2*n - 2*n. Determine q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (26\/(-4))\/((-14)\/(-28)). Suppose 0*o + o - 20 = 0. Let n = d + o. Solve -3*k = -5*k - j + n, k - 3*j = -14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(99)*-1*2)\/(-3*2*sqrt(81)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 + 13*q**2 - q + 14. Let l be s(13). Suppose a = 5 + l. Let w(p) = -p**2 + 3*p + 4. Give w(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - (sqrt(80) - (4*sqrt(80))**2)) + 3.\nAnswer: -3*sqrt(5) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/16 and -53\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22873275 divided by 45.\nAnswer: -508295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + (-2)\/96*-95. Let s(r) = -312*r - 9985. Let h be s(-32). Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 414503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -292 - 145*p + 1\/2*p**2 = 0.\nAnswer: -2, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168 - -6141191.1?\nAnswer: 6141359.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*p**2 - p**3 + 5*p**2)*(-91*p - 171*p - 418*p).\nAnswer: 680*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 459215, 459217, 459219, 459221?\n\"Answer: 2*x + 459213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 9*i**2 + 2*i + 1. Let p(d) = d**3 + 204*d**2 + 15*d - 26. Let t(v) = 6*l(v) - p(v). What is the second derivative of t(u) wrt u?\nAnswer: -6*u - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of 2*x + 1\/3*x**3 + 1\/6*x**4 - 2*x**2 - 2. Let o(i) be the first derivative of j(i). Solve o(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1810 = 4*y - 530. Suppose -4*j = 5*j - y. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:28 AM and 9:12 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25 - 22. Factor v*d**2 + d - 5*d**2 - 4*d**3 + d**2 + 3*d**3 + d**4.\nAnswer: d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5833374.\nAnswer: 2, 3, 972229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*w - 11 - 85 = 0. Put 10, 1, w in decreasing order.\nAnswer: 10, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3061\/208 - -249\/13. Calculate the common denominator of 30\/11 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**2 - 5*w - 3. Let x be g(-3). Let k be (-60)\/(-3) - (x + -3). What is the highest common divisor of 50 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 24*o + 50. What are the prime factors of n(5)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3\/2 - 2232*k**2 + 839160*k - 6571200.\nAnswer: 3*(k - 740)**2*(k - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 + 3*z**2 - 2. Let n = -210 - -220. Let x be n\/40*-12 - 6\/(-1). What is s(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 25.48 - 26. Let s = 0.32 + b. Put s, 2\/9, -10 in ascending order.\nAnswer: -10, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.13 - 0.33. Let q(x) = -x - 4. Let h be q(-4). Let y = 1.5 + -0.5. Which is the closest to y? (a) 0.1 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(90)\/sqrt(2)*6)\/(sqrt(144)*2))**2 + 5.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 6, y: 4, u: 1, t: 5}. What is prob of picking 1 k and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/1927410 and 149\/385482?\nAnswer: 1927410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*b = -3*b - 17*b - 45. Solve -l - 2*l = -b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 968719, 3874876, 8718473, 15499510, 24217987, 34873904, 47467261?\nAnswer: 61998058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 2882 = -2*g + 4*g, -k = -2*g - 574. Suppose -15*w - k = -13*w. Calculate the lowest common multiple of 12 and (-1)\/5 + 3 + w\/(-15).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -5*w + 29, -w = -4 - 1. Which is the smallest value? (a) -0.3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -1) + (-4 - 1) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 4 = -f. Suppose i + 2 = 0, 12 = -4*k - 5*i + 14. Solve 0 = -k*p + x + 5, -x = -f*p - 4 + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -5. Let q(p) = -p - 1. Let m(x) = x**2 - 3*x - 5. Let j(d) = n*q(d) - m(d). Differentiate j(k) with respect to k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 311094635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/(x\/(x*(x*x**(-13))\/x))*x)\/x)\/x)**46*((x\/(x\/(x*x**(-10))))\/x*x)**19 assuming x is positive.\nAnswer: x**(-769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 239, 236, 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3141 - -3185. Solve l = 10*x + 64 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in 4*g**5 + 1186*g**4 - 23128*g**3 + 57740*g**2 + 129300*g + 47250 = 0?\nAnswer: -315, -1, -1\/2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**3 + 5*k**3 - 2 - 4*k**3 + (0*k**2 + 0*k**2 - k**2)*(-3*k + 0*k + 5*k) - 10*k**3 - 75 + 75 + 0*k + 0*k - k**3 - 1 + 1 - 3*k**3.\nAnswer: -17*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-126)*4)\/(384\/672).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2 + 3*b - 2 + 3 + 1 - 6*b.\nAnswer: (b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*f - 9302999 = 5*l + 52*f, 0 = -l - 5*f - 1860595. What is l rounded to the nearest 10000?\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = -2*a + 8, -3*a - 8 = -2*x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 360792 and 2088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 1, q: 1, u: 3, d: 4, t: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -1053*b - 1131*b - 40 = -2179*b + 3*d, -d - 15 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (3*i + 9*i - 13*i)*(4*i - 5*i + 0*i)*(i**2 + 3 - 3) - 9 + 443*i**4 - 445*i**4 + 0*i**2 + 2*i**2 as x*i**2 + m*i**4 + w + y*i**3 + t*i and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*w - 65 = 3*w. Solve -g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - d - 3. Let o be c(-3). Let n be 6\/o - (-114)\/27. Suppose 62*l = 64*l - 10. Solve -3*r + n*r - l = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 5\/48, -5\/6, 12, 2\/5, -1\/2, -1, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 12 + 95*j + 91*j - 74*j.\nAnswer: 112*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 278.\nAnswer: 3\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1086384 divided by -3?\nAnswer: 362128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 24*v**3 - 483*v**2 + 2460*v - 300.\nAnswer: 3*(v - 10)**2*(8*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p + 1. Let d be h(-1). Suppose -4*c - 3519995 = -d*t + 4*t, -2*c - 1760015 = -3*t. What is c rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.773 + -156.527. Let n = v - -151.244. Let r = -8 - n. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 2. Let i = -138 + 137. Which is the nearest to i? (a) 2 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x**5 - 176*x**4 - 1784*x**3 + 6368*x**2 - 6700*x + 2288 = 0 for x.\nAnswer: -11, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1255216 (base 7) to base 4\nAnswer: -220103212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -89402900 rounded to the nearest 100000?\nAnswer: -89400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 575 and 58535?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 167285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 - p**2 - 8*p + 2. Let f(x) = -x**3 + x**2 - x. Let a(b) = -195*b - 1169. Let k be a(-6). Calculate k*f(m) + s(m).\nAnswer: -2*m**3 - 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3392084 to the power of 1\/2, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -38, -55, -90, -149?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s - 4*s - 3*s)*(-156 - 176 + 67) - 35 + 35 - s.\nAnswer: 2119*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -a**3*n**2 - a**3*n - 38365849*a**3 - 9344*a**2*n - a*n + n**2 - 7*n - 1 wrt a?\nAnswer: -6*n**2 - 6*n - 230195094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1671 + -820. Let a = o + -2509\/3. Determine w so that -25\/3*w**3 - 8\/3 - a*w - 4\/3*w**4 - 18*w**2 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000561101 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 40974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 7. What is the third biggest value in 3, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 15*z - 13*z = 6799, -5*z = q - 1346. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1707 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3.77 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 107 - 105. Let m be (-2)\/(-159)*(k\/(-4) - 0). Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -100\/7 or -13?\nAnswer: -100\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1573, -1687, -1819, -1981, -2185, -2443, -2767, -3169?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.8 and 1.1.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -260 - -269. List the prime factors of 645 + ((-42)\/(-6) - t).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*i**2 + 318554*i + 79638.\nAnswer: 2*(i + 39819)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-9 - -11)\/((-2)\/(-4)). Let m = f + -4. Suppose -5*w - 12 - 13 = m. Let y(c) = c**3 + 6*c**2 + 5*c - 5. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = 12*a - 9*a + 6, 4 = -2*l + 2*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7648 and 393632?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/((-4)\/(-20) + 0). Factor -a + 4*a**4 - 4*a**t + 4*a**2 + 8*a**5 - 5*a**5 - 6*a**3.\nAnswer: -a*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7aa862 (base 11) to base 4.\nAnswer: 10322132301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 687865357?\nAnswer: 577, 1192141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 204480722, 204480751, 204480768, 204480767, 204480742, 204480687, 204480596, 204480463?\n\"Answer: -m**3 + 36*m + 204480687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 226 and 19323.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 589 = 3*z + 3*n, 2*z - 392 = 3*n. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2829 (base 10) in base 7?\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -5*c - 10, c + 3*i + 16 = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 948\/(-3)*4\/14. Let t = z + 90. Let g = -0.1 - 0.4. Which is the smallest value? (a) g (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n. Let t(l) = l**2 - 9*l - 5. Let g(c) = -4*a(c) + t(c). Suppose -11*z = p - 5*z - 31, 0 = 5*p - z + 31. What is g(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 13*n**3 + n**2. Let h be (3\/(-27)*3)\/(2\/(-18)). Let t be 1*(5\/((-20)\/(-8)) - h). What is l(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 965403699 and 3705.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.7 + -6.7. Let k = 126.75 - 121. Let y = t + k. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 111027 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes after 9:47 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ksijn. Give prob of sequence ni.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -21*w - 79. Calculate v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 2 q, and 1 p when four letters picked without replacement from pprppaqarqqqqqqparqq?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*g - 3*z + 7, -51*z + 48*z + 10 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 31894768739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of 3\/4*j**4 + 2\/3*j**3 + 0*j - 1\/120*j**5 + 0 + 14*j**2. Let t(d) be the first derivative of k(d). Give t(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2035 + 1079. Let r = w - -141. Let d = r - -1727\/2. Calculate the common denominator of 71\/42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-3 + (sqrt(13) + sqrt(52))*-6 + -5*(2 + sqrt(1872) - sqrt(13))).\nAnswer: 78 + 438*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 530, 531, 532, 533, 534?\n\"Answer: v + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 - z**2 - z + 1. Let s be a(-1). Solve 4*n - 4 = -s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25772129137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of -3.4489119 and -1265072.\nAnswer: -1265075.4489119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**2 + d + 1. Suppose -4 = -3*y + 5. Suppose 0 = -2*f + y*f - 2. Let q(p) = -4*p + 5*p + 3*p**2 + 2*p**2 - f*p**2. What is q(u) + r(u)?\nAnswer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1447 - 644. What is the third derivative of 803*n - 35*n**2 - b*n - 20*n**4 wrt n?\nAnswer: -480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/55170 and -131\/32587080?\nAnswer: 97761240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9652896416084 less than -0.4?\nAnswer: -9652896416084.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 PM and 11:58 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5346 (b) -0.19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.056 + -0.056. Which is the smallest value? (a) -4\/3 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, y: 1}. What is prob of sequence ny?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(2 - (7 - 7)). Let l be ((-135)\/(-1710))\/(t - 11\/(-4)). Put l, -3, 3\/2 in decreasing order.\nAnswer: 3\/2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1314 + -12135?\nAnswer: -10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -81*c**3 - 5*c**2 + 3*c - 1. Let m(u) = 161*u**3 + 9*u**2 - 5*u + 2. Let y(j) = -7*g(j) - 4*m(j). List the prime factors of y(-1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j + 8. Let q(i) = -1. Let x(v) = -b(v) - 2*q(v). What is the units digit of x(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3174 - 3838 - 972 = 114*a - 11290 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3106*5.\nAnswer: -1.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 105735661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-42 + -3 - -30) + 19. Suppose 4*g - 7 = -23. Sort 5, g, w, -6 in ascending order.\nAnswer: -6, g, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 7717 + -2?\nAnswer: 7715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 19*w**2. Let k be (-15)\/(-10) + 1\/2. Let y(j) = 0*j**2 - 6*j**k + 11*j**2 - 3*j**2. Calculate u(y(q)).\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -9. Suppose i = r*i. Suppose 3*q + y - 663 = -3*y, 3*q + y - 654 = i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 340\/36 + -5 - (1 + 3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -72 + 77. Suppose -y*k + 10 = -10, 5*k - 1625 = -3*n. What are the prime factors of n?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(5\/2)\/o*o)\/o*o*o*o**34*o)**(13\/3) assuming o is positive.\nAnswer: o**(1001\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - -2. Sort 4, 0, b, 2 in descending order.\nAnswer: b, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2, 13, 73, 99 in descending order.\nAnswer: 99, 73, 13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*(x*(x*x**(1\/3))\/x)\/x))**(-27\/4)*x**(-3\/2)\/(((x*x**1*x)\/x)\/x*x))**(-12\/5) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 205*b - 9922 = 194*b. What are the prime factors of b?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1518 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2 - 112*n.\nAnswer: -2*n*(n + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**2 - a**4 + a**2 - 3 + 3*a**4 + 3 + (-1 + 2 + 0)*(-45*a + 49*a - 20*a)*(0 - 6 + 750*a**3 - 747*a**3).\nAnswer: -46*a**4 + 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 3*r + 5*w + 7, 2*w = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -61.9 in 2\/5, -5, 0.722?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1156*g + 1039*g = 702 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 8869466927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -21\/2 in 4, 3, 5, 0.6, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 7*f = 6*h + 20, -4*f = -2*h - 16. Put f, -4, -5, 2 in decreasing order.\nAnswer: f, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - k + k)*(0 + 0 + 1) + (-2 + 7 - 3)*(2*k - k + k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 2 = 2*i. Suppose 0 = n, u + i = -4*n + 3. Solve z + 8 = 2*a - 2, a - 5 = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -h**5\/5 - h**4\/3 - h**3\/6 - 3*h**2\/2 - h. Let r = 111 - 108. Let z(j) = 3*j**3 + 3*j**2 + j + 2. Determine r*z(f) + 2*y(f).\nAnswer: f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 6*t**2 - 268*t - 287. Give i(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 177 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 877*u**2 + 399*u**2 - 296*u**2.\nAnswer: 980*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16846 and 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5931696069?\nAnswer: 3, 13, 941, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -22070*f + 4895 with respect to f.\nAnswer: -22070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4431 = -45*u + 16896. Suppose 46*l - 42*l = 3*q + u, 3*q = 3*l - 207. Calculate the remainder when l is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 379489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1109 divided by 512?\nAnswer: 1109\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2. Let z(o) = 27849*o + 2160. Let l(w) = 7957*w + 600. Let u(q) = -18*l(q) + 5*z(q). Give v(u(x)).\nAnswer: 15848361*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 - 52*f**2 + 23*f + 4477. Calculate c(49).\nAnswer: -1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 6*h**2 + 17*h + 11. Let v(u) = 7*u**2 + 18*u + 12. Let r(z) = 6*s(z) - 5*v(z). Let i(p) = 4*p + 6. Let m be i(-5). Is r(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-45)\/(-4))\/(-9)*(-8)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34.08 - -11.4. Let z = f - 48. Let g = -2.5311 - z. What is g rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 8:55 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/6 + (-32)\/(-12). List the prime factors of 8\/3*(a - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is e12 - 16?\nAnswer: dfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 14130 (base 5) to base 15\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**2. Let i(s) = -4*s + 2717. Calculate i(d(g)).\nAnswer: 4*g**2 + 2717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 4 - 11. What is the third derivative of -20*w**l - 38*w**2 - 32 + 32 wrt w?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7217.7 and -0.3.\nAnswer: -2165.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 b when four letters picked without replacement from {i: 2, f: 2, e: 1, b: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-468)\/(-72))\/((-5)\/(-16510)).\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*r + 5*r + 5*r - 7 + 0*r - 3*r.\nAnswer: -r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38701633*j**2 + 15*j + 991765.\nAnswer: -77403266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 PM and 12:10 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 688, 1370, 2052, 2734, 3416?\n\"Answer: 682*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**3 - 2*j**3 + 3*j - 5*j)*((0*j + 0*j - j)*(-1 + 3 + 3) - 3*j + j - 5*j).\nAnswer: 24*j**4 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 6. What is the second derivative of 4*u + v*u**2 - 5*u**2 - u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46551334343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 5*x = 2. Let n be 6*(x + 7\/(-3)). Let t be (-10)\/(-2) - (n - -5). Solve k - 9 = -t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123059120 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -32*p**2 + 7*p - 7*p + 11*p**2 to f*p + d + b*p**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 + 22 = 8*o. Which is bigger: -13\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*y - 1. Suppose -w = s + 4*s - 49, 4*w = -5*s + 256. Suppose y*i - w = -i. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-21)\/(-6)*-2 + 11. What is the closest to 2 in 3\/5, -4\/5, 0.1, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 366 + -11. Let l = n + -229. Let q = l - 67. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.4978 - -0.0022. Put 0.4, z, -1, 0 in descending order.\nAnswer: z, 0.4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 5*v + 3*v = -42, 4*v - 12 = 0. Let d be (0 - -2) + 6 + h. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = g - 10. Let v be 1*(1 + g) + 11. Calculate the highest common divisor of 98 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of j**3\/3 - 416. Let c(i) = -2*i**2 + 214. Calculate c(l(o)).\nAnswer: -2*o**4 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 90 + 1084*j - 26 - 37 - 27 + 4*j - 2*j + 2*j - j - 2*j + 2*j - 1 - j + 1 - j + j + 2*j + (0 + 2 + 0)*(j - j + 2*j) - j + 0*j + 3*j - 2*j + 0 + 0.\nAnswer: 1092*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 3*o + 4*m, -3*o - 484*m + 14 = -488*m for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1741 + 3726. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16762 (base 9) in base 2?\nAnswer: 10110100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 1641*r**2 + 4155*r - 5796.\nAnswer: 3*(r - 1)*(547*r + 1932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 3552408 by 6.\nAnswer: 592068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 54*b + 7. Determine j(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*v**4 - 9350549*v**3 + 116079069*v?\nAnswer: 48*v**2 - 56103294*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -338*c = -327*c - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/2 and -1\/10930.\nAnswer: 10930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 42*o**2 + 18*o. Let p(s) = s**2 - s. Let x(c) = -n(c) + 3*p(c). What is the second derivative of x(a) wrt a?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -3*u - 8, g = 2*u + 7. Let v = -110\/13459 + -12\/313. Let t = -49\/129 - v. Which is the closest to t? (a) g (b) -3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 108 - 33. Suppose -2*t + u = 5. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/24*(-10)\/12*48\/100\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 51d (base 16) in base 15?\nAnswer: 5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/42)\/((-10)\/(2\/2*(-70)\/(-10)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 41669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17 and 12264837?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.7 * -0.028297.\nAnswer: 0.0481049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -8307*g + 6479*g = -18280 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 + 37 = 5*f. Suppose 4 = 3*o - f. Suppose -17 = -s + o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9.06379 to one dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 31879380 a multiple of 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m**2 + 12*m**2 + 3*m**2 + 15*m**2 - 8*m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156) - -1*sqrt(156)*1)\/(-1*(sqrt(3) - sqrt(12)\/sqrt(4)) + sqrt(3)))\/(4*6*sqrt(4)*-1*6).\nAnswer: -sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.15 from -13177325.\nAnswer: -13177324.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1415002 millimeters in nanometers?\nAnswer: 141500.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 10:57 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + 2*m - 260, -5*a = -a + 5*m - 254. Let i be (1\/(6\/(-141)))\/(1\/2). Let f = a + i. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 16 = -g, 2*k - 17714669*g = -17714676*g - 46 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165)*-2*-2)\/(-4*sqrt(25)\/sqrt(5)))\/((sqrt(30)\/sqrt(5))\/sqrt(2)*-2*1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (-28 + -12 - -11).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let o = 68 - 67.06. Let q = 0.64 - o. Which is the fourth smallest value? (a) -2\/5 (b) -0.5 (c) 2\/5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157664839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -70*m + 61. Let r be a(-5). Let v = 761 - r. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1468879 is divided by 29375.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 0 + 12*i + 2\/17*i**3 - 106\/17*i**2 = 0. Calculate i.\nAnswer: 0, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**3 - 407*y**2 - 13208*y + 6516116 = 0. What is y?\nAnswer: -254, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 397, 948, 1813, 3154, 5133, 7912, 11653, 16518?\nAnswer: 22669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {x: 1, i: 1, s: 2, z: 1, u: 2, d: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o - 2 + 2)*(2 - 2 + 2*o) + o**2 - 4 + 4 - 4 + 21*o**2 + 4.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 14*k + 54 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -109227, -218441, -327655?\nAnswer: -436869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -13 and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19362527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/3*(-1 + (-1)\/2). Suppose 42 = 3*c - 3*u, -c = u + m - 5. Solve -c*s = -4*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1227 or -49071\/40?\nAnswer: -1227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 23\/8 of a centimeter?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100111000110 + 0?\nAnswer: 10100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + 138\/4*2. Let k = s + -37. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 69037.11 and 50.\nAnswer: 3451855.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*w + 255*w**3 - 256*w**4 + 117*w**4 + w**2 + 138*w**4 - 1191*w**3 to the form l*w**4 + f*w**2 + p*w**3 + t + o*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 314460090 a multiple of 3411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 2300*j - 326*j - 8 + 11 as g + o*j and give o.\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21 or -2672\/137?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(10\/3)*k**(-9\/5) assuming k is positive.\nAnswer: k**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/8 - 8862\/(-24). What is the lowest common multiple of r\/164*1*(-1 - -9) and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((4 + (sqrt(242) - (sqrt(242) + 0)) - (sqrt(242) + (sqrt(242) - -5*(sqrt(242) + 1)) + sqrt(242) - sqrt(242)) - ((sqrt(242) + 0)*6 + 4)) + -5))**2.\nAnswer: 45760*sqrt(2) + 655968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2379 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -74.05394 rounded to 2 dps?\nAnswer: -74.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1092053795*d**2*x + d**2 + 233*d + 958686 with respect to x.\nAnswer: 1092053795*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express b + 3*b - 2*b - 6*b in the form q*b + k and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**3 + 292*n**2 - 850*n - 1144.\nAnswer: -2*(n - 143)*(n - 4)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -383, -399, -415, -431, -447?\n\"Answer: -16*n - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*f - 2. Let j = 16 - 19. Which is the nearest to f? (a) j (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 - -11. What is the second derivative of -3*q**x - 2*q - 5*q + 4*q wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 - 6*w**3 - w**2 - 2*w**2. Let g be -5*(0 + 4\/10). Is 15 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 1\/296921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.91 + 1.71. What is the closest to -2 in 5.4, -1, r, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -1 - 1. Let b be 10\/(-55) + f\/(-11). Let w(c) = c**2 - c - 170. Let v be w(b). Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p - 5. Suppose -13*s = -20*s + 2023. Let c = s - 289. What is o(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6d + 0?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is t in -10*t + 2\/5*t**2 + 312\/5 = 0?\nAnswer: 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 2*y - 3. Let r be y + 2 - (-23)\/(-1). Let s = r + 52. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2061731, -4123474, -6185225, -8246984, -10308751?\nAnswer: -12370526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 54 and 2029794.\nAnswer: 18268146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + -11521?\nAnswer: -11521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:54 AM and 3:01 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/(-14))\/(1560\/(-1248)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -16*x**3 - 204*x**2 - 58*x - 1. Let l(f) = 3*f**3 + 40*f**2 + 11*f. Give 2*h(s) + 11*l(s).\nAnswer: s**3 + 32*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 5*a - c - 13, -3*c = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11377 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 6 = w, w + 15 - 3 = 4*k. Let v = -6 - -9. Suppose v*p - 7 = 4*a, -5*a + 0*a = -k*p + 5. What is the highest common factor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/5 or -4\/681?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from iistiitit?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*h - 15 - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1392, -1331, -1272, -1215?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 4 - -18822185.11\nAnswer: 18822189.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 + 6*i**2 - 2*i + 45. Let t be x(-7). Solve -d + t = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -4) + -1 + -1. Let n(t) = v + 1 + 1 - 1 + t. Let u be n(4). Solve 5*i + 4 = u*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 3402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 24 = -2*d, -c = -9*d - 126. Calculate the least common multiple of 225 and c.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m - 2. What is l(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.22304034 - -67.\nAnswer: 66.77695966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 PM and 10:25 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*u = 5*u + 112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6383 - -6384. Let l = -0.19 - 10.81. Which is the closest to n? (a) l (b) -3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 3*p. Let r be (-520)\/12*(-6)\/5. Let k be 5 + -3 + 0\/2. Let c(b) = -r*b + k*b**2 + 52*b. What is v(c(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 3:58 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/5 - (-23)\/(-5). Let i be 9\/3*1\/(-3). Let z = i - k. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -250*i*y**4 + 70326*i*y**2 + i*y - 27947*y**4 wrt y?\nAnswer: -6000*i*y - 670728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (5 - 9 - (-9 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28\/173 - 13947\/1730. What is the common denominator of s and (-6 - -4) + 114\/16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -512084 or -90?\nAnswer: -512084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6239*q**4 - 4*q**2 + 843 wrt q.\nAnswer: -149736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the third derivative of -f**4\/4 + 11*f**3\/2 - 84*f**2 + f. Does 33 divide g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.5 and -21708.1.\nAnswer: -21708.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -236340*-0.4.\nAnswer: 94536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/28979469 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 103 - 100. Suppose -j = p*v - 656, -2*v + 3*v = 3. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 times 2440796?\nAnswer: 61019900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 778177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 64172.6353 rounded to the nearest 100?\nAnswer: 64200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 205801280 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -19 divided by -605?\nAnswer: 19\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - h + 30 = 3*b, -3*b = 4*h + 5. Let p(k) = k - 1. Let n(s) = -s**2 + 15*s - 2. Let z(r) = b*p(r) - n(r). What is z(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 26 + -12. Let u(p) = 8*p**2 - 4*p - 9. Let t be u(7). Let f = -335 + t. Calculate the remainder when f is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71798.47mm in kilometers?\nAnswer: 0.07179847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-11)\/21 - 7\/21. Let h(w) = -w**2 + 6*w - 6. Let k be h(5). Is o greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1035 - -685b9?\nAnswer: 67584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 4 = -8*j. Let t be (j\/(-3))\/((-12)\/108). Find the second derivative of -2 + 2 - 6*x**2 + t*x + 0 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -353 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8527\/7 + 1218. Which is the closest to -2? (a) g (b) -4 (c) -0.3 (d) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of -3*t**2\/2 + 25*t + 16. Let x be f(-18). Let p = x + -48. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -89*v - 446. Let s be h(-5). Let j = -2 - -2.3. Which is the second smallest value? (a) s (b) -2\/3 (c) 1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 14887+20.103965\nAnswer: 14907.103965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1725 in -1, -4, 8\/7, 1\/5, 0.1?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 57 = -4*o, -45 = 140*t - 139*t - 5*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 245*k + 212. Determine z(0).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 9*l - 8. Let k be o(-7). Let x(j) = 47*j. Let t(y) = -16*y. What is k*x(r) + 17*t(r)?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ajjjajaajaajj. What is prob of picking 3 j?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - a = -24, 0 = 2*m + m - a + 19. Let b be m*(-2 - -1) - 3. Find the second derivative of k**2 - 3*k**2 + 0*k - b*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j**2 - 15*j - 7. Suppose -f + 0*s - 2*s = 3, 4*f - 5*s - 40 = 0. What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of -1\/20*l**5 - 3\/16*l**4 + 1 - 1\/8*l**2 + 0*l - 1\/4*l**3. Suppose n(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 PM and 1:14 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 16, k: 2}. What is prob of sequence ttt?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 217\/10 or 1?\nAnswer: 217\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-21)\/(-9) + 8\/12. Let o(q) = 11*q + 2. What is the remainder when o(y) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2686*n - 8290. Give m(3).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hdeoeohd. Give prob of sequence ohho.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -141 + 111 = 5*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 31778955.\nAnswer: -1\/31778955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 0 - (1 - (18 + -13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -141, 5, -5, -25, 3, 2 in descending order.\nAnswer: 5, 3, 2, -5, -25, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37, 74, 117, 178, 269, 402?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*q**2 + 60*q**2 - 50 + 2*q**3 + 30 + 20.\nAnswer: 2*q**3 + 135*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58, 83, 130, 205, 314?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25231374, -50462748, -75694122?\nAnswer: -100925496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, q: 6}. Give prob of picking 1 v and 1 q.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*a - 20*a - a - 22 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/12*11)\/((180\/12)\/(-60))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a68c - b5?\nAnswer: -a752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(275) + 1)*2 + sqrt(275)*3 + -4 + sqrt(275))*-5)**2 - (1 + (-1*(-2 + sqrt(275)) - (sqrt(275) + (5 + sqrt(275) + 1)**2))).\nAnswer: -2930*sqrt(11) + 247908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-5 + 0 + sqrt(363) + (sqrt(363) - 2*(sqrt(363) + -2)) + -1 + -4*-5*sqrt(363)))**2 + 0.\nAnswer: -22000*sqrt(3) + 3630100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -17 and -1012\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, k: 4, e: 4, w: 3, q: 4}. Give prob of sequence euw.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 plus -105497862731?\nAnswer: -105497862730.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -554 + 268. Let j = 290 + a. What is the third biggest value in j, 1.1, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 114 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:54 PM and 2:30 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3588 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-3))\/(((-1750)\/1890 - -2)\/((-1)\/(-3))).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 10:05 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4947?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -9.4 - 0.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -3*v + 21, -v = t + v + 12. Is t\/(-9) - 386\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhuu when four letters picked without replacement from uwxthurrtuhu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(200) + -1)*6 + (sqrt(200) - 6*sqrt(200)*-1) + 0 + 2)**2.\nAnswer: -780*sqrt(2) + 33809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 - 7*q**2 - 10*q + 12. Let p be b(8). Are p and -4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, w: 3, r: 11, n: 2}. What is prob of picking 2 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9629 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + 2 - (21 + -3 + -9 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, -0.1, 2\/9, 201?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-264)\/36 + (-1)\/(3\/2). Let m be 9\/(-28)*o\/3. Sort 0, m, 1\/2, -5 in ascending order.\nAnswer: -5, 0, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.95 - 0.95. Let k = n + 21. Which is the closest to -1? (a) k (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15 + 11. Let p = -348401\/2 + 174200. Which is the second biggest value? (a) l (b) -0.8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 57403*j**2*t + 83*j**2 - 279 wrt t.\nAnswer: 57403*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -244013 + 242431?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2060 and 1648?\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -252*d - 28. Let b(a) = 28*a + 3. Calculate -28*b(p) - 3*u(p).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o + 1242 = 38*o. Calculate the highest common divisor of o and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 145 divided by 29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 51071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a + 3*a - a)*(25 - 11 + 5).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3175934\/309 not equal to 10278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16.7 + 16. Let q = 1.7 + d. Which is the nearest to -0.1? (a) q (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 2*y. Let b(i) = 25789316*i**2 - 769335*i + 51289. Let j(q) = 3017*q**2 - 90*q + 6. Let c(r) = 6*b(r) - 51289*j(r). Calculate x(c(p)).\nAnswer: -6034*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1057.9 and 2270461?\nAnswer: 2271518.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12968239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.97 - -0.03. Let p = q - 1. Let d = -1 - -3. Which is the smallest value? (a) -0.3 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -529781*c*i - 392162*i wrt c?\nAnswer: -529781*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 15 = 0, -5*h = -34*g + 31*g + 20 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 5*u - 812, u - 3*j = -7*j + 175. Let o = 162 - u. Is -2\/185 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that r**3\/5 - 262*r**2\/5 + 1271*r\/5 + 3598\/5 = 0.\nAnswer: -2, 7, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 693 - 455. Suppose d - 445 = t. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11863*x - 26237*x + 14374*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r*r**35)*r*r))\/(r\/((r\/(r*r**(1\/7)))\/r))*r**(-11)*r**(7\/8) assuming r is positive.\nAnswer: r**(1217\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 4, -301, 1, 0 in ascending order.\nAnswer: -301, -6, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 139 + -83. Suppose 0 = -62*y - 14*y - 76. Let w be y\/(-4) - 126\/q. Sort w, -1, 0 in increasing order.\nAnswer: w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/11)*(d\/(d*d**(-3\/2)\/d))\/d*d**(-1\/3)*d**(-5))\/((d*d**(-1\/3)*d)**(-3\/4))**(-2\/15) assuming d is positive.\nAnswer: d**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -49*d**2 - 368*d - 121. What is o(-7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (72 - 94 - (8 + (1 - -1)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -134, -163, -240, -389, -634, -999, -1508?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -5) + (3 - (-2 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.06, -1\/10, -0.4, -4, 13\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*m - 10 + 2. Differentiate 14 - m + 10*z - 6 with respect to z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -725 - -1748. Is w a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(2\/7)*s)**(-1\/16)*s*(s**(1\/5)*s)\/s*s*s**12)**(-44) assuming s is positive.\nAnswer: s**(-21648\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11\/4 + -69\/28. What is the second biggest value in g, 2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25 or 451271?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -4239 (base 12) in base 6?\nAnswer: -53313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 93933242 divided by -4084054\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 24, 5, -269, -44 in decreasing order.\nAnswer: 24, 5, 4, -5, -44, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1706499 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add 220592.8172 and -3810.2.\nAnswer: 216782.6172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 4*n. Suppose n = 5*s - s. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -160a74 (base 11) to base 2\nAnswer: -111101000101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 - 1)\/((-3)\/(-15)). Suppose -3*u - 21 = -q*u - 5*g, -4*g = -12. Suppose -s + u + 1 = 0. Solve 3*w + 2*i = -0*i + 19, 3*i + s = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1750514 times 1.3\nAnswer: 2275668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -5*i**2 + 8 - i**2 + 26*i - 16*i + 17*i**3 - 13*i. Let w be q(-4). Let o = w + 18653\/16. What is the common denominator of -103\/18 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 - -11. Let o = -0.08 + 6.58. Let h = 7 - o. What is the third biggest value in y, h, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - 14 = o, -10 = 287*r - 285*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 48.3 - 51.3. What is the closest to r in -1\/20, 2\/21, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m - 1. Let r be b(-4). Let v be -3 + (184\/2 - -1). What is the greatest common divisor of v and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-63)\/(-14) - 5)\/((-1)\/(-2)). Let i be (23*-1)\/(j*(1 + 0)). Find the second derivative of 12*c - 1 + i*c**5 + 22*c + 1 wrt c.\nAnswer: 460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 647*t**3 + 5*t**2 - 3*t. Let c be x(1). Calculate the highest common divisor of 33 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -14*f + 20. Suppose -2*z + 4*p - 8 - 20 = 0, p + 47 = -f*z. Sort -0.2, 15, z, -1\/6 in increasing order.\nAnswer: z, -0.2, -1\/6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8696.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o - 2. Let a be w(2). Let x = a + 5. Let t(u) be the first derivative of u**2\/2 + 5*u + 2. Calculate t(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 60\/(-36) + (-4 - 20\/(-30)). Put -33139, -4, y in increasing order.\nAnswer: -33139, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 30 - 23. Suppose 0 = a*n - 5*n - 18. Suppose -12*f + 5*f = -49. Solve 4*x + 5*k + 7 = 0, 5*x - n - f = 2*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172940 is divided by 188?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381916623?\nAnswer: 3, 11, 11573231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7290 is divided by 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + 2 + 4 + 2. Let s(z) = 13*z**2 + 2*z + 1. Let t be s(-1). Suppose 2 = -w*j + t. What is the highest common divisor of j and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, 81, 121?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/((-350)\/330)*33\/99.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -4\/5, -0.1, 0.16, -2\/7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -14 + 8*q**2 + 2*q - 3*q**3 + 7 + 4*q**3. Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let j(y) = -y**2 + 18*y + 5. Calculate the least common multiple of (-2)\/(-9)*3*6 and j(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2249145 is divided by 2001.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -30\/451 and 19\/451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of 1\/15*w**6 + 0*w**3 - 1\/2*w**2 - 5\/6*w**7 + 1\/4*w**4 + 0*w**5 + 1 - 63*w. Find the third derivative of o(r) wrt r.\nAnswer: -2100*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0471389032 rounded to 5 decimal places?\nAnswer: -0.04714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1306 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: In base 13, what is 142a0 - 281?\nAnswer: 1401c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 1 + 9*d - d - 8*d - 2*d + 2*d**2. Let m(c) = c + 11. Let y be m(-5). Let l = 8 - y. Calculate x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6030.629 milligrams?\nAnswer: 6.030629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000016606344 rounded to seven decimal places?\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 + 10. What is the units digit of (52\/(-6))\/(b\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (((-4*sqrt(208) + 3 - ((sqrt(208) + 0)*-6 + sqrt(208))) + 1 + 2)*3)**2.\nAnswer: 432*sqrt(13) + 2194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1504 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 54178 < 54177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 652132147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(143) + -1*sqrt(143)))\/(6*sqrt(55)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r*r**(5\/3))\/r*r*r**(3\/25))\/(r\/r**25)**(-2\/123))**(1\/32) assuming r is positive.\nAnswer: r**(2611\/24600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 8 + 16 - 5*s.\nAnswer: -5*s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -87\/10 and 43\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = k + 4*l, 2*k + 3*k - 45 = 3*l. Let z(p) = -p**3 - 2*p**2 - p. Let u be z(-3). Calculate the highest common factor of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 109900 rounded to the nearest one thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-7)*((-567)\/72)\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (40\/110)\/(9 + (-1176)\/132). Solve -250*w + n - 1 = -251*w, 0 = 4*w - r*n + 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 336 - 160. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 8*y + 37. Let g(c) = -2*c - 9. Let v(z) = 9*g(z) + 2*t(z). Let a be v(-8). Solve -a = 3*x, 24 = 3*h - 6*x + 2*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**2\/6 - 602461*g\/3 + 1204925\/2.\nAnswer: -(g - 3)*(g + 1204925)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 2, y: 3, k: 6, g: 5, u: 2}. What is prob of picking 2 g, 1 j, and 1 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/17)*r)**(-2\/81)*(r**(-5\/6))**(-49))**(-1\/5) assuming r is positive.\nAnswer: r**(-7493\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from glgglgg. What is prob of sequence ggg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4\/13 + -33\/65. Let w be (-1396)\/(-10) + -9 + 5. Let z = w + -136. Which is the closest to 1? (a) z (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174 = -5*w - 169. Which is smaller: 2\/185 or w?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/(5\/(-2)) + -6. Let d(l) = -2*l**2 - 3*l + 1. Let p be d(z). Let u = 31 + p. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*u + 2. Suppose -2*l = u*l - i - 58, 0 = -5*l - 3*i + 64. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1558440 and 36720?\nAnswer: 52986960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 - 9*x + 1899. Determine m(-49).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/(30\/((-160)\/16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/(h*h**13)*h*h\/(((h**0*h)\/h)\/h)*h*(h**(-14)*h)\/(h**(2\/37)*h) assuming h is positive.\nAnswer: h**(-853\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 126, 167, 206, 243, 278, 311, 342?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 - -0.1. Let q = -165 + 168. Which is the closest to -2\/5? (a) z (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 - 15. Let k = -166 - -153. Let l = u - k. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 3*s**2 - 1. Let h be v(-1). Suppose 0 = h*o + t - 45, 0 = -0*o - 2*o + 4*t + 40. Suppose -190 = -4*j + o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of -2956*w**7\/7 + 2*w**3\/3 + 17*w**2 - 52*w + 7832. Find the third derivative of i(f) wrt f.\nAnswer: -354720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -0.307, 0.3, -10, -18 in descending order.\nAnswer: 5, 0.3, -0.307, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 161 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59697.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1722, 3455, 5188?\nAnswer: 6921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*t - 44*t + 6 = 0, s + t = 319. Suppose 0 = -3*i + s + 3101. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 205 and 5288600455.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, j: 1, w: 3, h: 3, l: 2, m: 3}. What is prob of sequence hmhw?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -924 - s**3 + 846*s + 0*s**2 + 926 + 2*s**2 as d + z*s**3 + b*s + l*s**2 and give b.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -61\/30724 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7960, -7947, -7936, -7927?\nAnswer: -7920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 30337157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 5*g**6\/36 + 7*g**5\/3 + 55*g**4\/8 - 280*g**3\/9 + 80*g**2\/3 + 75. Suppose x(v) = 0. What is v?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -426*m**3*n**2 - 6*m**3*n*r**2 - 13*m**3*r**3 + m*n**2*r - m*r**2 + 7259683*n**2*r**3 + 78*n**2*r + 2*n*r**2 wrt r.\nAnswer: -78*m**3 + 43558098*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -112, -279, -574, -1015, -1620, -2407?\n\"Answer: -3*s**3 - 46*s**2 - 8*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58 and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 + 21*s**2 + 26*s - 41. Calculate the remainder when i(22) is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2600 + 2636. Solve -6*r - 3*r + q = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/12*(5 + 58). Let d be (-70)\/n*(81\/(-25) - -3). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 22540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 155 - 159. Let n(y) = -5. Let i(u) = 9. Let q(t) = c*i(t) - 7*n(t). Let a(w) = 2*w - 1 + 3 - 3*w. Determine 3*a(k) + 5*q(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*((-13)\/16 - -1). Let w = 115 - 115. What is the closest to w in 1, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.51 times 1790545\nAnswer: -913177.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from muua. What is prob of picking 1 m and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a + 5*y - 41, -3*y + 98 + 75 = -4*a + 142 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (6\/(-15))\/(15\/(-172275)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 233129009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 29*l - 4*l - 3*l + (2 + 0 - 1)*(-6*l + 16*l + 2*l) + (3 + 0 - 5)*(5*l - 6*l - 2*l).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-33))\/((-3)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1001011 (base 2) to base 14\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 14675262*s. Let h(n) = n**2. Determine h(v(d)).\nAnswer: 215363314768644*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 42.1169ml?\nAnswer: 0.0421169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 732 + 487 = -60*r + 79 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -33845.87 and -2.\nAnswer: 67691.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12396 - -12379. Let l(r) = -r**2 - 14*r + 55. Calculate l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 61 - 60.7. Let s(h) = h + 1. Let g be s(-2). What is the closest to g in r, -2, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (112\/140)\/((-63)\/(-30) - 2). Suppose q**3 + 0*q**5 + 8*q**4 + 24*q**3 + 2*q**5 - 9*q**3 - h*q**3 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 3. Sort 0, 1, t in descending order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t + 49. Let f be (4\/(-6))\/((-176)\/264) + 50\/(-2). Calculate w(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2. Let q(t) be the first derivative of t + 1. Let w(s) = 3*s - 5. Let v(a) = 5*q(a) + w(a). Determine u(v(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rzrozrokqkkzozqo. What is prob of picking 2 k and 2 r?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 4 = -0, i = -4*p + 7. Solve 0 = -2*b + h - 1, -i*b - 3*h - 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1706 (base 9) in base 7?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - -3 - (-468 - -456).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004295814 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 60 = -11*s. Suppose -8*k + s = -6*k. Solve -8 = k*b - b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 6*b + 5. Let s(m) = -7*m - 6. Let y(r) = 3*c(r) + 2*s(r). Let g be (-1 - (-1 - 2))*-1. Calculate y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 6:26 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004513 to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -15 not equal to -5743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -376?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 8*p**2 - p + 3. Let x = 36 - 34. Suppose -2*o - x = -2. Suppose o = -4*s + 4*b + 48, -s - 1 = b - 5. What is u(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.435 and -12043?\nAnswer: 12041.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s**3 - 7*s**2 + 8*s - 1. Let x(o) = 4*o**3 + 7*o**2 - 7*o + 1. Let u(t) = 3*n(t) + 2*x(t). List the prime factors of u(-9).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*b + 2*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 232451326 and 7563?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -r**5 + 33*r**4 - 119*r**3 + 83*r**2 + 120*r - 116 = 0.\nAnswer: -1, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 12112110201 (base 3) in base 11?\nAnswer: 74959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 4:55 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5521 + -6075.96. What is d rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 17 + 23 - 8)*(14*u**2 - 31*u**2 + 19*u**2).\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.054, -683, 1\/4 in descending order.\nAnswer: 1\/4, 0.054, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 0*i = -3*i - 414, -4*i = 2*l + 834. Let w = l - -424. Solve 2*h = 4*v, w - 2 = -2*h + 3*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -175332, -175305, -175280, -175257, -175236, -175217?\nAnswer: -175200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 2) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6773 + 9*i - 6846 - 9*i - 161*i**2.\nAnswer: -161*i**2 - 13619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 186 by -31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = d - 173. Let t = d + 10. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 8*f = 300. Suppose 15 = 5*x - 6*i + 5*i, 4*i + f = 5*x. Solve -5*n + 0*h = x*h, -4*h = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 166, 2515, 4854, 7177, 9478, 11751?\nAnswer: 13990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 7*k**2 + 378. Let n(h) = -h. What is n(f(m))?\nAnswer: -7*m**2 - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 5*x + 23, -43*q + 38*q - x + 27 = 0. Sort 2, 1, -208, -4, q.\nAnswer: -208, -4, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2313 and 49025577.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 187*h - 50202. Determine x(260).\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a = -7*a + 10. Let o = a + 15. Solve o = -5*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 5)\/(5\/8). Is z > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 3*j = 6*j + 19, h - 4 = 3*j. Sort -107\/2, h, 3 in decreasing order.\nAnswer: 3, h, -107\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 10:01 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(238)*2)\/sqrt(7))\/(4*sqrt(14)\/sqrt(7)) - (-1*(sqrt(272) + sqrt(272) + -1 + sqrt(272)) - (-3*(sqrt(612) + 0) - sqrt(612))**2).\nAnswer: 25*sqrt(17)\/2 + 9791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 8:15 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2490516 plus -293?\nAnswer: -2490809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*b**3*z**2 - 26*b**2 + 19*z**2 wrt b.\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/13? (a) 0.2 (b) -0.05 (c) 0.3 (d) -361 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -43576 + 1?\nAnswer: -43575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4*3\/(-6) + 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27984\/265 - (-42 + 146).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -p**3 + 87917*p**2 - 1930898275*p - 63815420625 = 0.\nAnswer: -33, 43975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/7 less than -85\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**5 + a**4 - a. Let r(g) = -17*g**5 - 4*g**4 + 14*g. Let n(i) = -4*b(i) - r(i). Find the second derivative of n(u) wrt u.\nAnswer: 420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that j**4\/5 + 14*j**3\/5 + 36*j**2\/5 + 34*j\/5 + 11\/5 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -63 - 78. What is the common denominator of (-1)\/4 + r\/4 and 7\/6*(-6)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -2*f - 51. Let r be c(-28). Let j be (-4)\/r*-2*(-5)\/(-2). Sort -97, j, -1, 0 in decreasing order.\nAnswer: j, 0, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (41805\/7432)\/(3\/4)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-28)*(-331)\/((-187346)\/(-1981))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -839 + 854. Solve 8*j = l + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3718 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10100111110100110001110110 + 101?\nAnswer: -10100111110100110001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the third derivative of -1\/12*j**5 - 3*j**2 + 0*j**4 + 0*j + 0*j**6 + 0*j**3 + 0 - 1\/30*j**7. Find the third derivative of s(b) wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -811, 4, 4\/9, 15 in increasing order.\nAnswer: -811, 4\/9, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand q**2 - 3*q**2 + 0*q**2 - 2 + 4*q**2 + 2 - 7*q**2 + 0*q**2 + 4*q**2 + (-1 - 1 + 0)*(-q**2 - q**2 + 4*q**2).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*n = 26*n + 1051 + 2174 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of k**4\/6 - k**3 - 2*k**2. Let u be (1\/(-1))\/(4\/(-20)). Is 8 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h + 7. Suppose -c = -4*c - 3. Let y = -4 + c. Give n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -w + 2*y + 48, -3*w + y + 188 = 0. Calculate the remainder when w is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5 + -5. Suppose 3*f - 4*f + 2 = g. Find the third derivative of 0*d**2 + 0*d**6 + d**6 + 2*d**f + 0*d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 74332726 divided by 2858951.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of 99*m**5\/5 + 8*m**3 - m - 136. What is the third derivative of u(d) wrt d?\nAnswer: 2376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 11 - 12*l**2)*(-1 + l - 84*l - 5*l + (1 + 1 + 0)*(-l + l + 2*l)).\nAnswer: 1008*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 1 = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g = -6*g - 2, 25 = -5*b + g + 37 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 5 - (8 - 0 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-20 + 20 + 4*r)*(1 - 4 + 2)*(179 + 2900 + 777) as x + t*r and give t.\nAnswer: -15424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 - -121688?\nAnswer: 121703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 8*l**3 + 4*l**2 - 7*l + 2. What is the units digit of y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v + 0*v + 0*v)*(v - 4*v + 5*v)*(-5 - 1 - 8) + v**2 - v**2 - v**2.\nAnswer: 55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.5 + -7.5. Which is the nearest to -16? (a) 3 (b) 1\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 316 + -314. Solve a = -w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1106274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 9*q**2 + 50*q - 90. Let p(n) = -2*n**2 - n - 1. Let s(j) = 4*p(j) + w(j). Let f be s(-48). Solve 0 = -4*l + 5*k - 18, l + f = 5*l + 5*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16869 + 10063. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -1\/3, -0.218?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-1))\/1*1\/(-29)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-6)*3 + 14. Suppose -5*o + 23 = -17. Suppose -58 = -o*d + 134. Calculate the greatest common divisor of d and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*r + 257101 = 92552 - 225225. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x + 15*x - 4*x + 0*x - 2*x + 4*x + (-2*x - x + x)*(1 - 4 + 1).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b**2 + 753 + 743 + 751 - 2998 + 751.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j - 8. Let d be i(-7). Solve 3*x + 9 = -d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from nnvvvnnvvbnunn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -100 + 100. Solve 3*h = -l, 0*l - 5*l + 3*h = b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 493304 is divided by 84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 6*m - 1. Calculate w(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -175\/902 - -1\/82. Let o = -12804.5 - -12805. What is the smallest value in -2\/3, 2\/9, q, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z = 3*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 20 - 16 = 0. Let n(i) be the first derivative of i**2 - 2. What is the smallest common multiple of n(2) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g\/(g**(-2)*g)*g)**(-41)*g*((g**(2\/5)\/g)\/g*g)\/g*g*g*g*g**(1\/7)*g)**24 assuming g is positive.\nAnswer: g**(-134784\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**3\/4 + 21705*g**2\/2 + 86811*g\/4 + 10851.\nAnswer: 3*(g + 1)**2*(g + 14468)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 209*s + s**5 - 209*s + (-1 - 4 + 1)*(s**5 + s**5 - s**5).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8984688 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -247910 in 0.3, -17.2, 0, -0.4, -0.2?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 + 15. Factor -6 + 0*v + 4*v**f - 2 + 12*v**2 - 4*v**4 - 4*v.\nAnswer: -4*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 6:36 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -13 + 3. Suppose -4*t + 3*q + 7 = -2*q, -o*q = -3*t + 4. List the prime factors of (33\/6)\/(t\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -891075*o**4 - 29412610140*o**3 - 242713020779532*o**2 - 1781378780736*o - 3268584192 = 0.\nAnswer: -16504, -2\/545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33\/44*(-168)\/(-294)*1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2) + 1)*5 + sqrt(2) + 1)**2 + (sqrt(120)\/sqrt(5))\/sqrt(12)*4)*1.\nAnswer: 76*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -3*w**2. Let k(d) = -d**2 - 2*d - 1. Suppose -21*v + 7*v + 14 = 0. Let i(f) = -10*f**2 - 26*f - 12. Let b(a) = v*i(a) - 12*k(a). Determine r(b(c)).\nAnswer: -12*c**4 + 24*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 243.2444 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1302, 1323, 1356, 1407, 1482, 1587, 1728?\n\"Answer: d**3 + 14*d + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -7*n - 9. Let i be x(-5). Suppose r = 2*r - i. Suppose z + z = r. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -27 + 27.5. What is the smallest value in p, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-z + 4 - 4)*(-1 + 1 + 4*z**2 + (19 - 19 - 8*z)*(50124 - 50124 + 48*z)) as b*z**3 + u*z + i*z**2 + a and give b.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.3 - -2. What is the third biggest value in x, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -t**5\/5 - 4179*t**4\/5 + 26922*t**3 - 599786*t**2\/5 - 7684113*t\/5 - 13681539\/5 = 0?\nAnswer: -4211, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(75\/5)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 2*m - 8, -5*p + 4*m + 36 = 0. Let d(i) = -4 + 10*i - 3 - p + 8. Let k(l) = -11*l + 4. Calculate 6*d(v) + 5*k(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of -1127*b**4\/6 + b**3\/2 + 5*b**2\/2 - 4*b + 2. Let c be h(-3). Round c to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10041020629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000668494 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/((7\/2)\/(-7)) + -7. Let s be (270\/a)\/(-3) + (-6)\/33. Solve 4*z + 4*j = -s, -5*z + 2*j = -2*j + 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*f + 240 = 4*f. Suppose -2087 = -5*c - 4*a, -6*a + 842 = 2*c - f*a. What are the prime factors of c?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5775 - -5775. Solve 14 = -5*m + 3*w, -5*m - 4*w - 28 = -o*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*i**2 - 13*i**3 + 6*i**2 + 10*i**2 - 24*i**2 wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/(-5*(-14)\/(-35)). Let i(k) = 2*k**2 - 13*k - 10. Let l be i(8). Suppose -2*a + 7 = -1. Solve 0*s + 4 = -a*s + 4*t, z*s = 5*t - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = -2*h - h + 8, -u + 2 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 394315*0.1\nAnswer: 39431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22966?\nAnswer: 2, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1454532 and 6758085.\nAnswer: 6861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 56\/5*12100\/(-93170)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f + 4. Let x(c) = 50*c - 35. Let h(g) = x(g) - 6*z(g). What is the derivative of h(m) wrt m?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 364*c**3 - 7*c**2*h**2 - 4*c*h**2 + 670*h**2 + h - 67 wrt c?\nAnswer: 1092*c**2 - 14*c*h**2 - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-417)\/278*3\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 324 a factor of 142205220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 864498577 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2073\/(-189) + 22\/4*(-156)\/(-78).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -13*s + 14*s - 5 - 10*s + 8*s. Let z(q) = -3. Calculate -3*x(d) + 5*z(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**2 + 2*c + 9. Let y be r(0). Suppose 0 = y*t - 122 - 58. Suppose 792 = -14*p + t*p. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h + 3*z = 8*h + 13, 0 = 2*h + 5*z - 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*f = -12 + 1. Let k be 2 - (-13)\/((-78)\/24). Put -3, f, k, -4 in descending order.\nAnswer: f, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -32, 2, 18 in ascending order.\nAnswer: -32, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -6*s**2 - 2*s - 1. Let f be j(-1). Let l = 7 + -10. Put l, f, 4 in descending order.\nAnswer: 4, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000015357 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -16, 294, 1426, 3884, 8172?\n\"Answer: 84*l**3 - 93*l**2 + l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2612634, -5225267, -7837902, -10450539?\n\"Answer: -z**2 - 2612630*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (5 - (30 - 18)) + 99 + 0 + -5\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 k, and 1 e when three letters picked without replacement from kkhokehkkhre?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 458 - 456. Let m = 393\/2 - 192. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -9\/17, -473 in ascending order.\nAnswer: -473, -9\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -r + 12, 0*j = -r - 5*j + 14. Let k be (5\/2)\/(r\/8). What is the units digit of (-4)\/20 - (-26)\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 111, 184, 257, 330?\n\"Answer: 73*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -155.39741*-0.5.\nAnswer: 77.698705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 12 = -5*y. Suppose -5*i + 4*z + 16 = 0, -y*i = i + 2*z - 22. Suppose 0*q = -3*q + 3*o + 51, -i*o - 53 = -3*q. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 93 a factor of 44763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 987231, 987233, 987235?\nAnswer: 987237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 6 + 2)*(107*s - 72*s - 80*s)*(2 + 3 - 6 + (-7 + 3 + 2)*(-3 + 1 + 0) - 1 + 0 + 3) as o*s + x and give o.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 10, i: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - 7 - 15) + 6 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be -8*(18\/(-4) + (-1 - -5)). Suppose 0 = u + 2*c - 13, 0*u - 3*u + p*c = 1. Solve -3*t + u*n = 37, -2*t - 32 = t - 4*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (24 - 2)*4\/(-16)*-238 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-36) - ((-73010)\/(-175))\/((-180)\/(-25))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 336\/7*38\/3. Let w be (-14)\/4*m\/(-56). Suppose 28 + w = 3*h. Calculate the remainder when 63 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*q**2 + q**2 - 5*q**2)*(4 - 2 - 4)*(q**3 - 1 + 1 + (0*q - 2*q**2 + 0*q)*(-4*q + 0*q + 2*q)).\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -43 - (-18 - 7) - -25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16971 is divided by 808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/((-26980)\/(-38)))\/(7\/(7\/1))?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1300818 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 - 16*i**2 + 16*i - 13. Let x be v(15). Let p = 7\/2 + -2. Find b such that p*b**x + b + 0 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12309877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/4, -59, -28, 1, -0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of 83\/60*v**5 - 1\/4*v**4 + 78*v + 1\/2*v**3 + 2*v**2 + 0. What is the second derivative of n(q) wrt q?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/216564 and -85\/2672?\nAnswer: 144664752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 213200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 27.485 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 16*g + 3. Let n(a) = 16*a + 3. Give -6*j(p) + 5*n(p).\nAnswer: -16*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 114*h**3*j**2 + 1698*h**3*j + 2*h**3 - 21*h**2*j**2 - 436*h**2 - h*j - 9*j wrt h?\nAnswer: 684*j**2 + 10188*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 12 = 5*u. Suppose -2*y = -5*v - 0*v - 5, 0 = 3*v - 2*y + u. Which is bigger: 1\/14 or v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 40130 or 40131?\nAnswer: 40131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-1)*(-5 + 0). Suppose 2*d - 2*q - 3*q = 1, d = s*q - 7. Calculate the greatest common factor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 193, 388, 585, 784?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 4*h = 3702, 5*h - 5431 - 125 = -3*a. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81590331 = 1037*n - 800*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5\/8 (b) 1 (c) -2 (d) -0.17 (e) -1\/8 (f) 6\/17 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 + 3. Let s be (-119)\/(-7) + 2\/k. Calculate the greatest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.074, -0.44, 0.3 in decreasing order.\nAnswer: 0.3, -0.074, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 33 = -3*u, -31*u - 36 = -34*u - 5*p for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c - 2*c - 3*c)*(3 + 0 - 2 + 0 - 1 - 1 - 1 - 1 + 0 + (-3 - 3 + 5)*(-1 + 3 - 1) + 4 - 1 - 1).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**2 + 13*v - 29. Let s be (30\/5)\/(1\/((-1)\/(-2))). Let f be m(s). Let l(h) = 3*h. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvxxmxvvmxxvxmvlm. What is prob of picking 3 m?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + 5*u - 1. Let l = -3 + -1. Let c(z) = -z + 1. Let v(s) = -3*s - 1 + 1 + 2. Let o(w) = 2*c(w) - v(w). Calculate l*o(q) + r(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, m: 1, r: 4, z: 1, p: 3, k: 3}. Give prob of picking 1 m, 1 r, and 2 l.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -463 + 1737234?\nAnswer: 1736551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2, 6, -1, -15 in descending order.\nAnswer: 6, 2, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 27857128361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -2*l**2 + 21*l - 36. Let d be f(8). Suppose -267 = -5*q + d*k, 0*q + 4*k - 39 = -q. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 32 = 7*s, s - 3*s - 5*r = -28. Let m = 3 + -7. Let z(t) = -t - 8. Let k be z(-6). Sort m, 3, s, k in ascending order.\nAnswer: m, k, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.353 times -1528969?\nAnswer: -539726.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 - -34. Differentiate 49*q - 21*q - b*q - 9 - 18*q wrt q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -3*a + 7. Give q(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (5 + 0)*49\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 5*d = -l, d = -5. Suppose 4*y - k = 153, 2*y = 3*y + l*k - 54. Calculate the remainder when 76 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2343 - 2531.7. Let l = r + 188.69997742. Round l to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/12*4*56\/(-224)*12\/(-28)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 12:23 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1256 is divided by 1202.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 28530*n + 400063. What is g(-14)?\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7294020 = -20*z - 31*z. Round z to the nearest 1000.\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1*(-19 + 3))\/((-2)\/32). Suppose k = 367 + p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -382.26 in -1, -0.39, -0.3, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -43 + 43. Let j(c) = 2*c + 3799. Is j(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 40300113423?\nAnswer: 40300113423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z**2 + 17*z - 3. Let w(m) = -11*m**2 + 26*m + 1. Let r(p) = -8*p**2 + 17*p + 1. Let q(c) = -7*r(c) + 5*w(c). What is 7*q(v) - 5*x(v)?\nAnswer: -3*v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/563535 and -209\/7560.\nAnswer: 13524840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -92445 - -160717. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11153360 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 25*m - 3. Let w be ((-25)\/(-10))\/(1\/2). Suppose 47 = -0*h + w*h - v, 0 = 4*h + 3*v - 30. Calculate the remainder when r(1) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (857\/5999)\/(3\/(-8))?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in -5, 0, 0.3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/8673420 and -81\/74900.\nAnswer: 43367100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**3 - 173*i**2 + 291*i - 2753. Give s(85).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = -134*u + 123*u + 413 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 492.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.9 - -34.9. Let t = a + -29.1. Let z = t + -4.7. What is the third biggest value in -4, 0.5, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1))**(3\/2))**43\/((m\/(m*m**(-1)*m))**17)**(-48) assuming m is positive.\nAnswer: m**(-129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 10:00 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -9 and -76409.\nAnswer: 687681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 2:10 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {v: 14, d: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1208 is divided by 318?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 9, 2\/11, 0.14, 1\/7, 0.24?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-350))\/((90\/63)\/(-10))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13*t*z**2 + 300*t*z + 3*z**4 + 3*z**2 - 7*z wrt z.\nAnswer: 26*t + 36*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 549.29 milligrams in grams?\nAnswer: 0.54929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31, -53, -95, -163, -263, -401, -583?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 + 1 - 1)*(5 - 1 - 8).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 10:07 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -150 and 0.01.\nAnswer: -149.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -12\/19 (b) -0.2 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 25*j**3 - 5250*j**2 + 82765*j + 1015680. Let i(o) = 2*o**3 - 438*o**2 + 6897*o + 84640. Let v(z) = 35*i(z) - 3*w(z). Suppose v(d) = 0. What is d?\nAnswer: -8, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*s**2 - 3*s**3 + 6*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(-4)\/d)*d**(-6))**(-4\/37))**20 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 205 (b) -9\/11 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 9*x**3 + x**2 - 21*x - 93. What is h(5)?\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**2 + 16*y + 4. Let q be s(16). Calculate the remainder when ((-2)\/(q\/(-79)))\/(8\/16) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2583, 4908, 7235, 9564, 11895, 14228, 16563?\n\"Answer: l**2 + 2322*l + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 + 2*n + 3. Let h be v(4). Let g = 14 + -31\/2. Which is the second smallest value? (a) h (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 - 1. Suppose -11*o = -5*o - 12. Let q(f) = f**3 - 2*f**2 - 2. Determine o*q(l) - 4*k(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 235, -159, -819, -1745, -2937, -4395?\n\"Answer: -133*i**2 + 5*i + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 2*m**3 + 20*m**2 + 17*m - 4. Let z be d(-9). Suppose i = 6*f - 3*f + 3, -3*i = z*f - 9. Solve f = -0*j + 4*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (32\/(-4) + 6)*547\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000747298 rounded to seven dps?\nAnswer: 0.0000747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 29295 and 984870.\nAnswer: 20682270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 - 6*k**2 - 3*k - 24. Let t be c(-6). Let s be (-18)\/(-21)*(-14)\/t. Solve 0 = 2*z - 2*r - s, -4*z - 5*r - 8 + 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-7 - -1)\/(1148\/771292*(-4)\/14)?\nAnswer: 3, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 12 (b) 493 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-1*1)\/((2\/(-24))\/((-39688)\/11616))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**3 - 5232*r**2 - 758288*r.\nAnswer: -4*r*(r + 166)*(r + 1142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 11:41 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -12\/7, -3, 23, -6\/17 in descending order.\nAnswer: 23, -6\/17, -12\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -191*b - 5*b**2 - 5 + 5*b**2 + b**2 + 187*b = 0 for b.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/(-16))\/((-87)\/58). Which is the nearest to 51? (a) m (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of m**2*x**4 - 2*m**2*x**2 + 15*m*x**4 + 92*m*x**2 + 8*x**4 wrt x?\nAnswer: 24*m**2*x + 360*m*x + 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -118641071*s**2 - 1793*s + 5851 wrt s?\nAnswer: -237282142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*c**3 - 457*c - 7503.\nAnswer: 18*c**2 - 457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 9 = -3*v, 4*v - 13 = 3*w - 0*w. Sort 3, w, -1, 1 in increasing order.\nAnswer: w, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4)\/((-45)\/16). Let o = v + 6\/5. Find the common denominator of o and (-6)\/(-20)*-1 - -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/6*2\/(-3). Let z = -147.627 - -147.927. Which is the closest to n? (a) 2\/3 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 425 - 373. Let g = b - -2851. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7491\/17 or -441?\nAnswer: -7491\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zzizi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (56\/(-21))\/(-4)*(-5)\/(-2). Let n(c) = c**3 + 6*c**2 + 5*c + 1. Let q be n(-5). What is the biggest value in 0, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 1. Let h be (-4)\/(-6) - y\/4. What is the closest to h in 5\/4, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8 + (2\/(-3))\/(5\/15). Solve -2*i + r = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4564 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 101. Let t(i) = -159. Let m(s) = 22*h(s) + 14*t(s). Let a(l) = l - 5. Give -2*a(y) + 3*m(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7 + 8 - (-2)\/6)*-3. Let v be (-28)\/(-2)*(2 - 98\/x). Suppose -119 = -10*n + v. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7.5 - -5.5. Sort c, -5, -2\/11, -3 in descending order.\nAnswer: -2\/11, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -378326\/5 (c) 11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -2542260 (base 8) to base 13.\nAnswer: -1b92a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6154\/(-2896))\/((-2)\/(-16)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 3 = -3. Suppose b + 8 = 5*l - 2*l, 2*l - q*b = 10. Suppose -4*j + l*g = -g - 168, 3*j - 5*g = 126. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, h: 5, v: 5}. What is prob of picking 1 v, 1 p, and 2 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 10 + 4*(-2)\/(-8) + -2. Suppose -7*j = -g*j + 60. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*z - 3*z + 3*z)*(1212*z - 3293*z - 6 + 6 - 1055*z) to the form n*z + t*z**2 + j and give t.\nAnswer: -12544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -4*r + 10. Let b(c) = c - 3. Let d be 24\/18*9\/6. Give d*n(y) + 7*b(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - -25. Calculate the least common multiple of g and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o + 5*d - 23, -5*o + 14*d = 10*d - 74. Calculate the lowest common multiple of o and 244.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (169 - 163) + -143 - -109?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.953*82.\nAnswer: 160.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -370.8806 - -371. What is s rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 894841242\/3421 + -261573. Calculate the common denominator of z and -19\/3421.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + 7. Let x(c) = 6*c + 6. Let r(n) = -4*n - 4. Let u(o) = 8*r(o) + 5*x(o). Let q(z) = 3*z - 3 - 2*z - z - 3*z. Give t*u(d) - 4*q(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*u = 41*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 5*c**4 + 1280*c**3 - 1285*c**2 = 0. What is c?\nAnswer: -257, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**3 - 4*f**2 - f + 3. Let p be y(4). Let l(b) = -b - 6. Let q(v) = v + 1. Let t(s) = p*l(s) - 5*q(s). Differentiate t(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 12, 27, 52, 87, 132, 187?\n\"Answer: 5*d**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 34 - -5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, r: 4}. Give prob of sequence kkkk.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 - 4*q**2 - 10*q - 7. Let d be u(6). Suppose d*t - 4 = t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 54998 - -270?\nAnswer: 55268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {v: 6, p: 5, o: 2, h: 1, z: 1, b: 1}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2\/95 + -8\/19. What is the third smallest value in -0.5, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 17 + 13 = 0. Solve 0 = -b*m + 12 + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 1. Let z(i) = 3. Let g(c) = 2*n(c) - z(c). Suppose -5*h + 5 = 10. Let s(r) = -r**2 + 2*r + 3. Calculate h*s(w) - 2*g(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = -5*n + 6*n, n + 2*a + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -5061132 take away 2372.821?\nAnswer: -5063504.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 16*g**2 - g + 7. Let x be w(3). What is the remainder when x\/(-518) + 3266\/14 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.11000067 + 0.11. Round i to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three quarters of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be -16*((-1)\/(-2) + 2\/4). Which is smaller: -15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-102 + 79 + 101 + (3 - 1 + 1)*(2 + 3 - 7) - 2 - 2 + 5)*(0*o**2 - o**2 + 3*o**2) as p*o**2 + d*o + i and give p.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 12215 times -4172\nAnswer: -50960980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*z**(-5)*z*z*z*z*z**(-5)*(z*(z**(2\/7)*z*z)\/z)**11 assuming z is positive.\nAnswer: z**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9 - -1)*3\/(-6). Suppose k*h - 4 = 32. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 18729396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -134 (base 7) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Do -295 and -296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let -2*d**3\/3 - 2410*d**2\/3 + 63526*d + 29357790 = 0. What is d?\nAnswer: -1253, -165, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 3*z + 113 = 0, 84*z = -5*o + 89*z + 225. Suppose 0*r - 2*r - 6 = -4*s, 12 = -2*s - 4*r. Sort s, o, 3, 4 in decreasing order.\nAnswer: o, 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -4*i - 3. Let y(a) = 2*a**2 - 10*a - 1. Let j be y(7). Let q be (-6)\/j + 237\/(-27). Let b = q - -6. What is n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the third derivative of -175*m**6\/24 + 95*m**5\/6 - 85*m**4\/6 + 20*m**3\/3 + 87*m**2. Let s(o) = 0. What is o?\nAnswer: 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from fvdvfdfvfvddfddfqdff.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 20433 divided by 4\nAnswer: 20433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1901\/7 - 272. Let t = 4 - 10.6. Let l = 6.5 + t. Which is the second biggest value? (a) l (b) r (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -721944 by 4.\nAnswer: -180486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, 15, -3, -4 in descending order.\nAnswer: 15, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 6 = 2*h. Suppose -3*t + 4*t = h. Suppose -5*f = -5*s + 10, t*s = -2*s - 3*f + 18. Solve -s*c + c = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -20*y**2. Let g(z) be the second derivative of -z**3\/3 - 5*z. Determine g(s(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 45616*f = 45615*f + 12 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -6147 to the nearest 100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 194*q + 8. Let d(h) = -65*h - 2. Calculate -7*d(v) - 2*j(v).\nAnswer: 67*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 9:34 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + -31013313310321?\nAnswer: -31013313310322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 68 + -63. What is the least common multiple of 1 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -14603*a + 0 + 14601*a + 12 + 4. Let p(h) = 154*h**2. Determine w(p(u)).\nAnswer: -308*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 6207, 6199, 6181, 6147, 6091?\n\"Answer: -w**3 + w**2 - 4*w + 6211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*m**4 + 214298*m**3 + 2*m**2 + 2*m + 35969?\nAnswer: -72*m + 1285788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 5*b - 16 - 0, 0 = -2*b + 8. Solve 8 = t*g + 4*n, -3*g = 2*g - n + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d + 0*d**2 + 4*d**3 - d**2 - 3*d**3 - 3*d + 2. Is 7 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -9*v**2 - 4*v - 16. Let m(r) = -45*r**2 - 21*r - 88. What is -4*m(i) + 22*o(i)?\nAnswer: -18*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 42614075 to the nearest integer?\nAnswer: 6528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, -0.1, 2\/19, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 195889, 195916, 195929, 195922, 195889?\nAnswer: 195824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 668801 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 772144*c*p*q**3 - 7*c*p*q**2 + 183*c*q**2 + 432*q**3 wrt p.\nAnswer: 772144*c*q**3 - 7*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 7*b = 2. Solve 3 = -d + m + b, 1 = -2*d + 3*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18719325 and 5526.\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21 in -0.65, 3\/2, -13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 97603773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16*6\/(-240))\/((-1)\/(5\/(-3)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*b - 14. Suppose b*p + 80 = 5*c, -c + 5*p + 32 = -0*p. Suppose -5*y + 2*y = -5*r + 253, 3*y - c = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + 21 + -15 - (0 + (2 - 6 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -0.0485 and 14393546.\nAnswer: 14393545.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/240)\/((-1450)\/(-1740)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 - -6410236655?\nAnswer: 6410236646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5851667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 309*q**2 - q - 307*q**2 + 4*q.\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -11550 times 0.1481?\nAnswer: -1710.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 3 p when four letters picked without replacement from {h: 4, p: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1160498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 + 26 = 12*z. Let c(n) = n + 15. What is the remainder when 21 is divided by c(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 6*g**2. Let t(q) = -1363*q. Calculate t(p(r)).\nAnswer: -8178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1589262 divided by -529754.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 17a57 - 50b5?\nAnswer: 12992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 3082 = -3*l, 3*l - 3*t + 0*t = 3090. What is the least common multiple of 7 and l?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + z + 7 = -3*z, 0 = -2*z + 4. Let h = -18 - -20. Suppose -i*y = h*t - 10, 4*y + 2*t - t = 15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 21 = -4. Suppose 4*o = 11*o - 119. Solve -33 = 4*l + s*z, -l - z - 2*z - o = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 144722191 divided by 1\nAnswer: 144722191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*s**2 + s**3 - 11*s**3 - s**3 wrt s.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 155788 and 1620984?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*m**2 + 2*m**2 - 3*m**2 + 0*m**2 - m**2 + 3*m**2 + (2 + 2*m**2 - 2)*(5 + 2 - 5) - 14*m**2 - 6*m**2 + 15*m**2 + (-2*m + m - m)*(-2*m - m + 6*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 10 = -5*p, -p - 6*n - 281 + 150 + 178 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 599031829 divided by -3.\nAnswer: -599031829\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 6*b**2 + 8*b + b**3 + 7*b**2 - 5*b**2 + 2. Let d = -413 - -288. Let p be d\/15 - -1 - (-3)\/9. Calculate r(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -3*f + 2*f + 26 + 21 - 47. Let d(j) = 73*j + 2. Determine n(d(a)).\nAnswer: -73*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0*(-1 - 0\/(-2)). Suppose 3*a + v = 67, -2*a + k*a + 5*v = -22. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 574 and 1278522?\nAnswer: 52419402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-2\/13))**(16\/7)*c**(2\/9)*c**(-8))**43)**26 assuming c is positive.\nAnswer: c**(-572588\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -29.52 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 6:26 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(48\/8))\/(1*8\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -17, -896, -22, -2, -4, 7, 4 in increasing order.\nAnswer: -896, -22, -17, -4, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -1.584, -2, -0.07, 13\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 11 - 31 = 0. Suppose -19*i = -g*i - 160. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*w**3 - w - 2 + 47*w**2 + 48*w**2 - 93*w**2)*(0 + 4 - 6).\nAnswer: -10*w**3 - 4*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + (4 - 1) + 2. Let -n**4 + w*n**2 - 3*n**2 + 5*n - 7*n + 2*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14204 and -2?\nAnswer: -28408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14*o**3 - 2*o*p**3 + 5*o*p**2 + 171*p**3 wrt o?\nAnswer: -42*o**2 - 2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 8*u**3 + 4*u + 2. Suppose 0 = 4*z - 3*z - 4*n + 7, 0 = 2*n. Let w(l) = 4*l**3 + 2*l + 1. What is z*w(o) + 3*r(o)?\nAnswer: -4*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/40 and -49\/25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7)\/7 - (-2 + -2). What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(-4) + -7 + 174\/24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j\/(j*j**(-2\/13)\/j)*j)\/j)\/j)\/((j\/((j*j\/(j*j*j*j*j*j**(-9\/7)*j))\/j))\/j))\/(((((j*j**(-8))\/j)\/j)\/j)\/j**(-2\/3)) assuming j is positive.\nAnswer: j**(1576\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90236674.\nAnswer: 2, 11, 1627, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 58 = -2*f, 3*f - 5 = -j + 6. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - p + 80 = 0, 3*p - 4*p - 166 = 2*g. Suppose 4*a + 68 = c, -242 = -4*c - 4*a + 130. Let f = g + c. What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9028 - -2588. Does 88 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 594422 = 111*a + 589649 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 45, -16, 12, -5 in decreasing order.\nAnswer: 45, 12, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = 2*y + 35. Let u(l) = -l + 1. Let b be u(y). Let x be (-11999998)\/(-3) + b\/12. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 - -24. Let k be (4\/18)\/(20\/45). Which is the biggest value? (a) q (b) 4\/23 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (133\/(-38))\/(21\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 17 = -c + 31, 4*c = -4*m - 96. Suppose 0*s - 24 = 2*s. Calculate the remainder when 11 is divided by 2\/s + (-76)\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-10)*q)\/q*q\/q**18)**(-4\/31) assuming q is positive.\nAnswer: q**(108\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/20)\/(15\/25). Which is the second biggest value? (a) r (b) 4\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((11 - 11 - 8*b)*(2*b**2 + 2*b**2 + 4*b**2) + 3*b - 3*b - b**3)*(5*b + 0*b - 2*b)*(-5 + 1 + 2) as u*b**3 + i*b + y*b**4 + q*b**2 + x and give y.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-7))\/((-80)\/168).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) -1 (d) 3 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1\/3, -19491, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 14*m**3 - m**2 + 1. Let d be z(1). Suppose 0 = t + 3, t + 44 = 5*p - 2*t. What is the greatest common divisor of p and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 0*h = 2*h - 14733, 3*f + 5*h - 44203 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 231021 + 210?\nAnswer: 231231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 3*i - 4 = 0, -4*y - 4*i + 8 = -0. Which is the smallest value? (a) -2 (b) y (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*k = -4*n + 46*k + 735, 2*n - 4*k - 372 = 0. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 + 16. Which is the nearest to -0.2? (a) -1 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 184648877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 143 + 103?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -5*w**3 - 2. Let v(h) = -25*h**3 + h - 11. Let o(t) = 11*i(t) - 2*v(t). Let p(n) = -4*n**3 - 3*n. What is 3*o(x) - 2*p(x)?\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = 15*p + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-4) - ((-655)\/(-20) + -14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {u: 1, c: 1, x: 2, z: 1, o: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 5*q**2 + 16*q + 40. Let z = -117 + 108. What are the prime factors of k(z)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-30)\/(-18) - 2\/3. Is 104*(g + 2)\/6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74571?\nAnswer: 3, 7, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107*a - 122*a + 4815 = 0. Suppose 322*y - 242 = a*y. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -22453 - -22803. Calculate the lowest common multiple of h and 22.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 7*y + 80 = 0. Suppose 0*i = i - y. Let t = i + -21. Is t > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 1) + 3 + 2. Let p be (40\/(-30))\/(m\/18). Let z(k) = k**3 + 8*k**2 + 11*k + 1. Let v be z(p). Solve -5*n = -3*n - 3*l + v, -l + 4 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*j + 2*j + 38*j)*(5*j - 4*j - 3*j) as i*j + d*j**2 + q and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*f, 3*k - 2*f = -7*f + 811. Let d = -261 + k. Let z(u) = u. Let w(s) = -s**2 + 3*s - 3. Determine d*w(i) - 3*z(i).\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvknskvsvs. Give prob of sequence kn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, s: 3}. Give prob of picking 1 s and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 23964792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4757\/46632 + 6\/(-48))*30\/4.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 42040781 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 1:20 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 25. Let m = h + -21. Sort -0.4, -0.3, m in decreasing order.\nAnswer: m, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 14. Let x = 7 + s. Let b = 2 + x. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -39*n + 17*n - 132 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1335196 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1003060777.\nAnswer: 41, 24464897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from {f: 6, d: 4, r: 1, v: 2, a: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/65)\/((-2)\/10). Which is the closest to 0? (a) 2\/5 (b) 8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + a**4)*(a + 11 - 29 + 11).\nAnswer: a**5 - 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be -9 + 11 + 1*-1. Which is smaller: 1\/4 or o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 6*y. Let g = -153 - -156. Let p(r) = -18*r + 18*r + g*r. Let d(x) = 4*x - 3. Let j be d(2). Determine j*p(b) - 2*l(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1550254.\nAnswer: 2, 61, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 209, 223, 235, 245?\n\"Answer: -q**2 + 17*q + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 34947113 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -87562 - 39058506.\nAnswer: -39146068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-59884)\/17693)\/((-10)\/65)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 243 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 1799353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 5*z - 1 = 0, 0 = -10*x + 5*x + 3*z + 13. Suppose x*i - 7 = -3. Solve -v + 4 - i = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 5, 11664, -15\/2 in increasing order.\nAnswer: -15\/2, 0.5, 5, 11664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 - 3*d**2 + d - 5. What is the remainder when a(-6) is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -215342.4 from -1.672645.\nAnswer: 215340.727355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - l)*(-5*l**3 - 20 + 20) + (-66*l**2 + 66*l**2 - 56*l**3)*(-2*l - 2*l + 2*l) + 2*l**2 - 2*l**2 - l**4.\nAnswer: 116*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2895721 millennia to months.\nAnswer: 3474.8652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9573847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 - 9*m + 4. Let w be r(9). Suppose w*i = -5*x + 234, x + 8 = i - 46. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12659 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: Put -4, 14, -5, 2, -6 in descending order.\nAnswer: 14, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -18*s**3 - 48*s**2 - 62*s - 34. Let i(c) = c**4 - 91*c**3 - 240*c**2 - 309*c - 171. Let j(m) = 22*g(m) - 4*i(m). Suppose j(a) = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3 and 1026.323?\nAnswer: 1023.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -52\/29 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -7*z**2 - 4*z - 5. Let u(d) = d**2 + d + 1. Determine 6*u(o) + y(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*t - 2*b + 1, 5*t - 4*b = 15. Let h be 5 + t\/(-1 + -2). Suppose h*r = r + 39. Solve -k = 3*k + 5*p + 25, 3*p + r = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*(2 + -2 + -8). Sort g, -1, -2 in ascending order.\nAnswer: -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -3, 1, 5 in descending order.\nAnswer: 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, -539, 2, 1 in increasing order.\nAnswer: -539, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 1.4 (d) 2 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 419707635 to the nearest integer?\nAnswer: 20487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -200*v - 3*v**3 - 4*v**2 + 3*v**4 - 4*v**4 - 17 + 202*v + 17 to u*v + g*v**2 + f + p*v**4 + k*v**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -535*r - 774*r + 399*r - 700*r - 406*r - 2226*r.\nAnswer: -4242*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3141, 3139, 3137, 3135, 3133?\n\"Answer: -2*r + 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -3*r**2. Let z be (5 - 15\/6) + 807\/6. Let o(y) = 2 - 2 + z*y + 115*y**2 - 137*y. Determine f(o(m)).\nAnswer: -39675*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -359 - -359.2. Sort f, -0.2, 1\/4 in descending order.\nAnswer: 1\/4, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13a (base 12) in base 11?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 717201, 1434433, 2151703, 2869011?\nAnswer: 3586357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 2:23 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 120350635 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/67, -3, -1, -5\/2, -0.39, -11, 5\/6?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 87696, 87706, 87716?\n\"Answer: 10*v + 87686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*b + 269 = -490 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 395832 + -5303832. Round m to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 79863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -2864*s - 22747. Give m(-8).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1106 - 450. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/20)*d)**(-13\/2)*d**27\/(d**(-9)\/d) assuming d is positive.\nAnswer: d**(1207\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -7.07558563 to 1 decimal place.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(4\/3)*m)\/m*m\/(m\/m**(-13)*m))\/((m\/(m*m**8))\/m**(-5)) assuming m is positive.\nAnswer: m**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from dddvqdyvyyyq.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + (-9 - -3 - -2 - 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(-5)\/(-60)*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3128272 and 5600?\nAnswer: 156413600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*v**6*z**2 - 95652*v**6 - 59*v**2*z**2 - 6*v*z**2 + 2*v*z + 132*z**2 wrt v.\nAnswer: -720*v**3*z**2 - 11478240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1482 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 21 = -4. Suppose -5*x + 4*c + 7703 = 0, 3*x - v*c = 5693 - 1079. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 87 - (70 + -107 - -73).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -16*f**3 + 7*f**2 - 72*f + 156. Give a(3).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -37, -10, 43, -6 in ascending order.\nAnswer: -37, -10, -6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.209*-3\nAnswer: -0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97688200 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*((m**(-1\/2)\/m*m)\/m)\/m)**(7\/2))**45 assuming m is positive.\nAnswer: m**(-945\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -4 (b) -145 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -614.73341 take away 4?\nAnswer: -618.73341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -q**3 + 16428*q**2 - 82119*q + 65692 = 0.\nAnswer: 1, 4, 16423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 9. Let g = 15 + -11. Suppose -p*t + 120 = g*h, 7*t - 170 = 2*t - h. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.72589808 and -5.\nAnswer: -3.6294904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 232 + 11900 - v**2 + 13963 - 5278.\nAnswer: -v**2 + 20817","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -20*a**4 - 176*a**3 - 168*a**2 + 176*a + 156. Let b(n) = 3*n**4 + 27*n**3 + 26*n**2 - 27*n - 24. Let t(f) = 32*b(f) + 5*i(f). Factor t(l).\nAnswer: -4*(l - 1)*(l + 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x - 426 = -736 + 550 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 7 + (4 + 1 - 0) + -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -368*-0.0339.\nAnswer: 12.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*t - 400 = -20*t - t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -461340, -922603, -1383866?\nAnswer: -1845129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -1. Let x(b) = -2*b + f + 0. Let j(k) = -22*k. Let l = 90978 - 90980. Calculate l*j(t) + 20*x(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -2*h**2 - 2. Let a(d) = 2*d**2 + d + 2. Let j(f) = 4*a(f) + 3*i(f). What is j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -4. Let j be z + -1 + (3 - 3). Suppose j*g - 210 + 51 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.89 + -0.11. Let k = t + 8. Let j = -23 - -22. Which is the nearest to j? (a) 4\/7 (b) k (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-648)\/156 + (-2)\/(-13) - -4. Calculate the smallest common multiple of 21 and (-6)\/(-4 - (-52)\/14 - q).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 142 + 10. Let b = d + -33. Differentiate -b*n - 29 + 40 + 16*n wrt n.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -17, 5, 2 in descending order.\nAnswer: 5, 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 653381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (135 - 76 - 17)*(2 - i - 2) + 0*i + 0*i + i - 1 + 2*i + 1 + (0 + 0 + 2)*(-2*i + 0*i + 0*i).\nAnswer: -43*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -0.5 (c) -0.4 (d) 9 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.06 - -0.06. What is the nearest to -0.1 in -0.3, -5, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 45\/(-5) - (-1 - 0). Let k = 11 + r. Let b(p) = 2*p - p**2 + p**2 - 1 - p**2 - 3*p**k. Determine b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*s**2 + 263*s**3 + 76*s**2 + 1236*s**3.\nAnswer: 1499*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112*t**2 + 256*t**2 + 1 - 133*t**2.\nAnswer: 11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 9, -3, -4, 981, -18 in increasing order.\nAnswer: -18, -4, -3, 4, 9, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes after 8:19 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 + 1. Let r be j(3). Let g(t) be the first derivative of t**2 + 10*t + 2. Let d be g(-5). Solve r = -5*v - d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 223 + -318. Let w = 15 - p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.031894 rounded to four decimal places?\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-161)\/(-49) + 4\/(-14). Suppose i - 5 = l*f, -19 = -2*i - 2*f + 31. Is (-15)\/i*8\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 - 6*z**2 + 6*z - 6. Let v be c(-7). Solve 2*f - 4*y = -4, v = -f - 4*y + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74765 divided by -14953?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t + 66. Let f be g(0). Let h(u) = 66*u**2 - 4 + u**3 - 128*u**2 + f*u**2 - 6*u. Let s be h(-5). Solve 4*q = 21 - s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -7*j**3 + j + 1. What is the remainder when 18 is divided by o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, a: 1, g: 4}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -15*k - 24. Suppose -7*b - 48 = -5*b. Let p(n) = -153*n - 1. Let z(u) = -687*u - 2. Let d(x) = 9*p(x) - 2*z(x). What is b*d(w) + 5*m(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + 18.4. Let n = w - 10.4. Which is smaller: 0.4 or n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((1\/(-1))\/((-104)\/156))\/3)\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 4*c = -20, 11*o - 14*o + 25 = -5*c. Solve 6*b - 4 = -2*i + 4*b, -i + 2*b - 4 = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 + 7*k**2 - 8*k + 3. Suppose 3*n + 5*g + 0 + 5 = 0, -n = -5*g - 25. List the prime factors of c(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 2*u + 8. Let r be y(-5). Let c = 15.91 + -16. Let x = c - 0.01. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87954?\nAnswer: 2, 3, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 443757255.\nAnswer: 3, 5, 19, 1557043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**2 - 26 + 25 + 71*u**2)*(20*u + 2*u + 2*u).\nAnswer: 1728*u**3 - 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**2 - 306*c - 1302. Determine m(163).\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -147*c + 1 + 149*c + 4. Let f(i) = i**2 - 7*i + 9. Let r be f(7). What is the units digit of s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 62853 + 2302?\nAnswer: 65155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 314327041 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80*v**3 + 57*v**3 - 631*v**3.\nAnswer: -654*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3395389.02 rounded to the nearest 10000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -5*r**2 - 2*r + 3. Calculate w(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(560) + sqrt(35) + (sqrt(210)*-1 + sqrt(210))\/sqrt(6))\/(sqrt(7)*1*-5 + 3*1*sqrt(7)).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2\/5 - 7774*n - 75543845.\nAnswer: -(n + 19435)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 980 and 7168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11 - -25. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/477130 and -31\/1049686.\nAnswer: 5248430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 997340879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 0*u**2 - 4*u**3 - 4 + 2*u**2 to the form d + j*u**2 + a*u + f*u**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.2 - 0.7. Let o = -7.43 - -2.51. Let r = o - 0.08. What is the second biggest value in -0.1, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 10:35 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Total of 12.5074 and 164.\nAnswer: 176.5074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310696849.\nAnswer: 31, 10022479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o. Let r be w(-2). Suppose 2*a - 5*b = 409, -5*a + r*b + 600 + 431 = 0. Suppose 4*g - a = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2982539ng to tonnes.\nAnswer: 0.0000000000000002982539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1779 or 15863?\nAnswer: 15863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 3716880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 106 - 71. Let w = y + -51. Let f(s) = s**2 - s - 13. Is f(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**2 - 22*w - 1. Let g(m) = -8705*m**2 + 88*m + 7594. Let n(i) = -g(i) - 4*o(i). Differentiate n(t) with respect to t.\nAnswer: 17402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 335 and -84.928?\nAnswer: 419.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4919148323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 47 + -47. Let l = -46 - -66. Let y be (24\/l)\/(2\/5). Solve -3*z + 5*x + 19 = d, -4 = z + x + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11133738 is divided by 1676?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + 9*o + 14. Let m be b(10). Suppose 0 = m*i + 9 + 3. Sort 2, 0, i in ascending order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 + 29*d + 2. Let c(z) = -z**2 - 58*z - 4. Let f(y) = -2*c(y) - 4*l(y). Let w(s) = 3*s**2 + 481. Give w(f(m)).\nAnswer: 12*m**4 + 481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -4260a (base 11) to base 4\nAnswer: -33020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -405, -481, -607, -783, -1009, -1285?\n\"Answer: -25*s**2 - s - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -32 + 161513732844\nAnswer: 161513732812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2357 (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 - 85*p + 48 + 86*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 3*m = 18, 6487*m = 7*b + 6491*m - 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -113b88 + -5?\nAnswer: -113b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-15 - (-2 - -2))\/(-1). Suppose -3*f + 6*f - q = 0. Solve -o + 3*t = 3, -2*t + 7*t - 5 = f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - 1000?\nAnswer: -bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -45 + (54 - 60)*(-1)\/3*1 + -8.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 140224 - 22?\nAnswer: 140202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 56? (a) -3 (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -119 - -71. Suppose 0 = -x, 2*r - 4*x - 42 = 104. Let k = q + r. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 21*t + 100. Give y(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 1\/22966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j + j - 6*j)*(0*j + 3*j - j) + (j - 6*j + 2*j)*(7*j - 2*j - 3*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2880, -2890, -2920, -2976, -3064?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -99469413 or -99469414?\nAnswer: -99469414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (56\/22 - 2)\/((-100)\/(-550)). Solve -2*n + 10 = q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1154 + 1154 + 136*i)*(i**3 - i**3 + 2*i**3) as k*i**2 + h + t*i**4 + q*i + g*i**3 and give t.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48)\/(-2)*48\/1824*-19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28, 22, 16, 10, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86868 is divided by 86768?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 5, e: 6, c: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.512924 litres to millilitres.\nAnswer: 4512.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26 + -23. Let t = 12.3 + -12.35. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2, 10, 12, -2, -38, -102?\n\"Answer: -p**3 + p**2 + 16*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4993823828 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2915*k**5 + 17910*k**4 - 415*k**3 - 18030*k**2 - 2500*k + 120 = 0 for k.\nAnswer: -6, -1, -2\/11, 2\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -151, 1, -1 in increasing order.\nAnswer: -151, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 71792142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - c + 1. Let d be u(1). Let a be 3\/2*d*12. Let k(w) = 2*w**2 + 4*w + 2. Let m be k(-4). Calculate the highest common factor of a and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - y**2 - 4. Let p = 33 - 33. Calculate f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 3*b**3 + 2*b + 40. Let n(f) = 1116*f + 4466. Let m be n(-4). Let o(x) = 4*x**3 + 3*x + 41. Calculate m*o(k) - 3*s(k).\nAnswer: -k**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 275926455 divided by -322721?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*l - 88541 = -208116 + 903887. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -89787*z**4 - 56031*z**2.\nAnswer: -2154888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 4*h = 12 + 11, 0 = -3*j + 4*h - 31. Let o be 6\/(-3)*j\/6. Is 14\/4*114\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7\/6 + 2\/3. Let n = -40 + -45. Let i = n + 82. Which is the closest to f? (a) 0 (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 432 - 431.8. Sort f, 4, -11, 5 in descending order.\nAnswer: 5, 4, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5 less than or equal to 11875060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 1.50683 to two dps.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.12 - 4. Let p = 0.4 + -0.2. Suppose -l + 3*c = 17, -28 = -c - 23. Put m, p, l in ascending order.\nAnswer: l, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(17) - sqrt(17))*1)**2 + (sqrt(68) + (sqrt(68)*2 - sqrt(68)))\/sqrt(4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 + h + 15. Let r be w(0). Let g(v) = v**2 + 8*v + 17. Let d be g(-13). List the prime factors of (d\/3)\/(10\/r).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a - 30. Give q(-19).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1866\/6220)\/(3 - 366\/(-40)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*c + 7*c, 0 = 4*s + 4*c - 72. Suppose -3*l = l - s. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-24)\/48*452\/2. Let p = o - -117. Solve -2*r = -p*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 77*r**2 + 329*r - 6. Give a(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -7.56. Let u = v + 14.74. Round u to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 33987910 by -5522.\nAnswer: -6155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23498?\nAnswer: 2, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-72)\/(-30) - 4\/10. Let k(v) = -2*v + 9. Let i(w) = 1. Let q(n) = j*i(n) + k(n). Let f be q(6). Which is the biggest value? (a) 2 (b) -2\/15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*i**2 - 220 + 10*i**2 + 2*i + 9*i**2 - 22*i**2 in the form m + v*i + j*i**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (18 + 6)*2\/16. Let k(q) be the first derivative of 0*q**2 - 7 + 0*q + 35\/3*q**t. Let h(u) = -u**2. Calculate k(h(r)).\nAnswer: 35*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2876.1 - 2876. Suppose 0 = -b - 3*b. Let n be b - 2 - (-6 - 1). What is the fourth smallest value in -6, u, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(187) - (sqrt(187) + sqrt(187) + sqrt(187)*2)) + sqrt(187))*4)\/(-2*sqrt(99)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -4*f - 13. Let a be m(-4). Suppose 0 = -3*r + 12 + a. Suppose r*w = 3*b - 4 - 1, -2*w + 14 = 2*b. Solve 0*n + b*v - 5 = 5*n, -3*n + 21 = 5*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of n**4\/4 - 8*n**3\/3 - n**2\/2 - 7*n - 7. Is t(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 21.36046 grams?\nAnswer: 21360460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {s: 3, x: 6, e: 2, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.1 - 1633388.498958\nAnswer: -1633388.598958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - 1 - (2 + 4 - 6). Solve 4*g - 3*g + u*i - 3 = 0, 5*g - 5 = -5*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2975?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 69068600 to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 - 48*y**2 - 8*y + 500. Calculate c(48).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w + 8. Let c be z(-7). Suppose -7 - c = -2*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15.129 - -15.2. Let u = j - 0.070963. What is u rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3069, -5900, -8731, -11562, -14393, -17224?\n\"Answer: -2831*j - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0*-20296214\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1962294.9719 + -1962681. Let w = u + 386. What is w rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + o**2 + 248*o + 249. Determine w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -51 - -79. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 AM and 11:39 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -6711906579634 and -0.3.\nAnswer: -6711906579634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0*w - 2 = 2*w, 0 = 2*y - 4*w - 10. Let l(a) = -2*a**2 - 5*a - 2. Calculate l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - -3)*1*2. Let y(f) = -2*f**2 + f**2 - 8*f**2 + 0*f**n. Let x(i) = -2*i**2. What is x(y(a))?\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1045437?\nAnswer: 3, 19, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of -9\/2*u**2 + 0*u - 2. Let n(y) = -2*y. Determine n(r(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**3 + 15*h**2 + 24*h - 21. Let p be a(-13). Solve 2*t - p*t = -o - 20, 2*o + t = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2000791 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a + 5. Let o(b) = 3*b**2 + b + 1. Let f be o(-3). Suppose 0 = 3*s + 5*y - f, -2*y = -s - 0*y + 1. Let k be (1 - 1)*s\/(-5). Determine x(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 24 (base 14) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 + 36*a**2 + 131*a - 485. Give u(39).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 + 15*s**2 - 26*s - 2. Calculate p(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 2*c**2 - 10*c - 20. Let d be o(7). Let k(r) = -12 + 67*r - r**2 - 61*r + d. Let l(p) = -2*p - 6. Let a be l(-6). Calculate k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*t - t - 3 - 5*t + 36*t - 17*t.\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -475 + 0*z + 0*z - 3*z**2 + 952 - 468.\nAnswer: -3*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11015285.\nAnswer: 5, 2203057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 102476 (base 13) to base 7.\nAnswer: 3125360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 452139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 414 and 322?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 55356949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -47 (base 14) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k - 2. Let b be o(-2). Let t = b + 8. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 + 5. Suppose -3*h + 15 = j. Let q = h + 1. Solve -q*b - 15 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 8 + 20. Let o = d + 40. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18 or 165?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10275839.\nAnswer: 7, 43, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4.444 rounded to 1 dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.1 (c) 3\/2 (d) 2 (e) 539374\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 2*k + 60. Let w(v) = -v - 60. Let q(h) = 4*w(h) + 3*z(h). Let d be q(32). Solve d*m - p - 14 = -3*p, -4*m - 5*p + 17 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 3, -0.07, -0.1, 0.5, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(0 + sqrt(44) + -4 + -1)**2 + 4.\nAnswer: -80*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 4*t - 6. Is 13 a factor of 58\/3 + 1\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 3)*(-3*l + 0*l + 0*l)*(179 + 177 - 357 - 1325*l**2).\nAnswer: 3975*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x + 1. Let a(n) = 12*n + 4. Let u(t) = -4*a(t) + 14*k(t). Let s(l) = 10*l + 1. Calculate -13*s(b) - 6*u(b).\nAnswer: -10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84153, -84158, -84163?\nAnswer: -84168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5443\/15 + -363. Let t = 0.06 + -0.06. What is the nearest to 1 in t, v, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 0. Let p(d) = -6*d + 3. Let l be p(h). Let j be 105\/l + (-6)\/33. Solve 0 = -4*m - j*c - 31, -2*m + 4*c - 7 = -19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3091*z = -3065*z - 130. Let r(n) be the second derivative of -6*n + 0*n**4 + 5\/4*n**5 + 0*n**3 + z*n**2 + 0. Differentiate r(u) with respect to u.\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -274 - -398. Suppose 3*p = -p + t. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (14\/42)\/(2\/108) and 822.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002861844 to seven decimal places.\nAnswer: -0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-713)\/351 - -2)*-15. Let m be (-13386)\/(-2691) + (-2 - 4 - -1). Let n = z + m. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 247, 225, 165, 49, -141, -423?\n\"Answer: -3*s**3 - s**2 + 2*s + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5 + 0)\/((-2)\/(-4)) + 3. Let b = 32 + c. Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -a - 21 - 39*a**2 - a + 42*a**2 + 12*a**4 wrt a.\nAnswer: 144*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 44*g**2*k**3*v - g**2*k*v + 15*g*k**2*v + g*k**2 + 49*k**3*v + 2*k**3 - k*v - 5 wrt k.\nAnswer: 264*g**2*v + 294*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 - -8. Suppose z + h + 0*h + p = 0, 20 = 4*z - 4*h. Solve 4*x - 16 + 0 = z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-28)\/182 + 118\/26*4. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 3 r when four letters picked without replacement from drsrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1734 is divided by 80?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, 0, 4, 21, -262 in increasing order.\nAnswer: -262, -4, -2, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z + 9 - 2 + 12 - 10 + 21.\nAnswer: -3*z + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - -4 - (-9)\/(-45)*-5. Solve 0 = r*s - 16, 0 = -2*c - 4*s - s + 26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(30\/1) + (-140)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 + 5*j**2 + 4*j + 5. Let r be z(-4). Let k be (0 + 1 + -2)*(-97)\/97. Suppose 2*q - 11 = 5*p + k, 4*q - r*p = 24. Solve 0 = q*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170 = -3*h - 2*u, -u - u - 62 = -h. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 30*k**3 + 1625*k**2 - 1380*k - 275.\nAnswer: 5*(k - 1)*(k + 55)*(6*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*b**4 + 19*b**3 + 22*b**2 - 19*b - 10 = 0 for b.\nAnswer: -1, -5\/12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from {i: 8, y: 3, z: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/11921 and 63\/7654985.\nAnswer: 53584895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 8 = -9*v. Is 4\/27 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35\/3 - 12. Let j = 1\/44 - 91\/132. What is the nearest to j in 2\/7, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 * 518061\nAnswer: -2072244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 + 67*j**2 + 49*j + 461. Calculate a(-66).\nAnswer: 1583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 8164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11488\/(-2872)*21\/(-354)*17\/2 + -2.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5041*q**2 + 2414*q + 289.\nAnswer: (71*q + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 22*o**4 - 2*o**3 - 46*o**2 + 7442*o?\nAnswer: 264*o**2 - 12*o - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -6*j - 1. Let r(d) = d**3 - 7*d**2 + 5*d + 9. Calculate the lowest common multiple of t(-1) and r(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*g - 11*g + 10*g**2)*(4*g**2 + 0*g**2 - 3*g**2) - 4206 + 4206 - 126*g**4.\nAnswer: -116*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20914, 20913, 20912, 20911, 20910, 20909?\nAnswer: 20908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*m**3 - 3*m**3 - 7*m**3 + 0*m**3 - 284 + 296.\nAnswer: -20*m**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(((-6)\/(-4))\/((-15)\/(-70)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p. Let y(t) = -6*t**2 + 12*t. Determine y(u(s)).\nAnswer: -54*s**2 + 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 104141204 (base 5) to base 7.\nAnswer: 3620662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 8120*r + n = 8118*r + 20, 0 = -5*r + 6*n + 16 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -95*j**2*k*p + 587590*j**2 - 6*j*k*p - 16*j - 39473*k*p wrt j?\nAnswer: -190*k*p + 1175180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5215, 5794, 6753, 8080, 9763, 11790, 14149, 16828?\nAnswer: 19815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -6 and 10946.\nAnswer: -65676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 15546, 31090, 46634?\n\"Answer: 15544*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 671800 from 0.3.\nAnswer: -671799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 30*k + 4 + k**2 - 7*k**2 - 4*k**3 + 2*k**2 - 26*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 41030166 to the nearest 10000.\nAnswer: 41030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 165 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 8, m: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-19 - 1)*(-12)\/(-8)*(-26 + -1819)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*t = 13*t + 3*v - 6, -t + v = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10*x**5 - 3*x**3 + 1127*x.\nAnswer: -200*x**3 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -27*w**4 + 30*w**4 - 161 + 13*w**4 + 30*w**4 + 4*w**2 wrt w.\nAnswer: 184*w**3 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 103 = -n - 2*q, -6*n = 2*q - 11 - 85 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-289)\/(-12) + (-7)\/(-28))*-5. Let j = s - -5849\/48. Find the common denominator of j and 30\/27*(-6)\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.182? (a) -15.2 (b) 5 (c) 1\/2 (d) -1\/3 (e) 0.105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(70) - ((sqrt(70) - ((sqrt(70)*2 - sqrt(70))*3 - sqrt(70))) + sqrt(70)))\/sqrt(10) - ((sqrt(448) - (2 + sqrt(448))) + 1)) + 1)**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48694 = -29*h - 356987. Let y = 19970 + h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4544 + 4557. Which is the nearest to -1? (a) -6 (b) 3 (c) -0.9 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -385 - -25217?\nAnswer: 24832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 76\/357 and 89\/284781.\nAnswer: 4841277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*n - 3*n + 225 + 7*n.\nAnswer: n + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-28) - (12\/(-7))\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -24*j - 3. Let i be l(-3). Let f = -59 + i. Differentiate 16*n - f*n - 11*n - 2 - 2 wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*c**5 + 1592*c**4 + 77796*c**3 + 1216800*c**2 + 5370624*c + 7133184 = 0. What is c?\nAnswer: -344, -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 42\/15 + -3 + 3\/15. Suppose 2*k + 43 = 2*i + 3*i, -2*i - k + 19 = j. Calculate the lowest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the first derivative of -s**5\/5 - 7*s**3\/6 - 9*s + 2. Let o(c) be the first derivative of t(c). What is the second derivative of o(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 194056 and 181864.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes after 11:35 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/1085 and 45\/1202087.\nAnswer: 42073045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5203 + -5203. Let l be 610\/(-2184) - 4\/(-14). Do l and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 10}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -4*u + 7. Calculate c(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 q, and 1 b when three letters picked without replacement from {r: 6, z: 4, q: 2, f: 2, l: 2, b: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.9 - 1. Suppose 2*p + 175 = 181. Suppose 9 = 3*a - 0*a + p*g, -g = -2*a - 9. Sort a, q, -5, -3 in descending order.\nAnswer: q, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 7*k = 30. Suppose u = -2*u + k. Let t(s) = s**3 - 4*s**2 - 3*s - 7. What is the least common multiple of t(5) and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 - q + 6. What is g(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 18925 (base 11) to base 3\nAnswer: 1100012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 6*w - 28 = 0. Let h = 8 + w. Let b = h - -1. Solve 0*m + 21 = -4*m - i, 10 = -5*m + b*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in 3*h**4\/5 - 63*h**3\/5 + 432*h**2\/5 - 972*h\/5 = 0?\nAnswer: 0, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-1))\/((-2)\/(-5)). Suppose -q*p + 14 = -11. Solve p = -3*v - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2. Let m(l) = 13102*l**2. Calculate k(m(w)).\nAnswer: 171662404*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f**3 - f**2 + f - 3. Let b be j(-2). Let p be (-1)\/(((-7)\/9)\/b). Suppose 0 = -3*m + p, s + 3*m - 4 = 4*m. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 5*o**2 - 2*o. Let t(n) be the third derivative of -n**5\/4 + 5*n**4\/24 + n**3\/6 - 8591*n**2. Calculate 4*t(z) + 11*y(z).\nAnswer: -5*z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1076, 1283, 1488, 1691?\n\"Answer: -b**2 + 210*b + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*p - 107 + 107.\nAnswer: -83*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -74036, -148857, -223678?\n\"Answer: -74821*w + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-3 + (sqrt(153) + sqrt(153) + 1 + sqrt(153) + 5 + (-1*(1 + sqrt(153)))**2 - 5*(5*1*sqrt(153))**2)) + -5.\nAnswer: -90*sqrt(17) + 113803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3250218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/(-3))\/(-2 - 0)*-18. Suppose -3*k + 240 = -84. Calculate the greatest common divisor of k and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**4 + 6*a**3 - 847*a**2 + 22*a + 604216 with respect to a.\nAnswer: 4*a**3 + 18*a**2 - 1694*a + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 59c1 (base 16) in base 10?\nAnswer: 22977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -688, 2\/5, 348?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 273698, 273751, 273804?\n\"Answer: 53*p + 273645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of b**4\/4 + 7*b**3\/3 + b**2 + 4*b + 12. List the prime factors of z(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -0.086?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -728 - 34*t**3 + 2778*t + 1523 + 10*t**2 - 795 wrt t?\nAnswer: -204*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 - 122*t**2 - 461*t - 12948. Determine o(-119).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i**3 - 6*i**2 + 2*i. Let u(o) = o**3 - o**2 - o. Let m = -2019 - -2023. What is m*u(d) - v(d)?\nAnswer: d**3 + 2*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -2*g**3\/21 + 88*g**2\/21 + 130726*g\/21 - 4994972\/7 = 0.\nAnswer: -282, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (7 - 2)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.07 - -0.43. Let w = 13\/14 + -19\/14. What is the closest to 2\/5 in w, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -83.5 times -4?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w + 25. Let n(d) = -4*d**2 - 15*d. Let a(b) = b**2 + 5*b. Let p(j) = -12*a(j) - 4*n(j). Determine p(k(y)).\nAnswer: 16*y**2 + 400*y + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*r - 8 - 12 + 21 - 2 - 14.\nAnswer: -11*r - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (235 - 133 - 25) + 38.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*x + 84*x + 4*k = -24, 0 = 4*k + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 16799 times 28\nAnswer: 470372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 15 - 5 - 5)*(-82*s**2 + 46*s**2 - 344*s**2)*(2*s**2 - 3*s + 3*s).\nAnswer: -13680*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 0*p**2 + 0 - 5 - 4*p**2 + 2*p**2 + 2*p. Let c(y) = 3*y**2 - y + 5. Let d(g) = 3*c(g) + 4*r(g). Suppose 2*h + 1 = -11. Determine d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 - 9*k**2 - 7*k + 10. Let j be v(-8). Suppose j*t + 3 = -t. Let i be t\/(-2)*(8 - 6). What is the greatest common divisor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, r: 1, a: 2, y: 6}. Give prob of picking 1 a and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 + 16*w**2 + 10*w + 17. Is j(-15) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -92\/585 and 44\/15.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -5*f - 15, f = 4*f + n + 1. Let g be 94\/(-312) - 2\/(-8). Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -1.1 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -7. Let s = -11.3 + v. Let z = 2.3 + s. Sort -2\/11, 4, z in descending order.\nAnswer: 4, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 530095.9947 to the nearest 100.\nAnswer: 530100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*l**2 + 0 - 1\/3*l.\nAnswer: l*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10064ab (base 14) in base 12?\nAnswer: -263b533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 205680332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 3*q - 3*q**2)*(2 + 1 - 4) + 17*q - 17*q + 32*q**2 + (3 - 3 - 2*q)*(2 - 2 - 4*q).\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 45*j - 91*j - 5 - j**3 + 46*j in the form i*j + s*j**3 + d + x*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4943641871?\nAnswer: 7, 17, 41, 1013249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -32 + 91 + -36 - -15?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 61419554 or 2?\nAnswer: 61419554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -16, 8, 36, 68?\n\"Answer: 2*u**2 + 18*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 4*y + 137 = -2*y, 37 = -k - 2*y. Let v be (-1)\/(-3 - k\/10). Suppose -8*t = -v*t + 20. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0, 119\/3517, -1 in ascending order.\nAnswer: -1, 0, 119\/3517, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4 - -5) + 1\/(-1). Let f(n) = 4*n + 1. Let t be f(w). Suppose b - 4 = -t, -4*v + 5*b + 197 = 0. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 + -6 - 1) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 686, 5711, 19352, 45917, 89714?\n\"Answer: 718*i**3 - i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -8*q**2. Let k be 1\/(-2) + (-783)\/(-18). Let f(l) = 20*l + 13*l + 13*l - k*l. Calculate c(f(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*x - 0, -3*x = 4*t + 10271. Let b = t - 2090. What is b rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 102 - 100. Let d(q) = -51*q**3 + 90*q**2 + 9*q - 90. Let z(r) = -5*r**3 + 9*r**2 + r - 9. Let v(f) = a*d(f) - 21*z(f). Factor v(n).\nAnswer: 3*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 10, -4*y + y - 343 = 4*q. Let z = 139 + y. Calculate the lowest common multiple of 58 and z.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -q - 16, -2*q - a = 3*q + 10. Let y = 2 + -2. Let x be y + q + 1*46. What is the highest common factor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.07 and 1.0792758.\nAnswer: -0.075549306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -24. Let h = -0.9559 + 0.4559. Which is the closest to s? (a) -2\/15 (b) -2\/11 (c) 0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 5*g - 10*g. Suppose -3*o + 2*u = -58, 2*u + 18 = o - 0*u. What is the smallest common multiple of o and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2 and -1936494816.\nAnswer: -1936494818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 105057 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 71877 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 12*v + 867 = 34*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f + 4. Let v be s(4). Let n = -37 + 35. Let w = -9\/25 + 161\/100. Which is the nearest to 1? (a) n (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**3 + b**2 - b. Let o be a(2). Let r be o\/(-9) + 1056\/9. Suppose 0 = 3*p + 4*v - r, -3*p = -p - 4*v - 92. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*a**2 - 4*a + 27 + 17*a - 13*a to u + i*a**2 + w*a and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.2 + 45590235.11757\nAnswer: 45590234.91757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36, 78, 120?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -850*u - 5946. Let x be a(-7). Solve -4*m + x*b = 4, -2*b = 3 + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17*k**2 + 391421*k - 32218821 with respect to k.\nAnswer: -34*k + 391421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that 112*i**3\/5 - 662*i**2\/5 + 948*i\/5 + 18 = 0.\nAnswer: -5\/56, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2409814 years to decades.\nAnswer: 0.02409814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 n, 1 z, and 1 v when four letters picked without replacement from vnznqvznnqvznqzq.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**2 + 1342*n - 6660 = 0. Calculate n.\nAnswer: 5, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 841039, 557, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/15, 2\/5, 4272, -43.\nAnswer: -43, 1\/15, 2\/5, 4272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 846064 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 17 divided by -662565\nAnswer: -17\/662565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1218\/5 + -1591\/5. Let o = p + 75. Let v = -3.94 + -0.06. Which is the nearest to 2? (a) o (b) 2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*n - 4*n + 3*n**3 + (0 + 0 - 2*n**2)*(2 - 2 - 6*n))*(373*n - 583*n + 2 - 4)*(1 - 4 + 2) to the form r*n**3 + c*n + d*n**4 + x + j*n**2 and give d.\nAnswer: 3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 95, 100, 107, 116, 127, 140?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (291205\/7 - 3) + (-320)\/(-1120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**4 - 8*x**3 - 17*x**2 - 10*x = 0. What is x?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 325055427*s*y**2 - 16*s - 6275*y - 19 wrt y?\nAnswer: 650110854*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 131*q**3*w - 3*q**2*w**2 - 2*q*w**2 + 1325*q wrt q.\nAnswer: 786*q*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/6)\/(-2*20\/(-24))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -5, 174?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -127157 not equal to -126991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32\/8 + (356\/534)\/(4\/141)?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + 13*i**2 - 12*i + 7. Let d be n(12). Suppose 2*g - d*g = 0. What is the second smallest value in -2\/3, g, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 15 = -7*x. Let l = -3101 + 3203. Factor k**5 - 105*k**x + 0*k**2 + 2*k**2 + l*k**3.\nAnswer: k**2*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8 + 6. Let s = n + -1. Let u = 3 + s. What is the smallest value in 2\/7, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 7969196, 7969218, 7969278, 7969394, 7969584?\n\"Answer: 3*x**3 + x**2 - 2*x + 7969194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 + 4*b + 20. Give l(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56556 is divided by 55?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51311424.\nAnswer: 2, 3, 179, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(1 + sqrt(7)) - (sqrt(7) - (sqrt(7) - (5 + (sqrt(28) - sqrt(7))))))**2.\nAnswer: 42*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 24, -2, 30 in decreasing order.\nAnswer: 30, 24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u**4 + 4*u**4 + 2*u**4)*(-6 + 6 - 7*u).\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14608 or 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -61988 (base 10) to base 16.\nAnswer: -f224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 183 + 549. Let w(t) = t**3 - 2*t**2 - 18*t - 12. Let u be w(-4). What is the remainder when f is divided by (-249)\/(-4) - (u\/(-16) - 2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -41*k**2 - 7*k - 5*k**2 - 10*k**2 - 22*k**2 + 6*k**2 as h + p*k**2 + g*k and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 3*w - 5*w - w. Let t(d) = 168084 - 168084 - d. What is n(t(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 - 21*y**2 + 22*y + 2. Let w be a(-22). Solve -w*v - 6 + 0 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-16)\/(-128))\/(2\/(-20)). Let y = -0.02 - -0.42. Let m = -0.2 + y. Sort 5, m, a.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 48 + -22. Suppose 2*j = -5*w + n, -13 = -3*j - 0*j - w. Find k, given that -95*k**3 - 2 + 96*k**j - 3*k + 0 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1395 = 54*u + 117*u - 264*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the third derivative of 7*a**6\/120 - a**3 + 3*a**2. Differentiate f(j) wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 2*t - 16, 4*t - 3 = p + 2. Let d(a) = 35*a - 111. Let g be d(7). Let s = g - 131. Solve 2*y - p*y + 9 = -3*u, s*y - 11 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58739 is divided by 391.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 19 (b) -4 (c) -0.03 (d) -88 (e) 2\/11 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9\/36*(1 + (2 - 2)). Solve -v*t**3 - 3\/4*t**2 + 1 + 0*t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**4 - 344*a**3 - 8912*a**2 - 65056*a - 138624.\nAnswer: -4*(a + 4)*(a + 6)*(a + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 + -0.1. Let j = 176\/3457 - -4852\/176307. Is j bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1\/31, 89, 3\/8, 4\/3, 5, 1\/6 in decreasing order.\nAnswer: 89, 5, 4\/3, 3\/8, 1\/6, 0, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 562355 is divided by 1207.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nvvv when four letters picked without replacement from vvvvvvvvvvvnv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w = 12*o + 52, 2*o + 253*w = 258*w - 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 40 (base 7) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 284205.\nAnswer: 3, 5, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*v - 81 = 238. Which is smaller: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 43995 or 43996?\nAnswer: 43996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 50 = -3*g. Let a be (-2)\/5 - 86\/g. Let c be 2\/a + 94\/18. Let w(q) = q - 7. Give w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 758300 rounded to the nearest one thousand?\nAnswer: 758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 23 + 111b5a?\nAnswer: 111b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*r + 5*a - 26, -4*a + 9 = 5 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14796 is divided by 141?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 3*a - 50. Let m be b(-15). Is m != -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 + 4*j**2 + 2*j + 1. Let b be g(-3). List the prime factors of 321\/5 - b\/(-5).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-3)*(-27)\/(-6)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vmmwymwmkmgwmkgmmmm. What is prob of sequence mkk?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 672 and 554784?\nAnswer: 3883488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**2 + 18*w + 20. Let s be j(-1). Solve 5*n + s*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 1 + -6 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -3*h**3 + 2*h**2 + 4*h + 2. Let r(c) = -3*c**3 + c + 5*c**3 - 3*c**3. Let x(z) = d(z) + r(z). Is x(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/182*-3)\/((-29)\/609)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136 - (-115 + 298) - (-2 + 14 + -1).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1005019.\nAnswer: 1005019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 9, -0.4, -0.2, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -285987, -571968, -857947, -1143924, -1429899, -1715872, -2001843?\nAnswer: -2287812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 + 3*d - 3*d)*(-4*d + 0*d + 2*d) + 7*d**3 - 16*d**3 + 3*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5324.698 millilitres?\nAnswer: 5.324698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + -5. Let p = g - -2. Suppose 4*f + 104 = 3*c + c, -p*c + 3*f = -103. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 - 8*t - 10. Let k = 361 + -367. Give f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**2 - 38*l. Let a(h) = -h**2 + 20*h. Let p(r) = 19*a(r) + 10*w(r). Let m(s) be the second derivative of -2*s**4 - 2*s. Determine p(m(z)).\nAnswer: 576*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-81)\/(-2673))\/(5\/12*(-8)\/40)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -1156 by 3216.\nAnswer: -289\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/5 - (-4312)\/40. Suppose -8*n = -11*n + u. What is the lowest common multiple of 8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34161?\nAnswer: 3, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*(x*x**9*x)\/x)\/(x*x**(3\/2))*(x\/(x\/x**15))\/x**(-4\/5))**(6\/11) assuming x is positive.\nAnswer: x**(729\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 32904.1 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 165398449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 72 - 43. Let d be (8\/2)\/(33 - l). Suppose 0 = 4*w, -2*s + w = -4*w. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -5 (c) 892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01 * 44319552.\nAnswer: 443195.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j + 1. Let r(x) = 11*x + 5. Suppose -2 = 2*y + 5*q, q = 3*y + 4 - 1. Calculate y*r(w) + 3*n(w).\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 124159 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = -q - 17, 5*t - 6*q = -377 + 404 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the third derivative of z**5\/60 - z**4\/4 + z**3\/3 - 11*z**2. Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -132*b - 7527. What is l(-53)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -7, 5, -0.3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 + 2 + (-3 - (2 - (4 - -6)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kl when two letters picked without replacement from klrkrfkknf?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - 10*s + 30. What is the remainder when 28 is divided by t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 + 9*k + 12. Let g be r(9). Let q = 24 - g. Calculate the least common multiple of 26 and q.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from {r: 8, m: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(539) + 1*sqrt(539) - (sqrt(11) + -2)*-6.\nAnswer: -12 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 - 9*c**2 - 8*c - 3. Let p be q(-8). Let g be (-190)\/p - (-1)\/(-3). Suppose 2*a = -r + 174 - g, 2*a - r = 109. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 4*z**2 + 5*z + 13. Let c be (4\/3)\/(10 - (-910)\/(-90)). Let x(h) = -10*h**2 - 12*h - 32. Calculate c*r(d) - 5*x(d).\nAnswer: 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 21*f. Let m = -2 + -18. Let q be -46*(2 + m\/8). Let c(b) = -2 + 24*b + 2 - q*b. What is c(s(l))?\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 17263247 (base 10) in base 11?\nAnswer: 9821151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3117241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17944.\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -495 - -499. Let w(r) = 2*r. Let t(m) be the third derivative of -m**4\/24 + m**2. Let i(u) = j*t(u) + w(u). Let h(v) = -17*v. What is h(i(p))?\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -0.021, -0.3, 0.09, 0.13 in ascending order.\nAnswer: -0.3, -0.021, 0.09, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 5:54 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of c**3\/2 - 33*c**2\/2 + 21*c. Let r be m(18). Calculate the greatest common factor of r and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 191 + -191 + 1 + -6 + -60 + (-15 - -26)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 10:53 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 829, 3359, 7577, 13483, 21077, 30359, 41329?\nAnswer: 53987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.033 and 180391.\nAnswer: -5952.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5*c**3*v*y**2 - 16661*c**3*y - 8000*c**2*y**3 - 29472262*v*y**3 wrt v?\nAnswer: -5*c**3*y**2 - 29472262*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -m + 493 + 1116, -3*m = -3*o - 4773. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -3*b - 14, -5*b + 6*s = 10*s + 18. Let j = 306 + -307. Put j, -5, -11, b in decreasing order.\nAnswer: j, b, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 35896? (a) -0.5 (b) -2\/3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12603?\nAnswer: 3, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-1925)\/900)\/(1\/7) + 15\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7865\/4719*108\/(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 5 - 5 + 2*h**2 + 1. Let b be u(1). Suppose 0 = -3*n - 3*i, i - 2 = -b*n - i. Solve 0 = 5*g - n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*t - 2*t + 0*t)*(0*t**2 + 0*t**2 + t**2) - 12*t**3 + 12*t**3 + 8*t**3 to the form g + d*t + c*t**3 + o*t**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 129*q**3 + 2*q**2 - 13*q - 6. Let c be h(4). Suppose 1510 - c = -10*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -350*u + 2454. What is z(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1.9 or -282?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 1 = -z. Suppose 10 - z = g. Let a(t) = -t + 4. Give a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-63)\/(-819)*-26*3\/2*8\/36.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10687 + -48?\nAnswer: -10746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3674905 and -3.\nAnswer: -11024715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -1620, 106, 5 in decreasing order.\nAnswer: 106, 5, -1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-9)*-10 - (-2 + 88\/(285120\/9675)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 - 20. Let q be (-4)\/(-4)*(14 - 0). Let b be t(q). Suppose 2*c = -0*c + b. Calculate the highest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43 (base 6) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*(14\/(-24) + (-10)\/(-40)). Suppose 7*v - 3*v = -3*o + 1467, -5*o + u*v + 2445 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llvvl. Give prob of picking 1 v and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 34924*p**2 + 135806.\nAnswer: 69848*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the second derivative of h**5\/20 + h**3\/3 + 5793*h**2\/2 + 20*h. Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 709 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 5, 2, -0.08, -70\/13?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 8*z - 2*g + 44, 0 = z + g + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 1 = -4*n + 12, -4*j - 4*n = -8. Find the third derivative of 17*a**4 + 8*a**j - 8*a**3 + 6*a**2 wrt a.\nAnswer: 408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68149226 to the power of 1\/2, to the nearest integer?\nAnswer: 8255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3182.5 + -3183. Which is the fourth biggest value? (a) -64 (b) 1 (c) -2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 11*j**3 + 3*j**2 - 3*j + 3. Let o(t) = -t**2 + 215*t - 838. Let p be o(4). Let v(a) = 76*a**3 + 20*a**2 - 20*a + 20. Determine p*v(u) - 40*g(u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2 + (2*sqrt(245))**2).\nAnswer: -2946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -347500 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n. Let j(i) = i**2 + 151*i. Determine j(h(f)).\nAnswer: f**2 + 151*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -0.090382?\nAnswer: -0.0090382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112275456.\nAnswer: 2, 3, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 273\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1140110334 - 12?\nAnswer: 1140110322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -9*t. Let a(l) be the second derivative of 0 + 0*l**2 + 7\/3*l**3 - 35*l. Calculate a(d(x)).\nAnswer: -126*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8332 + -8156. What is the least common multiple of p and 9?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/14? (a) 2\/7 (b) -60 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 9c3 (base 13) to base 9\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (69 - -3) + -4 - -4. Let u be s\/(-63)*14\/(-4). Suppose u*i - t - 56 = -5*t, -t = -4*i + 76. What is the highest common factor of i and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -113 - 151 = 17*a - 43 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68 + -228. Let n = s + 1301. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -3*t**4\/4 - 26907*t**3\/4 + 9379443*t**2\/4 + 26907*t\/4 - 2344860 = 0.\nAnswer: -9305, -1, 1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*f + 331 - 320 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 4*h - 3 = -20, -2*n + h = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 162031219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -4 (b) 134\/17 (c) -17\/5 (d) -10 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -72, 1, 7, 0 in decreasing order.\nAnswer: 7, 1, 0, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -678 - -677. Let x = 10 + -5. What is the nearest to o in 2, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46385113213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/20 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2798050\/181900 - (-62)\/(-4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.07? (a) 0.5 (b) -3\/4 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -355 and -354 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 + -10111?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 3*i + 81 = 3*q, -3*q + 5*i = -63. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (-5 - (-6 + 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -180 (base 15) in base 9?\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3432, -3450, -3466, -3480?\n\"Answer: x**2 - 21*x - 3412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -9*k + 639. Let j be p(-15). Is 775 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -27*z + 12. Give q(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sum -1.4275219 and 295614.\nAnswer: 295612.5724781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1))**(3\/13)\/(x**(-4)\/((x*x**(3\/7)*x)\/x)))**(15\/4) assuming x is positive.\nAnswer: x**(7095\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32 - 46. Let s = y + 32. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2359, -55 in decreasing order.\nAnswer: 1, -55, -2359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 414, 804, 1132, 1368, 1482, 1444, 1224?\n\"Answer: -5*u**3 - u**2 + 428*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 3*j**2 - 27*j - 408 = 0.\nAnswer: -8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4283 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 4 + 7540556*k**2 + 5.\nAnswer: 7540556*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -4*c - 4 + 3*c + 0 - 3 - c**3. Differentiate l(o) with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**3 - 2*d**2 + 2*d**2 + (d**2 - 2*d**2 + 8*d**2)*(-2*d + 3 - 3) + 78*d**2 - 78*d**2 + 23*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -10a7cc5 (base 14) in base 4?\nAnswer: -132101113011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-10)*n\/(n*(n\/(n\/n**(-2\/9))*n)\/n)*n assuming n is positive.\nAnswer: n**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -1 (c) 0.1 (d) -82 (e) 2776 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from oodbmbobddmobodmvb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -60*d*h**2 + 16*h**2 + 1 wrt d.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.11 (c) 1\/3 (d) -1 (e) -204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 - -17. Let x(g) = z*g - 2*g - 6*g. Let s(w) be the second derivative of -w**4\/3 - w. Give s(x(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -7 + 0 + (-8 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8930390 divided by -226.\nAnswer: 39515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2019503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 26472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 6 - 0. Let w = t - 0. Let v be ((w + -2)*3)\/5. Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 11 - 4*z + 5*z + 4*z. Let g(b) be the first derivative of 20 + 6*b + 3\/2*b**2. Determine -7*g(u) + 4*x(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yydt when four letters picked without replacement from {l: 1, z: 1, y: 2, t: 1, d: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -2*x + 2444. Let j(v) = 3*v. Determine j(l(q)).\nAnswer: -6*q + 7332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 9632.62 hours?\nAnswer: 34677432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*v + f - 19, -2*f - 115 + 113 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 4:11 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 49*x + x**2 - 5*x**2 + 111*x - 160*x. Let c(l) = -2*l - 23. Determine i(c(s)).\nAnswer: -16*s**2 - 368*s - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 160 = -5*t, 3*t + 36 = -k + 2*k. Suppose 5*d - k = 4*d. Suppose 3*m - 18 = 2*v, 3*m + d = 8*m + v. Solve -5*b - m = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8758 = 20*r + 9*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.49 + 2.39. Let d = -5762 - -5763.9005. Let t = d - p. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2590*r + 6. Let l(i) = -863*i - 2. Determine -5*j(s) - 14*l(s).\nAnswer: -868*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 245\/7519 or -50?\nAnswer: 245\/7519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, h: 1, j: 1, e: 1, p: 1}. Give prob of sequence jo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 2*j + 11*x + 120 = 0, 4*j = 20*x + 7*x - 29*x - 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*(z**(-7)\/z*z)\/z))\/z)\/(z**(-7)\/z))\/(((z**(2\/5)\/z)\/z)\/z**(-5)) assuming z is positive.\nAnswer: z**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -7065\/1709?\nAnswer: -7065\/1709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 + 7. Let j = 74 + -48. Calculate the remainder when j is divided by t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 4*u**2 - 16*u - 13. Let t be i(-6). Suppose -8*x - 45 - t = 0. Which is the nearest to 0? (a) -5 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 - 2*c**2 - 2*c + 2. Suppose -12 = -2*s + 6. Let y(v) = 4*v**3 - 9*v**2 - 8*v + 9. Calculate s*p(r) - 2*y(r).\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 6*q**2 + 2*q + 7. Let l be z(-6). Let k be 2\/l - (-2)\/5. Is (-19)\/(-4)*(4 + k) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - d. Suppose -20*z + 18*z + 2 = 0. Let v be (0 - -3)\/z - 4. Let s(f) = f**3 + 4*f**2 + 2*f. Give v*s(n) - 4*w(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fttttjjtfj. Give prob of sequence tt.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -6*s**2 - 60*s - 20. Let t be j(-9). Suppose -10638 = 25*v - t*v. What are the prime factors of v?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*b**3*d*k - 1889*b*k**3 + 8016*d*k**3 + 7*k**2 wrt b?\nAnswer: 6*b**2*d*k - 1889*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00795106 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3*1\/12)\/((13\/(-2262))\/((-46)\/69))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 0)*(-2*x**2 - 1 + 1).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**3 - a + 5. Let l(d) = -2*d**3 - d + 6. Suppose 0 = -6*w + 3*w + 9. Give w*l(p) - 4*s(p).\nAnswer: 2*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(76) - -1*sqrt(76)*2) + -3)**2 + 5*(sqrt(76)*1*-3)**2 + -4.\nAnswer: -36*sqrt(19) + 4104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (9\/2)\/3*(-40)\/(-30). Suppose -7*s + 135 = w*s. Solve -2*d + 3*d - 4*a + s = 0, -3*a + 12 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 414 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 8 + 4. Let u = -44 + 49. Suppose -u*l + n*l = -67. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 385 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 58\/(-6)*(-32412)\/37814?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -280*l - 35526. Give i(-121).\nAnswer: -1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*z - 0*z. Solve m = -3 - z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 161, -3, 0.1, -5?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - 1. Let w = -1.56 - 3.44. Let d = w - y. What is the second smallest value in -3, 1\/5, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1797745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -x + 2*f, 2*x + 3 = 7*x - 2*f. Is ((-3)\/(-3)*3 + 1550)*x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3655485203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.13 - -13.13. Let h = f - 13.1. What is the closest to h in 1, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**2 - 5*p - 29. Let d be b(-5). Suppose 3658 = d*u - 1697. List the prime factors of u.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1532 - 592. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 221565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1407*z - 1451*z - 1848 = 0 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -266 + 268. Let o(m) be the second derivative of 1\/6*m**3 + 7*m + 0 + m**p. Give o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3689311583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 8:32 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h**2 + h**2 - 3*h**2)*(18*h - 23*h - 2 + 3) + 2*h - 2*h**3 - 2*h.\nAnswer: -12*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165*q**2 + 90*q**2 + 62*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 5108 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 - 733 = -153*o. Solve 2*v = 5*n + 18, 2*v = -o*n + 2 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -45 - -53. Calculate the highest common divisor of 296 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h + 15 = 8. Let i(b) = -74*b**3 - b**2 - b + 1. Let r be i(h). Let q = 131 - r. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the third derivative of -3*d**7\/70 - 3*d**4\/8 + 9*d**2. What is the second derivative of r(b) wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -26443\/9171 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*a + 19. Suppose 0 = -0*n + 3*n - l + 86, -3*l + 146 = -a*n. Calculate the least common multiple of 8\/n - (-233)\/7 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 203 at most 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7644437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -37759*c - 151027. Calculate k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 0*c - 8 = 5*c, 5*c = 2*q - 32. Let o(b) = -18 + 21 + 2*b - b. Let a be o(q). Solve 0 = 5*p + 3*j - 4*j - a, -p + 17 = -4*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 16*l**3 - 312*l**2 + 2*l + 5. Let a(x) = 23*x**3 - 311*x**2 + 3*x + 7. What is -2*a(g) + 3*z(g)?\nAnswer: 2*g**3 - 314*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*114.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - 3. Let i = -10 - z. Let x = 4 + -4.2. Put i, x, -4\/9 in decreasing order.\nAnswer: i, x, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-338675045)\/(-4425) - (-8)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -243 + 360. Let n = 108.7 - z. What is n rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l - 1. Let n be x(5). Suppose 2*b = 2, 3*s = -0*b + n*b + 5. Suppose 28 = 4*k - 4*w, 0 = k - s*w - 11. Sort k, 1, 0 in decreasing order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 184 and 482672?\nAnswer: 11101456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 17 = -12. Let c(s) = -3*s - 23. Calculate the remainder when t is divided by c(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 4*f**2 + 7. What is n(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 0, 4*y - 8648 = -3*q - 4414 + 5342. What is the smallest common multiple of y and 1140?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -91*w**3 - 21*w**2 - 19*w - 24. Let l(t) = -57*t**3 - 15*t**2 - 12*t - 16. Let m(u) = 8*l(u) - 5*x(u). Let y be 3 - (2\/2 + 17). What is m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(((sqrt(11) - sqrt(99))*-3 - ((sqrt(275) + 5)**2 + sqrt(11))) + 3 + sqrt(99)\/sqrt(9)*2).\nAnswer: -1782 - 258*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9*((-5)\/(-3) - 5\/15). Let m = -1.7 - -3. Let x = m + -0.3. Which is the biggest value? (a) w (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, -1\/2, -2, -14, -189?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*b + b + 2856 = 0. Suppose 0 = -3*c + b - 75. Calculate the greatest common factor of c and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3264, 3266, 3268, 3270, 3272?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3281\/13 + -252. Let c(s) = -273*s - 35. Let p(r) = -16*r - 2. Let n(z) = 2*c(z) - 35*p(z). Calculate the common denominator of v and n(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 3 - 2*q - 2 - 5*q + 1. Determine u(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-20)*-10*(-6)\/45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, -195, 7\/5, 0, 17 in ascending order.\nAnswer: -195, 0, 2\/7, 7\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152921 is divided by 331?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 308 + -310. Sort 0.6, 1\/4, n.\nAnswer: n, 1\/4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 1\/3, 9, 1\/9, 2.17, 0.4.\nAnswer: -1\/2, 1\/9, 1\/3, 0.4, 2.17, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbba when four letters picked without replacement from {b: 3, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3913253, 7826503, 11739753, 15653003?\nAnswer: 19566253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 10 divided by 3\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand t**2 + 0*t**2 - 5*t**4 + 3*t**4 + (-3*t - 2*t - 3*t)*(-t**2 - 2*t**3 + t**2).\nAnswer: 14*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 12740037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 2:26 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 14936807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 19 + 14. Let g = -4 + r. Let j = -3 + g. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 122856989.68 rounded to the nearest 1000?\nAnswer: 122857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8382896 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.05619 and -35835.\nAnswer: 2013.56865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -121*j + 1449 = -28*j - 40*j - 30*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 80 = 5*c - 15, 0 = 2*c + o + 19. Let l(m) be the first derivative of -m**4\/4 - 11*m**3\/3 - 22*m + 1. What is the hundreds digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - t = -15, -t - 18 = -5*m - 3*t. Suppose -2*z + 5 = -3*g, m*g - z = -4*z - 1. Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1*(sqrt(2) + (sqrt(2) + -1)**2).\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the third derivative of 109*v**7\/105 + 23*v**5\/30 - 5*v**4\/24 - 245*v**2 - 2. What is the third derivative of f(s) wrt s?\nAnswer: 5232*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qtinhtgqgnqt. What is prob of picking 1 n, 1 t, and 1 i?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 226*m**2 + m**3 - 117*m**2 + 184*m - 109*m**2.\nAnswer: m**3 + 184*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be (9 + -11)\/(2\/6 - 1). Suppose 5*r = k*r + 162. Let f = 131 - r. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -133, -4, 4, 3\/62, -11.\nAnswer: -133, -11, -4, 3\/62, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -2 (b) 0.6 (c) 24245 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-c + 4 - 4)*(-132 + 38 - 1620*c**2 + 58 + 36) to the form h + u*c**2 + s*c**3 + a*c and give s.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*l**2 + 0 + 4 - 4.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1441210004 + -4?\nAnswer: -1441210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -2*sqrt(320) + -3 + 5 + -4 + -5*((sqrt(320) + -1)*-2 + 3 + 2*sqrt(320) + sqrt(320) + sqrt(320))**2.\nAnswer: -6523 - 816*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - ((-5 - 3) + 5) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2*n + 4 = 0, n - 4*n = -5*j - 10. Is (-188)\/(-6) - j\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 30.01144g?\nAnswer: 30011440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express w - 1 + 2*w**3 + 2*w + 0*w**3 + 3*w as s*w + h*w**3 + z + p*w**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4709*x - 4731*x = 22. Put -4, 5, x, -2, -18 in descending order.\nAnswer: 5, x, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 19077814 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*o*t**2 - 4332764*o*t - 2*o + 639204 wrt t?\nAnswer: 4*o*t - 4332764*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -17\/4 (b) 0.023 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1309*a**3 - 2328 with respect to a.\nAnswer: 3927*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-12)\/27)\/1)\/(492\/(-17712)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 757 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1920\/(-3200)*20\/294.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4, 37, -2768, 69.\nAnswer: -2768, -3, 4, 37, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/5, 1753, 52 in ascending order.\nAnswer: -4\/5, 52, 1753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 19*w**2 + 29006*w + 59. Let i(v) = -12*v**2 - 19337*v - 37. Calculate -8*i(y) - 5*l(y).\nAnswer: y**2 + 9666*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/q**(-1))**39\/(q\/q**4*q\/q**(-1)) assuming q is positive.\nAnswer: q**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*i**2 + 2289831*i\/2 + 381639\/2.\nAnswer: -3*(i - 127213)*(6*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1))**(-49) assuming s is positive.\nAnswer: s**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -478 - 63*u + 91*u + 478.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38178*v**3 + 19058*v**3 + 19068*v**3.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2230898 or -2230841?\nAnswer: -2230841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231405?\nAnswer: 3, 5, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/11565900 and -131\/1440?\nAnswer: 92527200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1181.6 + -1241.6. Let x = 76 + -134.8. Let a = z - x. Is 0.2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = 9, 3*f = 261*b - 260*b + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22 + 17. Let h(g) = -g**2 - 4*g + 6. Calculate h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1212.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 9335617 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 625979486 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 1 = 2*b + 10, 5*b = -4*u - 29. Let a be u\/((-3)\/(-6)) - -1. What is the nearest to -1 in a, -0.3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 9897 = -4*y, 0 = -3*g + 18*y - 21*y + 29661. What are the prime factors of g?\nAnswer: 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 5:53 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = 12*m - 17*m + 3*t, -t = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -11*q - 6*q + 16*q. Let i(y) = 28*y. Let b(n) = 9*n. Let f(o) = -10*b(o) + 3*i(o). Determine f(l(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 355023 is divided by 5864.\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 13*v - 98. Let p be i(-19). Suppose p*h + 128 = 17*h. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s. Let d(r) = -95*r - 49. Let t(n) = 2*n - 7. Let u(g) = 6*d(g) - 42*t(g). Determine u(o(i)).\nAnswer: -1308*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -637 (base 12) to base 14.\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16 and 1513238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 11826\/20169*(1 - -2). Is 3 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -6. Which is the second biggest value? (a) r (b) 2\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 63 and 2016?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*u**2 + 2 - 88*u**2 - 131*u**2 + 2 - 1144*u**2.\nAnswer: -1414*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-323)*98078\/(-10324).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 71 and 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 337, 175, -265, -1121, -2531, -4633, -7565?\n\"Answer: -23*z**3 - z**2 + 2*z + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 88684207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*6\/(-21)*35\/(-40). Solve -3*z - 7 = -2*l, 4*l + m = -4*z + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-g**2 + 2 - 2)*(-227*g**2 - 414*g**2 - 681*g**2 - 714*g**2) to z*g + h*g**2 + t + p*g**4 + q*g**3 and give p.\nAnswer: 2036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 57257153, 57257156, 57257157, 57257156, 57257153?\nAnswer: 57257148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 7 = -5*i - 2, -t - 3*i - 1 = 0. Suppose -t*f = -7 + 3. Let v = 4.4 - 0.4. What is the third biggest value in 1\/5, f, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 2*l = -300, 200 = 4*z + 2*l - 76. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43787424029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 36378 = -4*l, 2*l + 5*h - 9129 = 9040. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35 + -32. Suppose -d = f - 21. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -77\/11120?\nAnswer: -77\/11120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-40 - -37)\/((-6)\/20). Suppose -3*u = -4*m + 1454, -2*u + 7*u = -d. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g = 6*g + 3*p - 436, 0 = -2*g + 4*p - 866. Let r = -422 - g. Solve 43*d = 42*d - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3496 - -3552. Suppose -2*h = 4*v - 226, 2*h - 279 - 4 = -5*v. Let u = v - q. Which is smaller: u or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 3 + 0)*(0*l - l - 3*l) - 64*l + 21*l + 129*l as a*l + d and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -105572938 divided by -82286\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 11:58 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 2*q**5 - 1 + (1270*q - 129*q**2 - 1270*q)*(9*q**2 - 6*q**3 - 9*q**2).\nAnswer: 776*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (295 - 107)\/((-1 + (-12)\/(-10))\/(66\/660))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.93 + 0.07. Let u be (10\/4*-1)\/(72575\/(-5806)). Sort u, -1\/2, 7, w.\nAnswer: -1\/2, u, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eheeheytteyeeytteee. Give prob of sequence hye.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 131861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 2183.4486 months?\nAnswer: 1.8195405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 5*u - 2. Let g(b) = 2 + b**3 + 2 + 7*b**2 - 8*b - 3 + 2. Let z be g(-8). Calculate j(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + 1*sqrt(2800) - 4*(-1 + sqrt(2800)))**2 - -4*-2*(sqrt(2800) + (sqrt(2800) - (0 + sqrt(2800)))))*2*-4.\nAnswer: -201992 + 8000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 307594275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/18)\/(74\/888)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -7*d**3 + 5*d**2 + 7*d - 19. Let c(y) = 3*y**3 - 3*y**2 - 4*y + 9. Let v = -14 - -12. Let u(t) = v*s(t) - 5*c(t). What is u(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 5454 = 3*w, 7*x + w = 11*x - 3642. Calculate the highest common factor of x and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02239 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.46 and -6.455.\nAnswer: -5.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 8*k - 152. Suppose k = i - 71. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107306 - 107317.3682. What is y rounded to two dps?\nAnswer: -11.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 3*u + 4*t, -3*u + 2 = -2*t - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 908235 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 318*m**2 - 635*m**2 + 301*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 PM and 6:44 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8202955 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 786\/(-20)*25\/30*-156 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3 - 0.1. Let w(v) = -v**3 + 8*v**2 + 16*v - 13. Let f be w(9). Let g be 9\/(-54)*f + 8. What is the third smallest value in -4, -2\/3, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -91b2b (base 12) to base 13.\nAnswer: -68612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 PM and 1:45 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t = 3*t + 224. Suppose 3*v - 5*f = t, 5*v + 2*f - 72 = 5*f. Suppose v = -3*x, -4*z - x + 8 = x. Solve 2*o - 2 = -z*u - 14, -2*u = -4*o - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*d**5 - 28639*d**4 - 242*d**3 + 2887*d**2 + 21*d - 13?\nAnswer: -120*d**2 - 687336*d - 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 5*g = 4*h + 7, h - 2*g = -4. Let t be (-4)\/(-26) + 335\/(-65). Put -3, 16, t, h in increasing order.\nAnswer: t, -3, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -266\/45 or -6?\nAnswer: -266\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x - 5. Let u be c(-7). What is the derivative of -11 - 11*d**2 - 5 + d**u wrt d?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1546349?\nAnswer: 7, 220907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1561 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158482?\nAnswer: 2, 79241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*m - 578 - 2022 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 5094, 10189, 15284?\n\"Answer: 5095*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -55 and 4942.\nAnswer: 4887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6384193 and -0.5?\nAnswer: -3192096.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 33*n + 5. Let u be m(-5). Let p = 365 + u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14624 + 22346. Suppose -12*n = -n - a. What is the remainder when 24 is divided by (2\/(-3))\/((-9)\/(n\/4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**2)**31\/(v\/(v\/(v**(2\/5)*v)))**(4\/9) assuming v is positive.\nAnswer: v**(2762\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*d**3 + 3*d**3 - 5*d**3 + (-41*d - 35*d + 5*d)*(-d**2 + 2*d**2 - 2*d**2).\nAnswer: 63*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5645 + -5632. Solve v + 2 = -3*y, 5*v - w = 3*y + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1170 = -141*d + 11*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.1 - -3. Let q = -203 - -417\/2. Are u and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 22\/(-176)*28*(-30)\/(-21). Put 10, q, -48 in descending order.\nAnswer: 10, q, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1643318 - -7209682. What is k rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the second derivative of -x**4\/36 - x**3\/18 + x**2\/3 + 10*x. Determine y so that t(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -12285*k**2 - 23*k + 23. Let g be i(1). Let d = 3\/36571 + 3912869\/2779396. What is the common denominator of d and g\/(-260)*4\/14?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - -1. Let t be c\/1 + -3 - -2. Factor t*m**2 + 6*m**4 - 6*m**3 - 1 - 2*m**5 + 1.\nAnswer: -2*m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 - (-397 - (-2 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -516*h - 189. What is the hundreds digit of t(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 13*y. Let u(t) be the first derivative of -t**3\/3 + 45*t + 27. Let r(x) be the first derivative of u(x). Calculate o(r(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 197414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -33 (b) 1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 17840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.171161 to 3 decimal places.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9787113 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/3 + 0 - (-72250)\/2550?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1634605381 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -627, -719, -811, -903?\n\"Answer: -92*m - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 2*o + 55 = l, -4*o - 20 = 0. Let x be 12\/l - 4\/6. Which is the nearest to x? (a) 5 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) 1\/2 (c) -0.117780285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-2) - (-30)\/12. Find the third derivative of 11*n**z - 29*n**2 + 2*n**5 + 2*n**5 wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 256074 and 7007?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -51\/886, 1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (4*v**2 - 3*v**2 - 2*v**2)*(-2*v - v + 2*v) + (-v + 3*v + 0*v)*(13*v**2 + 12*v + 3 - 12*v) in the form d*v**2 + m + i*v**3 + c*v and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 5*h**2 - h - 4. Calculate y(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -148626.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d, 1 x, and 1 a when four letters picked without replacement from {a: 1, q: 2, d: 5, c: 2, p: 1, x: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p + 107. Let o = 75 + -75. What is the tens digit of j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 - 3*z - 3. Let c(d) = -2*d**2 + 10*d + 10. Let x(t) = -10*t - 30. Let m be x(-5). Let h(o) = m*k(o) + 6*c(o). Let j(l) = 6*l. Give h(j(r)).\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l - 3*x = 2*l + 105, 4*l - 57 = -3*x. Let p = -4 - -4. Let n be 3*(6 + 0) - p. Calculate the highest common divisor of l and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100.4288343 rounded to two decimal places?\nAnswer: -100.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h - 12 = 3*h. Let c(u) = -2*u**2 + 25*u - 46. Let f be c(10). Differentiate -6 + 2*g**2 + f*g**2 - 3*g**h - g**2 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -101010010000101100000 (base 2) to base 8\nAnswer: -5220540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 932898 is divided by 932869?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110762.\nAnswer: 2, 55381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = o + 3*o - 1, 2*o + 10 = 2*f. Let u = f - 5. Let t(h) be the first derivative of h**2\/2 + h - 1. Calculate t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 - 4*x**2 - 4*x - 3. Let c be v(5). Solve -4*j + c = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 - 14*m**2 + m - 2. Let q(n) = -9*n**3 - 2 + 17*n**3 + n - 7*n**3 - 13*n**2. Let r(f) = -4*c(f) + 5*q(f). Give r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of -13*f**6\/840 + 17*f**5\/105 - 67*f**4\/168 + 2*f**3\/7 - 2*f**2 - 198. Let p(c) = 0. What is c?\nAnswer: 3\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 10*i - 26*i**2 + 51*i**2 - 26*i**2. Let r be n(10). Suppose 3*a + 99 + 401 = -u, -2*u + 2 = r. Round a to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/(-6 - -3))\/((-2)\/(-5210)). Let t = -1610 + m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5736528 by -26558.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 - 28*q + 54. Let p be o(26). Solve p*n = 7*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 80 and 396290120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*g**2 + g**2 - 6*g**2 + (-2*g + 2*g - 2*g)*(-2*g - g + 4*g) - 7*g**2 - 2*g**2 - 5*g**2.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15818 is divided by 452?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - 13\/15 - 6512\/(-660). Suppose 0 = -15*l + t*l + 3*b + 15095, 5*b + 15095 = 5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5094105 weeks to milliseconds.\nAnswer: 308091470.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16949 or -16963?\nAnswer: -16949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*f - 6*f + 4*f)*(-1 + 1 - 1) - 4*f + 4 - 4)*(-208*f + 25*f**3 + 208*f)*(-f + 5*f + 3*f).\nAnswer: -350*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 12*m - 1 - 6*m)*(-2 + 0 - 4) + m + 4 - 4.\nAnswer: -35*m - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from foovefzefevfoewezfef. What is prob of picking 1 z and 1 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24 - 17. Let y be (1 + -2)*(-13 - 56\/r). Solve 3*g = 3*v - 0*v + y, 3*v - 3 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -52276194*f**2 + 21849454?\nAnswer: -104552388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d + 8. Suppose 16*u = 9*u + 35. Suppose -4*j - 13 = u*q, 0 = -5*j - 3*q - 36 + 10. Give a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h*h\/h**(2\/15))*(h**(-2\/5)*h*h)\/h)\/((h\/(h**7\/h))\/(h**(-4\/3)\/h)) assuming h is positive.\nAnswer: h**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 69 = -r, 3*r - 370 = -4*q - 98. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 4*l**4 - 83104*l**3 - 10262136*l**2 - 421298944*l - 5761519916 = 0.\nAnswer: -41, 20899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -9*l**4 + 2*l**3 + 2*l**2 - 15. Let p(h) = -144*h**4 + 33*h**3 + 33*h**2 - 240. Let r(w) = -33*g(w) + 2*p(w). Differentiate r(m) with respect to m.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 6 = -18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {l: 4, k: 2, s: 1, n: 3, q: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 23676 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 8, l: 8, r: 4}. Give prob of picking 1 r and 1 i.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.04? (a) -4 (b) 3\/3245 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -124*y**4 + 10*y**3 + 5*y**2 + 5*y - 252. Let z(v) = v**4 + 2*v**3 + v**2 + v. Let p(l) = -g(l) + 5*z(l). Differentiate p(x) wrt x.\nAnswer: 516*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 + -2 - (-3 - -2). Let r(f) = 3*f**2 - 3*f - 4. Calculate the lowest common multiple of r(q) and 9\/(-1 - 2) - -19.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -21*s**2 - 131*s + 1089. Determine a(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 298440 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 10:34 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 92 + -80. Suppose -5*g = -3*h - 20, -3*g + 8*h - 17 = n*h. Let x(i) = -8*i**3 + i**2 + 2*i - 2. Let c(p) = p**3 - p**2 - p + 1. Give g*x(y) + 2*c(y).\nAnswer: -6*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 28*y. Let m(l) = -6*l**2 - 625. What is m(i(k))?\nAnswer: -4704*k**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -2*w - 7. Let t be c(-6). Suppose -t*z + 0*z + 55 = 0. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1173289, 1173230, 1173171, 1173112, 1173053, 1172994?\nAnswer: 1172935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 15 = -2*s, -2*q - s - 101 = -106 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 4 = 5*u, 8 = 5*t - 5*u + 18. Let q(f) = -f. Let p(s) = 1. Give t*p(k) - q(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 51 and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -22388*x + 89390. Determine q(4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*s**3*y*z**2 - 2*s**3*y*z - 54*s**3*z**3 + 2*s**2*z**2 - 10*s*y*z**2 + 101*y*z**3 - 3*z**2 wrt z?\nAnswer: -324*s**3 + 606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*u**3*v*x**2 - 311*u**3*v*x - 8*v*x**2 - 2*v*x - 6*x**2 - 19 wrt u?\nAnswer: 9*u**2*v*x**2 - 933*u**2*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -93, -945, -3245, -7713, -15069, -26033, -41325?\n\"Answer: -120*a**3 - 4*a**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.3 + 0.9. Let n = 0.753 + 0.107. Let w = p + n. What is w rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -91 + 208. Let g(k) = k**3 - 2*k**2 + 13. Let p be g(0). Calculate the greatest common factor of p and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 51 - 49. Differentiate -2 + g**2 - 11*g**t + 6*g**2 with respect to g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 + 69*f**2 - 502*f + 860. Determine a(61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-3) - 0\/2. Suppose 14*c - 12*c + 2 = 0. What is the second smallest value in 5, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.670781085 rounded to 4 decimal places?\nAnswer: -0.6708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 380 and 1090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that v**3\/2 + 622*v**2 + 2485*v\/2 + 621 = 0.\nAnswer: -1242, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 7*f - 7. Let b = 183 - 181. Let h(w) = 2*w**2 - 5*w + 7. Let z be h(b). Solve f*c + z = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 44 - 43.799. What is u rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) 15 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence st when two letters picked without replacement from tots?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(600))\/(sqrt(60)\/sqrt(20)) + 1 + (-2*(((2*sqrt(242) - sqrt(242)) + sqrt(242))**2 + sqrt(2)) - sqrt(4)\/((sqrt(6)*2)\/sqrt(3))).\nAnswer: -1935 - 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -806926.3 + -0.4.\nAnswer: -806926.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*s**(-4)))\/s*s*s\/((s*s**4*s)\/s))\/(s\/(s\/(s**(-1\/2)*s*s)*s)*s)**(-4) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 0, 0.1, -0.1, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.696269 micrometers to nanometers.\nAnswer: 3696.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, -2\/25, -2, 1 in ascending order.\nAnswer: -2, -4\/7, -2\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6 - 1) + 1 - -3) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 7182920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42535)\/(-2585) + -5 + -11.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f*f*f\/(f\/f**(-5))*f*f)*f**0)\/(f**(1\/2)*f**(2\/9)) assuming f is positive.\nAnswer: f**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 8*h + 10. Suppose -2*x - 38 = 4*c + 3*x, 2*x = -4*c - 32. Let j be p(c). Let r = j - -4. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 223, -5, -13\/6, 17655?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 4*o - 508 = -478, 0 = -5*k - 4*o + 45. Solve -4*h + 8 - 18 = q, -k*q = -2*h + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 552752418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**4*l*l**(-2\/23)*l\/(l*l*l**(-1\/4)*l)*l**(-9)*l assuming l is positive.\nAnswer: l**(-445\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 11*y**2 + 9*y + 13. Let l be t(10). Solve 5*x - 17 = l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2117, -4247, -6375, -8501, -10625?\n\"Answer: n**2 - 2133*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-9)*-3)\/(2*(-143)\/66)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14199 is divided by 2027?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s + 1. Let y be q(-6). Suppose 0*g = g - y. Let i(x) = -x**3 + 9*x**2 + x + 10. What is the remainder when i(9) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 2*l**2 - 21*l - 117. Let o be y(15). Suppose -121 = 4*q + 7. Let u = -13 - q. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, k: 1, e: 5, d: 2, i: 2, o: 2}. What is prob of picking 1 i and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -5 (b) 3 (c) 33\/25 (d) 0.033 (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*k - 33 - 33 - 37 + 97 - 32*k.\nAnswer: -62*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) 222 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 124374 is divided by 99.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (4 - 56\/12) + (-3)\/(-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a - a - o - 3 = 0, 7 = -a + 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (9\/((-198)\/(-55)))\/((-490)\/(-28))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1113 divide 98641851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of h**4\/24 + 2*h**3 - h**2. Let s(o) = 1. Suppose 5*b = -5, -m + 5 + 3 = -2*b. Let a be 1 - -2*3\/m. Give a*j(z) - 22*s(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -441 = -3*m + 3*v, -3*v = -6*v - 3. Let p = m + -131. Solve 0 = 11*s - 6*s + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2372, -2398, -2424, -2450, -2476, -2502?\n\"Answer: -26*g - 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -l + 37. Let z = l - 21. Let q(c) = -c + 6. Determine q(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -214 + 215. What is the closest to a in 3, -3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 60890 = -3*n - 60944, 2*d = -95*n + 446 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8062 + 22714. What are the prime factors of o?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -22, -31, -40, -49, -58?\n\"Answer: -9*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of g**5\/420 + 3*g**4\/14 + 34*g**3\/21 - 219*g**2. Factor w(s).\nAnswer: (s + 2)*(s + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 4 = 0, 5*k + 2*p = -0*p + 111002. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85.8867ug in kilograms?\nAnswer: 0.0000000858867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -4, 10, 18, -6, -80 in descending order.\nAnswer: 18, 10, -1, -4, -6, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 - 4 = 3*q. Suppose 3*j - 4*j = -3*k + q, 2*j + 6 = 0. Suppose -5*s + k*t + 556 = 0, 3*s - 161 - 159 = -t. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-58 - 14 - -59) + -39\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 4*g**2\/3 - 53635376*g\/3 + 179797097416336\/3 = 0. What is g?\nAnswer: 6704422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -106*h. Let v(c) be the first derivative of -2*c**3 + 197. Calculate v(l(f)).\nAnswer: -67416*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 + f + 5. Suppose 0 = -0*w - 4*w + 468. Let o be 6\/4 + w\/(-26). What are the prime factors of n(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 8. Find the third derivative of -3*t**2 - t**q + 3*t**5 - t**5 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2467, 19739, 66615, 157897, 308387?\n\"Answer: 2467*l**3 + 3*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let y = 49 + -36. What is the remainder when 51 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.94099 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 685 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, m: 5, f: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zmeju. Give prob of sequence zm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 27.563 rounded to one decimal place?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/13 (b) -1\/6 (c) 0 (d) -29.01 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of -r**4\/12 + 7*r**3\/6 + r**2\/2 - 13*r. Let k(n) = n**3 + n**2 - 6*n + 3. What is the least common multiple of t(7) and k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-380)\/(-50) - (-2)\/5. Suppose 3*u + q - 5 = 0. Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 1. Let h(u) = 24*u + 64. Let i(f) = 11*f + 32. Let l(y) = -6*h(y) + 13*i(y). Let n be l(36). Put 0.5, n, j in ascending order.\nAnswer: n, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the first derivative of u**6 + 3 + 0*u + 0*u**4 + 0*u**2 - 17\/3*u**3 + 0*u**5. Find the third derivative of y(b) wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**3 - 2*h + 2*h)*(3*h**2 - 2*h**2 + 0*h**2) - 5*h**5 - h**5 - h**5.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + -110100111010?\nAnswer: -110100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 118 = 14*w + 2*l, 2*w + 3*l + 1211 = 607 + 610 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 6*q - 51*q + 0*q + 2 - 25*q - q**2 as y*q**2 + h*q + d and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-12) + 4\/((-1063320)\/44215). Let t = 1001365\/212664 - s. What is the common denominator of -59\/18 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 131, 160, 183, 200, 211?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 30 = -4*m. Let n be 2\/3 + (13 - 256\/24). Let y(d) = -n*d + 6 - m. Let u(c) = 9*c**2. Determine y(u(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-1\/25)*a\/(a*a\/(a\/(a*a**(-2\/43)*a*a)))*a assuming a is positive.\nAnswer: a**(-2143\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -7*p - 2. Let w(n) = 7*n + 3. Let u = -9187 + 9183. What is u*w(d) - 5*y(d)?\nAnswer: 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 25070 - 90545 = -763*i + 1323*i + 1865*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2409019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -24*u + 74. Let y be c(3). Is (-374)\/y*(-60)\/330 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*u + 1 - 1)*(-7*u + 2*u + 4*u)*((-1 - 8 - 1)*(-2 + 4 - 3)*(4 - 4 + u) + 0*u + 4*u + 0*u) in the form c*u + m + b*u**2 + o*u**3 and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 559 divided by -836.\nAnswer: -559\/836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11*(-17)\/561)\/((-10)\/(-24)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 18256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1248 = 723*o + 3813 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72 and 630?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*l - 15 = 40*l. Suppose 7*p - 4*p = 9. Suppose -p*t + 45 = 2*t. What is the remainder when t is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b**2 - 32*b + 46. Calculate f(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 AM and 6:48 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*k**2*y**5 + 86*k**2*y**2 + 3*k**2 - 15*k*y**2 - 18*k*y + 42*k wrt y.\nAnswer: 40*k**2*y**3 + 172*k**2 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/3*x**2 + 0 + 1\/3*x**3 + 1\/9*x - 1\/9*x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1799*0.15\nAnswer: 269.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-34 - -1)\/3*10. Let r = y - -125. What is the second derivative of 109 + 37*w**5 + r*w - 109 wrt w?\nAnswer: 740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/7, -276378, -1, -5, -0.5.\nAnswer: -276378, -5, -1, -0.5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7842552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m + 491. Let k(l) = 328561*l. Give q(k(s)).\nAnswer: -328561*s + 491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -13*g - 10*g + 368431 - 368431. Let s(r) = -3*r - r + 6*r. Give n(s(f)).\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 17*u + 10. Let j be d(0). Let t = -17 + 24. Let s be 5*(-3 + 1 + t). Calculate the greatest common divisor of j and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -50*h**3\/39 - 20*h**2\/13 - 8*h\/13 + 169. Find i, given that r(i) = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 20*d**4 + 380*d**3 - 1515*d**2 - 53100*d - 216000 = 0.\nAnswer: -16, -15\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 105 divide 1467652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -4, 38, 25 in ascending order.\nAnswer: -4, 8, 25, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -43, -2, 7\/4, 2\/5, 1\/102?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 624043552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2 or 14421492?\nAnswer: 14421492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -44235134 (base 7) to base 10\nAnswer: -3807374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*j - 84 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-15)\/(-4))\/((-3)\/(-8)). Suppose -2*h = 3*h + g. Let v(k) = 2. Let p(i) = -i - 18. Let b(q) = h*p(q) - 18*v(q). Let j(z) = -z. Give b(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -75 - -67. Let z be 2223\/2470*((-2)\/6)\/(3\/6). Which is the nearest to 0.2? (a) i (b) -13 (c) z (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of 456*o**4 - 411*o + 84. Find the first derivative of j(a) wrt a.\nAnswer: 5472*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vlv when three letters picked without replacement from {v: 2, d: 3, l: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/(-55)*1\/(-2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of -v**6\/180 - v**5\/15 - v**4\/3 - v**3\/2 - 19*v. Let d(o) be the second derivative of x(o). Factor d(j).\nAnswer: -2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-33)\/1)\/(9\/(-30)). Suppose -b + 554 = -3*z. Is (-12)\/(-8)*z\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6568 = 59*a - 2266 + 3250. Which is smaller: a or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 88021954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2. Let n be (-86)\/18 + (-2)\/9. Let s(d) = -d**3 - 4*d**2 + 3*d - 3. Let i be s(n). Let q(r) = -i*r + 7*r + 4*r**2. Give a(q(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -75 - -118. Let t(s) = 9*s + 1. Let p be t(2). Suppose 0 = -v - 2, l + p = 3*o - 4*v. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 6*k**3 - k. Let l be n(1). Let s = -14 - -10. Sort s, 3, l in ascending order.\nAnswer: s, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 + 30*v + 297*v - 4 + 369*v + 2*v**2.\nAnswer: 2*v**2 + 696*v - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 379434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**3 + 3*c**2 + 145*c + 144. Let a be q(-1). Is 21\/1217 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((168\/(-42))\/4)\/(10\/(-3))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1040 (base 15) to base 5\nAnswer: -102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes after 3:24 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 372*h = 325*h + 329 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17364209608 - 0.3.\nAnswer: -17364209608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 65 = -4*u, 535*v + 7 = 533*v - 5*u for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 + 7*m**2 + 5*m + 6. Let a be s(-5). Let y = a + -16. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12\/(12\/(-5)) + 8. Let q be 1*(-5)\/(-2)*2. Let r = 22 - q. Solve 4*d - 5 = -r, -u*d = -4*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in 3\/16, 2, 3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - 0) + (53 - 54).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sasneeensssegg. What is prob of sequence gess?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor h**4 + 135*h**3 - 136*h**2.\nAnswer: h**2*(h - 1)*(h + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 1570 = 5*i, 4*u - i = u + 934. Is u a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(2448) + 2)**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*o + 172 + 11*o - 386.\nAnswer: 69*o - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 + 4*f**2 + 13*f - 4. Let v be j(6). Let z be -3 - (2 + (12 - v)). Let u be z\/24*2\/5. Which is the nearest to 3? (a) u (b) 5\/4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.5 - -0.5. Let i = -60587 + 60586.6. Which is the second smallest value? (a) x (b) i (c) 1\/4 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 102*w - 284 - 634 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1*12\/4*-3. Suppose -5*w - 5*p + 15 = 0, 3*p + 0 = 2*w + b. Let k(h) = -26 + 21 + h**3 + w*h**3 - 4*h - 4*h**2. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 409 - 68 = k. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23.87382533 rounded to one dp?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 87 - 93. Let j = 10 + -17. Let p = 2 + j. Is p != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -120757 or -120753?\nAnswer: -120757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 289*i - 290*i + 1 - i**2 + 2*i**4 + 3*i**3 - i**3 to u*i + b + j*i**2 + p*i**3 + z*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-21)\/(-3)*-1*(5 - (-444)\/(-84)). Solve -3*x - x = -u*a - 6, -4 = -4*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 45036 + 531?\nAnswer: 45600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1.78 times -0.2\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from inniiinninnini.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vzzzzvzvvvvzvvzv. What is prob of picking 1 z and 1 v?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o - 5*o + o)*(o**3 + 0*o**3 + 0*o**3) + (1968*o**2 - 1968*o**2 - 552*o**3)*(o + 0*o - 2*o) + (0*o**2 + 5*o**2 - 4*o**2)*(3*o**2 - 3*o**2 + 4*o**2).\nAnswer: 552*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 - 4*d**2 - 3*d - 1. Let t be f(-3). Let p be 2\/t*15\/(-6). Suppose 3*k + 10 = p*k. Solve -8 - 2 = k*h, 4*h = -3*n - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -42.6 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 18960372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 + -2. Let o = l - -3.2. Let d = 0.3 + o. Sort d, 5, -0.4 in ascending order.\nAnswer: -0.4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 7*h**3 - 253*h**2 + 50*h - 430. Give t(36).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 7. Suppose g + n = 4. Suppose 3*o = -o + g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 15 = 25. Suppose t + m - 3 = 0, 3*t = -2*b + 9. Suppose -20 = -b*x - 2. What is the remainder when 17 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34737076117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.001822, -20, 20 in decreasing order.\nAnswer: 20, 0.001822, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 221 + -91. Let p = q + 364. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 8*m - 5*m + 56, 0 = -4*m. Let t(x) = -x + 108. What is the units digit of t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1708711 - -379.\nAnswer: -1708332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3231 + 14*g - 3233 - 10*g**2 - 92*g)*(3*g**2 + 2*g**2 - 3*g**2) to i*g**3 + q*g + p*g**4 + m + v*g**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 60*b - 843*b + 780*b - 1.\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (4 - (-5 - -4) - 7) + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 120093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-80)\/(-48) + (10\/(-6) - -1). Let t be (0 + 1 - -16)\/(i + 0). Let m = 53 - t. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.956493757 rounded to 1 dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 114*g**3 - 572*g**2 + 10*g.\nAnswer: 2*g*(g - 5)*(57*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 491693280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - (-4)\/(8\/30). Suppose 15*f - 2526 = y*f. Let n = 4081 + f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 2 - 10. Let w(i) = -4 + 1 + i**2 + p - 1 - 5*i. Let d be w(5). Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/7? (a) 1\/6 (b) -1\/12 (c) 10\/7 (d) 22 (e) 3 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2496 is divided by 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*m + 3*f - 18, 3*f + 16 = 7*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h**3 + 3*h**2 + 1. Let m(i) = i**3 + i**2 + 1. Suppose 18*g + 3 = 13 + 8. What is g*m(l) - o(l)?\nAnswer: -l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:18 AM and 6:38 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1351781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the second derivative of 3*w**5\/20 + w**4\/6 + w**3\/3 + w**2\/2 - 16*w. Let u = -25 + 13. Let z be (1 - 0)\/(11 + u). Give s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -198*w + 196*w - 2*g + 2 = 0, -2*g = -2*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 41\/96 - 3\/32. Which is bigger: n or -4.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -3*f - 74, 7*f + 2*d = 2*f - 130. Let g be (-3)\/6 - 2\/f. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2497 = 138*z + 815 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -58740 * -16\nAnswer: 939840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the first derivative of 0*o - 1\/2*o**2 - 6 + 0*o**3 + 1\/6*o**4. Let v(s) be the second derivative of z(s). Let r(d) = 3*d. What is v(r(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q**(-2\/13)*q)*q**(-4))\/(q\/q**(-2\/9)*q*q**(-5)*q)*(q**(-2\/7)\/q**4)**17 assuming q is positive.\nAnswer: q**(-61364\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -31210260 rounded to the nearest 100000?\nAnswer: -31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -116, -263, -468, -731, -1052, -1431?\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 131228 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: List the prime factors of 4197611.\nAnswer: 11, 113, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1230720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -6 (c) 6.5 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -23*u - 14. Let s(m) = -80*m - 48. Let p(q) = 24*i(q) - 7*s(q). Let w(f) = 94*f. What is p(w(a))?\nAnswer: 752*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7766 in 0.15, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -l**3 + 0*l**3 + 0*l + 761 - 759 + 2*l**4 + 2*l in the form y*l**2 + s + t*l**4 + k*l**3 + g*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(108)*-1 - (-5 + sqrt(3) + -1 + sqrt(3)))**2 + -3 + (sqrt(48) - (sqrt(48) + -2 + -4))**2).\nAnswer: -288*sqrt(3) + 783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 20*x = 0. Let i be ((-3)\/(-2))\/((-1)\/(-2)). Suppose -10 = -5*n - h - 2*h, 0 = -5*n - 4*h + 10. Solve i*r + n*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1+-449612682739\nAnswer: -449612682738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 145849.46 rounded to the nearest 1000?\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 506*b + 3. Let y(d) = 2*d - 123. Determine t(y(c)).\nAnswer: 1012*c - 62235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.03, 835, 0.2.\nAnswer: 0.03, 0.2, 835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 6:31 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -248 + 249. Suppose m + l = 12. What is the least common multiple of m and -1*2\/4*-12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*(-1)\/(-5)*165\/22. Suppose 2*p = -5*u + 21583, 4*p + j*u = 16045 + 27142. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154\/(-44)*(-14)\/686?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1378 - -8978. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -235\/526 - 14\/263. What is the nearest to u in -1, -231, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 2*m + 60, 0*m - 5*z - 60 = 2*m. Let f = 33 - m. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 + 2067\/(-130))*4*(-1)\/(-11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the second derivative of c**4\/30 + 3*c**3\/5 - 22*c**2\/5 - 216*c. Let u(b) = 0. What is b?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of 7*l**5 - 58*l**3\/3 - l**2 - 162*l + 758. What is the second derivative of w(s) wrt s?\nAnswer: 420*s**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4352 is divided by (-3078)\/(-46) - 58\/(-15341)*23?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -433 or -2\/5?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (3*14\/(-4))\/((-128)\/((-12800)\/(-450)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 + 3*x**2 + 3*x + 3. Let v(l) = -2*l**3 + 8*l**2 + 8*l + 8. Let a(r) = r**3 + r**2 - 5*r + 1. Let k be a(2). Give k*v(t) - 8*d(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -3*m**2 - 33*m + 59976 = 0.\nAnswer: -147, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5341332 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 69344 and 22064?\nAnswer: 485408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 94.3 to the nearest integer.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -18714 + 3.\nAnswer: -18711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 593 and 2000189.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from izaizzawik. What is prob of sequence awi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 202200 (base 3) in base 10?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (24\/110)\/(12\/(-90)). Let y be (-1 - -3)\/(-110)*40\/(-24). Let h = p - y. Which is the third smallest value? (a) -1\/2 (b) h (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + l = -20. Let x(u) be the third derivative of -u**4\/12 - 196*u**2. Give x(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - 1. Let w be ((-80)\/60)\/(0 + g\/6). What are the prime factors of 0\/(-4) + w - -49?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35 + -11. Suppose 0 = 4*o + 4 - g. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 18 = -5*n. Suppose -70 = -3*m + 2*u - 0*u, n*u = 4*m - 92. Calculate the lowest common multiple of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -53836190, -53836196, -53836206, -53836220, -53836238?\n\"Answer: -2*f**2 - 53836188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 414 divide 2170766772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d - 1. Let b(u) = -6*u - 9. Determine -b(s) + 4*k(s).\nAnswer: 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.4 (c) 1.707 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o**2\/5 - 456*o\/5 + 92.\nAnswer: -4*(o - 1)*(o + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the first derivative of 4868*j**3\/3 - 1678*j**2 - 7841. Find the second derivative of f(u) wrt u.\nAnswer: 9736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of -m**6\/12 + 13*m**5\/10 + m**4\/8 - 13*m**3\/6 - 643. Suppose d(b) = 0. What is b?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of u**8\/1008 - u**7\/630 - u**6\/60 + u**2 + 115*u. Factor w(p).\nAnswer: p**3*(p - 3)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 6*h + 2 + 57*h**3 - 56*h**3 + 18*h**2 + 11*h. Let p be k(-17). Suppose -5*f - 20 = 0, 7*n - 2*n - 9 = f. Which is greater: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 640160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 60487 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 67 - 48. Suppose 3 = n + 1. Calculate the remainder when g is divided by n\/4*-2*-7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60809501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0\/(-5) + 20)\/((-1)\/14675). What is u rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1798 - 1796. What is the nearest to -1 in 3, -878, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 AM and 7:53 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 30*x. Let f(o) = 5*o. Determine f(p(d)).\nAnswer: 150*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in fifty-one fifths of a tonne?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -189*m**6 - 21*m**4 + 439*m**2 + 7*m - 2.\nAnswer: -22680*m**3 - 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 41768 and 48.\nAnswer: 250608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 + f**2 - 12. Let i be m(0). Let u be (-5)\/(-30) - (-14)\/i. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in 0.1, -2, -3, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-2*sqrt(162) - sqrt(162)) + sqrt(162) + -4 + sqrt(162)*-1.\nAnswer: -162*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -416 + 9.3\nAnswer: -406.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from yyxyxyyyyyxyyxyyyyy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(468) + sqrt(468) + -1 + sqrt(468) - ((sqrt(13)*2 + sqrt(13))*-2 - (-2 + 2*sqrt(13)))**2 - -3*-4*(-1*sqrt(1872) + 2).\nAnswer: -866 + 194*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 16 + 0 = 0. Let i be (-19)\/5 - q\/20. Let a be 11\/44 - 29199999\/i. Round a to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f and 1 o when four letters picked without replacement from ofooooooofoffoffooo?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a - 8 = 2*r, -5*a = 253*r - 262*r + 60 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -b**5 + 5*b**5 - b**5 + (-b - 2*b + 5*b)*(-b**4 + 0*b**4 - b**4) - b**5 - b**5 + 4*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 5*k = 2590, 4*q = 2*q - 2*k + 1032. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 - 10*h. Let j be g(10). Let l(p) be the third derivative of 0 + 0*p**4 + j*p**5 - 1\/2*p**3 + 0*p + p**2 - 1\/40*p**6. Differentiate l(z) wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/2*2\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 2*z = 6, 67*s + 7 = 64*s + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 8, t: 1, o: 10}. What is prob of sequence ooz?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from iluozoillkkoikiki.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1156\/867*(-6)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26 + 33. Solve -3*v - r = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4.1 + -1.1. Let y = b + -2.94. Let t = -0.05999928 + y. Round t to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20 - -4421?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g = k + g + 7, 2*g = 5*k + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 7*a**3 - a**2 + 5. Let q(t) = 3*t**3 - t**2 + 2. Suppose 0 = 6*v - 3 + 33. Let d(l) = -l**2 - 6*l. Let n be d(v). Calculate n*q(o) - 2*m(o).\nAnswer: o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 42685*j**5 - 12111*j wrt j?\nAnswer: 853700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**2 + 5*j. Let o be y(-9). Let d = -28 + o. Solve n = -d + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -27 (base 12) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-m + 3*m + 3*m)*(1671*m - 500*m + 604*m - 133*m) in the form z + q*m + k*m**2 and give k.\nAnswer: 8210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**1)**(1\/28)\/((y**(-8)\/y)\/y**(2\/9)))**(-29\/5) assuming y is positive.\nAnswer: y**(-68179\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 8807, 140.\nAnswer: 1, 2, 140, 8807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 19416728581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor q**4\/2 - 143*q**3 + 279*q**2\/2 + 855*q.\nAnswer: q*(q - 285)*(q - 3)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -6*(5*-2*sqrt(468)*3 + 1) + 2 + 3)**2.\nAnswer: 8640*sqrt(13) + 15163216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the second derivative of 11*r**4\/30 + 14*r**3\/15 - 24*r**2 - 1188*r. Factor p(s).\nAnswer: 2*(s + 4)*(11*s - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m + 2. Let r(y) be the second derivative of -y**3\/2 - 3*y**2\/2 + 1746*y. What is 3*r(u) + 4*s(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1192809621?\nAnswer: 3, 397603207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 5*w**2 - 37*w + 17. Let p be c(7). Suppose -p*m + 16 = -536. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -6*l + 12. Let w be (-225)\/(-6) - (-2)\/(-4). Suppose 5*a - w = -0*j + 3*j, 5*j = 5. Solve -2*h - l = -q + 6, -2*q - a = 2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*c**3 + 10*c**3 + 4*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -1110\nAnswer: 1\/1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 22942 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 165 - 155. Solve -c = 4*u - 2*x, -2*u - 13 = 2*u - 5*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 67.21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -34 (b) 0.5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -131, 3782, -5 in decreasing order.\nAnswer: 3782, -3, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17198 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 8. Suppose -q = -3*y - 2*l, -4*l = -l + 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*m**4\/5 - 1117254*m**3\/5 - 3128403*m**2 - 48043638*m\/5 - 6703776 = 0. What is m?\nAnswer: -10, -3, -1, 372432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/6293 - 12576\/31465. Which is the second biggest value? (a) -1\/8 (b) m (c) -3 (d) 14 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -0.4, 4 in decreasing order.\nAnswer: 6, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.06, -0.4, 11, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide (-48)\/(-36)*57\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-9)\/24*(-2)\/3. Let z = -3 + 6. Let m = -3.1 + z. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -91383*q**6 - 5*q**2 + 6055*q wrt q.\nAnswer: -10965960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence re when two letters picked without replacement from edrru?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 133*r + 128*r - 322 - 62 = 269*r for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-15\/7)\/z*z)\/((z\/z**(-28))\/z)*(z\/z**(-14)*z)**(1\/35) assuming z is positive.\nAnswer: z**(-1039\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2776 - 2776.3. Let x be (0 + -1)\/((-19)\/4562). Let s = x - 240. Which is the smallest value? (a) -2\/7 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -26505.\nAnswer: -1\/8835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 AM and 10:51 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -i - 9, 3*o - 96 = 5*i. Let q(u) = -4*u**3 + u**2 - 2*u - 15. Let g be q(-3). What is the greatest common factor of g and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 PM and 3:18 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4199 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 - 7. Let z(y) = 1453*y**2 - 42. What is 6*h(i) - z(i)?\nAnswer: -1459*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q - 10. Let b be k(-14). What is the third derivative of -7*o**4 + 5*o**4 + 13*o**2 - 5*o**b + 18*o**4 wrt o?\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p + 72*p**2 - 46*p**2 - 2 + 75*p**2 + 0 + 1.\nAnswer: 101*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p - 1. Let v(f) = 4*f + 2. Let u(n) = 2*j(n) + v(n). Let g be ((-2)\/5)\/(3\/(-15)). Let w = 0 + g. What is u(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -125 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 718 = -2*p, 3*p = 38 - 17. Calculate the highest common factor of 1037 and j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66078955?\nAnswer: 5, 13215791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3064.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 215 + -220. Let r be (-24)\/10 - (t + (10 - 8)). Which is the closest to 2? (a) -3\/2 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -285 = -28795883*i + 28795878*i for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(114) - 1*sqrt(114)*-6)\/((sqrt(216) - sqrt(216)*-1) + sqrt(216))*5.\nAnswer: 3 + 35*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 7683618 by 1280603.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 0.55 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 76766 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -16932874 times -10?\nAnswer: 169328740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n - 4. Let t(x) = x**2 + x + 1. Let f be t(-7). Let l = f + -27. Suppose 4*d + u + 16 = 8*d, 4*u = -l. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 134*w - 138*w + 47 = -5*i, 5*i + 20 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 212001 (base 3) to base 6.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 60 = -3*z, 5*z - 2*q = 3*q + 120. Suppose -17*r + z*r = 90. What is the remainder when 71 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 740 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.3 - -0.3. Let y = 47 - 42.2. Let m = y - 0.8. Which is the second biggest value? (a) r (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 80*v + 116. What are the prime factors of r(13)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 6*j + 46 - 46 + j**2. Let k be y(-6). Solve 2*o + 0*o - 4 = 2*h, k = 3*o - 5*h - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 7*l**2 - 9*l + 8. Suppose -4*z = 3*n + 2*n - 56, n - 5*z + 12 = 0. Give w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3521 or 3522?\nAnswer: 3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 - -23002?\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2ab7 (base 15) to base 2.\nAnswer: 10001111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -2\/7 (b) 0.0307 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 + 22*x**2 - 27*x + 15. Suppose -4*p + 4*t + 60 = -2*p, -4*p + t + 85 = 0. What is the hundreds digit of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -12 and 23389.209?\nAnswer: -280670.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that 4*h**3 + 14136*h**2 - 1078596*h + 14811336 = 0.\nAnswer: -3609, 18, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 644 is divided by 157?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 47, 33 in descending order.\nAnswer: 47, 33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - 9*q**2 + 7*q + 9. Let x be n(-10). Let o = 24 - 42. Let y be (27\/o)\/((-3)\/52). Calculate the highest common factor of y and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -2*c. Let i = -6 + 9. Let t(r) = -r + 4. Let s(d) = -3. Let h(o) = i*t(o) + 4*s(o). Determine p(h(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 15*t - 11*t + m, 4*t - 10 = -2*m. Let w(y) = y - 3 - y**2 + y + 0 + 19*y**3. What is the units digit of w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-21))\/((-9)\/(-1638)*130)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -2*v**4\/3 - 538*v**3\/3 - 35360*v**2\/3 + 36992*v = 0.\nAnswer: -136, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyrryry. What is prob of picking 2 r and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2*b + 7. Let k be t(3). Let h be (k + -3)\/(16\/(-968)). What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**2 + 9*f + 4. Let m be i(-4). Solve m*d = -2*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 84178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 252?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*h - 50*h - 5*x = -10, 0 = -4*h - 5*x + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44533960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 140 and 15516340.\nAnswer: 15516340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14227 is divided by 368?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 181 - 20*g + 34*g - 26*g. Let v be y(15). Solve -21 = 4*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -6*y**3 + 3*y**2 - 3*y + 1. Let t(f) = -10*f + 2*f + 7*f - 17*f**2 + 34*f**2 - 16*f**2. Give d(n) - 3*t(n).\nAnswer: -6*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -3*i. Let f(s) = 2*s - 6. Let r be f(5). Suppose v - 4*v + 6 = 0. Let k(c) = 6 + r*c**2 - v*c**2 - 6. Give k(n(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.08 and -76.\nAnswer: -6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*-1*(-5)\/(-10). Let i(m) = -m**2 - 2*m + 4. Let t be i(w). Suppose -3*z + 20 = 3*b - 4*z, -t*b = -z - 25. Solve 5*h + 40 = -b*s, -2 + 17 = -5*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 + -13.38\nAnswer: 2.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -0.9 (c) -1 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v + 75 = -5*v. Let t be v\/(-10)*(-3 + 1). Calculate the greatest common divisor of 195 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 222359858 to the nearest integer?\nAnswer: 14912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 179091.6478 - 179722.7. Let t = 631 + x. Let v = t - 0.1608. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 6, 0*p = -5*b + 5*p + 45. Calculate the remainder when (32 - (-1 + 0)) + -1 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 92 + -66. Let r = -11 + c. What is the remainder when 73 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 46742945 and 4491315.\nAnswer: 1262059515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**5*k**(-2\/21)*(k**3*k*k*k)\/k**(-2\/9) assuming k is positive.\nAnswer: k**(701\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8, 0.3, -20\/13, 3, -0.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1313854, 1313860, 1313866, 1313872?\n\"Answer: 6*h + 1313848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (150\/60)\/((85540\/(-448))\/(-47))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 144.4 + -144.32. Put 5\/4, -2, c in descending order.\nAnswer: 5\/4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w**2 - 55*w - 878. What is d(-14)?\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27025 divided by 3.\nAnswer: 27025\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 2 - 3)*(-1 - 1 + 4) + 1 - 2 - 1)*(-8*c - 23*c + 11*c + (0 + 4 - 2)*(0 + 0 - 2*c) + 0*c + 4*c + 3*c).\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 610223.\nAnswer: 19, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 38107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7329*c*d**2 - 2*c*d + 6*c + 179*d**2 - 34*d + 437 wrt d?\nAnswer: 14658*c + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1, -52, -183, -430, -829, -1416, -2227, -3298?\n\"Answer: -6*x**3 - 4*x**2 + 3*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13151 - -11?\nAnswer: -13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r + 1670 - 1593 = -0*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 15 = -0, 4*x = -3*a - 8. Suppose 4*y + u = -0*y + 297, -4*y - a*u + 300 = 0. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -162236, -648146, -1457996, -2591786, -4049516?\n\"Answer: -161970*f**2 - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4584 is divided by 1162.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59 + 59 - 6*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -277 - 103 = -2038*i + 2033*i. Suppose -3*p = -2*j + 67, 2*p - 2*j - 3*j = -63. Let t = p + i. What is the highest common divisor of 513 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - ((-72387)\/(-3570) + (-54)\/306).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.2, -2, 55, 69, 0.38 in ascending order.\nAnswer: -2, -0.2, 0, 0.38, 55, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.668 + -1.4687. Let i = -0.049 + k. Let w = -0.15 + i. What is w rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 6 = -f. Let i(n) be the second derivative of -17*n**3\/2 + 29*n**2 - 12*n + 3. Let p be i(1). Solve 4*v = u + 7, -p = f*v - v + 3*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the third derivative of o**5\/20 + o**4 - 8*o**3\/3 + 85*o**2. Let n(t) = 5*t**2 + 36*t - 25. Let m(z) = 5*n(z) - 8*x(z). Give m(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 9 = 2*r, -3 + 12 = 5*n - r. Let u(w) = -w**3 + 6*w**2 + 5*w + 8. Let y be u(7). Let a = -9 - y. Put 0, n, a in ascending order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.4, 11541, 3 in ascending order.\nAnswer: 0.4, 3, 5, 11541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 262542.06ns?\nAnswer: 0.00000000303868125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -2)\/(-4) + (-5)\/40*380?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 3*y. Let n(q) = -84*q**2. Calculate n(s(i)).\nAnswer: -756*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 + 768 = 41*n. Suppose 322*f - 328*f = -n. Solve 0 = -4*a - 5*s + 26, 0 = -f*a - a + 5*s + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -84516 (base 11) to base 9.\nAnswer: -206738","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is next in -68952, -75515, -82078, -88641, -95204?\nAnswer: -101767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**4\/(f\/f**(1\/8))*(f**1)**(-38)*((f**2\/f*f)\/(f\/(f*f**(6\/11))))**(3\/7) assuming f is positive.\nAnswer: f**(-2973\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 22949300, 45898592, 68847894, 91797212, 114746552, 137695920, 160645322, 183594764?\n\"Answer: q**3 - q**2 + 22949288*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 9 = 7, -23 = -g - 4*w. Solve -a + g*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/66794 and -187\/2003820.\nAnswer: 2003820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express ((0*i + 0*i + 4*i)*(0 - 1 + 3) + 0*i - 3*i + 5*i)*(-20 + 10 + 11 + 5*i)*(7319 + 5*i**2 - 7319) as d*i**2 + x*i**4 + q + t*i + j*i**3 and give x.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 15*h**4 + 210*h**3 - 961*h + 16553443.\nAnswer: 60*h**3 + 630*h**2 - 961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 AM and 11:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 3*g + 31. Let i be y(-9). Suppose 0 = b - 6*b + 2*l + 51, 5*b = -i*l + 63. Suppose -b*d = -16*d - 130. Which is bigger: -24 or d?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 17*w**2 + 7 - 12)*(-5*w - 40*w + 12*w).\nAnswer: -561*w**3 + 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -109 from 19364896.\nAnswer: 19365005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 + 14*k - 14. Let f be s(-15). Put 3, f, -9 in decreasing order.\nAnswer: 3, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 75*x**3 - 713*x + 192*x + 75*x**3 - 225*x**3 + 73*x**3 to the form m + d*x**2 + k*x**3 + u*x and give u.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1853, 15121, 51139, 121283, 236929, 409453, 650231, 970639?\nAnswer: 1382053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + 2*i + 1. Let o be 1*2\/2 + -1. Suppose o*y + y - 6 = 0. What is the remainder when y is divided by v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4552017*q**3 + 31*q**2 + 317924501*q?\nAnswer: -27312102*q + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 - 24\/(-54)*9. Solve 3*s + 16 = 19*r - 15*r, -r - g*s = 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.316601 tonnes?\nAnswer: 316.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 9920*z**3 - z**2 + z + 1. Let m be g(-1). Let y = 118987\/12 + m. Let s = 25897\/154 - 1761\/11. What is the common denominator of y and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 2*d - 16. Let h be 1*-1*16\/d. Let f = 44 + -45. Sort 5, f, h in increasing order.\nAnswer: f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 5 + 1. Suppose 480 = -m - j*m. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m - 487591*f + 78 = -487592*f, 0 = -51*f - 153 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 527.6107 milligrams in tonnes?\nAnswer: 0.0000005276107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 3*g - 14 = -4, 5 = n - 2*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 772879 and 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = -4*r. Suppose r = 5*y - 31 + 11. Suppose 5 - 1 = y*f. Which is bigger: 1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*((-2 - (-12)\/8) + 75\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*z**2 + 133540*z + 447746865.\nAnswer: -5*(z - 29721)*(z + 3013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2382.1 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/9))**37\/(c\/((c**6*c)\/c)*c**(-9)))**(-9) assuming c is positive.\nAnswer: c**(-163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 + -19. Let d(x) = -12 - 4*x**h + 12*x + 0 + 7*x**2. What are the prime factors of d(-8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) 4\/3 (b) 0 (c) 0.2 (d) -2.4 (e) -777 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14377961 is divided by 3551?\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-4) - 0\/2. Let i = 3.35 - 17.25. Let v = -14 - i. Which is the nearest to v? (a) -3 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*t**4*u**3 - 2*t**3 - 25*t**2*u**3 + 4*t*u**3 - 110*t*u**2 wrt t?\nAnswer: -48*t**2*u**3 - 12*t - 50*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -667 - c7c?\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + p + 121391 = 0, -5*t + 8*t = -2*p + 182055. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*k = 16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 10*m + 2. What is j(4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -57 - -48*520\/208?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26)\/(-39)*1\/(2\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 2 = 4*m + 1, -5*m + n = 9. Let g(v) = v**3 - v + 1. Let u = 7417 - 7415. Let a(q) = 3*q**3 - q + 1. Give m*g(t) + u*a(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, c: 2, u: 4}. What is prob of sequence juc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2 - 28070154\nAnswer: -28070152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2*2*(-18)\/324\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - 1053?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 + -11. Let c = b - -9. Is (1\/(-1))\/(c\/(-4067)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 126768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is v in v**3 + 10249*v**2 + 3148444*v = 0?\nAnswer: -9932, -317, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -15*i**3 + 2*i**2 - 496*i. Let z(y) = 29*y**3 - 5*y**2 + 991*y. Let k(l) = -5*j(l) - 2*z(l). What is the second derivative of k(p) wrt p?\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 + (-9)\/2)*(-4)\/(-7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**2 + 79. Let r(x) = 3*x. Give r(g(l)).\nAnswer: -6*l**2 + 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = l + 6. Find the common denominator of 34\/5 and (-68)\/(-5) + (l - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26139.\nAnswer: 3, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1119863 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2874 = -69*o + 239*o - 12766 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 5*i + 7*i - 188, 0 = -5*n + 3*i + 470. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*(-4)\/6*(-255)\/20*-2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -31 + 72. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 666 and 220473084?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 6*m + 333. What is the remainder when o(-50) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 69 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of -k**5\/10 - k**4\/12 - k**3\/6 - 269*k**2\/2 - 11*k. Let u be c(0). Let i = u - -492. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10\/243 - -17233\/486. Let h = -36 + r. Which is the second biggest value? (a) -7 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1710479748 to the nearest integer?\nAnswer: 41358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 - -8. Let i = 1.181 + -0.181. Which is the third biggest value? (a) 3\/7 (b) i (c) 2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 15430655, 30861315, 46291975?\n\"Answer: 15430660*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of g**6\/540 + 41*g**5\/108 - 311*g**4\/216 + 52*g**3\/27 + 752*g**2. Factor w(t).\nAnswer: (t - 1)*(t + 104)*(2*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + 3 + 7 + 21. Suppose 2*p - v = 35. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f. Let t(l) = -l**2 + 6*l. Let d(h) = 5*j(h) - t(h). Let x be d(1). Is -130*(x + (3 - 4)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -5782?\nAnswer: 577d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*z**2 + 66*z**2 - 56*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 265960 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 1580 = 5*w, -28*w + 2*y + 958 = -25*w. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes after 2:53 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 183\/4 at least as big as 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101001010 + -100110000010001?\nAnswer: -100101011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*f**4 + 2*f**3 - 2*f**3 + (-f**3 - f + f)*(3 - f - 3) to the form i*f + n*f**3 + d*f**2 + s + p*f**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 12*c + 462013, -38*c + 39*c = l - 462039. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3439 or 0.27663?\nAnswer: -3439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 2*n - 2*o, 0*n = -4*n - 3*o + 70. Suppose l = 8*u - 4*u + 73, 0 = 3*l - 4*u - 219. Calculate the remainder when l is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + 93bb8?\nAnswer: 93bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -2 - (-2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -2*p - 8, p + 3*o + 7 = -11. List the prime factors of (-345)\/p*4\/5.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 5:12 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 368, 347, 314, 269, 212, 143, 62?\n\"Answer: -6*i**2 - 3*i + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y*y\/y**(6\/13))\/y)\/(y**(-2\/45)\/y)*(y*y\/(y*(y\/y**(1\/18))\/y))\/(y*y\/(y\/y**(4\/3))) assuming y is positive.\nAnswer: y**(899\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -u**2 - 1123*u - 2242 = 0 for u.\nAnswer: -1121, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -34534*f + 34583*f = 1029 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oiiiiioi. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from hayjyhhhh.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**6\/(s\/(s\/(s\/(s\/(s\/(s*s**(-5))))))))\/(((s*s\/s**0)\/s*s)\/s)**(-29))\/(s**(2\/9)*s**(-4\/7))**(19\/2) assuming s is positive.\nAnswer: s**(2099\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27.62 - 2492.98. What is i rounded to the nearest 10?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 34*b + 38*b + 29*b + 31*b - 134*b. Let t(m) = -2586*m**2. Give t(r(g)).\nAnswer: -10344*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5350 + -3815. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/(-15))\/((-2)\/(-5)). Let b be d - 0 - (-9)\/(-54). Let j = 0 + -0.1. Is j at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:32 PM and 4:57 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 21767 - 0?\nAnswer: 21767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -9*c**2 - 24*c + 7. Let f(v) = 6*v**2 + 16*v - 5. Let z(a) = 8*f(a) + 5*i(a). List the prime factors of z(5).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8155883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 9. Suppose 0 = m - 2*m + v, 5*v - 4 = s*m. Find the third derivative of 6*o**2 + 19*o**6 - 33*o**m - 6*o**6 wrt o.\nAnswer: 1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 3*m**2 + 5*m + 1 - 4*m - 2*m**2. Let y(k) = -k**2 + 6*k + 2. Let c(a) = -6*w(a) + y(a). What is the first derivative of c(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 698848\/9 + -6537283\/90. Let o = f + -5023. Find the common denominator of -37\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {c: 2, n: 2, m: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -16716 or -16717?\nAnswer: -16716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 4*h**2 - 89*h + 10. Let o = -32 - -58. List the prime factors of c(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-5) + 5505\/25. Let m be p*(147\/(-12))\/(-7). Suppose 0 = 4*c + 4, -2*y = 4*c - m - 115. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -44236120 to the nearest 10000.\nAnswer: -44240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 80941 and -10.68.\nAnswer: -864449.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = -4*y + 7*y - 36073 + 36031, -5*y + 5*i = -40 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 3*p. Suppose -k = -p - 4. Solve d - 9 = k*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 8 = 5. Sort 5, -2, x, 4 in descending order.\nAnswer: 5, 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 8*k = 5*k + 105, 5*y - 2*k = 130. List the prime factors of (-7)\/(68\/y + -3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 597442263 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1545 divided by -15.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*t + 10*t + 20*t)*(3 - 2 + 1)*(17*t - 21*t + 27*t)*(1 - 5 + 2).\nAnswer: -828*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -403*g**2 - 3255*g - 251. Calculate d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 3*n**2 - n**2 - n**2 + 4 - 2*n**2 - 4 + (-4 + 6 + 2)*(-579 + 579 + 23*n**2) as r*n + q + f*n**2 and give f.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 5*r**2 + 39. Let k(x) = 4*x**2 + 43. Determine 3*k(b) - 2*l(b).\nAnswer: 2*b**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -18.32, 2, 8\/65 in descending order.\nAnswer: 2, 8\/65, -0.3, -18.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 993*w - 978*w - 315. What is the greatest common factor of w and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1799 and -0.084.\nAnswer: 151.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.6, -2\/41, 9 in descending order.\nAnswer: 9, 1.6, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8.5523 less than -340568086.4?\nAnswer: -340568094.9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1590 - -2967. Suppose -3*f + i = -f - h, 0 = -2*h + 6. Suppose 5*t = l - 246 + f, 3*t = -2*l + 269. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 311080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/33)\/((-29)\/174).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11111100110010110100 (base 2) in base 14?\nAnswer: -1cd4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3703503 (base 8) to base 3.\nAnswer: 1220200222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110*t = 116*t - 23406. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 334528.\nAnswer: 2, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 734 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 5 (b) 51 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.9 + -9.1. Let k = n - -6. Which is the biggest value? (a) -3 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3*w - 4*w - 40 = 0, 3*j + 22 = -w. Let a be (-1)\/(-4) - (-17)\/(-4). Let g be (a\/(-3))\/((-3)\/j). Solve 5*i - 7 = -2*z + g, 16 = i + 5*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 8b159 (base 13) to base 7\nAnswer: 2102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.108 - 0.108. Which is the closest to -1? (a) 2 (b) 7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -8. Let m = w - -6. Let y = -0.3 - 4.7. Which is the second biggest value? (a) m (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 7*o**2 - 8*o - 11*o**2 - 3*o - o**3 - 3*o**2 - 1. Let t be d(-5). Solve 4*w = 8 - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/8 - (-64)\/28)*-6?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 135 divide 19291048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2441 - -2459. Let r = -1.4 + 0.4. What is the nearest to r in 2, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 4*i + 5. Let l = -18 - -30. Suppose -5*o = -2*z + 33, z - 17 - l = i*o. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1348619739 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**4\/b**(3\/7))\/(b\/b**(-2\/5))**39*((b\/(b**(-7)*b))\/(b**(-7)\/b))**(3\/4) assuming b is positive.\nAnswer: b**(-5569\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2950440419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 83*p + 5139. Determine s(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -103, 4, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 139, -39, -2806 in increasing order.\nAnswer: -2806, -39, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1\/38 (b) -0.4 (c) -4319 (d) 3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 128*q - 42*q - 27925 = -26377 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2791 is divided by 556?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (8\/(-20) - 1110533\/5)\/(-10 - -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13867 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-6)*(2 - 5). Suppose -2 = -b*x - 8. Let u = x + 17. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -3*r**2 - 3*r + 3 - 4*r + 0 + 2*r. Let c be a(-4). Let u = -18 - c. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3b9b - -7?\nAnswer: 3ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/16 and -143\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -2*v**2 - 6*v + 36. Let q be h(-6). Solve q = 4*j + j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120519983 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 26285 (base 14) to base 12.\nAnswer: 46351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 166865?\nAnswer: 83432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 136935.\nAnswer: 3, 5, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, m: 1, e: 3, y: 4}. Give prob of sequence mee.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 51178b1 - -5?\nAnswer: 51178b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of 0 + 3\/55*z**5 + 17\/660*z**6 - 14*z - 3*z**2 + 0*z**4 + 0*z**3 - 1\/1155*z**7. Determine a so that k(a) = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 232557 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 27094581*a**3 - 26089986 wrt a.\nAnswer: 81283743*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -2786*v + 10338. Calculate p(3).\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of -3*b**2\/2 + 3*b + 6. What is the derivative of k(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1126347847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 401 and -0.5?\nAnswer: -200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1, -158, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 13*d**3 - 2*d**2 - 3. Let f = -10 - -8. Let a be q(f). Let w be 1*(0 - 3) - a. What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -15.406 * 9176\nAnswer: -141365.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -488718*-0.1.\nAnswer: 48871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3\/9*-3)\/(2\/(-1594)). Let w = 2196 - z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/5 + 96837\/(-22360). Let b = -12\/215 - t. Calculate the common denominator of 93\/4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9351, 18662, 27957, 37230, 46475, 55686?\n\"Answer: -l**3 - 2*l**2 + 9324*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8308149 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of o**6\/30 + 5*o**4\/6 + 65*o**2\/2 - 2*o - 10. What is the first derivative of a(j) wrt j?\nAnswer: 4*j**3 + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -155 - -188 - (14 - 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4470\/18 - ((-3)\/(-1))\/9. What is the highest common divisor of 279 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25518709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (14\/(-21))\/((-1)\/6). Let z(r) = 6*r**3 - 2*r**2 + r. Let l be z(1). Put l, -5, u in decreasing order.\nAnswer: l, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, q: 1, k: 1, m: 1, x: 1, s: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1 - 3) + 3 - -3) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5\/932 + -31279\/233. Let r = -134 - u. Factor 1\/4 - 1\/2*c + r*c**2.\nAnswer: (c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 167.03 + -168. Let w = 0.03 - v. What is the nearest to -1 in w, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of 11*s**5\/60 + 4*s**2. Let m(j) = j**2. Calculate m(d(o)).\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 816764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 203084780 to the power of 1\/3, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6276 or 12549\/2?\nAnswer: 6276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/147 and -68\/3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 25 - 16. Let r be (u\/(-6))\/(2\/4). Let s be (-3)\/(-3) + 810002 + r. What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 437251 is divided by 54656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**2. Let q(b) = -164*b - 4. Let u(v) = -8531*v - 209. Let z(o) = -209*q(o) + 4*u(o). Give m(z(i)).\nAnswer: 46208*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 37 + 132 = 0. Let v = 17 - h. Let k = 7 + v. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 - 4 - 5 - 3 + 0 + 1 + (-2 + 4 + 0)*(4 - 2 + 0))*(-2 - 3 + 4) + 2 + 1 + 1)*(-2*j - 1 + 1) + (7*j - 3*j - 3*j)*(-1 - 1 + 4) - 2*j + 2*j + j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 + 6*r**2 - 9*r + 2. Suppose 0 = 4*s + 12 + 8. Let p be u(s). Suppose -t + 61 + p = 0. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 - 4*u + 0*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(((sqrt(114) + sqrt(114)*-2)*-1 + sqrt(114))\/(sqrt(6) - (sqrt(6) - sqrt(36)\/(2*sqrt(6)))) + 4 + -1*sqrt(931) + -3))**2.\nAnswer: -150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -121 times -38.1\nAnswer: 4610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*k = 3*d - 16, 4*k = -3*d + 29. Suppose -2*t = t - 9. Calculate the greatest common divisor of d and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1230 divided by -246.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 426301*r**2 - 59. Let j(g) = 9*g. Give f(j(l)).\nAnswer: 34530381*l**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 86\/11 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*k + 25 + 35. Let u(y) = y**2 + 2*y - 6. What is the remainder when u(-9) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 395 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of q**5\/30 - q**4\/12 + q**3 + 2*q**2. Let w be u(3). Let g = 9 - w. Which is bigger: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 89 divide 4717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 11 + 553?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 - 7*q + 3. Let x be s(7). Suppose -60 = -5*p - 5*o, -x*p + 14 = -2*o - 12. What is the lowest common multiple of p and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -496 or 1?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**5 + 8*l**3 - 35*l**2 wrt l?\nAnswer: 120*l**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 200 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**2 - 697*q + 2800. What is s(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.3, -1, -2.8, 36603?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (5\/15)\/(1 + 0)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1ae6a (base 15) to base 12\nAnswer: -42861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/9 - 2\/63. Let w be ((-2)\/(-36))\/((-2)\/8). What is the third biggest value in w, -4\/3, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**4\/12 + p**3 - 2*p**2 - 2*p. What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 78, 210, 424, 720?\n\"Answer: 41*j**2 + 9*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + 6 + -11 - (1 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 301\/2 + -2095\/14. Sort 0.5, 6, -2, u.\nAnswer: -2, 0.5, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 7, c: 4}. What is prob of picking 2 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 40 + 38 + 4483*b + 25 - 105 as i*b + s and give i.\nAnswer: 4483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -883*f**4*z - 4*f**4 - 2*f**3 + f**2*z + 109*z wrt f.\nAnswer: -21192*f*z - 96*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (68\/(-5))\/(8\/(-20)). Let k be 14\/(-21) + v\/6. Suppose a = -a + k*p + 30, 0 = a - 3*p - 17. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(112\/(-392) - (-46)\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2\/9 + 152*i\/3 - 2888.\nAnswer: -2*(i - 114)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25321156 is divided by 669.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) + (2 + sqrt(432) - sqrt(432)) + 3 - (sqrt(27)*3)\/sqrt(9)*-5)**2 + -2.\nAnswer: 270*sqrt(3) + 2210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 62 + -58. What is the nearest to -1 in 9\/4, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/((-66)\/72))\/(784\/588)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 69\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2283\/2 - -1141. What is the closest to 0 in -192, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -10*k. Suppose 2*a + 24 = 2*i, 2*i - a + 2*a - 9 = 0. Let q(w) = -12. Let r(p) = -10*p + 216. Let j(y) = 36*q(y) + 2*r(y). What is i*x(l) - 4*j(l)?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -70806270 rounded to the nearest ten thousand?\nAnswer: -70810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*a + 2*a - 3*a)*(28*a + 307 - 303 + 0*a) to the form j*a + u + q*a**2 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i**2 - 439*i + 39438 = 0. Calculate i.\nAnswer: 126, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 + 9. Let q = 2.8 + -16.8. Let g = p - q. Which is the biggest value? (a) 1\/4 (b) 4\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/7? (a) -0.3 (b) -3 (c) -1 (d) 1.11 (e) 0.006\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2112918831?\nAnswer: 3, 17, 4603309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*t + 36 = -5*s - 13*t + 8*t, 4*t + 4 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3184.89897 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 3*g + 3156 = 0, -2*q + 1588 = 14*g - 13*g. Suppose 29*l - q = 21*l. Calculate the least common multiple of l and 143.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 563867461 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 3\/1450 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-10))\/((192\/30)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -133 (base 14) to base 7\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14490 and 18306666?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 92910 divided by 1003?\nAnswer: 92910\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 23*v**3 - 5*v**2 - 5. Let t(p) = -81*p**3 + 18*p**2 + 18. Calculate 5*t(d) + 18*w(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 738*a - 735*a - 3 = 3*s, -21*s + 4 = 3*a - 23*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -4\/5, 15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -463 - -213. Let k = -260 - u. Put k, -3, 7 in increasing order.\nAnswer: k, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131756199.\nAnswer: 3, 43918733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -42437 and -2683?\nAnswer: 113858471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1550, -10913, -35924, -84407, -164186, -283085?\n\"Answer: -1304*u**3 - 235*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 85 + -89. Let h(b) = b**2 + 6. List the prime factors of h(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3537 * -11\nAnswer: -38907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 274 = 5*a, -3*a + 162 = 18*d - 15*d. Suppose -2*k - m + 1816 = 0, -53*m + a*m - 1816 = -2*k. What are the prime factors of k?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1092 and 20514?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8185554 is divided by 315.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4827651 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6922.1 - 6922. Which is the closest to -33\/2? (a) h (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 256 and 1728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l + 15. Let q be f(-10). Let b be q\/4*10\/(-75). Suppose -2*x - 10 = -5*n, x - 20 = 5*x. What is the closest to n in -5, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 109493*l**2 - 158892 with respect to l.\nAnswer: 218986*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-5*(sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72)*-3 - sqrt(72)))))\/(sqrt(30)\/(2*-2*sqrt(5))).\nAnswer: 3 + 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 13705667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 - 55 = -4*t. Let f be (3\/(-1))\/((-30)\/t). Is (67\/(-4))\/(f\/(-16)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -796 in -4, 0.4, -0.5, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 561 = 2*h, 0 = 2*l - 5*l + h + 552. Let f = 314 - l. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 1)\/(117 - 116). Is g > 24\/923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7317 = -25*x + 145458 + 425984. List the prime factors of x.\nAnswer: 5, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, h: 5}. What is prob of sequence hsss?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 119*z - 49. Let j(l) = 595*l - 259. Determine -2*j(d) + 11*o(d).\nAnswer: 119*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-147)\/(-26) - (10 + 2839\/(-221) + 3)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/(-4))\/(6\/8). Suppose 126 = d*p + p. Is 7 a factor of 3\/(51\/p + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-6)\/(-285))\/(1\/(-5)). Which is the smallest value? (a) -0.02 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 - 2*d - 25. Let j(l) be the first derivative of -l**4\/4 + 3*l**3 - 7*l**2\/2 - 19*l + 4. Let g be j(8). What are the prime factors of o(g)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3*(2 + 10\/(-3)). Let g be (2\/c)\/(-1)*0. Let h be g*(2 - 6\/4). Solve -q + h = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 8 = -0*x, o - 4*x = -14. Suppose o*h - 6*h = -7*h. Factor 3\/8*c**2 - 3\/8*c**3 + 0*c + h.\nAnswer: -3*c**2*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 325 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -8*j + 2. Let g(h) be the first derivative of -3*h**2\/2 + 627. Calculate g(x(m)).\nAnswer: 24*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2, -3, -4, -5, -6, -7?\n\"Answer: -z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 2*f = -3*l - 7, 8 = f - 4*l. Let k be (f\/5)\/((-12)\/(-90)). Find the second derivative of k*v**2 - 7*v - 3*v**2 + 4*v**2 wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 817, 2014, 4057, 6946, 10681, 15262?\nAnswer: 20689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 103 + -97. Let w(j) = -l*j**3 + 4 - 8*j**3 - 6*j**3 - 6*j + 22*j**3. Let c(n) = -n + 1. Determine 6*c(y) - w(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-44)\/33*(84\/16)\/7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -11b8e (base 15) to base 4\nAnswer: -31310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 0.9. Let r = -15.613 - 1.387. Let o = -4 + 0. Which is the third biggest value? (a) r (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7521635 divided by -30?\nAnswer: 1504327\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -65 + 71. Let w(m) = -48 + 68*m + 29*m - k*m. Is w(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79136509 or -3?\nAnswer: 79136509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2845*p**2 + 3625256*p - 3625256*p - 2*p**3)*(3*p - 4*p + 0*p).\nAnswer: 2*p**4 + 2845*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(15\/20*-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gfff when four letters picked without replacement from {f: 12, g: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1109 + 1109.002454. What is v rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 0*q - 4*k + 18 = 0, 3*q - 21 = -3*k. What is t in 20 - 300*t**3 + 337*t**q - 375*t**4 + 324*t - 67*t**2 + 61 = 0?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 2*k**2 - 6*k + 6. What is the remainder when r(-4) is divided by (120\/32)\/(6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (31 - (908\/48 + 13))\/(1\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -391661 divided by -485?\nAnswer: 391661\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 503 divided by -1?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -2*a - 3*a**2 + a + 4*a**2. Let m(k) = 4*k**3 - 7*k**2 + 18*k. Let q(w) = 3*m(w) + 21*t(w). Find the second derivative of q(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3*r**2 - 19*r + 32. What is the remainder when 11359 is divided by d(10)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2a5 - 30?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 393 + -393. Suppose -4*t - 2849 = -3*q, w*t - 5*t + 5 = 0. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111 + -1010000011001110110110?\nAnswer: -1010000011001111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*j - 6 + 5*j**2 + 6 + (3*j + j - 5*j)*(0*j + 2*j - 3*j).\nAnswer: 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26499201.\nAnswer: 3, 59, 149713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2103 - -2706. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 111, -2, -937.\nAnswer: -937, -8, -2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2b575 (base 12) to base 13\nAnswer: -21b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -12*a. Let x be h(-1). Suppose 4*f + 0 = -x. Let o(d) = -5*d**3 + 4. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -51*a + a - 4 - 96 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor g**4\/2 + 4*g**3 + 15*g**2\/2 - 2*g - 10.\nAnswer: (g - 1)*(g + 2)**2*(g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 120? (a) -2\/7 (b) -868 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3\/4)*r\/r**(3\/5)*r*r*r**(2\/5)\/(r**(-8)*r*r*r))\/((r\/(r*(r\/r**(-2))\/r))**(-1\/8)\/((r*r**(-1))\/r)**(-2\/53)) assuming r is positive.\nAnswer: r**(1812\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 352*b + 6344. Let a be v(-18). Solve 5*r + 25 = -5*u, 4*u - a*u = -4*r - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 0 + sqrt(128).\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*z = 15*z + 54. Suppose -z*f + 7*f = -110. Find the common denominator of 13\/14 and 4\/f - 384\/135.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 2*g**2 - 18*g - 50. Let v be k(23). Let m be -5*1 + v\/135. Which is smaller: -43 or m?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 76 + 66 = 0. Let x = -4.82 + -0.18. Let d = -8 - -9. What is the closest to d in -1, m, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30 and 25990?\nAnswer: 77970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of 3*t**2 + 1\/6*t**3 + 0*t + 0 + 1\/6*t**4. Determine i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 5 = 3*i - x, i - 2 = 3*x. Which is bigger: -3\/25 or i?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -t - 87 + 82 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 6 - 12*k - 3*k**2 - 3*k**2 + 7*k**2 + k. Determine x(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 3. Suppose -2*w - 20 = -3*j, -4*j + 17*w - 21*w = 0. Let l = 20.09 - 20. Which is the third smallest value? (a) l (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 AM and 10:12 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o - 1 + 1)*((-1 - 5 + 4)*(-3 + 6 + 2) - 2 - 5 - 3)*(20 - 20 + 4*o) as u*o + x*o**2 + f and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1457 is divided by 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*q + 9. Suppose -b + 4 - 1 = 0. Let o = b + q. Is o less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15*((-16)\/10)\/(-4). Let o = 563 - 558. Let g = 2\/35 + -1\/5. Which is the third biggest value? (a) z (b) 4 (c) g (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3721032 by 1926.\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30650 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 68 + -9 - (-7 + 11 + -4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 168, 1, -6, -61, -9, 3 in increasing order.\nAnswer: -61, -9, -6, 1, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5496916.\nAnswer: 2, 17, 229, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -138*v**2. Let d(n) = 75*n. Give k(d(w)).\nAnswer: -776250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u - 5. Let v(h) be the second derivative of -h**2\/2 + 5*h. Give -n(k) + 6*v(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 137251 is divided by 235?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -m + 5*d, -3*m - d = -0*m + 12. Let v(x) = x - 1. Let n(g) = -5*g + 2. Let h(f) = m*v(f) - n(f). Suppose 2*p = -2, 0*i - i = 3*p - 2. What is h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 4*l + l - 3*i, 5*l + 40 = -3*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 8 + 5*w**2 - 2*w**3 + w + 5*w + w**3. Let r be k(6). Suppose 48 - r = 4*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h. Let b be m(0). Let r(z) = z**2 + 5. What is the lowest common multiple of 19 and r(b)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1175.7 + 1176. What is the biggest value in -2\/11, 0, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3139187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2189267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9899522 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 7*y**2 + 4*y + 59. Suppose -3*b = -14*b - 55. Let p(d) = -15*d**2 - 9*d - 119. Let v(r) = b*a(r) - 2*p(r). What is the derivative of v(w) wrt w?\nAnswer: -10*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.677 - -2.277. What is the nearest to 2 in 0.3, m, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 6*i - 8. Let u be c(4). What is the highest common factor of 80 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**5\/60 - 13*y**4\/24 - 3*y**2. Let l be u(13). Is l less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5662*0.4.\nAnswer: 0.22648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**3\/8 - 1254*x**2 + 658464*x - 94818816.\nAnswer: 3*(x - 2736)*(x - 304)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4080504097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/27 + (-344)\/(-9). Let d = -165 + w. Let j = -91 - d. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44 - 101709\/2295) + (-7)\/(-35).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 179, 179, 181, 185?\n\"Answer: t**2 - 3*t + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64860 is divided by 31900.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(11) + 2*sqrt(55)\/sqrt(5).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 7*k + 2499 = 4*s, 1257 = 2*s + k. What is the highest common factor of s and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2161 or -2163?\nAnswer: -2163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z**3 - 49*z**2 - 60*z + 139. What is the tens digit of s(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23104 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 - y - 7. Let g be l(0). Let c(z) = z**2 - 2*z - 5. Suppose 14 - 69 = -26*p + 49. Let t(s) = 2*s**2 - 4*s - 9. Give g*c(m) + p*t(m).\nAnswer: m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(55)\/sqrt(396) + sqrt(55)\/sqrt(11)*4.\nAnswer: -1 + 25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -1 + 4. Suppose 7 = 2*v + 3*s, 2*s + b + 14 = 3*v. Solve v*x - 10 = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {l: 1, z: 3, h: 9, b: 3, d: 1, m: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -197.2 (b) -6 (c) -3\/5 (d) -2\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a + c7c?\nAnswer: c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1688 - -1690. Suppose -4*g = -5*a, 4*a - g - g = 6. Solve -u - b*u + a*l = 9, -4*l + 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of f**3\/24 + 147*f**2\/8 + 21609*f\/8 - 158. Factor w(m).\nAnswer: (m + 147)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*j + 8*j + 41280 = 15*j. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p = -7171\/5 + 150431\/105. Let n = -452\/315 - p. Find the common denominator of -35\/8 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/(-3))\/(6\/(-9)). Let g(p) = -2*p**j + p**2 + 10 + 2*p + 0*p + 4*p. List the prime factors of g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -10. Let t(l) = l + 5. Let w be t(c). Solve 0 = -3*j - 7 + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 times 0.0455?\nAnswer: 0.01365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -13, -0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 12:49 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 0, 4, -1 in increasing order.\nAnswer: -4, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the third derivative of 29*r**6\/120 - 59*r**5\/60 - 261*r**4\/4 + r**3\/3 - r**2 - 1969*r - 1. What is the second derivative of a(k) wrt k?\nAnswer: 174*k - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -934 * -99\nAnswer: 92466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - 2)*8\/(-10). Let r(v) = 36*v**2 + 2*v + 5. Is r(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 - v**2 - v + 4. Determine k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*(v**(-3)*v)\/v*v*v**2)\/(v*v*v*v*v*v**11*v*v**1) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 135080 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p. Let y(k) = -17*k + 5. Give -5*v(c) + y(c).\nAnswer: -22*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Solve 39*f + 2366 = -52*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 73627174 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 + (-5 - 0) + (0 - 0). Solve 0*k - 2*k - 6 = b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 0)*(-3*v - 2*v + 4*v) + 18421 - 18421 - 132*v to the form q + s*v and give s.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 7:53 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 9142603360 + -0.33861?\nAnswer: 9142603359.66139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1519173 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6625337.1400123 + 6625338. Let s = 0.811 - -0.049. Let g = s - x. Round g to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 18*q - 262. Let w(s) = -26*s + 394. Let k(y) = 8*j(y) + 5*w(y). Is k(13) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + 9*w**2 + 9*w + 13. Let m be i(-8). Solve -35 + 15 = -m*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**2 + 12*w - 6. Suppose d = 4*s - 324, -3*d - 132 = 4*s - 472. Calculate the remainder when s is divided by f(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10\/3 - (-18)\/(-135)*-5. Solve -z + 4*n = 7, w = -6*z + 2*z + 4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 18\/36 - 238\/20 and 89\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3140 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 141 - -126. Let p = t + -145. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -75*((-104)\/24 - -4). Solve -4*a = a + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 40 + -18. Suppose 3*b + q = -26. Let u = b - -22. Which is greater: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3968839 and -2.28?\nAnswer: -9048952.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10654 - 10653. Solve 23*w = 18*w + s - i, w - 15 = 4*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*w + 3. Let x = 1688629\/5720 + -17\/1144. Let p = -296 + x. Is w bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1869 (b) 2\/8017 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 6699 by -609.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -22*i**3 - i**2 - 2*i + 2. Determine r(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*l + 408*l - 10*l = -11526 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 12 = 5*m. Suppose -i + 15 = -3*u, -m*i + 6 = -3*u - 6*i. Is (-5)\/(-20) + -3 + (-9991)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 178603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is f in -3*f**3 + 0 - 93\/2*f**2 + 24*f = 0?\nAnswer: -16, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26308144 and 34?\nAnswer: 447238448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11613113*q**2 - 8812155*q?\nAnswer: 23226226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 47\/7 - (-2)\/7. Let x(c) = c**3 + c**2 - 22*c - 1. Let s = -1610 - -1616. Let m be x(s). Calculate the highest common factor of r and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 59 = 4*w. Let f(t) be the third derivative of -t**5\/60 + 11*t**4\/24 + 7*t**3\/3 + 8*t**2 + t. Let z be f(w). Solve 0 = u - z*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -36*z + 9. Let g(x) = 100*x - 5. Give l(g(u)).\nAnswer: -3600*u + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 - -5. Let a be ((-10)\/4)\/(m\/(-420000)). What is a rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 4*b - 176, 4*b - 34 = 3*b - 2*k. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*d**5\/7 - 12436*d**4\/7 + 18672*d**3\/7 = 0.\nAnswer: -1556, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -453, -1880, -4395, -8112, -13145, -19608, -27615?\nAnswer: -37280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 3*o = 0, 0 = -0*o - 4*o + 20. Let f(v) = -4 + 0 + g - v. Determine f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3555 - 18233 = 280*i + 558*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (42\/35)\/(9\/30). Suppose 4*v = -5*o + 103, -o = b*v - 58 - 49. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 - (0 + -3) - -5. Let a(h) = -h**3 + 9*h**2 - 2*h + 1 + 2*h**w - 2*h**3 - 2. What are the prime factors of a(-4)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (9 + 1)\/(((-84)\/3)\/(-14)). Solve 0 = -w + 5*p + b, -18*p = -13*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j + 4. Suppose 0 = 2539*y - 2115*y + 1696. Let t(v) = 2*v - 8. Let q = -16 - -7. Calculate q*p(a) + y*t(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -50*o**5\/7 + 130*o**4\/7 + 11838*o**3 + 358702*o**2\/7 + 120304*o\/7 - 39072\/7 = 0.\nAnswer: -37, -4, -3\/5, 1\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -2. Let b = -3 - -7. Let j be (4 + (-39)\/9)\/((-2)\/(-30)). Sort b, h, j in descending order.\nAnswer: h, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/4 + 2\/8. Suppose 0*o = -o + 42. Let z = -30 + o. Solve -3*t = -p*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 526.1 + -497. Let d = -29.66 - -0.66. Let x = v + d. Which is the third biggest value? (a) x (b) 6\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 plus -176.3?\nAnswer: -173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3344804 is divided by 764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + i**2 - 2*i. Let z be p(-2). Suppose z = -6*v - 46 + 334. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -g**3\/4 - 85*g**2\/4 + 87*g\/2 = 0.\nAnswer: -87, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 208\/(-352)*11 + 276\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/17 + 30520*h**2\/17 + 183048*h\/17.\nAnswer: 2*h*(h + 6)*(h + 15254)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 7.31 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - 4*f - 1. Let c be v(3). Let s(h) = h**3 + 4*h**2 - 7*h - 5. List the prime factors of s(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 11\/(-3))*492\/(-205)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5003373 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -10 + 27 - 14 - 2\/4\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (-3 - 12) - -8 - (-70 - -15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 621*k + k**2 - 14 + 23 - 622*k. Determine w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 47524 by 11881.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 7*i**2 - 8*i + 2. Let g be t(8). Suppose 2*r = r + 2*p + 43, 5*r + g*p = 155. What is the remainder when 131 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 309344\nAnswer: 92803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide (3 - 3\/6)*(-248)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -4*v**5 + 21924*v**4 + 109684*v**3 + 197468*v**2 + 153600*v + 43888 = 0.\nAnswer: -2, -1, 5486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 79912763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - -24. Let w = a - 26.011. What is w rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -5*m - 4*v, -7*m + 2*m = -3*v + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*u = -4*u + 11456. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from {l: 2, o: 17}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - -11. List the prime factors of (6\/4)\/(6\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -398836\/889 - -3140\/7. Is l != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 4 - 11*p**4 + 12*p**2 - p**4 + 11*p**4 + 3*p**3 - p**3 to d*p**4 + j*p**2 + o*p + f + c*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 395835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.806963439 to 5 decimal places.\nAnswer: -0.80696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - 38126?\nAnswer: -38121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 4*y**2 - y + 6. Let a = 13 - 18. Let t be f(a). Let z = -77 + t. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h + 1. Let i(l) = -l**3 + l**2 - l + 3. What is 3*a(b) - i(b)?\nAnswer: b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 9 (b) -5\/4 (c) -5 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 75033815 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 23*s**2 + 19*s + 53. What is b(-3)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 + 3*n**2 + 7*n + 7. Let f be g(5). Let l = -54 + 50. Is f less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 65021 and -95497.\nAnswer: -30476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 54*d = -59*d - 28, -p - 5*d = 31 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -25 + 25 + 37*p. Let b(w) = -2*w**2. Calculate k(b(z)).\nAnswer: -74*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -48268000 to the nearest one hundred thousand.\nAnswer: -48300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 + 18*t**2 + t + 8. Let o be a(-18). Let z be 2\/10 + (-38)\/o. Suppose -w = -3*c - 328, -z*w + 2*c = -466 - 876. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7135947347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/9 - 24*r + 214\/9.\nAnswer: 2*(r - 107)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r - 2. Let a be i(2). Suppose -a*z = 2 - 6. Let t = 4 + 10. Solve z*c = -0*w + 4*w + t, -c = 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -35268*k. Let x(d) = 18*d**2 - 12. What is y(x(t))?\nAnswer: -634824*t**2 + 423216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**2 + 4*x - 12. Let q be b(2). Suppose -j + 22073 = q*j - 4*h, 5*h + 4402 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 89\/(11570\/(-208))*(2\/8)\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-21))\/((-23)\/(-1518)*22)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**5*y**2 + 52*c**5*y + 91*c*y**2 + y**2 wrt c.\nAnswer: 40*c**3*y**2 + 1040*c**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-22)\/(-66))\/((-3)\/23) - -3. What is the biggest value in 4, 2\/9, p, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 1 = 31. Let l = c + -3. Solve l*b = b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 2:42 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -461312 divided by 4.\nAnswer: -115328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-14) + (-1258)\/(-238). Let y(j) = -j**3 - 3*j**2 - 2*j. Let z be y(-2). Which is the closest to x? (a) 0.3 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 44 = -5*g - 2, -4*g - 4*c - 44 = 0. What is the closest to -2\/3 in g, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/17, -7.3, 50, 17.4?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2721 + 12795 = -23*n. Let m = -408 - n. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 77 - 55. Let d = 23 - h. Let m be 1*((-6)\/(-3))\/10. What is the closest to d in -3, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -114090*n**2 - 98516.\nAnswer: -228180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -979*o + 721. Let i(y) = 653*y - 481. Let k = -592 + 599. Let l(f) = k*i(f) + 5*u(f). Find the first derivative of l(j) wrt j.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 - 1) + (-9 + 10)*2. Solve -70118*v**2 + 70112*v**2 + 3*v**3 - 2*v**q + 8*v = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -139*6.4\nAnswer: -889.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11.97 - 10.9. Let a = -1.1 + k. What is the nearest to 1 in 1\/8, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 127131?\nAnswer: -127134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 973667\/38 or 25623?\nAnswer: 25623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*h*p**3 + 32*h - 339*p**3 + 2*p + 1 wrt p.\nAnswer: -18*h*p - 2034*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 660048 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: Solve j - 4*f + 3*f = -8, 4*j + 23 = f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3231, -9752, -20611, -35796, -55295, -79096?\nAnswer: -107187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 - 15*k + 8. Give d(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1212 = 5*g + 2*s, s + 1 = -3. Is g a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1472, -2916, -4348, -5768?\nAnswer: -7176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-203 - -204) + 0 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38934789?\nAnswer: 3, 41, 349, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 0 - (-1 + 200\/44) and 19\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34844, -34826, -34808?\nAnswer: -34790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 76856, 327908, 746328, 1332116?\n\"Answer: 83684*y**2 - 6828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18.36 + -22.36. What is the nearest to 2 in -0.26, a, -5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6921427 millilitres in litres?\nAnswer: 0.0006921427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:09 AM and 10:37 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -98*a*v**5 + a*v**3 + 741*a + 3*v**5 + v**2 - 1 wrt v.\nAnswer: -5880*a*v**2 + 6*a + 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 113085 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-282)\/4)\/((-6597)\/4398).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -21511891.5 * 5.\nAnswer: -107559457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 389 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -29.3 - -31. Let z = -0.57 - 0.13. Let k = z + y. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c + 3*c - 2*c + (-1 - 1 + 0)*(0*c - 4*c + 2*c) + 45*c + 2 + 45*c - 111*c.\nAnswer: -18*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 3)*(h - 19*h - 32*h - 23 + 23 - 9*h + (7 - 2 - 3)*(0*h - 2*h + 0*h) + 1 + 2*h - 1) to the form o*h + i and give o.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -2*n**2 + 8*n + 7*n**2 + 7 + 2*n**2 + n**2 + n**3. Let p(h) = h - 2. Let r be p(-4). Is u(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 32 = 6*n. Suppose 0*l = 2*l - 128. What is the greatest common factor of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-18)\/(-4)*2\/1. Suppose 0 = 5*g + j + v, -j - 3 = -3*g - 2. Sort 1, g, -3.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (32\/20)\/(6\/(-15)). Let h be (d + 27\/6)*0. Solve -q + 1 = -h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4.7 - -4.8. Let n = 0 + 0.05. Let m = n - -0.35. What is the closest to t in 2\/13, 0, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3873 is divided by 351?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 66830686 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/5 - 576*z\/5 + 214081\/5.\nAnswer: -(z - 257)*(z + 833)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -615*q - 3549 - 1986 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 96035195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-4\/9)*u*u*(u**(2\/17)*u*u)\/u)\/((u*((u*(u**(3\/5)*u)\/u*u)\/u)\/u)\/(u**(-3\/4)*u)))**(-45) assuming u is positive.\nAnswer: u**(-7109\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 33\/5, -5, -0.1, 3, 0, -7 in descending order.\nAnswer: 33\/5, 3, 0, -0.1, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*i - o + 38 = 141, -2*i + 0*o + 91 = -3*o - 2*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5.7 times -4\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 187\/5875 + 4\/125. Let d = 148 - 138. Suppose 0 = -b - 3*a - d, -2*a + 8 = b - 5*a. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20*d**2 - d + d as x + z*d**2 + j*d and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of r**5\/12 + 17*r**4\/24 - r**3\/6 - 3*r**2 + 238. Give k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, 31, 11, 2, -4, 7 in increasing order.\nAnswer: -4, -1, 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j*j**(1\/21)\/j)*j)\/(j*j**(-3\/5)*j*j) assuming j is positive.\nAnswer: j**(58\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 67 - 47. What is the least common multiple of u and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 + u**4 + (-2*u + 0*u + u)*(-2*u**3 + 3*u**3 + 0*u**3) + u**3 + 2*u**4 - u**3 to the form t*u**4 + s + k*u**3 + i*u + z*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/68 + 14356\/158508\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 d, and 2 a when four letters picked without replacement from adaazkakdkkkkkkkk?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from zypwwpzpppwypwyyzyzz.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be 28 + -35 + 26\/2. Solve t = -4*h - 9, -h - 3*t + a = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 2 + 1 = -h, 3*h = 3*y + 3. What is the remainder when 33 - ((-2)\/y + -1) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -7*(-11*1 - -2). Suppose -g = 18 + 27. Let u = g + t. Calculate the least common multiple of 4 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1495\/230*(-4 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 685*j**2 - 15*j - 18. Is c(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 98, -1 in descending order.\nAnswer: 98, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-6)\/(t\/((t*t**14)\/t)*t)*t*(t**(6\/7)*t)\/t*t*t*t**16 assuming t is positive.\nAnswer: t**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7610292 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3\/2710 - 178839\/18970. Let p = q + 62\/7. Suppose -2*o - 3 = o. Which is the biggest value? (a) p (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*c - 37*c = -179. What is c rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -3 - 34*l**2 + 33*l**2 + 22 + 6*l - 5. Calculate d(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -3*h - 30, -3*h - 47 = 5*b + h. Let d(u) = -9*u - 11. Let i(g) = 4*g + 5. Let t(l) = b*i(l) - 3*d(l). Let w = 1 - -1. Determine t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 - 1. Suppose 4*q = 2*c + 8, d = 2*q - 0*q + c - 4. Suppose r = -q + 1. Is 2\/5 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 61*o**2*v**3 + 1428*o**2*x**3 - 17*o**2 - 28*o*x**3 - 698751*v*x**3 + 7*x**3 wrt v.\nAnswer: 183*o**2*v**2 - 698751*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 36*k**2 + 16*k + 26. List the prime factors of c(-5).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eim when three letters picked without replacement from impfemimfiefhhi.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 3*v + 12 = 0. Let y = 10264\/5 + -2055. Put -1\/5, y, 3, v in descending order.\nAnswer: 3, -1\/5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -49, -212, -491, -892, -1421?\n\"Answer: -i**3 - 52*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -18*y**3 - 19*y + 6. Let d(r) = 18*r**3 + 18*r - 5. Let q(u) = -6*d(u) - 5*f(u). Find the second derivative of q(i) wrt i.\nAnswer: -108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g**(3\/5))**7)**20*(g\/(g**(-2\/7)\/g))**(-1\/4)*(g*(g\/(g\/(g*g**0*g)))\/g*g)**(-28) assuming g is positive.\nAnswer: g**(1956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -41.9737 rounded to one dp?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 405 and 2641?\nAnswer: 1069605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 797465?\nAnswer: 5, 349, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + y = -24. Suppose 3*i + 46 = 4*g, y*g - 3*g - i - 52 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 2*d - 2*i, -2*i - 5 = -i. What is the lowest common multiple of 1*d + 0 + -2 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.2 + 1. Let r be -4*(-1 - 5)*(-10)\/(-15). Suppose -30*c = -r*c + 154. What is the closest to t in 0, c, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1070076 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/12 + 2\/(-6). Let r = -4 - k. Let m(q) = -17*q - 35. Let g be m(-2). Put r, 0, g, -5 in descending order.\nAnswer: 0, g, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -5*k**3 - k - 1. Let g be m(-1). Suppose g*j + 4*a - 50 = 0, a - 6 = -1. What is the common denominator of (-94)\/j - (-3)\/6 and 41\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3814.39769263 + 1.\nAnswer: -3813.39769263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(108) - ((-2*sqrt(108) + sqrt(108) + sqrt(108))*-1 - sqrt(108)))\/(2*sqrt(3)*2))\/((5*sqrt(96)*2)\/(-2*sqrt(8)*-4)))**2.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 - -8)\/20 - (-52)\/48. Sort s, 5, 3 in descending order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29, 34, 51, 86, 145, 234, 359, 526?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 17*w = -112*w + 798 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 205 - 200. Solve 3*i = p*h + 2, -2*h + 30 = 3*h + 5*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -18, 107004 in decreasing order.\nAnswer: 107004, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 77 - 37. Suppose 3*c - 25 = -2*c - 5*n, 2*c - 12 = -3*n. Let m be (c\/(-3) - -5)*4. What is the highest common divisor of m and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -3*z + b + 47, -b = 2. Suppose 3*w + z = 57. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.00056*-2564\nAnswer: -1.43584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -13910.8 and 0.141.\nAnswer: -1961.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1063 less than -9762441285?\nAnswer: -9762441284.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48*(21 + (-6030)\/288)*(-47)\/(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -181, -644, -1555, -3064?\nAnswer: -5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ikfxdfdr. Give prob of sequence xd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-79)\/(11692\/(-74))*-84\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1428\/11 + 130. Let l(a) = -49*a - 50. Let x be l(-1). Let j = 1 + -1.01. What is the biggest value in j, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -5 + b**3 + 3*b**2 - 5 + 3 + b**2. Let k be w(-3). Solve 3*x = 6*a - a + 9, -k*x + 2 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 165.16 * 19.\nAnswer: 3138.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*o - 17*o + y = -4, 4*o = 2*y. Find the second derivative of 132*x**o + 18*x - 97*x**2 - 114*x + 167*x**2 wrt x.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12 + (1 - (-2 + 2)). Suppose -10 = -3*o - 2*j, 5*j - u = -5*o + 2. Suppose -x = -0*x - 4. Solve 4*f = -o*i + 12, 4*f - 16 = -2*i - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 605661064 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 4\/3 (b) 3 (c) 0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 377 - 382. Which is the nearest to 20? (a) 0.3 (b) 1 (c) -3\/4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-12)\/(-4)*24\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-10)*5 + 1718\/132. Let j = -83\/6 + p. What is the third biggest value in 1\/2, -25, j?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**2 + 8*h - 3. Let v be g(7). Suppose -2*w - 4*c - 12 = 4, -v*w + 18 = -2*c. Suppose 13 = 3*r - w*r. What is r rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2201 - 44*c - 2201 to v + p*c and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 22524148921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(11) + sqrt(44)*4)**2*-1.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/7)\/((2 - -2)\/(-252)). Let q = s - 25. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15593.5l in millilitres?\nAnswer: 15593500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14718807445 - 14718807445 - 8*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 160 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 - 10. Let a = 157 - -86. Suppose -3*n = -261 + a. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k*(k*k**(-5)\/k)\/k)*(k*k\/(k**25*k)*k)\/k assuming k is positive.\nAnswer: k**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -2*w**3 + 98*w**2 - 69*w + 8544. Calculate p(50).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 - f**2 + f + 1. Let t = 560 - 561. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**3*j*j**(2\/7)\/j*j**(-3)*j*j**1)\/(j**(-1\/7)\/(j\/(j\/j**(-5))))**47 assuming j is positive.\nAnswer: j**(-226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {h: 2, s: 6, i: 8, k: 2, x: 1, e: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-5 + sqrt(98) + 0)*6)**2.\nAnswer: -22140 + 12600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3955 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 12*i + 82. What is j(0)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22806 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -16, -15, -14, -13, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2304 (base 7) to base 2.\nAnswer: -1101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -3\/4 (b) 0.79 (c) 5\/6 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 5*j = -5, -d + 3*j - 5 = -0*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 2*m + 8. What are the prime factors of (-9 + -87)*m\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4826 + 77117\/16. Find the common denominator of -57\/14 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -779, -1922, -3065, -4208, -5351?\n\"Answer: -1143*g + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*d + 3*d - 3*d)*(46*d - 46*d + 42*d**3) to the form x*d**4 + o + g*d**2 + y*d**3 + l*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - ((-2 - -4) + -2). Let m = y + -1. Let i(f) = 2*f**2 - 2*f + 7 - 2*f**2 - f**m - 2*f. Determine i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*d**4 - 25*d**3 + d**2 + 40*d + 647196.\nAnswer: -12*d**3 - 75*d**2 + 2*d + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 3 + 6*n**2 + 2 - 9*n + 6. What is the tens digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.03 - -4.03. Let f = 5.5 + -3.7. Let h = 1.8 - f. Sort 11, h, d in descending order.\nAnswer: 11, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + b**2 + 1. Let h(m) = -m**3 + m**2 + 2*m + 2. Let r(v) = -h(v) + i(v). Let d be r(-1). Let t = 0 - d. Is -2\/9 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -13*v + 8. Let k be g(1). Let r be (k\/((-60)\/(-8)))\/((-6)\/27). Let d be (-78)\/(-21) - 6\/(-21). Solve -d*i + i = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4522050 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 94\/3, 2\/9, -5 in decreasing order.\nAnswer: 94\/3, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*b + 5*b - 5*b - 2)*(-25*b**2 + 63*b**2 + 7*b**2) to the form k*b + z*b**3 + v*b**2 + g and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 - 11*c**2 - 5*c + 19. Let w(t) = -t**3. Let n(m) = -s(m) + 4*w(m). Let f be n(-9). Suppose 4*p + 935 + 1332 = 3*g, f = 4*g - p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 9*p - p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 4*s + 1. Let v be n(5). Suppose v = 3*g - 18. Let i = 340 - 226. Calculate the remainder when i is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 32 + -28. Suppose 2*v + b + 14 = 0. What are the prime factors of (-6)\/v + (-266)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 29*q - 3. Give g(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -4600 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4736 + -4374. Calculate the remainder when d is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 - -27. Let x = -69\/7 + 10. Factor x*u**a + 4\/7*u + 4\/7.\nAnswer: (u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -41 - -46. Let o(s) be the third derivative of -1\/80*s**r + 0 - 1\/32*s**4 + 0*s**3 - s**2 + 0*s. Determine t so that o(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -8.8. Let x = -0.5 + f. What is the second biggest value in x, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -181*j**4 + 182*j**4 - 3*j**3 + j + 2*j**2 + 6*j**3 - 6 to d*j**3 + f*j**2 + u*j + g*j**4 + c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -143 divided by 753142.\nAnswer: -11\/57934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 3126 = 5*o, 5*o = u + 666 - 3862. Which is the third smallest value? (a) -3 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 505*y**2 - 252*y**2 - 243*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1665207.\nAnswer: 3, 53, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -g - 14, -3*g = 4*n + 3 + 4. Let q(y) = -2*y - 19. Let z be q(g). Let u(m) = -4*m + 2. Let o(f) = -3*f - 2*f + 4*f. Determine z*u(l) + 3*o(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -8921, -17846, -26769, -35690?\n\"Answer: n**2 - 8928*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/9*60 + -1. Let o be (52\/(-16))\/(3\/(-144)). What is the highest common factor of r and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.9 + -2.1. Let z = 74 - 69. Which is the biggest value? (a) z (b) 1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 5.55 (c) -2\/537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 12 + -10. Suppose 2*d = 4*r + b, -r + 3*d - 18 = -d. Factor -14*o - 3*o**r + 7*o**3 + 14*o + 5*o**3.\nAnswer: 3*o**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 17 = 3*x, -2*z - 1668952*x = -1668958*x + 14 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3.09877nm in meters?\nAnswer: 0.00000000309877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8384536*x**6*z**2 + 2*x**2*z - 1293409*z**2 wrt x.\nAnswer: 1006144320*x**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 39 = 129. Suppose -4*v - 12 = a - 0*a, 5*v = -20. Let f be ((-6)\/a)\/((-9)\/c). Solve -3*z - 10 = -4*m + 10, 2*z = -f*m + 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -82643.93445 to the nearest ten.\nAnswer: -82640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxcxc. Give prob of picking 1 c and 3 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*m = 77*m. Is -5\/76 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-6) + (-26)\/(-6). Suppose -k*n = -n - 150. Suppose -6*p + n = 8. Solve -3*y + p*c = 4*c - 27, 5*c + 17 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*b = 73*b + 4*j - 4582, -5*b = 3*j - 11441. What are the prime factors of b?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 3*k. Let s = 0.25 - 6.25. Let z = 5.9 + s. What is the third smallest value in 4, z, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15437396?\nAnswer: 2, 13, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 488 or 975\/2?\nAnswer: 975\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -763850 divided by -5\nAnswer: 152770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l - l - 4*l)*(0*l - 3*l + 2*l) + (1 + l - 1)*(2*l + 3*l - 6*l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 - 6*v + 2. Let i be n(6). Suppose 0 = i*x + 2*x. Solve -2*w - 2*w + 16 = x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2942*u - 3018*u + 5257*u + 3 - 2 as l*u + w and give l.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from ammmagmvm.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1796 + 3203. Let d be (-6 - -5)\/6 - w\/(-18). What is the greatest common factor of d and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -73 + 108. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/29*2 - 0. Suppose -25*d + 23*d = h - 6, -3*h = -4*d + 12. Which is bigger: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 - -78. Let l = 75 - w. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -10, 11918, -5, -2 in decreasing order.\nAnswer: 11918, 3, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*s + 11*s - 6*s + 5*s to the form h + x*s and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 AM and 8:24 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**4 - 6*r**4 - 2*r**4 + (2*r + 0*r - r)*(0*r**3 + 4*r**3 - r**3))*(-1 + 1 + 2*r).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-14)*21\/27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -5*d**3 - d**2 + d + 1. Let r(y) = 91*y**3 + 15*y**2 - 14*y + 138. Give 17*m(i) + r(i).\nAnswer: 6*i**3 - 2*i**2 + 3*i + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00322337853 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {k: 2, o: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30666 = 5*y + 4*r, -3636 = -y - r + 2496. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 338001 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -l + 14, 3*w + 44 + 2 = 5*l. Suppose -65 = -3*t + 2*a, 5*t + l = -4*a + 156. What is the remainder when 143 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -549 in 0.1, -11, 7, -0.08, -0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 3*h - 76184994 = -9*l, 3*h - 30474006 = -2*l. Round l to the nearest 100000.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*h**2 - 2*h - 20*h**4 + 14*h**3 - 22*h**3 - 1 + 2 + 19*h**4 as v*h**4 + m*h**3 + f*h**2 + s*h + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from bhwlw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1325212550 - -5?\nAnswer: 1325212555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -926 + 937. Solve 0 = q*l - 18 - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -8*s + 10*s**2 - 4*s**2 + s**3 + 8 + s**2 - 2*s**3. Let t be o(6). Put 5, -1, t in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -327 and 153604.\nAnswer: -50228508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 3\/103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(((-14)\/(-7))\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes after 2:58 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1327 - 245 + 258)*(-3*j + 2*j + 0*j)*(3*j**3 - 3*j**3 - 4*j**3).\nAnswer: 5360*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3755965 is divided by 129494.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/36 + 11\/((-297)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 201 - 1807\/9. What is the nearest to -1\/2 in 2\/3, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.926 + 62.424. Round y to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 4063*b + 16. Let u be j(-5). Let t = u - -30841. Suppose -8*y + t = -2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -15\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 2*w + 22. Let l be z(-5). Suppose -l*d + 64 = 8. Let x be 7\/28 + 30\/d. Solve -4 - 4 = x*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1603386 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w - 14. Let q(x) = -6*x - 99. Determine 2*q(v) - 15*u(v).\nAnswer: 3*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 2*i**2 - 10*i - 12. Let g be w(9). What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 4*q = 5*s, -2*s = -3*q + 25. Let r = -583 - -582.7. Which is the second biggest value? (a) r (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 + 3*m**2 + m - 1. What is the tens digit of p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 2*m - 3*m + 20, -3*a + m = 4. What is the common denominator of 10 + -6 - (87\/57 - a) and 13\/9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -5*c. Let m(u) = 5202*u. Determine v(m(f)).\nAnswer: -26010*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1815 and 940.\nAnswer: 341220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/(-3))\/((-6)\/(-12)). Put q, 4, -1 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 117645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1997, 3941, 5885, 7829, 9773, 11717?\nAnswer: 13661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-4*sqrt(77) - sqrt(77))\/(4*sqrt(1100)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 11:00 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 5*y**2 - 4*y + 7. Determine f(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -1688*q - 994*q + 171*q**2 + 548*q**3 - 546*q**3 + 12798 - 49*q**2.\nAnswer: 2*(q - 9)**2*(q + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1863671, -3727342, -5591013, -7454684?\n\"Answer: -1863671*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (51 + -5 + 10) - (-47 - (45 - 85)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9106611 and 2?\nAnswer: 18213222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - 4*o. Let v = 5 - 8. Is t(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 963 - 232 - 247 - 4*l - 232 - 252.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 + n**2 + 2*n + 49. Let t be x(0). Let i = 69 - t. Let z be (i\/(-25))\/(4\/(-10)). Which is smaller: 3\/16 or z?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/15)\/((-7)\/140*12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwmmwmwmmwwwm. Give prob of picking 1 m and 1 w.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 2\/119, 0.2, 5\/37, -15, 1 in decreasing order.\nAnswer: 1, 2\/9, 0.2, 5\/37, 2\/119, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 12:26 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1*365\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/11)\/y)\/y**(-1\/20))**(-9\/7) assuming y is positive.\nAnswer: y**(243\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 101013131 (base 5) to base 9\nAnswer: 680625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 530755 (base 10) in base 15?\nAnswer: a73da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -2) + 3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5, -53, -143, -281, -473?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10504 is divided by 952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24832954 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-43 - -71 - -25) + (1 - 20).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 159283 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (-1 + sqrt(171) - sqrt(171)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 10153365?\nAnswer: 10153365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7651, -7638, -7617, -7588, -7551, -7506, -7453?\nAnswer: -7392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 56*k**2 - 277*k + 9. Let b be g(5). Solve 27*l + b = -111 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16348*g = 16356*g - 21008. Are 2623 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -2*a**4\/9 - 7142*a**3\/9 - 14278*a**2\/9 - 7138*a\/9 = 0.\nAnswer: -3569, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 12*q**3 + 13*q**2 - 11*q - 2. Let d be 0 + 2*123\/2. Suppose -5*a + d = 13. Calculate the remainder when a is divided by n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5249.132 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - -59.\nAnswer: 58.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 5*d + 62 + 13, 4*d = -4*c + 84. Suppose 0 = -13*j + 3*j + c. Differentiate 15 + 16 - 38*p**j + 0 wrt p.\nAnswer: -76*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 + 10*j + 35. Give b(18).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*t = 55*t - 4*c + 220, 4*c = -8. Calculate the remainder when 11170 is divided by t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 7, p: 6}. What is prob of sequence hpph?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/7*(0 + 14\/4). Solve 2*s = -x - 13, -2*s - y*x - 4 = -4*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(75\/(-80))*37\/(1036\/(-112)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 0*o + 4 = 4*l, 4*o - 8 = -2*l. Solve 0 = -3*c + o - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uupussussu. Give prob of sequence susp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18 - 29. Let f = z - -17. Suppose 19 + f = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 24 + 0.0649398308032.\nAnswer: 24.0649398308032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -51 - -57. Solve 0 = -2*t - d - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 3*u + u + 24, 5*m = -5*u - 25. Is 17 a factor of 15 + m\/2*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -199, -334, -469, -604?\n\"Answer: -135*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 3, -2*h = 3*v + 1 - 6. Let a be 3*((-21)\/(-14))\/1. Which is bigger: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**2 + 24*m - 41. Let r be x(5). Suppose -2*o = r*u - 37 - 5, 3*o = u - 21. Which is the third smallest value? (a) 3 (b) u (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2606, -2589, -2570, -2549?\n\"Answer: r**2 + 14*r - 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o**4\/7 - 18*o**3\/7 + 54*o**2\/7 - 62*o\/7 + 24\/7 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 15) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 291376 + 291108 - 2*l - 582484.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 - 2*s**2 - 2. Let d(t) = t**3 - t**2 - 2. Suppose 0 = x + 3*c - 1, 10 = x - 5*c + 25. Let u = x + 1. Determine u*d(b) + 3*g(b).\nAnswer: -b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -122541054 (base 6) to base 14.\nAnswer: -45c41c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2104, 4184, 6264, 8344, 10424, 12504?\nAnswer: 14584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3090115282 to the power of 1\/3, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 376554, 753104, 1129654, 1506204?\nAnswer: 1882754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 448033 or 448009?\nAnswer: 448033","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -595*p**3 - 3*p**2 - 3*p. Let m(q) = 594*q**3 + 4*q**2 + 4*q. What is -4*k(s) - 3*m(s)?\nAnswer: 598*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 807 = -826. Solve -3*d + a = -5*u - 3, 0 = -4*d + 4*u + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) 1 (b) 0.4 (c) -2\/13 (d) -3269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p - 5*p - 21*p + 65*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of -c**4\/4 + c**3 - 2*c - 5. Let g be a(3). Let j(r) = r**2 + r - 2. Let v be j(g). Sort -4, v, 4.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/8 and -23\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 786563 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33562*24.56.\nAnswer: 824282.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:10 AM and 11:07 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3008*p**4 + 16*p**3 + p**2 - 21*p + 9414 wrt p?\nAnswer: 72192*p + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:03 AM and 3:42 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + l + 6 = 0, l + 3 = -3*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -3*c**3 + 2*c**2 - 2*c - 17. Let y(d) = -80*d**3 + 55*d**2 - 55*d - 460. What is -55*m(h) + 2*y(h)?\nAnswer: 5*h**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 24799201 or 24799207?\nAnswer: 24799201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14\/626*291\/(-10185). Put -4, j, 4 in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*t - 21. Let s be -2*(2\/4 - -2). Let f(o) = -o**2 - 6*o + 7. Let k be f(s). What is the highest common factor of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g + 4. Give f(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, g: 2, h: 1, a: 1, c: 1, o: 1}. Give prob of picking 1 g and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 239956 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 254.697852 * -0.1\nAnswer: -25.4697852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 664 divide 29057968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*m**2*v**3 - 37*m**2 - 143*v**5 - 4*v wrt v?\nAnswer: 12*m**2*v - 2860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0*((0 - 1) + 2). Solve f - 2*f - 5 = m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/14 and 59\/8426670?\nAnswer: 8426670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9135)\/(-6300) + 4\/5. Factor -7\/4*v**3 + w*v**4 + 7\/4*v - 11\/4*v**2 + 1\/2.\nAnswer: (v - 1)**2*(v + 1)*(9*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*c - 40 - 58 - 32*c + 12*c + 6*c.\nAnswer: -2*c - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(605)*-2 + 1 + 0 + sqrt(605))**2*-1.\nAnswer: -609 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 153 (base 12) in base 13?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -147 and 0.15378.\nAnswer: -146.84622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 c when three letters picked without replacement from {l: 3, y: 3, o: 1, p: 1, i: 5, c: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1977020 and 32800?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*o**3 - 24*o**3 + 8*o**3 + 93*o**3 - 18*o**3 - 20*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 4*f - 36 = 0, 3*w = 4*w - 2*f. Let t(u) = -8*u**3 + 6*u**2 - 10*u. Let x(j) = 17*j**3 - 13*j**2 + 21*j. What is w*x(z) - 13*t(z)?\nAnswer: 2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -d**3\/6 + 1607*d - 8. Let r(n) = 28*n**2 - 20*n. Let z(j) = j. Let f(c) = 2*r(c) + 40*z(c). Determine f(k(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 20640555 divided by -24141\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 57104434*d**4 + 58098333*d**2.\nAnswer: 1370506416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 91*h**3*x**2 + h**3 + 7*h**2 + h*x**2 wrt h.\nAnswer: 546*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 20\/2*(-2)\/(-5). Solve 2*i = 3*u - u - w, 0 = i + 4*u - 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 560392 is divided by 280150?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 - 7*x**2 + x + 42. Let c be j(5). Let u = 0.3 - 0.5. Sort c, u, -2 in descending order.\nAnswer: u, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17661377 is divided by 353.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 109112 by -2372.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 114140011224?\nAnswer: -114140011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1113713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, 4, 2, 0, 5, 56 in increasing order.\nAnswer: -5, -4, 0, 2, 4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (57\/(-684))\/(1 - (-4)\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 69256 + -30101. Is 63 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 59\/14 - 9\/2. Let k = 2\/107 + -117\/535. Is k bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1316333713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 4*s**2 - 8*s**3 + 2*s + 6*s**3 - 3*s**2 + 5*s**2 as u + w*s**3 + y*s + k*s**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 536162 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -337900*b - 1013692. Give o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 3062.204 centuries to decades.\nAnswer: 30622.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6.1 and 147680.39?\nAnswer: 147686.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 3 = -2*i + 9, -5*o + 6 = -2*i. Let f = 5 - i. What is the remainder when 19 is divided by ((-14)\/f)\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 75295, 152076, 230341, 310090, 391323?\n\"Answer: 742*b**2 + 74555*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kg when two letters picked without replacement from ggkgggkgggkgggg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 4*q**4 + 7662516*q**3 - 15325060*q**2 - 22987572*q = 0. What is q?\nAnswer: -1915631, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29962 and 868265?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least -29\/226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -5*d - 1. Let g be f(-1). Solve 0 = 3*b - p + 10 - 24, -g*p + 8 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 2 + 2. Suppose 6*x = 10*x - r. What is the least common multiple of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 290965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(1900) - (3 + sqrt(1900)))**2 - sqrt(19)).\nAnswer: -sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.9 - 80.1. Let i = -115 - v. Let h = -32.88 - i. Sort h, 1, -1\/3 in descending order.\nAnswer: 1, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 318 = -56*t - 242 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 98*l**2. Let c(a) = -138*a + 371. Give c(i(n)).\nAnswer: -13524*n**2 + 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -4*a**2. Let i(n) = -120*n + 6. Let y(z) = -10*z + 1. Let k(q) = -i(q) + 8*y(q). What is d(k(u))?\nAnswer: -6400*u**2 - 640*u - 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, s: 1}. Give prob of sequence hhsh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (((-2)\/(-2))\/(3\/2))\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of -x**3\/6 - 3*x**2 + 13*x. Let o be b(-6). Suppose 0 = 3*q + 4*f - 66, 4*q + f = -o*f + 88. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 5*n - 121586, -5*y - 8*n = -7*n - 151993. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the third derivative of 0*d - 83\/24*d**4 + 49\/6*d**3 - 9*d**2 + 0. Differentiate o(b) with respect to b.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 2*m - 3*m - 3*m + 6*m**3. Let l(k) = -7*k**3 + 5*k. Calculate -5*h(j) - 4*l(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2278235\/12 + -189847. Suppose -12 = -2*i - 0. Calculate the common denominator of 2\/i*58\/(-6) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 5*h + 3. Let m be p(-2). Let i = 180 + -161. Let a(y) = -y + 15. Let s be a(i). Put m, s, -2, 4 in ascending order.\nAnswer: s, m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -13*v. Suppose -h - 6 = -4*h. Let m(n) = -3*n**2 + 0*n**h + 0*n**2. Determine y(m(p)).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*t + 290*t + 208 + 106*t.\nAnswer: 318*t + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 274371359 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-65)\/(-2) - -7*3\/(-84). Let s = p - 32. What is the closest to 1 in -3, -2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.485 + -0.085. Let q = 46\/5 + -148\/15. Let v = -0.2 - 1.8. Which is the third smallest value? (a) v (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 2*i - 546 = 0. Let s = i + -61. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 325.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001576 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4466 and 7106.\nAnswer: 1442518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 239127794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 2*z + 23 + 17, 2*z = -4*a + 48. Suppose a*d - 6*d = 3*r + 64, -5*d + 4*r = -62. Calculate the smallest common multiple of 20 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000605477 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -61 - -61. Let m(q) be the first derivative of -q**2 + q + 4. Let l be m(s). Which is smaller: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 5*w + 298 - 4850, -3*k - 904 = -w. List the prime factors of w.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2572438957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 178765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 6:42 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 4:24 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*m + m - 96. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1359919469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -429 + 599. What are the prime factors of h?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 4:36 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -303 (base 8) to base 5.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -3 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5 + 1*sqrt(162)*4)**2 + -5.\nAnswer: -360*sqrt(2) + 2616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 8 = 13. Let f(l) = -2*l**2 + l. Let j be f(i). Which is the second smallest value? (a) -5 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.25, 2\/7, 8?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 58 and 1603111030?\nAnswer: 1603110972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 - -25. Suppose -56 = -z - r*z. Find the second derivative of 0*u + 5*u**3 - u - z*u**3 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18078 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 11 = 5*q + 8, 5*j = -4*q + 32. Suppose j*n = 308510 + 227490. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6*i - 5*v - 10 = 0, -2*i - 4*v = 14. Suppose -3*j = -6 - i. Calculate the smallest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -849 + -0.2701.\nAnswer: -849.2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 321 - 318. Let g(h) = h**y + 5*h**2 + 1189*h - 2381*h + 6 + 1188*h. Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3906400 by 195320.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -954*s - 871 = -85*s + 34758 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209) - sqrt(209))*1 + sqrt(209))\/(-2*sqrt(891) - sqrt(891)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -122*k + 130*k = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 63\/(-24)*2 + 4. Are a and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40388128.\nAnswer: 2, 11, 179, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xoxxxxxxooxxoxxoxxx. What is prob of picking 2 x and 1 o?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1032358?\nAnswer: 2, 516179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -1\/38552?\nAnswer: -1\/38552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that o**4\/3 + 8*o**3\/3 - 2977*o**2 + 26722*o\/3 - 17800\/3 = 0.\nAnswer: -100, 1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2*u = -141, -u - 36 = -o + 2*u. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 861 (b) -4 (c) 276.8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23.1 - 23. Suppose 3*i = i. Which is the closest to 1\/2? (a) -5 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*q**3)*(4*q**2 + 22*q**2 + 13*q**2 + 5*q**2).\nAnswer: -88*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 61541 divided by -7551?\nAnswer: -61541\/7551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 1 + 1)*(-3*p**2 - 4*p**2 + 4*p**2) - 61*p + 31*p + 38*p**2 + 30*p to o + h*p + n*p**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -6*w**4\/13 + 2092*w**3\/13 + 33168*w**2\/13 + 116736*w\/13 - 7168 = 0.\nAnswer: -8, 2\/3, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10713 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h**2 - 6*h - 17. Determine d(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11\/459 - -2897\/5967. Which is the closest to 0? (a) h (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - b + 2*l = -528, -5*b = -l - 657. Let u = b + -91. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*i + 177 + 6*i + 180 - 357.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 315 by -1.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28 + 106. Let l = d - 43. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 + -9*(-2)\/3. Find the third derivative of -21*m**3 - m**2 + 24*m**3 + 0*m**2 - m**h wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 119809 - 61836. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 23*s + 1810. What is the hundreds digit of y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8454 + 737 + 2473 - 6233)*(3 - 2*h - 3).\nAnswer: 22954*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -l**4 - 5105418*l**3 - 17436099*l**2 wrt l?\nAnswer: -24*l - 30632508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 151 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(240))\/(sqrt(363)*-4 - sqrt(3) - sqrt(3))*5.\nAnswer: -30*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/314 and 53\/942.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2812433 is divided by 415?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 69415.\nAnswer: 277660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -60, -62, -64, -66, -68, -70?\n\"Answer: -2*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1309 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 6, -13, 2\/11 in descending order.\nAnswer: 6, 2\/11, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 + 5. Let c be j(0). Suppose -25 = -b - 6*o + 2*o, 25 = b - c*o. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-12 + 26 - 10)*(4 - 4 + 4) - 2 - 3 + 4)*(i**3 + 2 - 2).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 1*3*((sqrt(72) - 1*(1*sqrt(72) + sqrt(72)))\/(2*sqrt(81)))**2.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 5*y - 8 = 0, 362*j + 5*y = 360*j + 14. Solve 25 = -3*n + 22, -5*r - j*n = -13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - 920756.\nAnswer: -920756.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -150 (base 7) to base 12\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/191255 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 1037043 - -1.1.\nAnswer: 1037044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.113 - -231.887. Let l = 219.9 - b. What is l rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 91, -914, -148 in decreasing order.\nAnswer: 91, -148, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that i**4 + 13845*i**3 - 792307*i**2 + 1487679*i + 2293830 = 0.\nAnswer: -13902, -1, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 8 + -3 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from laaynnm. Give prob of sequence ay.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 384\/24*(-6489)\/1648\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/(k\/k**(3\/2)))**(10\/7)\/(k\/k**(3\/11)*k\/k**(-2\/65)) assuming k is positive.\nAnswer: k**(9076\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -46506701 + 0?\nAnswer: -46506701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 348.1 - 356. Let s = 29 + -21. Let f = s + c. Does f = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 697*h + 70808 = -813*h + 7388 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43753, -87523, -131281, -175021, -218737, -262423, -306073?\nAnswer: -349681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - ((0 - 8) + 10 + 8 + 30)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 707870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/360)\/(6\/(-15))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/3)\/(17\/510). Find the second derivative of n*s + 3*s - 680*s**4 + 658*s**4 wrt s.\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-2*(sqrt(72) - (1*sqrt(72))**2) - (0 + (sqrt(72)*-2)**2)).\nAnswer: 12*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27 - 23. Let q(o) = o**3 - 4*o**2 - o + 4. Let m be q(j). Solve m = -2*d + 5*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 PM and 3:01 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 2*i**3 + 48*i**2 + 290*i. Let s(v) = 4*v**3 + 96*v**2 + 581*v. Let j(h) = -5*k(h) + 2*s(h). What is t in j(t) = 0?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -18 (b) -2 (c) -5 (d) 0.1 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 277802867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-59)\/(-3) - 2\/(-6). Suppose b = -4*d + 4. Let p = 6 + d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 4*p**3 - 10*p**2 - 5*p - 6. Let l(t) = 7*t**3 - 20*t**2 - 9*t - 11. Give 11*g(q) - 6*l(q).\nAnswer: 2*q**3 + 10*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 3*j - 12, -4 = 5*j + 16. Suppose a = -x - 0*x - 5. Let m be 0 + x + 0\/(-3). Which is smaller: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -535*p = -461*p + 1554 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2)\/(560\/(-766)) + 4\/(-14) and 11\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-60)\/14 + 8\/28. Let d = -13 - b. Let x = d - -9. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 2*c**2 + 57*c + 16. Calculate j(-29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the second derivative of 5*j**4\/24 + 36*j**2 - 2*j - 100. Let m(q) be the first derivative of y(q). Let n(w) = -32*w**2. Determine n(m(z)).\nAnswer: -800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c = c - 4*w + 37, 2*w + 4 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - v = v + 10, 4*s + 5*v = -23. Let c be 4\/s + 4 + -3. Let l(n) = n. Determine l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1834 + -231. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + y**3 + 0)*(-8 + 4 - 4) - 5*y**2 + 5*y**2 - 5*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 15\/2194 and -12\/73?\nAnswer: 160162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, 51, 103, 163, 225?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r + 991 = 53*r + 187. What is the nearest to -2.3 in r, 2, -4, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 345, 14, -30 in decreasing order.\nAnswer: 345, 14, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 25740888377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 644 and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in o - 10*o + 11*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/24)\/((-1)\/(3\/(-9)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - 16. Suppose m*o + 9 = -5*j - 1, j + 4*o = -2. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 21056 by 329.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 212 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (3*1\/(-4))\/(34\/17*(-45)\/2)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19.85 + -19.85. Let m = 0 - -0.2. Let i = m - -0.8. Put i, 0.2, k in descending order.\nAnswer: i, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 - 22*c**2 - 114*c + 41. Determine k(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/18*-3*(-6)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 645, 1507, 2357, 3189, 3997, 4775?\n\"Answer: -d**3 + 869*d - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 9.1. What is the nearest to 1\/4 in -6\/7, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.80926 * 5325.\nAnswer: -4309.3095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttdzqq. What is prob of sequence zt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 251 - 226. Suppose -27*j + f*j + 1078 = 0. Is 49 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 8 = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 62028 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 = m - 3*i - 1677, -4*m - i = -6208. Suppose -m = -0*b + b + 3*f, 0 = b + f + 1557. Is 15 a factor of b\/(-28) + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -2*i + 5*l, 0*i + 6 = i - l. Let b = i + 1. Suppose -r + 4*r = k + 2700012, b*k + r = -8099996. Round k to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(13\/2)*q*q**(-5) assuming q is positive.\nAnswer: q**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 1\/5 (c) -1\/2 (d) 3\/164 (e) -1\/3 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -816*d**2*p + d**2 - d*p + 22*d - 5056 wrt p?\nAnswer: -816*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 27840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 76.18580037 - 76.2328. Let i = 0.86 + -0.907. Let c = i - n. What is c rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 96726 and 471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4686723 litres to millilitres.\nAnswer: 468.6723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 115307?\nAnswer: 67, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -3*j**2 + 37*j - 30. Let r be d(24). Let f = -505 - r. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 219 - 155. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jce when three letters picked without replacement from jccjejjcjjjee?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1956676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h - 1. Let f be (-3)\/2*1*-2. Let a be c(f). Suppose -a*l = -3*l + 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1191.8 + -11.8. Let y = -1182 + k. Let g = -1 - -5. What is the nearest to y in g, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m - 1725 + 1683 = 0. Let v be ((-15)\/m)\/(75\/36). Sort v, -4, -2.2 in increasing order.\nAnswer: -4, -2.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (3 - 2)) + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -580*x - 89*x - 248*x - 40*x - 269*x to r*x + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.79999975 - 0.8. What is l rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-2*sqrt(500)*5)**2 + (sqrt(20) - (sqrt(720) + sqrt(720)*-4))\/sqrt(4) + -4.\nAnswer: 19*sqrt(5) + 799996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4420600 to the power of 1\/2, to the nearest integer?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2736, 2737, 2738, 2739, 2740, 2741?\n\"Answer: p + 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 33, -7.2, -313?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 139530*g + 418649. What is p(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ozrk when four letters picked without replacement from zzkkkkcrkrzokkzrmrmk.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 500 and 758.\nAnswer: 189500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-9))\/((j\/(j\/(j**(-7)\/j))*j)\/j))**19\/((j*j**(1\/12)*j*j)\/((j\/(j\/(j*j**(-4))))\/j)*j**(-5)\/(j*j**5)) assuming j is positive.\nAnswer: j**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2462*d - 14297 = -2577*d + 4546*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 + 1. Let c(p) be the first derivative of -p**6\/120 + p**5\/20 + p**3\/3 - 3*p**2\/2 + 6. Let z(j) be the second derivative of c(j). What is z(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2515 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lrl when three letters picked without replacement from lllallrllllq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) -3\/2 (c) 6\/7 (d) 297\/5 (e) 2\/9 (f) -1 (g) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -280.96 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 7*o**2\/2 + 5*o + 3. Let v(b) = 10*b + 7. Let f be ((-68)\/6)\/(((-28)\/72)\/7). Let y be f\/24 + (-6)\/4. Give y*k(s) - 5*v(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 223040089 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -18? (a) 3 (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/3)\/(20*38\/(-6840))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of -w**6\/3 - 2*w**5\/5 + w**4 + 4*w**3\/3 - w**2 - 2*w - 12. Factor o(r).\nAnswer: -2*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h - 4. Let j be s(4). Let m = 2\/225 + 16\/75. Is m <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 106? (a) -0.1 (b) 2\/17 (c) 1024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3\/7, -0.5, -69, 0.13?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 52, 132, 356, 796, 1524?\n\"Answer: 12*l**3 - 4*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 6.26283 * -0.1\nAnswer: -0.626283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/792260 and -59\/105?\nAnswer: 2376780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -2087*x + 6073. Calculate b(3).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -3*g + 1. Let r be w(13). Let n = r - -38. Sort -19, n, 2.\nAnswer: -19, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4804 times -0.1?\nAnswer: -480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -25731080 by 643277.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 q when three letters picked without replacement from {b: 2, q: 1, e: 2, p: 2, t: 1, y: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -5\/2, -1, -24, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 30 and 6545586.\nAnswer: 196367580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-3\/10)*r*(r**(-15)\/r)\/r)\/(r**(-2\/19)*r*r*r)**(1\/25))**(-1\/42) assuming r is positive.\nAnswer: r**(3119\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**3 + 1110*u**2 + 129504*u + 4574592.\nAnswer: 3*(u + 66)*(u + 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000181 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -13*p - 5. Let d(g) = -3*g - 1. Let f = 823 - 827. Calculate f*h(k) + 18*d(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 4*x, -p + 2*p + 6 = -5*x. Let u(l) = -2*l + l + p*l. Determine u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*m**3 + 0 + 0 + 18*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*u**2 - 3484197 - 37*u**3 + 107*u**3 + 3484197 to the form c*u**2 + v + y*u**3 + r*u and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -610 divided by -518.\nAnswer: 305\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 41*x - 154 + 8 + 23. Sort -2, -3, 41, -5, x.\nAnswer: -5, -3, -2, x, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 5. Let x(c) = 22*c - 4. Let v be x(g). What is the common denominator of -101\/4 and 6 - (v\/(-12))\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/80*((2 + -4)*3 - -3). Let t(b) be the first derivative of 0*b - s*b**4 + 20 + 0*b**2 - b**3. Find p such that t(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (13\/((-39)\/18) + 1431\/243)*-3. Let m(b) be the first derivative of 0*b + l*b**3 + 3\/2*b**2 + 23. Factor m(f).\nAnswer: f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.487 + -2.487. What is the second biggest value in 17, -5\/3, -0.5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f + 3*j = 4*j + 18 + 32, -3*j = -2*f - 6*j + 20 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -56431 + -3?\nAnswer: -56434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.48 (c) 19 (d) -0.16 (e) 2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19495*j - 46242*j - 13691*j.\nAnswer: -79428*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 - (0 - 0 - 17). Suppose -5*p + q = 0, 4*p - 46 = -g + p. Suppose 3 + g = u. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 71*r - 21. Let q(j) = -57*j + 21. Let u(o) = -4*h(o) - 5*q(o). Let k(x) = -10*x. What is k(u(m))?\nAnswer: -10*m + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -2318115*a + 2318117*a - 6 - 2. Let p(i) = -2*i + 7. What is 3*j(k) + 4*p(k)?\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2769\/(-426)*(-58)\/13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 0 = 25. Let q = a + 24. Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 3*b**3 - 9*b**2 + 31*b. Let f be y(9). Suppose -16*l + f + 2695 = 0. What are the prime factors of l?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q + 8. Let x be g(6). Suppose 38 = 3*u + x. Calculate the highest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 915.4524 years in decades?\nAnswer: 91.54524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -165581, -165584, -165587, -165590?\n\"Answer: -3*s - 165578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(7) + -3 + sqrt(7) + 2.\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -31\/55?\nAnswer: -31\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 73a + -a55?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, e: 3, g: 3, m: 6, w: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1070a782 - 0?\nAnswer: 1070a782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.2 - -2.7. Let m = -1.2 + j. Let z = m + -2.70000057. What is z rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1105836802.\nAnswer: 2, 7, 1612007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-103)\/(-4) - (12 + 14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14512 (base 11) to base 5.\nAnswer: 1124313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 170\/765*18\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 23*w**2 - w. Let y(s) be the third derivative of s**5\/60 - 30*s**2. Give o(y(u)).\nAnswer: 23*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*v + 4*v + 2*v**2 - 10*v - 38*v**5 - 6 wrt v.\nAnswer: -760*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 8*d - d**2 + 3*d**2 + 4*d**2 + 9. Suppose -36*i + 13 = 193. Does 36 divide a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-3 + sqrt(243)))**2 + (sqrt(15) - sqrt(135)\/(4*sqrt(9)))\/sqrt(5) + 0.\nAnswer: -861*sqrt(3)\/4 + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4727158291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 8577658207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m + 6. Let a(j) be the first derivative of -2*j**3\/3 - 4*j + 4950. Calculate y(a(q)).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, a: 2, c: 7, i: 1}. What is prob of sequence ee?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*v + 107 = -53. Let l(g) = 13*g**2 + 19*g + 128. What is the tens digit of l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 20 = -5. What is the third derivative of -b**4 + 2*b**4 - 3*b**4 + d*b**2 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2 + 1 = 3*f, -5*f + q - 3 = 0. Let p be f\/(-2)*-2*4. Let n be 1\/(-4) - p\/16. Solve n = -v + 3 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*y + 78 = -5*y. Calculate the highest common divisor of 108 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 236*x + 22348. Give h(-96).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*k, -2*a + 4*k - 30 + 2 = 0. Let q = -50 - -84. Let u = a + q. What is the lowest common multiple of 6 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -326818\/15 + 21788. Factor -2\/15*q**2 + 4\/15*q + l*q**4 - 4\/15*q**3 + 0.\nAnswer: 2*q*(q - 2)*(q - 1)*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 30*x**2 + 29*x + 27. Let o be p(-29). Suppose -22*m + 1935 = -o*m. Let v = m - -622. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19 - -13. Let v(p) = -p - 4. Let f be v(s). Suppose 3*u = b - 7, -7 - 3 = -f*u. What is the greatest common factor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 344\/(-4386)*340\/(-480).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from curckhrf. Give prob of picking 1 f and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 6\/15067 (c) 4.14 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 4. Which is the closest to 0.1? (a) s (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 - (-3 + 2))*-2. Let j be (1 - (s + 0)) + 1. List the prime factors of (-364)\/(-18) - j\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18.06 + -0.06. Let o = 15 - t. Let u = 5.2 + -5. Which is the smallest value? (a) u (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -350 - 466 = -12*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 - 9*h**2 - 7*h + 1. Determine u(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58 - 405\/7. Let v = -0.051 + 2.051. Which is the second biggest value? (a) r (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12.777420318 rounded to 4 dps?\nAnswer: -12.7774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(9\/3) - (-25)\/(-35). Factor -2\/7*o**2 + i*o + 0.\nAnswer: -2*o*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -9. Suppose -8 = 3*t - 26. Solve -i = 3*c + t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 10 + -5 - 1\/(-1). Let c(o) = -o**3 + 6*o**2 + 2*o. Let l be c(p). Is (388\/l + -1)*(-3)\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -13587117147 and -8.819.\nAnswer: -13587117155.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 305*t + 5884. Determine m(-19).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1 (b) -3 (c) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 4*i + 5. Suppose 0*k = p + 4*k - 15, -10 = -5*k. Let o be s(p). Suppose 5*j = 2*j + o. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 13 - -7c8?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 28, -0.2, -58 in descending order.\nAnswer: 28, 2\/5, -0.2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -x**4 + 126*x - 851 wrt x?\nAnswer: -4*x**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 16 = 4*n, -s - 3 = -4*n + 5. Which is smaller: n or 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -667, -1337, -2009, -2683?\nAnswer: -3359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 747*y - 180686. Determine u(242).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -57 + 61. Let n be ((-34)\/10 + r)*-2. Let f = 1.2 + -1. What is the second biggest value in -2, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 728 and 280.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2500 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(5))**2*3 + sqrt(5))*2 + (0 + sqrt(80) + -2)**2.\nAnswer: -14*sqrt(5) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 385 and ((-525)\/700)\/((-1)\/40).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 12*p - 9*p + 25*p - 23 = 0, -3*p = -3 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -288 and -0.2.\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((g + 2 - 2)*(-7*g + 7*g + 8*g) + 0*g**2 + 2*g**2 - g**2 + (2 - 2 - 2)*(-1 + 1 + 2*g**2) + 4 - 4 - g**2 + 2*g**2 - 4*g**2 + 4*g**2)*(g - 8*g - 5*g).\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -32*p - 13. Give g(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -131 + 421. Suppose 7*z - x = 2*z. Suppose -4*g + 2*m + z = 0, -3*m + 3 = -6. Calculate the highest common factor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -665012 (base 7) to base 15.\nAnswer: -249d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 53 + -60. Let y(o) = 2*o + 19. Let q be y(p). Solve -3*k + 9 = -4*f - 8*k, 0 = -5*f - q*k - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 not equal to 9\/6985585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j + 11. Let l(u) = u**3 - 9*u**2 + 6*u. Let g be l(8). Let b = g - -8. Let h be y(b). Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 31 = 5*h. Let w = 73 + h. Suppose -n = -w - 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3295027441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5402582.\nAnswer: 2, 331, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 6857?\nAnswer: 1\/6857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264441?\nAnswer: 3, 181, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 85 (base 16) in base 5?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -0.1 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1135 and 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**2*q*z**2 + 4517*b**2*q*z - 171*b**2*z**2 + 19*b**2 + 36*b*q*z - 6953*z**2 wrt z?\nAnswer: -4*b**2*q - 342*b**2 - 13906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a + 2*a + 11*a)*(0*a**2 + 3*a**2 - 5*a**2 + (2*a - 2 + 2)*(-a + 0*a + 0*a)).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 153450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 256 - 20*g + 26*g**2 - 34*g**3 - 6*g**3 - 257.\nAnswer: -40*g**3 + 26*g**2 - 20*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175648 is divided by 56694?\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of -27*t**7\/140 + 93*t**6\/10 - 1183*t**5\/120 - 215*t**4\/12 - 9*t**3 - 39*t**2 - 12*t. Determine p, given that u(p) = 0.\nAnswer: -2\/9, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1070 - 877. Solve -w*d = -189*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61489254 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.808 and 8.1465349?\nAnswer: 7.3385349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**3 + 9*c**2 + 14*c + 2. Let n be q(-7). Suppose 0 = n*i + 6*i - 80. Suppose 18 = -i*l + 11*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5542300 and 4875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12012 - 1202011102?\nAnswer: -1201222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 315*f = -2746 - 1362 - 1247 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -v + 19. Let t = v - 22. Solve 0 = 5*b - t - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1040039 and 5369?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 48759447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -43 + 63. Let l = k + -17. Suppose 3*b + l*r - 240 = 0, 0 = 3*b - 3*r - 262 + 16. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 + m**2 - m - 1. Let s(g) = -4*g**3 - g**2 + 2*g - 1. Let y(t) = -5*n(t) - s(t). Suppose 5*o = -4*p - 36, 3*o = 2*o - 2*p - 12. Calculate y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 10:47 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-19854)\/(-12) + 3 + (-25)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-4)*(-50)\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81876 = -5*g + 4*c, 0 = -503*g + 498*g - c + 81856. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 3014 + 3602 = 0. What are the prime factors of n?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*m = -12. Suppose -5 = -m*b - v + 5, -b + 5*v - 2 = 0. Let p(s) = -2*s - 4*s**2 - b - 2*s**2 + 5*s**2 + 7*s. What is p(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 145, 307, 469, 631, 793, 955?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1141145857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 23. Let z = n - -4. Let k(r) = r**3 - 48*r**2 + 39*r + 2442. Let s be k(46). Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39006.\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1811 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1707528674 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.7, -3\/11, 25, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 1.73967?\nAnswer: -3.47934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.181 + 10.119. Let z = -9.9688 - 0.0312. Let x = z + k. Which is the second smallest value? (a) 2\/9 (b) x (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 884417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*h + 23592 = 6888. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x - 1. Let u(d) = 108 + 600*d + 602*d - 1914*d + 640*d. What is 108*k(s) + u(s)?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 342*s - 6277 = -101*s + 4798. What is the remainder when 616 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44)\/((3*sqrt(4)*4 - sqrt(4)) + sqrt(4)) + (sqrt(132)\/(-1*sqrt(4)))\/sqrt(3))**2.\nAnswer: 1331\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3 - 10*x**2 + 23*x - 14.\nAnswer: (x - 7)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -4*w - 113, j + 54 = -4*w + 207. What is the remainder when j is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**2 + 8*z + 8. Let k be s(-8). Let n = 12 - k. Suppose -y = n*y. Solve 4 = -y*m + 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71429008423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 8*t - 10 - 35 + 0*t + 18. Is m(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*u + 19*u + 324 = 0. Suppose 10 = -u*j + 59*j. What is the greatest common divisor of j and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -772090 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 0.2, 1\/8, 165, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u - 1. Let n be p(4). Suppose 5*f = 2*k + 79, 5*f - n*f - 22 = 4*k. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -2*c. Let d be c*(2 + -4 + 3). Suppose -s = -q + 4, 4*s + s = 2*q - 8. Solve -2 = -f - s, -4*b - 5*f + 26 = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186 is divided by 71.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -31*h. Suppose -49*t - 2556 = 103 + 526. Let d(w) = -340*w. Calculate t*g(o) + 6*d(o).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**2 + 280*t + 2451. Let z be v(-9). Suppose 0*h + 18 = 3*h. Suppose 2 + h = c. Solve c + z = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -422 less than -2568958111?\nAnswer: -2568957689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2007469479 rounded to four decimal places?\nAnswer: 0.2007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -101487 divided by 3?\nAnswer: -33829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 325, 642, 947, 1234, 1497?\n\"Answer: -v**3 + 324*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1407392 divided by -5768?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8544051 is divided by 334?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 164*x**2 - 1. Let r be l(1). Suppose 3*v + 28 = r. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 - -7. Let g = -32 + 72. Let r = g + -39. What is the third biggest value in 2\/3, p, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1480205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -85615 times 3.99\nAnswer: -341603.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 242.2 + -242. Which is the closest to t? (a) 2 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4 - -8) + (-2)\/(3 + -1). Let j(s) = -s**3 + 11*s**2 + 7*s + 23. Let c be j(y). Let w = c + 51. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23530124593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 18 + 6. Let f(z) be the third derivative of 1\/6*z**3 - 13*z**2 - 1\/60*z**5 + 0*z + 0 - 1\/8*z**4. Calculate f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 7157*c + 3400*c + 3327*c to w + f*c and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 2 - 1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3676715261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -23, 4, 4724?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9149*t**3 + 103*t**2 - 22*t + 2 wrt t.\nAnswer: 54894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -s + 2*g, -40*s + 37*s - g - 11 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 153 and 8262.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 20 = -5*k, 0 = -11*l + 6*l + 3*k - 22. Let f(b) = b**2 + 8*b. Give f(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.17 (b) 0.3 (c) -13 (d) 3\/7 (e) -4\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.447 + -12.537. Let x = 12.6 + y. Let l = x + -0.50999894. Round l to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4*sqrt(343)*1 + -4)**2.\nAnswer: -168*sqrt(7) + 5497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 - 75 = 4*u. Suppose u*b - b - 28780 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -8*k**2. Let b(u) = 9*u**2. Let n(t) = 4*b(t) + 5*r(t). Let d(w) = -1977*w - 30*w**2 + 1977*w + 11*w**2. Calculate d(n(j)).\nAnswer: -304*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of -l**5\/60 - l**3\/6 - 4*l**2. Let o(c) = -6. Let v(i) = -o(i) + 3*s(i). Suppose v(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2 + 1. Let s be h(2). Is (s - 4) + (113 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 392 - (-2 + 4 + 0). Let w = s + -211. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5*d**2*h**2 + 225940*d*h**2 + h**2 + 1244275*h wrt d.\nAnswer: -10*d*h**2 + 225940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2*f - 2)*(-2*f + f + 4*f**3 + f**3).\nAnswer: -10*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28\/(-147))\/((-4)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -29*z + 27*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (229 - 579 + 211)*(4*p**2 - 2*p**2 - 3*p**2 + (-2 + 1 + 2)*(-p**2 + 0*p + 0*p)) to the form z*p**2 + o + j*p and give z.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 330, 592, 844, 1080, 1294?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 5. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13511331*o**3 - 1029*o**2 - o - 926.\nAnswer: 81067986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2 - 212*i**5 - 955*i**5 - 492*i**2 + 492*i**2 + 0 - 739*i wrt i?\nAnswer: -23340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*f**4 - 898*f**3*r**2 + 402*f*r**2 - 3*f*r + 2 wrt f.\nAnswer: 84*f**2 - 5388*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1914681 - 2*r + 12*r**2 - 1914681.\nAnswer: 12*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 3*p + 21, -5*b + p + 5 = 4*p. Let q(m) = -3*m. Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 38 = 62. Let y = m + -14. Find the third derivative of 11*f**6 - 27*f**6 + 15*f**y + 13*f**2 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 55227*b**3*q*r**2 - b**3*q + 2*b**2*q*r + b**2*r**2 + 113*b**2*r - 41*r wrt r?\nAnswer: 110454*b**3*q + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*b = 2*z + 14*b + 15, -b = z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19651\/193 + 509\/5. Let i = 68299\/11580 - p. Find the common denominator of i and (-2)\/10*5\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -19 + 36 - 20 + 9*b**2 in the form c + s*b**2 + w*b and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of -3*p**2 + 23*p - 31. Find the first derivative of b(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(((-2)\/(-15))\/(19\/(456\/(-16)))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -18 + -2 + (-107 - -116)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -22359703*i. Let j(n) = -2*n**2. Calculate y(j(h)).\nAnswer: 44719406*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 111886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -2, -2133188, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 837186770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 105\/34 and -93\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 103 = -98. What is the second biggest value in -2\/3, -0.085, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 2, e: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 4:19 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(2\/7)\/f)**(-2\/9)*f**(3\/7)*f**(-1))**(17\/2) assuming f is positive.\nAnswer: f**(-340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1179794671 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1\/2, -3\/5, -2, 5\/36?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 + 4*b**2 - 5*b. Let r be z(-5). Let h = r + 3. Suppose 4*a = -h*g + 83, 2*g + 2*g - 104 = -2*a. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-47 - ((0 - 13) + -1 - -3)) + -14.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 56*d**2*k - 153156051*d**2 - 159697*k**3 with respect to k.\nAnswer: 56*d**2 - 479091*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + -44)*(-8)\/16. What are the prime factors of 142\/4 + 33\/u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 - 5*y**2 - 4*y - 1. Let p be s(-4). Let r be ((-318)\/(-18))\/(p\/(-3)). Suppose r*g - 9 = 56*g. Sort g, 5, -2\/3 in ascending order.\nAnswer: g, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 327, 332, 339, 348, 359, 372?\n\"Answer: s**2 + 2*s + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (33 + -33)*1\/(-2). Put 4, -9, -1, a in decreasing order.\nAnswer: 4, a, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-31)\/22 - 71\/781)\/((-45)\/4). Put k, -1599, 5 in decreasing order.\nAnswer: 5, k, -1599","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 - -12. Solve 0 = -3*a + 2*b - 2, -a - b + 5*b + 16 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 12) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/(f\/(f**(-13\/2)*f))*f))\/f*f)\/f*f*f**(-31))\/(f\/(f*f**(-1\/8))*(f**(-20)\/f)\/f) assuming f is positive.\nAnswer: f**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -76*n**3 + 75*n**2 + 11*n + 11. Let t(g) = 15*g**3 - 15*g**2 - 2*g - 2. Let f(d) = 11*t(d) + 2*y(d). Find the third derivative of f(w) wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3865, 2\/29, 0.2, -33, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-12))\/((-1)\/(-1))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 8*s**3 - 7*s**2 + s - 7. Let p(m) = -m**3 + m**2 + 1. Let c = 24 - 10. What is c*p(z) + 2*h(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.5, 5\/4, 5 in increasing order.\nAnswer: -0.4, 0.5, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 494766.2 litres?\nAnswer: 494766200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((20\/(-50))\/(28\/100))\/(60\/4200).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4 = -3. Let t = 1177\/10 + -117. Let y = t - -1\/20. Does y = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18945 is divided by 351.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 51772 divided by -7?\nAnswer: -7396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 100988075689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = 4*l - 27 + 5, 0 = 3*l - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9587.206 centimeters in nanometers?\nAnswer: 95872060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 448504, 448508, 448512, 448516, 448520, 448524?\nAnswer: 448528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15 - 59\/4. Let o(l) be the second derivative of -1\/6*l**3 - 1\/20*l**5 - x*l**4 + 0 - 1\/2*l**2 - l. Determine o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16\/49 + 2\/49. Let h = -4.5 + 4. Let r = 0 + h. Which is the third biggest value? (a) n (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 18*s**2 + 23*s - 39. Let g(p) = 11*p + 204. Let x be g(-17). Suppose 0 = -2*l + 41 + 3. Calculate the remainder when w(x) is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-140)\/40)\/7*24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of t**5\/110 - t**3\/11 + 2*t**2\/11 + 2*t + 8. Let z(c) be the first derivative of l(c). Factor z(n).\nAnswer: 2*(n - 1)**2*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -992700 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -372, -689, -1030, -1395, -1784, -2197?\nAnswer: -2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 55 and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 11, -2, 2\/7, -112?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1)*t)**(2\/45)*(t*(t\/(t\/(t\/((t**(2\/7)\/t)\/t)))*t)\/t)\/t*t*t\/(t*t**7))\/((t*t*t**0)\/t**(1\/6)*(t\/t**(1\/2))**(-2\/97)) assuming t is positive.\nAnswer: t**(-20813\/4074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 920410574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -174 + 252 - ((-1 - 4) + 10)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 8:27 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 2*r**2 - 2*r - 1. Let f be h(2). Suppose 0 = -2*u - t + 9 - 4, 4*t + 13 = f*u. What is y in 6\/5*y**2 + 0 + 6\/5*y**u + 2\/5*y + 2\/5*y**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 8*u = 3*u - 20, 3*n - 8 = 4*u. Solve -3*x - 2*m + 10 = 0, 2*m = -72*x + 70*x + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 346781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**1)**(4\/9)*(f*f*(f**(-3\/10)\/f)\/f*f)\/f*f\/(f*f**13) assuming f is positive.\nAnswer: f**(-359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/11)*o*o*o**(-6)*o)\/(o**(-1\/3))**28 assuming o is positive.\nAnswer: o**(203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 22045687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -3, -61, 5, -1 in decreasing order.\nAnswer: 5, 1\/2, -1, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -351 + 2415?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 0 - 57\/(-152))*12. Let r = -619\/22 + i. Find c such that 2\/11*c**3 - r + 4\/11*c**2 - 2\/11*c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w**3 - 16*w**2 + 4*w - 58. Let z(n) = 4*n**3 - 35*n**2 + 9*n - 110. Give -9*k(j) + 4*z(j).\nAnswer: -2*j**3 + 4*j**2 + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 74773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5738 = -158*w + 14112 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -415, -419, -423?\n\"Answer: -4*k - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -4*h + m, -3 - 12 = 3*m. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -201 + 200.9999821. Round p to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 + -1*21755)\/((-1)\/(-240)). What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -50*k**2 - 40*k**2 + 91*k**2 - k to p*k + x*k**2 + l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, d: 2, g: 2}. Give prob of sequence dd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 5. Suppose -5*b + o = -28, 3*b = 4*o + 10 + 17. Suppose -h + 6*w = 4*w + 4, 20 = -b*h + 2*w. Put j, h, 2 in decreasing order.\nAnswer: 2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 220 a factor of 53883655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be (78\/4)\/((-2)\/(-4)). Let b(t) = -t - 2. Let m be b(5). Let n = m + 20. Calculate the highest common divisor of k and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 - 16.9. Let o = -0.5 + 4.5. Let p = -1.9 + 2. What is the closest to j in 3, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 1 + 17 = -3*h, -3*h - 18 = 4*q. Let x(z) = z + 7. Let g be x(h). Let j(a) = -3 - g + a - 2*a. Determine j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 2 - (-163 + 173).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r - 48. Let q(m) = 1514*m**2 + 5. Calculate q(u(o)).\nAnswer: 1514*o**2 - 145344*o + 3488261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/(-2))\/(15\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(1\/4)*y)**31)**(-3\/8)*y\/y**(-2)*y\/y**(-2\/29)*(y**0)**(14\/13) assuming y is positive.\nAnswer: y**(-20497\/928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**3 - 3*h**2 + 180*h - 324.\nAnswer: -3*(h - 6)*(h - 2)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 10111?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, t: 1, x: 2, u: 1}. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r when three letters picked without replacement from uuruuuuuuurruuuuur?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 15 = 0, -3*r + r + 11 = 3*f. Let k(v) = v**3 - 14*v**2 + 13*v + 15. Let y = -36 + 138. What is the remainder when y is divided by k(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.19 + -0.29. Let x be 5 - 1*(-76)\/(-16). Which is the nearest to x? (a) 0.08 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*c + 54771 = 0, -8*c + 9*c = 3*y - 164333. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 25316, 101228, 227738, 404846?\n\"Answer: 25299*o**2 + 15*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 0)\/(-1) - -16. Solve -6*w - 11 = -w - 2*t, -g = 2*w - 5*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 321947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and (-3 + (-2472)\/16)*4\/(-2)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p + 7. Suppose j = -3*r - 25, 0*r - 23 = 5*r - 3*j. Determine l(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 432, 408, 364, 294, 192, 52?\n\"Answer: -p**3 - 4*p**2 - 5*p + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 49\/3 in increasing order.\nAnswer: -4, 3, 49\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -16.059 and 2961.\nAnswer: -47550.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of -y**7\/1050 - 2*y**6\/225 - y**5\/50 + 26*y**3\/3 + 20*y**2 - 2*y. Let s(o) be the first derivative of a(o). Factor s(h).\nAnswer: -4*h*(h + 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -526*s**2 + 4135*s**2 + 5385*s**2.\nAnswer: 8994*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*j - 22500000. Round j to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 3*a - 33 = 0, -3*m + 0*m = 2*a - 121. Let h(u) = 3*u**2 + 5*u - 11. Let c be h(-5). Calculate the greatest common factor of c and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 3*y + 30 = 0. Suppose -y = 51*o - 53*o. Factor 1\/2*i**2 + 3\/4*i**o + 1\/4*i**4 + 0 + 0*i.\nAnswer: i**2*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -59 - 49. Calculate the remainder when 106 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, u: 12, c: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of 14*o**3\/3 - o**2 + 2*o + 1. Suppose p + 3 = g, -7 = -2*p - 4*g + 17. What is the tens digit of q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 29\/3, 7, -4 in ascending order.\nAnswer: -4, 0.3, 7, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*h + 2 + 110. Suppose 5*u - 6 = -1. Sort u, -5, h in ascending order.\nAnswer: -5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 - 8*g + 29. Let c = -76 - -131. What is the remainder when c is divided by u(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 22 - 6 = 0. What is the remainder when (-51)\/(-136)*(-4392)\/(-27) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 - -47. Suppose -41*u - 240 = -568. What is the smallest common multiple of u and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 3*i + 19, 3*i - 3*y + 13 = 2*i. Let h = i + 10. Suppose -7*v = -h*v + 36. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9 + -b0d?\nAnswer: -b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1244 + 1365. Sort 5, b, -0.3 in descending order.\nAnswer: b, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 - 21 = 5*i. Is i <= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**3)**(-20)*d**(-2\/15)\/d*d**(3\/8) assuming d is positive.\nAnswer: d**(-7291\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 6. Let r be 2\/(-4)*8\/2. Let m = r - t. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(320) - (sqrt(320) + -1 + sqrt(320))) + sqrt(320) + 2 + (1 + 1 + sqrt(320) - sqrt(320))*1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32.32 + -33. Let r = -11.8 + 11. Let f = r - c. Round f to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that d**3\/7 + 1921*d**2 - 15375*d + 201825\/7 = 0.\nAnswer: -13455, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1450 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/(a*a*a**(4\/3))*a**(-19)*a**(-7\/6)*a\/a**(-7) assuming a is positive.\nAnswer: a**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 8*d. Let x(q) = 17 - 6*q - q + 2*q. Let m(r) = r - 3. Let y(h) = 34*m(h) + 6*x(h). Calculate o(y(n)).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 69*g**3 + 7*g**2 - 7*g - 7. Let x(r) = 35*r**3 + 3*r**2 - 4*r - 3. Let h(v) = 3*i(v) - 7*x(v). Find the second derivative of h(c) wrt c.\nAnswer: -228*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the second derivative of -a**4\/6 + a**3\/6 + 3*a**2\/2 - 2*a - 3. Let r(p) = p**2 - 1. What is -g(b) - 4*r(b)?\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1891527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 154 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 657 and 44658.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -23.48 + 22.88. What is the biggest value in 56, h, -3, -0.3?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202 a factor of 1933948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -70, -112, -154, -190, -214, -220?\n\"Answer: i**3 - 6*i**2 - 31*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 288 and 32796?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 440 (base 12) in base 6?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n + 5*n + 4*q + 14 = 0, 5*n + 5*q - 5 = 0. Let 0*g - 5\/2*g**4 + g**n + 0 + 3\/2*g**3 = 0. Calculate g.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, 3\/5, 11, -1, 2\/11 in ascending order.\nAnswer: -1, -3\/4, 2\/11, 3\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from yyoyqoyyo?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/73248 and -113\/3400800?\nAnswer: 23805600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**2 + g + 1. Let l be w(3). Let f(r) = -2*r + 16. Let c be f(4). Suppose 5*n = -3*z + c*z - 20, 2*n - 3*z = -10. Put l, 3, n in descending order.\nAnswer: 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 3*w**2. Let p(u) = u**2. Let h(q) = -c(q) + 5*p(q). Let k(a) = -a - 6. Let j be k(-8). Let v(m) = m**2 + m**2 + 0*m**j. What is h(v(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -20*b**2 + 39 + 8 + 18*b**2 as g*b**2 + s + z*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2123 - -2392. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001397951 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 17 - -3 - (-300 - -289)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (34 - (88 + -35)) + 41\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 - j**2 + 3*j**2)*(-6*j - 12*j - 10*j) - 3*j - j - 36*j**3 + 34*j**3.\nAnswer: -86*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**4 + 7*c**3 + 9*c**2 - 7*c - 8.\nAnswer: -(c - 8)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q, 1 z, and 1 x when four letters picked without replacement from {y: 5, x: 1, z: 6, q: 5}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.042312 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -316*a + 3718 - 558 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 6*i**2 + 5*i. Let j = 74 + -75. Let p be u(j). Suppose -t + 1 = -3. Solve 3*x - t = 4*g, 2*x = -x - g - p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -246 - -94. Let n = -140 - t. Solve -4*v = -v + n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47514 = -101*d + 95*d. Suppose 20*l - 19*l = d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 10*s - 157. Let t be l(16). What is the third derivative of 54 - 4*v**t + 15*v**3 + 4*v + 6*v**4 - 54 + 15*v**2 wrt v?\nAnswer: 144*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-14728)\/140)\/(-1*(-2)\/(-120)). Is r\/2 + (-6)\/(-12)*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f = 4*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3523*d**6 - 4178*d**4 + 46247*d**2 - 4*d wrt d?\nAnswer: -422760*d**3 - 100272*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*l = -174 + 249. Suppose -l*t + g + 4*g = -64644, -4*g + 107777 = 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -5 + 1. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09051795 rounded to 4 dps?\nAnswer: -0.0905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1.4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35067758?\nAnswer: 2, 11, 31, 51419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 + 7*u + 6. Let l be x(-6). Suppose -z + 3*z - 2*s - 80 = l, -2*s + 25 = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*g)*(-5 - 5*g + 5) + 25*g**2 - 22*g**2 + 118*g**2.\nAnswer: 131*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -856 - -518. Let j = l - -629. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -86 (base 10) to base 13\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*f**2 + 125242532*f - 1406118417 wrt f.\nAnswer: 6*f + 125242532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 2*o = -8, -3*k + 5 = -k - o. Let y be 9*(k + (-2)\/(-6)). Let b = 11 - 6. Solve 0 = b*i - 4*q - 1, -q = 3*i + 2*q + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*p + 26*p - 11*p - 7*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 9*d + 14. Solve -d*q = -5*n + 3*q - 40, -2*n + 9 = 3*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 146229877 to the nearest integer?\nAnswer: 12093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 424954 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(-14) - 1\/((-10)\/5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 4119*b + 1025. Let d(o) = -2061*o - 511. Let w(j) = 5*d(j) + 2*k(j). What is the derivative of w(m) wrt m?\nAnswer: -2067","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 18\/103 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 2*c + 2*c)*(5*c**2 + 5*c**2 - c**2).\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p + 0*p - p = 0. Put -5, p, 618 in ascending order.\nAnswer: -5, p, 618","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7293 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -418*h**6 + 1063*h**2?\nAnswer: -50160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1 + 2 - 1207*s**3.\nAnswer: -1207*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 495 is divided by 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q - 6 + q**3 - 4*q**2 - q - q + 6*q**2 as k*q**2 + n*q**3 + s + h*q and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 370 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: Is 322 a factor of 2991675596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h + 17. Let b be q(-10). Let o = b - -10. Let d(t) = 4*t + 47. Calculate the remainder when d(9) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 4*i = -12. What is the greatest common divisor of 28 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -3*k**2 - 9*k - 7. Let u(i) = 6*i**2 - 24*i - 4. Let q be u(4). Give m(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l + 1. Let t(c) = 6*c + 5. Let x(a) = -5*k(a) + t(a). Let y(p) = 22*p. Calculate y(x(m)).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -6. Let i = -1 - v. Solve d + 1 = -i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -10*s - 178. Let n be l(-18). Solve m = n*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, 98, 3, 2, -4, -1 in ascending order.\nAnswer: -4, -1, 0, 2, 3, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 18485*v**2 - 1756180*v + 9975.\nAnswer: 5*(v - 95)*(3697*v - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 55692550?\nAnswer: 1\/11138510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 143 - 45. Suppose 0 = -2*b + g - 84. What is the greatest common divisor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 + 5 - 8) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r + 8, -4*i - 3*r + 387 = -i. Suppose -5*n + 17 + 118 = 5*c, i = 5*c + 4*n. Solve -5*f + 15 = 4*s, 0 = 5*f - 4*s + 2 + c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is d + -b1?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/15? (a) 2 (b) 0.195 (c) 3\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 3*k. Suppose -39*n + 12820 = -245. Suppose -6*a + a + n = k. List the prime factors of a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 339867 and -120750.\nAnswer: 219117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be 24\/(-42) + 6460\/(-357). Is 2\/5 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1069 - -1512. Suppose 0 = 16*t - n - 1995. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*z = 1 + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.041? (a) -43 (b) -0.3 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20403083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15339862921\/1035 + 14821121. Let t = w - 1\/207. Let z = -16461\/4 - -4137. Find the common denominator of z and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 15 = 0, -3*b + k = -3*k - 303. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -4*o**3 + 79*o**2 + 23*o - 30. Give r(20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 13 = 4. Let u(c) be the first derivative of 0*c**4 + 1\/5*c**5 + 0*c + 0*c**s - 1 - c**2. Find the second derivative of u(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59891908 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from tojqjtsoz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/((-1 + 2)\/(17\/(-51))).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*l + 2, 2*o = -2*l + 10. Calculate the least common multiple of 48 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + -2. Let t = b + 4. Let k(r) = -r**3 - 5*r**2 + r - 5. Let z(f) = f**3 + 8*f**2 - 2*f + 8. Determine t*z(p) + 8*k(p).\nAnswer: -3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*x**3 + 4*x**2 - 9*x - 3893 with respect to x.\nAnswer: -42*x**2 + 8*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + -4 + (0 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12.1 - -12.099998506. Round u to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -4.3. Let q = -0.2 + o. Let n = 353\/272 + -13\/272. Which is the closest to -2? (a) q (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 3*d + t, -d + 19*t - 59 = 55 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 105512455 (base 6) to base 2.\nAnswer: 111011100111110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -210 (base 6) to base 8\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 58*x + 93 = -35*x. Is -32\/167 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3721.7 - -3722. What is the closest to j in -1\/2, -10\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3024 (base 7) to base 11\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5055 + 19951 = 522*t + 1340*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 37582148.4+3\nAnswer: 37582151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3)*-1 + 3 + (sqrt(300)*-2)**2 + -2.\nAnswer: -sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5085 - 45817\/9. Calculate the common denominator of -23\/11 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(180)*-2 + -1 + sqrt(40)\/sqrt(8) + -5 + ((3*sqrt(2880) - sqrt(2880)) + sqrt(2880))\/(sqrt(196) + -2*sqrt(196)).\nAnswer: -113*sqrt(5)\/7 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 0.0302019819?\nAnswer: -0.0302019819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dx when two letters picked without replacement from xqqqqdqexeexqqqd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (-2 - 4) - (1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 + 43*u - 1. Let m(t) = 3*t**2 + 141*t - 1128. Let z(o) = -m(o) + 6*v(o). Factor z(g).\nAnswer: 3*(g + 17)*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7\/((-210)\/(-100)))\/((-2)\/(-3)). Solve -g = 5*c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 3019 = 4381. Which is greater: v or 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -326707*h**4 - 52*h**3 - 26420352 wrt h?\nAnswer: -1306828*h**3 - 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 11110000111000 (base 2) to base 5\nAnswer: 443131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/7, -1, 1, 0.8, -6.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from {v: 9, h: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 995*q**4 + 1030*q**4 - 2 - 744*q**4 + (-3*q**2 + q**2 + q**2)*(-2*q**2 + 6*q**2 - 3*q**2) in the form c*q**2 + g*q + u + v*q**3 + p*q**4 and give p.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 5*p + 4 = 0. Let z(u) = -5*u**2 - 5*u + 8. Let w(b) = -10*b**2 - 10*b + 15. Let n(c) = p*w(c) + 5*z(c). Factor n(y).\nAnswer: -5*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140 - 138 + 2*j**2 + 278.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**3 - 3*f**3 - 6*f**3)*(-8421*f + 285*f**2 - 1 + 51*f**2 + 8421*f).\nAnswer: -2688*f**5 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2324, -9222, -20696, -36746, -57372, -82574?\n\"Answer: -2288*m**2 - 34*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4\/7 - 39*y**3\/7 - 526*y**2\/7 - 1236*y\/7 + 1800\/7.\nAnswer: (y - 50)*(y - 1)*(y + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*g**2*k*s**4 - 7*g**2*s - g*k**3*s - 4*k**3*s**3 - 3*k**2*s + k wrt s?\nAnswer: -24*g**2*k*s**2 - 24*k**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wnonkewnnknnnen. What is prob of picking 1 k and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**3 + 0*k**3 + k**3 + (2 + k - 2)*(-4*k**2 - 3*k**2 + 6*k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129*r + 124*r = -40. Let h(n) be the second derivative of -n**3\/6 + 7*n**2\/2 - n. Let a be h(r). What is the nearest to a in -0.3, 2\/31, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 133 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (15\/25)\/(27\/(-180))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, m: 2, j: 4, r: 3}. What is prob of sequence ja?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -7*u + 168. Suppose 4*f + u = 2*r, -r - 41 = -4*r + f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1 - -0.2. Let x = -180 + 178.86. Let r = -0.14 - x. Which is the nearest to r? (a) 12 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 39405653830.7 - -0.8.\nAnswer: 39405653831.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 + 8*u**2 - 2*u - 8. Let n = 1 + -8. Is 23 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/5)*w*w**11)\/(w**(-2)\/w*w*w*w*w\/(w\/(w\/(w*w\/w**(-1\/2)*w)))) assuming w is positive.\nAnswer: w**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -189, -850, -2649, -6156, -11941, -20574?\n\"Answer: -95*c**3 + c**2 + c - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -972 - -977. Let n(x) = x**2 - 5*x - 12. Determine n(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, n: 12}. Give prob of picking 1 k and 3 n.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -141 - -3?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -20010012 (base 3) to base 5.\nAnswer: -120320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13.042*-11.\nAnswer: 143.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**2\/3 + 1903*r\/3 - 1900.\nAnswer: -(r - 1900)*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 2:11 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, -7, -98, -3, -49, -5 in decreasing order.\nAnswer: 5, 2, -3, -5, -7, -49, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69792539352*k - 69792539357*k + 32 - 32.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/689 and 50\/91?\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of -2*n**2 + 2*n**3 + 17\/12*n**4 - 1\/105*n**7 + 0*n + 42 + 1\/20*n**6 + 1\/2*n**5. What is c in u(c) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -9*u**3 + 2*u**2 - 6. Let l be n(-2). Suppose 67*r = l*r - 32207. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llevjeelijeeevjae. What is prob of picking 1 a, 1 v, and 1 l?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 - 5*p - 6. Let o(t) = 2*t + 0*t**3 - 1 - t**3 + 1. Let n be o(2). Calculate z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:05 AM and 6:26 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of g**6\/60 - g**5\/30 - g**4\/24 + g**3\/3 - 2*g**2. Let u be y(6). Suppose 0*i + 4*i - u = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 1 - 1)*(-q + q - 3*q)*(-11*q + 60*q + 36*q + 5 - 5 - 2*q + (-4*q + 5*q - 2*q)*(3 + 2 - 3)) to the form g*q**2 + w*q + u and give g.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.04 * 94.4\nAnswer: 3.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 48, 83, 42, -75, -268, -537, -882?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 - 13*r - 10. Let j be o(-12). Let v(g) = 3*g**j + 13 + 1847*g - 1836*g - 2*g**2. Give v(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9505 = 2*o - 7*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2120 * 1\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5911\/8 + -740. Let z = -69\/40 - w. Let g = -0.2468 - 0.1532. Which is the nearest to z? (a) g (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -2*a + 4*v, 3*a - v + 0*v = 2. Let y = a + 0. List the prime factors of y - (1 - -1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -9 + (4 - 11 - -19). Let u(a) = a**3 - 3*a**2 - 2*a - 4. What is u(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.47 - -0.07. Let l = 2149 + -2148.8. What is the nearest to -1\/6 in l, 2\/17, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/9)\/(8\/2016*-12).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 43917195 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -6*c. Let k(f) = 2*f. Let n = 14506 + -14498. Suppose a + 6 = 3*a. Determine a*z(b) + n*k(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = h + 4*h + 4*t - 33, -6 = -3*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -4*i + 2 + i + 0*i**2 + 3*i**2 - i. Does 16 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 1 + -6 - (-25 - -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-88)\/(-847) - (-1 - (-9)\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*s**4 - 4*s**4 + 3*s + 59 + 2*s**3 + 2*s**4 - 61 + s**2 as z*s**3 + r*s + d + o*s**2 + h*s**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k**(-1\/4)*k)*k)\/k*k*k**5\/k*k*(k**(2\/7))**(-44))\/((k**(-1)*k)**49*(k\/(k**6\/k*k))\/k**(-4)) assuming k is positive.\nAnswer: k**(-121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 231 - 134. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 0. Let p be 1 - (-2 - s) - -1. Suppose 4*d - p*g + 12 = 43, -g - 37 = -4*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (6\/12)\/(1\/278 - 0) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (30\/(-3))\/(1 - 3). Let f(r) = -5*r + 0*r + 9 - b*r**2 - 4 + 4*r**2. Let m(j) = j**2 + 6*j - 6. Let t = 14 + -20. Determine t*f(q) - 5*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(60)\/(1*sqrt(48)\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 70589602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/80*-84 + 8\/(-20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12012 - -1010?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 461 a factor of 1162399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -137 - 438?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iiu when three letters picked without replacement from iiuiiiiiiiiii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/6 + 38\/6. Let c = 130 - 63. Suppose -m*j = -j + 2*f - 83, -f + c = 4*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - g - 12 = -77, -4*g = 4*p - 100. Let t be (-12)\/45 - 8\/p. Let b = 3 + -2.8. What is the smallest value in t, 3, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 365*22791\nAnswer: 8318715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 10, 862 in decreasing order.\nAnswer: 862, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t**5 - 16*t**4 + 16*t**3 = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (8\/(-24) + -2 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine fifths of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6.175 + -6.23. Let y = r - -7.093. Round y to 1 dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -4. Let h(p) = -21*p - 2. Let k be h(q). Suppose a = -a + k. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 + -9. Which is bigger: r or -3\/14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 38 = -412. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 182\/4 + 1 + 1. Let j = 48 - b. What is the nearest to j in 1, -0.4, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 2*p**2 + 31*p. Calculate the lowest common multiple of h(-16) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 0, 12, -3, -5 in decreasing order.\nAnswer: 12, 9, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1486*d**6 + 168*d**3 + 28793*d**2 + 5*d.\nAnswer: -178320*d**3 + 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 5*s + 10 = 0. Let m(n) = n**2 - 11*n + 15. Let r be m(s). Is r less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p**(11\/7)*p))**(1\/21)\/((p\/((p*p\/(((p\/(p*p**20*p))\/p)\/p))\/p)*p)\/(p**24*p)) assuming p is positive.\nAnswer: p**(6898\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/(-8))\/(1\/(-4)). Let y be (-12)\/5*30\/9. Let m = y + 6. Is m at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 93754?\nAnswer: 2, 46877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 45565075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccbw when four letters picked without replacement from bwdwddwwdwdwcwcwdcw.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -537, -577, -667, -831, -1093?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/5)*(z*z\/(((z\/(z\/z**(-2\/5)))\/z)\/z))\/z)\/((z\/(z**0\/z))\/z*z\/(z*z**(-2\/5))*z) assuming z is positive.\nAnswer: z**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -r**3 - 1471755*r**2 + 44*r - 64695?\nAnswer: -6*r - 2943510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2660459*g - 2027528 with respect to g.\nAnswer: 2660459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 AM and 11:04 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 122*i = -120*i - 6, 2*i - 2 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6695*y**2 + 13737*y**2 - 886*y**2 + 15511*y**2.\nAnswer: 21667*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - -2. Let t = v + -5. Let a = 15 - 8. What is the remainder when a is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 34924802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*p**4 - 3297*p**2 - 5593?\nAnswer: 8*p**3 - 6594*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 46, 98, 160, 232, 314, 406, 508?\n\"Answer: 5*i**2 + 37*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 2*o**3 - 4*o**2 + 3*o - 9. Let x(u) = -u**2 + 6*u + 19. Let s be x(8). Calculate the lowest common multiple of q(s) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2651120, 2651071, 2651022, 2650973, 2650924?\n\"Answer: -49*n + 2651169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -134, -269, -404, -539, -674?\n\"Answer: -135*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 8*v - 93. Let b be w(24). Let z = b + 21. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 776 + 1432 = 293*k - 17*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -3*m - 6, 3*m + 27 = f + 4*f. What is the common denominator of (-2)\/f*(-1551)\/(-220) and -23\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/28296 and -49\/36?\nAnswer: 28296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000055918 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 418116 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 87639560.\nAnswer: 2, 5, 71, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-26))\/1*(-714)\/1428.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 557 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 5*r - 5 = 0, -6 + 4 = 2*h - 4*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 2 = 3*d + 23, 5*d + 35 = -2*n. Suppose 11*o - 6*o = 955. What is the tens digit of (-6 - d)\/(1\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = 3*t - 5*o, 9925 = 5*t - 3*o + 9987 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence szp when three letters picked without replacement from kqzbkksqppkqkkqkbb.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 99*a**2. Let u(h) be the first derivative of 5*h**3\/3 + 1008. What is u(f(b))?\nAnswer: 49005*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, 1.07, -41, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 - 30*p**3 + 48.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 134646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1532070 and 3328290?\nAnswer: 96520410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*u + 451 + 581. Let n = u + -172. Solve 3*b = -4*o - 31, -b - 17 = -n*o + 3*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/(k*k**7)))\/k)**1\/(k\/(k\/(k**(-2\/11)*k)*k)*k*k**(-2\/47)*k) assuming k is positive.\nAnswer: k**(2701\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1613172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 133, 140, 161, 202, 269, 368, 505, 686?\n\"Answer: x**3 + x**2 - 3*x + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*w + 24473 - 24581 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 243 - 126. What is x rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 20861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*q**2 - 15*q**2 + 19*q - 13*q**3 - 20*q - 7*q**2 - 1 + 20*q**2 + q**4 to the form r*q**2 + f*q**3 + v*q**4 + t + b*q and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 718625?\nAnswer: 718620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 11 = 10. Let x(h) = 4*h - 1. What is the units digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -626687402933 - 0.1.\nAnswer: -626687402933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-5)\/5)\/(2\/(-6)). Suppose -2*h - 2*g + 4*g = 8, 12 = h + t*g. Suppose 2*m + 3*f - 106 = h, -103 - 169 = -5*m - 4*f. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkwkwwwkkkwkkwkkkwk. Give prob of picking 4 k.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 1121122044 (base 5) to base 16.\nAnswer: 2674d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 194\/22 + 6\/33. Suppose -3*i = -3*q - a, i + 18 = -5*q + 5*i. Let j be 14\/3 + 4\/q. Calculate the greatest common divisor of j and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12020221200 + -112?\nAnswer: -12020222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9161, 19695, 31605, 44891, 59553, 75591?\nAnswer: 93005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 5*i - 25875 + 26019 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2272*a - 30*a**2 + 25*a**2 + 2272*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3 minus -5080040169?\nAnswer: 5080040172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) 10 (c) 4.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 5:07 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -9 times -19273866?\nAnswer: 173464794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 3) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 5 = 0, -104*p + 15 = 5*q - 99*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 5*u + 4*u = 36187, 3*m - u = 21713. What are the prime factors of m?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 5 + -4 + 13 - (0 + 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z. Let c(y) be the first derivative of -10*y**2 + 2*y - 4134. Determine c(b) + 5*f(b).\nAnswer: -15*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 5 (b) -20 (c) 2650 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -15.2486067 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + 537283621?\nAnswer: 537283616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + q - 3 = w, -4*q + 5*w + 13 = 0. Solve -6 = -2*y + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, 8\/7, -5, -0.25 in decreasing order.\nAnswer: 8\/7, -0.25, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the first derivative of 0*o - 4*o**2 + 4\/3*o**3 - 8. Solve b(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 5*r - 55, -24*t + 5*r + 65 = -19*t. What is the smallest common multiple of t and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + 5*g**2 - 10*g - 11. Let b be u(-6). Suppose 3*x - 9 = -l, 5*l + 5*x - b = 4*l. Solve 5*w + 2*c - 5 = 0, -2*w - l = 2*c - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 10 = -10. Let b = -0.42 + 0.32. Is t < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 80229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hggzglhlfhlqgg. Give prob of sequence flg.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l - 4. Let i be m(4). Suppose 4*y - i = -0*y. Solve 4 = 5*u - y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 11*p - 1476. Suppose -7*y - 1305 = -p. Is (-1)\/(4\/y)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 236654 and 4078019.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 466128158 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: In base 16, what is -b - 11?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 3*v**4 - v**4 - 5*v**5 - 2 + 3*v**4 + 2*v**2. Let c(y) = 6*y**5 - 6*y**4 - 3*y**2 + 3. Let f(g) = -2*c(g) - 3*d(g). Factor f(p).\nAnswer: 3*p**4*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1087, 4111, 9061, 15931, 24715, 35407, 48001?\n\"Answer: -p**3 + 969*p**2 + 124*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -1895382.2677 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1124, 4520, 10190, 18146, 28400, 40964?\nAnswer: 55850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8474 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.7 (b) 1\/8 (c) -533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from araaaaaaaaaaaarraa. Give prob of sequence arrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -9*t**2 + 8*t + 11. Let w(i) be the third derivative of i**5\/12 - i**4\/6 - i**3 - 2*i**2. What is 6*u(x) + 11*w(x)?\nAnswer: x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 + 8*r**2 + 5*r - 5. What is the thousands digit of k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55 = 6*r - 67 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1966*2.2.\nAnswer: 4325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1\/2)\/(-1) - (-570646)\/(-209). Let c = 2730 + w. Calculate the common denominator of -31\/7 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f - f + 0*f)*(-8*f**2 + 1 + 0*f**2 - 3*f**2) + (0*f - 3*f + 2*f)*(0 + 0 - 2*f**2).\nAnswer: -20*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5\/(-28))\/(25\/(-40)). Let h = -1.885 - -1.8. Which is the second biggest value? (a) v (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -114 in 4861, 3\/4, 2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 17, 24, 33, 44?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -i*j*q**2 + 2*i*j*q - i*j - 3*i*q + 18*i + 186*j*q + 7811744*q**2 - 9*q + 2 wrt q?\nAnswer: -2*i*j + 15623488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8271 - 5508. List the prime factors of w.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -967914 by -107546.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 8 + -10 - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 times -2797208.6\nAnswer: -8391625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/12 + o**3\/2 + 31*o**2. What is p(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*m**2 - 293*m + 589*m - 296*m.\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -11*x + 50. Suppose -5*c + 946 = -3*f + 183, -x*c - 2*f + 758 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 566*k**2 - 2070*k**2 + 568*k**2 + 943*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -123728 = -93*k + 19*k. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00350152727 to 6 dps.\nAnswer: -0.003502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 504701182 is divided by 208.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 2.5. Suppose -5*d - 2*d + 2*i = -76, -3*i = -2*d + 12. Which is the second smallest value? (a) d (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4787 divided by 2?\nAnswer: -4787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 144 = 4*k + 44, 0 = -3*k - 6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3 + (-1 - 2)*-1. Suppose 0 = -3*w + 6, x + 3 = -u*w + 2*w. Are 3\/22 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81495 divided by 33?\nAnswer: 27165\/11","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let h = -2661 - -3917. What is the remainder when h\/52 - (-22)\/(-143) is divided by (0 + -2)\/((-1)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 1651.\nAnswer: 2\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10.15 + 6. What is x rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + 3604?\nAnswer: 3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.101 in 63, -3, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -5712 (base 11) to base 15\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/3))**(2\/67)\/(h**(1\/15)*h**(-1\/6)\/h))**(12\/13) assuming h is positive.\nAnswer: h**(334\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1806 is divided by 302?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 22*g = -w - 14, 3 = w - 34*g + 33*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1321*-0.1.\nAnswer: 132.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20677 - -20073.15. Round u to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + i = 27. Is -9 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 6*n - 99. Let y be u(17). Let 9\/2*z - y - 3\/2*z**2 = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 5 (c) 0.6 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -18*l**2 - 3*l + 3. Let g(h) = -h + 1. Let s(p) = -a(p) + 4*g(p). Is s(1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(52)*2.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(2\/13))**(-14))**(-22) assuming b is positive.\nAnswer: b**(4620\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6136 - 6128. Put -18, t, 5 in increasing order.\nAnswer: -18, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -28. Let w = -17.9999888 + m. What is w rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 170*h**4*o + 9089*h*o + 5070949*o wrt h?\nAnswer: 680*h**3*o + 9089*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -7542, -7532, -7522, -7512?\n\"Answer: 10*n - 7552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1.3 (b) 1 (c) 268 (d) 0 (e) 12 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1))**(-3\/7))**8*(r**6\/r*r)\/(r\/(r**(-5)\/r*r))*r**(-2\/9)*r*r**(-7)*r assuming r is positive.\nAnswer: r**(-113\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9015 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 764209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*i + 7 - 169. Let t be ((-28)\/70)\/(i\/(-5)). Which is the nearest to -0.1? (a) -19 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -b - 325*b**3 + b.\nAnswer: -325*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d + 6. Let n be g(-7). What is the units digit of (-1)\/3 + n\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 175*s**2 + 284198*s - 3241. Calculate f(-1624).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -968 divided by -44?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -531*d**2 + 1. Let t(r) be the second derivative of -5*r**3\/3 + 2480*r. Calculate t(k(b)).\nAnswer: 5310*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**2 + i. Let t(l) = 19641*l**2 - 19639*l**2 - 4*l - 1 - 2*l. Determine 5*c(k) + t(k).\nAnswer: -3*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -782b3 (base 14) in base 3?\nAnswer: -112210202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 3 - 15 = 0. Let r be 12\/(-16)*2 + 33\/2. Let y be r\/(30\/8 - 3). Solve m - y = -c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6762, 6776, 6804, 6852, 6926, 7032, 7176?\n\"Answer: p**3 + p**2 + 4*p + 6756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 3*h + 2*h - 329, 4*h = -2*c + 670. What is the tens digit of (-4 + 2)\/((-2037)\/c + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 27*v**2 - 25*v - 165. Calculate h(26).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 11*z**2 + 26*z - 80. What is the units digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*h = 178*h - 88*h + 5*x - 130, 2*h - x + 105 = 4*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2411479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 10*w**2 + 6*w - 3. Let u be c(3). Let o = -13 + u. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 4*d + 3*d - 2)*(172*d**2 + 176*d**2 - 332*d**2) to the form z*d + t*d**3 + p*d**2 + g and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vmlvvvvlvvm. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*y + 1. Let h be (1 + y)\/(-4 - -1). Let s(i) = -3*i**2 + 4*i + 6. Let x(k) = 4*k**2 - 5*k - 6. Let g(b) = 5*s(b) + 4*x(b). What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 333712887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 968*m + 8801. Calculate y(-10).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -2bbc66 (base 15) to base 5.\nAnswer: -1020144141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.103 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 + 6*c**2 - 6*c - 3. Let q be (-1)\/(2\/724) - (36 - 36). Let v = 367 + q. Give j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*g**4*r - 99*g**2*r - 4643*r wrt g.\nAnswer: -28*g**3*r - 198*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/58450 and 111\/8350.\nAnswer: 58450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 10998648013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*f**2*h - 158*f**2 + 8*h wrt h?\nAnswer: 2*f**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-578)\/340)\/(8\/20). Suppose -16*t = -20*t + 8. What is the closest to w in -3\/8, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from jvvjjjjj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, a: 2, i: 6, b: 3, g: 3}. Give prob of sequence igc.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence utt when three letters picked without replacement from utuxtuuutuutuuszl?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from yywwwqyxooyoxpwyxwwp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrrrrrrrryrrrrrrr. What is prob of picking 2 r?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2 + 1. Let u(t) = 5*t**2 - 70. What is -u(d) - 4*w(d)?\nAnswer: -d**2 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2931495, -5862988, -8794481, -11725974, -14657467, -17588960?\nAnswer: -20520453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, s: 1, p: 1, d: 2, v: 1, g: 1}. What is prob of sequence qdgv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/1*(-12)\/(-8). Suppose 2*c + 5 = 3*q - 0*c, z*c = -5*q + 21. Suppose x = 5*x - 12. What is the highest common factor of q and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from {r: 3, c: 3, i: 5, b: 2}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -27*q + 455 - 455 + q**3 to c*q**3 + z + b*q**2 + u*q and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 1 - 6 - (2 + -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 3616200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -67954\/9 + 7551. Let y be 2\/(-10) - (-116)\/180. Let -2\/9 - y*u**2 - b*u - 1\/9*u**3 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 + 27*r + 22. Calculate the remainder when m(27) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -20*o**2 + 740*o + 790. Let l(d) be the first derivative of -d**3 + 53*d**2 + 113*d + 92. Let j(b) = -15*l(b) + 2*z(b). Factor j(h).\nAnswer: 5*(h - 23)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3*o + 55. Let z be x(-7). Let j(n) = n**2 + n - 23. Let a be j(0). Let h = z + a. Solve -5*d - h = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -7 (b) -6226907 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-6*(sqrt(2) + 1) - (sqrt(2) - (-2 + sqrt(8)\/sqrt(4)))) + 1 - (-5 + sqrt(128)*-5))*2)**2.\nAnswer: -544*sqrt(2) + 9264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 + y**2 + y. Let k(f) = 10*f**3 - f**2 + 3*f - 2. Let h(p) = -4*b(p) + 2*k(p). What is the hundreds digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.35051km to centimeters.\nAnswer: 435051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -918, -136, 4, -5 in decreasing order.\nAnswer: 4, -5, -136, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(468)\/(sqrt(18)\/sqrt(2)))\/((2*sqrt(8))\/sqrt(2)))**2*-4*-6*-6.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + -5. Suppose 300 = -16*d + 41*d. What is the smallest common multiple of m and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 41*s**3 - 40*s**2 - 2. Let x(d) = 123*d**3 - 121*d**2 - 7. Let k(u) = 7*v(u) - 2*x(u). What is the third derivative of k(r) wrt r?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*y - 8*y + 2*y + 13*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -865*a - 2586*a - 480732 = 534*a + 1738*a for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((2 - 3)*5)\/((-25)\/30). Suppose 3*p + 322 = 2482. Suppose p = 11*r - y*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8557.93 to the nearest ten.\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -c - 10. Let y(m) = -m - 7 + 9*m + 0*m + 2 + 0*m. Let h(o) = 8*o - 6. Let n(f) = c*h(f) + 6*y(f). Let q(z) = 6*z**2. Give n(q(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39000*q - 333 = 38963*q. Calculate the remainder when -1 + 172 + 0 + -1 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.513278 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 931.6511ml in litres?\nAnswer: 0.9316511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = -q + 3*q + 7, 3*q = -3*n - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 31 = 4*c + 5*l, 20 = -4*l. Suppose -4*r + c = -50. What is the remainder when 38 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 144\/106067 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-16)*c\/(c\/(c\/(c\/(c\/(c\/(c**(2\/101)\/c)))))) assuming c is positive.\nAnswer: c**(-1715\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -405 bigger than -408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*h**3*w*x + 8*h**3*w + 15*h**3*x - 14909*h**2*x - h*w + 11*w wrt h.\nAnswer: -12*w*x + 48*w + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-21)\/9 + (-2)\/3. Let i = 817 - 808. Which is the biggest value? (a) l (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28.77*57.\nAnswer: 1639.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4 - -4)\/(1\/1). Suppose -3*d + b*d - 2*p = -46, -38 = -4*d + 2*p. What is the lowest common multiple of d and ((-5)\/2)\/(5\/(-20))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -2*p - 1260. Let n(a) = 2*a + 1268. Calculate 5*n(w) + 6*u(w).\nAnswer: -2*w - 1220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -57 (c) -2 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -m**3 + m - m + (m**2 - 2*m**2 - 3*m**2)*(-m + 0*m + 3*m) + (0*m**2 - 5*m**2 + 2*m**2)*(-m + m + 4*m) as c*m**2 + n + b*m**3 + k*m and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*q - 34*q - 69*q)*(-4 - 3*q + 4)*(-q**2 - 2 + 2).\nAnswer: -207*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20234 + -11649. Suppose -3*f = 5*a - 5129, t = -43*f + 48*f + a. What are the prime factors of f?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.0103, -16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4 (b) 6 (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 9*r**2 + 3*r - 4. Let j(p) = -11*p**2 - 4*p + 3. Let v(y) = -5*j(y) - 6*k(y). Determine v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1620 * -0.5\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 49750 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286 = -21*z - 244. Solve -z*n - 23 = 5*c, -n + 8 = 4*c + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*w + 4281 + 2115. What is the highest common divisor of 82 and w?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 + -1 + 0 + 3 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2\/5 + 47524*x\/5 - 47526\/5.\nAnswer: 2*(x - 1)*(x + 23763)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 7*z**3 - 7*z**2 - 3*z - 120. Let q(j) = 4*j**3 - 4*j**2 - 2*j - 60. Let p(o) = 5*q(o) - 3*v(o). Is 12 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 88995*w**3*z - 120*w**3 + 78*w**2*z - 87288*w + 2*z wrt z.\nAnswer: 88995*w**3 + 78*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 10) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 + 6*b - 3. Let k be c(-6). Suppose -2*d = -3*d - 5. Let f = k - d. Solve f = 3*j - 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.399313 milligrams to micrograms.\nAnswer: 399.313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*f = 4*f + 27495. Let g = -431 + f. Which is bigger: g or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 AM and 6:01 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 1079 (c) 1\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1285231?\nAnswer: 1285231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -599 times -55\nAnswer: 32945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*x + 1)*(8 + 4 - 2).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from {b: 7, d: 2, r: 11}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(4 + ((sqrt(102) + sqrt(102) + (-6*-2*sqrt(102) - sqrt(102)) - sqrt(102)) + sqrt(102))\/sqrt(6))**2*3.\nAnswer: -43335 - 1560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.26220097576 + -2.2622. What is y rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 2:29 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*b**5*b*b)\/b*b)*b)**(-2\/21)\/((b*b*b**17*b*b)\/b*b**(-10)))**(-39) assuming b is positive.\nAnswer: b**(2574\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((-1720)\/(-60) + 23) - (-1)\/(-3)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 13) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (5 - -1) - (2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-11)\/8*(-138)\/(-3105)*60?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-130)\/(-1833)*-3)\/(-5).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 5*b**3 + 2*b**2 - b - 2. Let g be j(-1). Let u = 8 - g. Let z be -5 - (46\/(-8) + 30\/40). Solve -3*t = -6*t + 2*f - u, -5*f = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 18671.88l to millilitres.\nAnswer: 18671880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 - h - 1. Let f(p) = -p**3 + 27*p**2 + 28*p - 6. Let i be f(28). Let z(b) = -2*b**2 + 6*b + 6. Determine i*d(g) - z(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/13, -1\/16, 120 in decreasing order.\nAnswer: 120, -1\/16, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 381368 (base 15) to base 3\nAnswer: 12001112020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35653?\nAnswer: 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -9020 divided by -10?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 54 and 1290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -7*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -41395841*x**2 - 25016357*x.\nAnswer: -82791682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -32d?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1095562?\nAnswer: 2, 13, 29, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 703 and 558034?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -14.4 - -24878077869\nAnswer: 24878077854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 1 + 15 = 0. Suppose -5*t = 2*t - 35. Suppose -4*k + 2*k - 888 = -i*b, 2*b - 436 = t*k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/s**1*s)**(2\/161)*(s**(2\/3))**(1\/5))\/(s**9\/(s*s\/s**(2\/7)))**(2\/61) assuming s is positive.\nAnswer: s**(-11888\/147315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 + 14*n**2 - 13*n + 32. Let z be p(-15). What is the second derivative of -50*q**z + 432 - 432 + 58*q wrt q?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -69614 greater than or equal to -69616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + -22022121?\nAnswer: -22022123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14, -41, -96, -185, -314, -489, -716?\n\"Answer: -k**3 - 8*k**2 + 4*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/18 + (-40)\/210*(-287)\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/b**(-5)))\/((b*b**(1\/7))\/b))\/(b**(1\/4))**(-2\/117) assuming b is positive.\nAnswer: b**(-8417\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v + 140. Is o(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(204) - sqrt(204)*-1)*1 - -2*sqrt(204)*2))\/(3*(sqrt(600)*5)\/sqrt(2)).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1906)\/(-100065) - (-2938)\/105?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 - 2*q + 7. Let w be k(-5). Let m = w + 16. Let g = m - 2. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the second derivative of z**5\/20 - 3*z**4\/4 + z**3 + 8*z**2 - 949*z. Calculate i(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -260 divided by -136457?\nAnswer: 260\/136457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -6285503, -6285502, -6285501, -6285500, -6285499?\n\"Answer: y - 6285504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5794, -5833, -5872, -5911, -5950?\nAnswer: -5989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) - (6*(sqrt(76) - sqrt(76)*-2) - sqrt(76))) + sqrt(76))\/(sqrt(16)\/(sqrt(20)\/sqrt(5))) - (sqrt(209)*-1*2)\/(-1*sqrt(22)\/sqrt(2)).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**4 + 28*x**3 + 14526*x**2 + 565704*x + 6298560 = 0.\nAnswer: -40, -27, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**1)**(-27\/5)\/(x**(1\/3)*x)**(9\/5) assuming x is positive.\nAnswer: x**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*k - 608 + 40. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 17238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n - 2*n**2 - 4*n)*(-6 + 2 + 3) - 378*n + 15*n**2 + 378*n.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -8*u**2 - 77*u + 102. Let n be f(-11). Put -5, 4, -2, 5, n in descending order.\nAnswer: 5, 4, -2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -96, -402, -912, -1626, -2544?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 22 = -n, q - 30 = -8*n + 3*n. Suppose -4*w - 2*v - 12 = 0, 0 = 4*w - 4*v - 4 - 8. Calculate the smallest common multiple of 6 + w + 7 + -6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 + (-22 - -13) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 692875579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/49968080 and 107\/59961696?\nAnswer: 299808480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 61375*x - 56786 wrt x.\nAnswer: 61375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3668 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(180)\/sqrt(3)*-6 + sqrt(60)))\/(sqrt(36)\/sqrt(3)*4 + sqrt(108)*2 + sqrt(108)).\nAnswer: 10*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2634592 is divided by 191.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 14 = -2*y + 3*y, -6 = 2*x. Let o = y - -2. Does 11 divide (0 - 1)*o*-19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -3*f - 167. Let w be i(-55). Let a be (-7)\/5*24\/28. Do w and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1455*k + 4 - 9 + 1 + 4 in the form p + t*k and give t.\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 16 = 3*p, -4*v = -2*p - 9*v + 13. Solve 0 = p*c + 7 - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121 a factor of 441955041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 44270*b**4 - 2*b**2 + 19*b - 145705482.\nAnswer: 177080*b**3 - 4*b + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-3*6*5 + -5)**2.\nAnswer: 2700*sqrt(13) + 947725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9341874?\nAnswer: 2, 3, 17, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1452541 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 240 + -291. Suppose -13*x - h - 161 = -10*x, 0 = 3*x - 2*h + 155. Do x and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 PM and 11:57 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 10:28 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-1)*(-25)\/15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2*s**2 + 7*s**2 + 6*s**2)*(-4 + 3 + 2) + 9*s**2 - 27*s**2 - 5*s**2)*(-2*s - 38 + 18 + 17) in the form h*s**3 + c*s + m + v*s**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*q**3 + 2 + 6*q**3 - 10*q**3 - 11*q**3 - q**3.\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.17 + 0.26. Let z = v + -7.09. Let k = 4 + z. What is the second biggest value in k, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 895*j - 6090*j = -25975 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11.8 - -11. Let i = -1 - a. Let r = 5.11 - 0.11. What is the third biggest value in i, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*q**5 - 6722*q**2 - 82422*q - 2.\nAnswer: -140*q**3 - 13444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 6, e: 7}. What is prob of picking 3 t?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 6 - 14 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20776, 77744, 170928, 300334, 465968, 667836?\nAnswer: 905944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (-12 - (-2 + -7)) - (19 - 7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 44782.\nAnswer: 223910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1022912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d. Let b be (-3)\/(-5) + (-42)\/(-30). Let m(x) = 3*x**2 + 1 + 1 - b. Determine m(p(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 35\/17558 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 - 3)*(0 - 2*t + 0) + (t - 3*t + 4*t)*(0 + 5 - 4) in the form h + g*t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 395770 to the nearest one thousand.\nAnswer: 396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/3 and (2\/(-7) - (-998)\/14)\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -836 + 861. Which is the second biggest value? (a) 0.3 (b) -4 (c) r (d) -2\/3 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 49*b**3\/4 - 2233*b**2\/4 + 316*b - 45 = 0.\nAnswer: 2\/7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -22*o**5\/7 + 232*o**4 - 7470*o**3\/7 + 10820*o**2\/7 - 3848*o\/7 - 1104\/7 = 0. Calculate o.\nAnswer: -2\/11, 1, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -15, -0.1, -0.3, -920?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9540 is divided by 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 6*g**2 - 3*g + 2. Calculate t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 3:23 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/(-6))\/((-10)\/30). Let c = 5 - t. Suppose -x + c*x + 3*b = 327, b = -x + 67. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 + 3634006?\nAnswer: 3634003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(637)*-1)**2 + (-6*(sqrt(637) + sqrt(637) + 4) + sqrt(637) - sqrt(637))**2.\nAnswer: 4032*sqrt(13) + 89756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 0 + (-1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 1120 = -2*d. Let g = 101 - d. Let r = 80 - g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h + 0*h + 2*h)*(2 + 4 - 4)*(-980 + 4326 + 7854 - 937).\nAnswer: 20526*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h**4 - 35325*h**3 + 7786405*h**2 - 15466815*h + 7715740 = 0. Calculate h.\nAnswer: -7279, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1760)\/(-8800))\/((6\/4)\/((-30)\/184)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00792243107 to 6 decimal places.\nAnswer: -0.007922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -22 - 111?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - 16, -5*c + 66 = 3*v - 2*c. Suppose 10 = -4*d + v. Factor -44*z**2 - d + 48*z**2 + 2*z - 4*z**3 + 2*z.\nAnswer: -4*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86426691 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -8*a**2 - 2505*a + 33536. Give h(-326).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -180 < 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (4\/36)\/((1\/27)\/((-7)\/(-84)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5.51 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 8 = 2*q, q + 27 - 13 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 124 (base 7) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5.01 + -0.01. Let f = -37.88 + -0.12. Let q = -38 - f. What is the closest to q in -3, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -2. Suppose 10 = -m - m + 4*c, t*c - 4 = 2*m. Let d = -5 - -9. Sort m, d, 0 in ascending order.\nAnswer: 0, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 834\/24 + (-3)\/4 - -1. Is d greater than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2220 by 185.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12761140.\nAnswer: 2, 5, 7, 91151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 + d. Let x(c) = -2*c**2 + 4*c + 13. Calculate -6*w(l) + x(l).\nAnswer: 4*l**2 - 2*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39 - 39.004. Let s = -1.996 + v. Let u = -2.000009 - s. Round u to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6d2 + -2c7d?\nAnswer: -258b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2957 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 410*b - 70 = 420*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 388.776 - 389. Let b = x - -0.992. What is b rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/120 and -91\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -555 - -538.86. Let q = 18 - 17.74. Let m = q - g. What is m rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -143 + 1717\/12. Let b(v) be the second derivative of -v + 0*v**3 + 0 + 0*v**2 - t*v**4 + 1\/5*v**5. Calculate b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 4\/81, 17, -1\/2, 1212, 2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 5*a + 190, -3*a = -2*l + 27 + 52. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7198984 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4859081, -3 in increasing order.\nAnswer: -4859081, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from nnziiznz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 8 (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 PM and 10:37 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.136 + 19.364. Let w = 20 - q. Is w != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((-1 + sqrt(832) + 0 + sqrt(832) - sqrt(832)) + sqrt(832) + (sqrt(832)*1 - sqrt(832))*5 - (sqrt(832) + sqrt(832) + 0 + sqrt(832) + 2)*-4))**2.\nAnswer: 2240*sqrt(13) + 163172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 + 5*a + 4. Let o be g(-4). Suppose 8 = -2*v - x + 37, -74 = -5*v - 2*x. Solve o*h = -h - q, 4*h - 4*q = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116*m = 84*m - 512. Put 2, -3\/4, 3, -3, m in increasing order.\nAnswer: m, -3, -3\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12033349*g**4 - 56018809*g wrt g?\nAnswer: 144400188*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.0308 + 1.9692. What is the closest to r in 6, 2\/5, -3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18966 by -3.\nAnswer: 6322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-2\/9)*v**6)\/(v**(1\/2)*v**(4\/3)))**(-42\/11))**(11\/2) assuming v is positive.\nAnswer: v**(-497\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(152) + -2*sqrt(152) + sqrt(152))*1 + sqrt(152))\/(-1*sqrt(32)\/sqrt(4)))**2*4.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 - 5. Suppose -15 = -5*p - n*t, 0 = 4*p - 4*t + 2*t + 10. Suppose q + 4 + p = 5*h, -3*h - 2*q - 8 = 0. Solve h = -2*m + 2, 2*m - 11 = 2*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j - j + j**2 + j**2. What is v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1358 and 303125.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/53928 and 83\/1134?\nAnswer: 485352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -14858300 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 222\/2*1949\/11694 + -1 + -10 + 2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -7*n. Let w(j) = -76*j + 152*j - 77*j. Let t(g) = 6*v(g) - 35*w(g). Let d(q) = -q**2. Give d(t(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -55, -89, -123?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -33 + 57 + (0 - -17) + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 + 6*u**2 + 5*u - 5. Calculate f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/525*-45)\/(354*(-1)\/(-28)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (15\/6)\/(1\/914)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (1 - (-9 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 6*z**2 - 3*z + 3. Let a be s(1). Factor -12*k**3 + a + 2 + 12*k - 4*k**4 + 33*k**2 - 37*k**2.\nAnswer: -4*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1525*w**2*x**2 - 7*w**2*x + 18*w + 1 wrt x.\nAnswer: 3050*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-4)*3040\/152?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(78)\/(sqrt(24)\/sqrt(4)) - ((-3*sqrt(156))\/sqrt(12))**2.\nAnswer: -117 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 5, -0.4, -1 in descending order.\nAnswer: 5, 0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.28392 to three dps.\nAnswer: 0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 - -790?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 + 3*u + 1. Let v be k(3). Let g = -11 + 11. Suppose 12 = -3*q - g*q. Which is the closest to v? (a) 3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 20 = -4*h. Let v(l) = 5*l + 3*l**2 + 5*l**h - 7*l**2 - l - 1. Calculate v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -1. Let w(l) = -10*l - 3. Calculate -2*k(n) + w(n).\nAnswer: -10*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -4 - 1 - 7*h + 1 + 5. What is the remainder when j(-4) is divided by (4\/(8\/30))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/v**(1\/3)*v**(-6)\/v*(v**(-1\/6)\/v)\/(v*(((v\/((v*v*v**(-2\/13)\/v)\/v*v))\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 130482 = -4*q, -65234 = 27*q - 29*q - 5*d. Suppose -173*j - q = -179*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 5 - (12 - -4 - -29).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 2*b - 120*v + 118*v = -1 + 18, 105*b - 6*v = -2*v - 77 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 4*d - 37 = -s, -2*s - d = -29. Let y = s + 53. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2053259 and 3835?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 18 = -3*w. Let m be 8 - w - (-1 + -1). Is 239\/m + (-3)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1023 + 2071 - 2415*i - 1048)*(-i**3 + 3*i**3 - 4*i**3).\nAnswer: 4830*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 337c3750 - 2?\nAnswer: 337c374b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 810 and 141659820.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*c**2 + 861*c + 342.\nAnswer: 3*(c + 57)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/324, -3, -0.1 in descending order.\nAnswer: 1\/324, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 23*t + 164. Let b be p(-7). Suppose m + 5*r = 25, 4*m + r = -b*r + 52. Solve 0 = -z - z - 4*g + m, 2*g = -2*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 + -16. Solve -a = -2*s + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 288468 divided by 4?\nAnswer: 72117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 39817117 to the nearest integer?\nAnswer: 6310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.23 - -5.87. Let c = t + -6. Is -1\/3 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 17. Let b be (-4)\/6*q\/6. Which is bigger: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 154*n + 12. Give c(-2).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 963 is divided by 383.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = 15*x - 8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18927 - -18930. Let f = 1\/116 - 235\/348. Which is the second biggest value? (a) w (b) f (c) -12.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, p: 5, y: 7}. Give prob of picking 2 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of -102*v + 0*v**2 - 33\/8*v**5 + 0*v**3 + 75\/8*v**4 - 1\/28*v**7 + 0 + 13\/20*v**6. Factor m(n).\nAnswer: -3*n**2*(n - 5)**2*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 160548.\nAnswer: 2, 3, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 + 5*l**2 - 4*l + 4. Let i(f) = -f - 1. Let w be i(-5). Let q be o(w). Suppose -h = -q*h + 36. What is the remainder when 35 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*o + 100*r - 101*r + 6, -r + 10 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = -0*s + 5, -4*s = -p + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13996294 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*t + 104*t + 9*w + 98 = 0, w + 14 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, s: 7}. Give prob of sequence jj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6654*f = 8319*f + 7556*f + 2110929 + 772783 for f.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 80*u**2 - 398*u - 175. What is p(5)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 24 = 0, -5596 - 8762 = -3*t - 2*r. List the prime factors of t.\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 67776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -259 - -270.85. Round d to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -7*u. Let s be (-2)\/(-7) + 10\/14. Is s greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o**2 + 2*o - 71. Let x be t(7). Let r(s) = 7*s**2 - 32*s - 88. Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 2058844081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000549088 rounded to 7 decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*h + 17*h - 8*h**2 + (4*h - h - 5*h)*(-2 - 3*h + 2) + 0*h**2 - 2*h**2 + 0*h**2 + (h - 3 + 3)*(15*h + 46 - 46) + 0*h**2 + 3*h**2 - 2*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.05 in 4, 10, -3\/14, 3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z**27\/z)\/(z**47*z) assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 4*s**3 - 636*s**2 - 6*s + 954. Determine a(159).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1\/(3*(-4)\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*x - 792 = 143*x. Let t(o) = o**3 - 5*o**2 - 4*o - 3. Let d be t(6). What is the greatest common factor of x and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27 - -26. Let k = 108.8 - 109. Let j = 0.2 - 0.5. Which is the closest to t? (a) k (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-k - 2*k + 5*k)*(1 - 2 - 1) + 22*k + 1890 - 1890 as m*k + o and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4 - (2 + -66)) + -8. Suppose v*k - 53910 - 2874 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**3 - 8*k**2 + 17*k - 4. Let g(n) = -4*n**3 - 23*n**2 + 51*n - 12. Let x(v) = -2*g(v) + 7*t(v). Determine x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - t = 8, -19*s + 16*s = -5*t + 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (329\/329)\/((3\/12*-4)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 228 + -208. Solve 3*y = -y - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 PM and 5:36 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 404 - 7429*r - 873 + 469. Let h(g) = g**2. Determine z(h(x)).\nAnswer: -7429*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 o, and 2 j when four letters picked without replacement from {x: 2, o: 1, j: 4, b: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 + 13*t**2 - 16*t - 141. Let n be h(10). Suppose -10 = -5*q - 0. List the prime factors of (48 + 3 + n)*(0 + q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93.88923 months in years?\nAnswer: 7.8241025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 890528.\nAnswer: 2, 17, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1e (base 15) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-26)\/3*(-1068)\/8. Suppose 6*b - 413 = -x. What are the prime factors of -2 + b\/(-8)*6?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**2 - 14*b + 41. Let v be x(9). Let y(h) = -h**2 - 5*h - 5. Calculate y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*y + 3*c + 177 = 0, 2*y + 3*c = 133. Let f = y - 129\/2. Let i = -4337\/3 - -1424. Find the common denominator of i and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -51.41 + 57.41. Let a = -5.2 - -5. Let t = 2\/37 + 68\/111. Sort z, -1, a, t in descending order.\nAnswer: z, t, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/32*14*4. Is r at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -391? (a) -3\/8 (b) -18 (c) -5\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 48 in -2, 4123.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 + 26. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.024169 minus -43?\nAnswer: 43.024169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 85 + -94. Let t be (-1886)\/10 - (-4)\/(-10). Does 18 divide -4 + 1 + t\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.5 - -0.5. Let c = q - -2. What is the nearest to -2 in c, 1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and 2682364.\nAnswer: -13411820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 2*t - 21 = 21502*w - 21502*w, -9*w = -7*t - 76 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 3, g: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 4*l = 7 + 5, j = 2*l + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 AM and 3:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of 13*z**7\/210 + z**6\/40 + 47*z**3\/2 + 193*z**2. Differentiate c(o) wrt o.\nAnswer: 52*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 47*o + 3. Give l(5).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 520.63433 - 0.40433. Round r to the nearest integer.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 1369*y + 685. What is the units digit of l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + 5*v - 5*w - 292, -5*v + 3*w = -492. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**0*n)**(-2\/83)*(n*n**(2\/5)\/n)**(-15))\/(n**0\/(n\/n**(-5)*n)*n*n**(2\/3)*n*(n*n*n**1*n*n)\/n) assuming n is positive.\nAnswer: n**(-1423\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**3 - 7*n**2 + 10*n - 2. Let i be a(2). Suppose j + 2*j = 12. Let x = -3 - -3. Solve x = 4*t - i*t + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.82 * 0.656863.\nAnswer: -3.82294266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n and 1 a when four letters picked without replacement from aaaaaaaaaaaaaaaaan?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 442372 divided by 110593.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -39, -127, -255, -417, -607, -819, -1047, -1285?\n\"Answer: k**3 - 26*k**2 - 17*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvssss. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 3*z - 6 = 0, -5*g + 47*z - 42*z = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*-4*(-86)\/8. Let n = m + -38. Suppose a**5 - 10*a**2 + n*a**4 - 6*a**5 - 5*a + 10*a**3 + 184 - 179 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 14 (c) 7 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 AM and 9:16 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3315 - 1667 = 164*q - 718 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of 1\/30*y**5 - 11\/12*y**4 - 5*y**2 + 0*y**3 + 0 + 0*y. Find the second derivative of u(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1\/6, -2\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.0396 (b) -5 (c) -548\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*t**3 - 7*t**3 + 11*t**3 - 9*t**3.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (45\/560*12)\/(207\/(-17940)*13)?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -7, 19, 45, 59, 49, 3, -91, -245?\n\"Answer: -2*t**3 + 12*t**2 + 4*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5542315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -59558 + 59665.049. Let z = -107 + y. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus 403.12?\nAnswer: -403.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-six fifths of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -5*s + 1. Let y(g) = 84*g - 17. Let t(d) = 102*k(d) + 6*y(d). Let o(l) = -l**2 + 2*l**2 - 3*l**2. Calculate o(t(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 233 times 414253?\nAnswer: 96520949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 481997487 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -5.5. Let p = -0.5 + 0.4. Which is the closest to 2\/9? (a) t (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**4 + 5326*j**3 - 5324*j**2.\nAnswer: -2*j**2*(j - 2662)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7308 - 275. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79.02142mm in centimeters?\nAnswer: 7.902142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) 0.05 (c) -2\/165 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 731 - -6?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -3185*l - 1576654. What is o(-495)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 x, and 2 u when four letters picked without replacement from {s: 2, n: 1, x: 1, j: 6, u: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-136)\/22)\/(34*63\/(-11781))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2448) + (sqrt(2448) - (-4 + -2*sqrt(2448)))**2 + 0)*5.\nAnswer: 1500*sqrt(17) + 110240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-16) - 15\/40. Suppose v = -g - d + 4401, -2*d - 9060 = -2*g - 262. What is g rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 14742471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -70957?\nAnswer: 70957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 235932 greater than 1887463\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/9*-15)\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.085, -0.05, 2?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-17)*(-4 - 3 - -5). Sort -0.09, 2, y in ascending order.\nAnswer: -0.09, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 1403*o + 1473. What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 PM and 11:50 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**0)**(-15)\/((j**6*j*j)\/j*(j\/((((j\/j**2*j)\/j)\/j)\/j))\/j))\/((j*j\/j**1)**46*(j\/j**1)**(2\/11)) assuming j is positive.\nAnswer: j**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1 - 6*w + 8*w**3 - 4 + 5 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 0 = -2*n. Let v(l) = -l + 7. Let g be v(4). Suppose -g*a + 8 - 2 = 0. Solve 3*p + 1 = -h, -3*h - 5 = n*p + a*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 456*c + 93. Let j be m(6). Let o = 9438 - j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 461 - 450 - (-1 - (3 + -2 + 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.106, 116, 0.7, -5, 1 in ascending order.\nAnswer: -5, -0.106, 0.7, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be -7*((-240)\/28)\/5. Find the third derivative of q*j**2 - 53*j**2 + 88*j**5 + 135*j**5 wrt j.\nAnswer: 13380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange i**2 - 16 - 27 + 339*i**4 - 596*i**4 + 33*i**4 to the form o + z*i**3 + b*i**4 + y*i**2 + v*i and give b.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46493 divided by -2447.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 85, 84, 83?\n\"Answer: -c + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-7 + -5 + 8) - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 - -615. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*n - 1156 = 34*n. Calculate the highest common divisor of 34 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/219, -1, 2, 0.2 in ascending order.\nAnswer: -1, -2\/219, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 15*f + 6*f**2 - 17*f + 2*f. Let v(g) = 6*g**2. Determine v(z(c)).\nAnswer: 216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -6.9185 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q + 5. Let y be v(0). Let b(j) = 6*j - 11. Let h(o) = -4*o + 7. What is y*b(k) + 8*h(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1530826 > 1530825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 2*w**2 + 146*w + 1564. Calculate the smallest common multiple of 13477 and z(-60).\nAnswer: 53908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -4. Suppose -3*y - s = -4*f + 3, 4*y + f + 18 = 0. Let p = -2359 - -2362. Which is the second smallest value? (a) 0.1 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 + 5*z - 4. Let s(w) = w - 1. Let r(i) = -2*s(i) + y(i). Let f be r(-4). Suppose f = -5*c + 12. Put 0, -3, c in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5265 - 2039. List the prime factors of i.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 35 = r, u + 0*r = -r + 25. Suppose -377 = u*i - 5397. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (108\/8)\/9*2. What is the tens digit of 0 + 37 + x + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 401 + 28?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.101 + -0.199. Which is the fourth biggest value? (a) -0.5 (b) j (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -366.97 - -367. Is v at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2723.235 rounded to zero dps?\nAnswer: -2723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5040 + -3?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -3763, -7621, -11577, -15631, -19783?\n\"Answer: -49*i**2 - 3711*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/(-14))\/(-1) + 588\/343. Solve -m*g = g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, z: 1, v: 1, d: 3}. Give prob of sequence vd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 69844292 and 84?\nAnswer: 209532876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 12:02 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - (-11 + 6)) + 1 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:23 PM and 1:10 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 - 13*w - 21. Let f = -39 - -74. What is the remainder when f is divided by j(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 + -11. Suppose -4*x - 26 = -3*a + x, p*a - 4*x = 26. Solve 5*m - 2*l = -5, a*m - l = -0*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1920 = -53*a + 387*a + 798 - 3554 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o**3 + 5*o**3 - 2*o**3 + (0 + 0 + 2*o)*(-o**2 - 3*o**2 - o**2)*(0 + 2 + 0).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 3*g + 45 = 0, d + 5 = -g - 4. Is -14 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1572942 divided by -42\nAnswer: 37451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 176 divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 35863894 and 22?\nAnswer: 35863894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 125 a factor of 52323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -10*w + 1418. Let u(d) = 6*d - 1. Give -t(m) - 2*u(m).\nAnswer: -2*m - 1416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of (-7683)\/(-3) + (3 - (-23)\/(138\/(-36)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**3 - 6*r**3 + 2*r**3)*(-12 + 2 + 9 - 56*r).\nAnswer: 112*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4415?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4021, 4, 1 in increasing order.\nAnswer: -4021, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-448)\/48*(-3)\/2. Solve 6*c - o = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -i. Let z(m) = i*m - 2*m**3 - m**3 + 0*m - 1. Let p(q) = 12*q**3 + 3. Let s(n) = 2*p(n) + 9*z(n). What is the derivative of s(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2692 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -10*t - 236. Suppose 50*h - 64 = 3*x + 54*h, 4*x + 3*h + 76 = 0. Let n(c) = 2*c + 47. What is x*n(i) - 3*g(i)?\nAnswer: -2*i - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (8 + -11)\/(6\/(-32)) + -4. Solve x*a = 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 613 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 - b7?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/48)\/((-403)\/19344).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 15 = -3*u, u + 2*u + 5*p - 3 = 0. Suppose -5*o + 20 = 0, u*o - 68 = -4*m + 3*o. What is the greatest common factor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 148909988, 148909986, 148909982, 148909976, 148909968?\n\"Answer: -u**2 + u + 148909988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (169 - 89) + -9 + 1 + -16\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 981821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1885\/28 + -473\/7. Let m be 3 - (-1 - (-30)\/7). Which is the nearest to m? (a) -2\/19 (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -28*b**2 + 832*b - 1344.\nAnswer: -4*(b - 28)*(7*b - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/28 and -13\/6476.\nAnswer: 45332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1.8267714 months?\nAnswer: 0.015223095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 725712?\nAnswer: 2, 3, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 184, 174, 152, 112, 48?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + (-6*sqrt(140)*2*2)\/(2*(sqrt(175) + (sqrt(175) - (sqrt(175) + -2*sqrt(175))))))*-3)**2.\nAnswer: 576\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 227046, 453970, 680892, 907812?\nAnswer: 1134730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-148) + 130130\/(-168350).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 25, 5*b - 7*b = 2*f + 582. Let v = -287 - f. What is the remainder when 89 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 736.7785 millennia in years?\nAnswer: 736778.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-30)\/(-455)*(205088\/102)\/8\nAnswer: 116\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -672, -671, -670?\n\"Answer: m - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 + 33*y + 59. Let p be i(-2). What is the closest to 0.1 in 10, -7, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*q - s + 54 - 212 = 0, 8*q + s + 26 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-40)*((-2015)\/52)\/(-31)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((((sqrt(143)*3 + sqrt(143))*-4 - sqrt(143) - sqrt(143)) + sqrt(143))*2*-2)\/((-1*(sqrt(77) - sqrt(77)*2))\/(sqrt(252)*-2)))**2.\nAnswer: 77905152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 4*m - 2*m = 0, -3*m = -4*f + 14. Let b be 2 - f - 1 - -6. Suppose -b*h = -4*l - 16, 5*l - 5 = -5*h - 25. Solve -12 + h = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14765 minus 3?\nAnswer: 14762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 123 + -128. Let t(v) = -v**3 + 10*v**2 - 8*v - 4. Let p be t(9). Put -3, b, p, 2 in descending order.\nAnswer: p, 2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -921*s**4 - 440*s wrt s?\nAnswer: -11052*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*81.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(((q\/(q*(q*q\/(q*q\/q**(-4\/7)))\/q*q))\/q)\/q)*q)\/((((q\/(q\/(((q**30\/q)\/q)\/q)))\/q*q)\/q)\/q))\/((q**(-7)\/q)\/(q\/(q*q**(-2\/67)\/q))) assuming q is positive.\nAnswer: q**(-5413\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7244 + -7197. What is the fourth smallest value in 5, 2, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11895\/2 + -5946. Factor i - 1\/4*u**2 + 1\/4*u.\nAnswer: -(u - 3)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - -3. Let g be (1 - -2)*6\/v. Suppose -s - r = s - 10, -g*s = 3*r - 15. What is the biggest value in 3, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33 divided by 25.\nAnswer: 33\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 9*c + c**3 + 9*c in the form x*c**3 + z*c + n + v*c**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = k - 0. Let b be (-96)\/(-20) - 4\/5. What is the lowest common multiple of 9 and b - (3 - 2) - k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11.45*-4.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + -11 + (-8 + 16 - (-13 - -9) - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 27289497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that m**3\/3 + 17*m**2\/3 - 16*m - 180 = 0.\nAnswer: -18, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -18 + -127\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 103087830439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 2) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 65*y + 2. Let w = 71 - 70. Let f be u(w). Let g = -59 + f. Calculate the greatest common factor of g and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 9 + 6 = 0. Let c(o) = 3*o + 56. Let d be c(-17). Find the second derivative of 5*m**3 - m - d*m**3 - h*m**5 wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -25.99989 + 26. Round l to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2065 divided by 5.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-5070)\/84 - -51 - (264\/(-26) - 2\/(-13))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 255 divided by -978.\nAnswer: -85\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -104*o - 16 = -100*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 34 - 61 + 26 + 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of 14 - 1\/8*g**2 + 1\/12*g**3 - 1\/4*g + 1\/16*g**4. Suppose y(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*7\/2100*-1*40\/(-16)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 68168568 by -415662.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*a = 48*a. Let v = 10 - 7. Suppose -l + v + 3 = a. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 4472 and -4.15182507.\nAnswer: 4467.84817493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1559124109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2573928 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence emc when three letters picked without replacement from ccmemccouc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.505 + 1.005. Let p be 4\/70*(6 + -1). What is the nearest to 1 in -3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + -4*(sqrt(288) + -1 - sqrt(288))*1 + -4)*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.9, -4, -0.3, 5.6, 1\/3 in increasing order.\nAnswer: -4, -0.3, 1\/3, 0.9, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -25026 by -194.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -102619, -102779, -102937, -103093, -103247?\nAnswer: -103399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 44\/99 + 11\/(594\/(-24)). Solve 4*c - 5*s + 3 = f, 4*s + 11 - 32 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 902, 1603, 2304?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 1, 5*l + 4*m - 5*m - 14 = 0. Solve 2*r = 6, -5*r = -l*q + 4*q - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 8182.201 minutes?\nAnswer: 490932060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -394.6 + 395. What is the third biggest value in -18, 0, b?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2*r - 3*w + 1500, -3*r + 4*w = -2264. Find the second derivative of f**5 - r*f**3 - 1 + 752*f**3 + 3*f**2 + 7*f wrt f.\nAnswer: 20*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5071*b = -5075*b + 120188. What are the prime factors of b?\nAnswer: 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 35479800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uur. What is prob of sequence ruu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 3911?\nAnswer: -2\/3911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*(-16)\/(-20)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 751.0832l?\nAnswer: 751083.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11035752?\nAnswer: 2, 3, 7, 13, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (20\/(-4) - -12) + 51 + (-3124)\/44\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -8. What are the prime factors of (3\/l)\/((-9)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16168 and 841864.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/4 (b) -8279 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 295 is divided by 71?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 252567887717+-29.72\nAnswer: 252567887687.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 84037\/398110 - 42\/4855. Find the common denominator of 61\/270 and a.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*a = -51*a - 3*y + 34, 2*a + 3*y = 14. Let u(g) = 48*g**2 - 1. Let l be 0 - -1*(-2)\/(-2). What is the remainder when u(l) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 383 and 1929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6811.894 litres in millilitres?\nAnswer: 6811894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*q**2 + 12*q**2 + 16*q**3 - 9*q**2.\nAnswer: 16*q**3 + 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 458278600 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/5 and -45\/278.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract -11 from 193.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2100021 (base 3) to base 15\nAnswer: 78d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -645.42203\nAnswer: -64.542203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.414? (a) 6 (b) -0.4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ioiooo. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -52549, -211361, -476047, -846607?\nAnswer: -1323041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/(-9)*6\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2*r = -3, -91 + 85 = -2*x + 3*r. Solve 2*i - 6*i - 4*a = -8, 2*a = x*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1204754 is divided by 1204730?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 381552923.99000277 - 381552920. Let d = n - 3.99. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -5*h - 2*r - 198, 0 = 5*h - 4*r + 207. Let o = h - -73. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 5*p = -n + 48, 112 = 4*n + 4*p. Let d(u) = 9*u - 40. List the prime factors of d(n).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o**2 - 30 + 30 - 12*o**3 - 16*o**3 in the form j*o**2 + t*o**3 + k + i*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from spohsrm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23 + -21. Suppose 0 = -r*b - 10, 0 = -5*f + 3*b + 25. What is the third derivative of -7*d**2 - 8*d**3 + f*d**3 - 4*d**3 wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {h: 1, r: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 5*m + 22. Let t be h(-3). Let z = 0 + t. What is the remainder when 30 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -76*t - 1. Let k(a) be the second derivative of 19*a**3\/6 + 8451*a. Give y(k(m)).\nAnswer: -1444*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 + 10 - 3) + -2. What is the tens digit of -3 + 5 + 13 - l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 676752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -105 - 874*c**2 + 859*c**2 + 99*c - 15.\nAnswer: -3*(c - 5)*(5*c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 + 116 + 25 = 7*h - 0 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 656, 1312, 1968, 2624, 3280, 3936?\n\"Answer: 656*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 628354.2 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -s**4 + 387*s**3 - 1151*s**2 - 387*s + 1152 = 0.\nAnswer: -1, 1, 3, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 + -11000010?\nAnswer: -11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 9. What is the closest to 0.4 in -5, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -46, -205, -630, -1453, -2806?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 - -30. Let x = 8 - 5. Calculate the greatest common factor of x and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-531)\/295*660\/(-59994)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 1)*(-3 + 4 - 2)*(6 - 5 + 3)*(-1 + 4 - 1)*(2*p - p - 2*p).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 - (-1)\/15*-47. Let q = -10 + 13. Which is the second biggest value? (a) q (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/7 + (-36)\/(-126).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and 3505.\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159*b - 144*b = -30. Let l(h) = -5*h**3 + 4*h**2 - 2*h - 1. Let y(q) = 19*q**3 - 17*q**2 + 9*q + 5. Determine b*y(a) - 9*l(a).\nAnswer: 7*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11717200?\nAnswer: 2, 5, 11, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 206478006*k**4 + 2925*k**2 - 7179*k wrt k.\nAnswer: 4955472144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*l**3 - 265 - 254 + 519 + 53*l**2 to the form h*l**2 + x*l + w*l**3 + i and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/15 + (-8 + (-1240)\/30 - -9)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8570 = -25*n + 39805. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from eejjjeejtje.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n**3\/2 - 445*n**2 - 6287*n\/2 + 3588 = 0. Calculate n.\nAnswer: -8, 1, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -61 + 93. Suppose 0 = -q + 6 + f. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -96380761*b. Let c(l) = 2*l. Calculate c(w(y)).\nAnswer: -192761522*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.4231 - 2.1021. Round b to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 570 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -k + 3*w - 18 + 6, 5*k - w = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 383332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 798 = -z + t + 793, -121 = -2*z - 5*t - 84 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 100\/6 - (-1)\/3. Suppose -5*z - j = -o, -1 = j - 3. Solve -z*r + 12 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7085 is divided by 2792?\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/(-4) + -2)*-14. What is the units digit of (v\/(-2))\/((-2)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xrxr when four letters picked without replacement from xrrxxrrrrxrrxrxx.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 343209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1419200553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 154026973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -4, 3, 0.11, -0.017 in descending order.\nAnswer: 3, 0.11, -0.017, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -4*p**2 + 22*p - 15. Let q be b(-8). Round q to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*b**2 + b**3 - 14*b**2 - 3*b**3 - 50*b**4 + 0*b**3 + 46*b**4 - 5*b to the form z*b + a + u*b**4 + f*b**2 + l*b**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -44 divided by 3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2985336 millimeters to centimeters.\nAnswer: 0.02985336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -3*q**2 - 8*q - 5. Let r(c) = 4*c**2 + 8*c + 6. Let i(a) = 3*j(a) + 2*r(a). Let n be i(-8). Let m(g) = g**3 + 2*g**2 + 3*g + 2. Determine m(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 746.017153 + -746.12. Round x to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 50*j**2 + 5*j. Let n be -1*(-8 + 4)*(-29)\/(-116). Let k(d) = -d**2 - d. Give n*u(y) + 5*k(y).\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -112.5 - -120546\nAnswer: 120433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -78 - (-8 - -11) - (17 + -54 + 22).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28 + -33. Which is the third biggest value? (a) x (b) -2\/5 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*g - 40 = -100*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 32129100743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 46694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 8000\/11 - 60\/11*u**2 - 2\/11*u**3 + 0*u.\nAnswer: -2*(u - 10)*(u + 20)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -28*(-13)\/1911*(725\/(-120) - -6)?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -23*q**2 - 459*q + 32. Determine y(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -6*c**3 - c**2 - 5*c - 4. Let b be n(-1). Let g be -2*(120\/25)\/(b\/(-75)). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -6, 12 in decreasing order.\nAnswer: 12, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + 31*o**2 - 166*o + 55. Calculate the remainder when 2161 is divided by z(24).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 33 - -11. Let o = r + -49. Which is the nearest to -3? (a) -2\/5 (b) o (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-2 + -4 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 64 = -16*s. Solve -2*r - 5*u - 1 = -11, s*r + 2*u = -12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -6 + (5 - -8) + 2 + 0. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the second derivative of 0*l**2 + 0 - 3\/40*l**4 - 1\/100*l**5 + 1\/600*l**6 + 1\/6*l**3 + l. Let o(y) be the second derivative of z(y). Factor o(i).\nAnswer: 3*(i - 3)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((m\/(m**(1\/2)\/m))\/m)**(-19))**27)**(44\/7))**(-28) assuming m is positive.\nAnswer: m**45144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8884363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/408*(-36)\/(-9).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12176*r - 38 + 15 - 7 + 30 to the form g + n*r and give n.\nAnswer: 12176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 13*s**2 + s - 20. Let p be 4 + (-116)\/30 + 1379\/(-105). Give r(p).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p - 6. Let c be v(-8). Let l be -2 + 0 + 26\/c. Solve -2*s - 4*i = 2*s - 4, -5*s - i - l = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/27370 and -157\/25530.\nAnswer: 3038070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 68376298772424 - -7\nAnswer: 68376298772431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 7*c**3 + 9*c**2 + 6. Let b(a) = 6*a**3 + 8*a**2 + 5. Calculate -6*b(l) + 5*p(l).\nAnswer: -l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5492 + 5480. What is the nearest to 1\/2 in y, 0.1, 8, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o. Let q(c) = -c - 3. Let u(p) = -7218*p**2 - 2*p - 6. Let d(n) = -2*q(n) + u(n). Give j(d(t)).\nAnswer: 14436*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -10\/27, -1\/14, 27, -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -3\/8191960?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 616275*y**2 + 1232671*y**2 - 616897*y**2 to l*y**2 + u + n*y and give l.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 2*y**2 - 3*y + 3. Let m be v(-7). Let r = 418 + m. Suppose -4*s = -5*o - 173, -r = -4*s - 4*o + o. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of y**4\/4 + 22*y**3\/3 + 12*y**2 - 7*y + 12. Is k(-11) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 2*n - 2, -r + 0*n - n + 1 = 0. Solve r = -2*l - l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4542*b**2 - 62*b + 37. Let t be u(16). What are the prime factors of (-1)\/(-7) - t\/(-637)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1060 (base 8) to base 10\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 96 = -4*u, u + 2*d = -0 + 21. Calculate the highest common factor of 12 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1091874573 and 2153?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/13)\/o**(2\/7))**(-6\/5))**(-2\/7) assuming o is positive.\nAnswer: o**(-96\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1657\/9 - -9526\/9. Let p = -865 + k. Let l = -10\/61 + 99\/976. Calculate the common denominator of l and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/2390 and -23\/30?\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 3*i = 130, 0*y - 5*i - 262 = -4*y. Let j = 12 - 3. Suppose -j - y = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 56, 5, 4, 14 in increasing order.\nAnswer: 4, 5, 14, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6266 = -723*i + 241*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -222*k - 10 = -110*k - 111*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 27\/15 - 2\/(-10). Let x be (-3)\/(-2)*i\/3. Let n(t) = -t**3 - 4*t**2 - 2*t - 5. Let v be n(-4). Solve -4*b = x + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 376 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*m = -52*m. Solve 0 = 5*i - 3*q - m*q - 5, 0 = -2*i + 4*q + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 672013?\nAnswer: 467, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.9*-7786453\nAnswer: -7007807.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6251899\/301 - ((-24)\/(-21))\/(-2) - 7 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 325\/4 - 82. Let y = 0.07 + -0.02. Let a = y - -0.05. What is the closest to -0.1 in 0.2, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**3 - 373818*g**2 - 17467300230*g + 17467674050 = 0. Calculate g.\nAnswer: -93455, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11123 - -12030?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.832 - 0.132. Let z = h - 8.06. Round z to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49756403033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 - 5*g - 4. Suppose 0 = -14*j - 0*j - 56. Give v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b - 4. Let q be i(3). Let d = -10 - q. Let f = -2 + 6. Solve -3*g = 5*c + 9, c + f*c - g - d = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, v: 1}. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j - 20. Calculate s(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 253 = -62. Suppose -55 = 4*g - v. What is the nearest to g in 0, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -7.6. Let w = -0.4 - s. Which is smaller: 1\/5 or w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4*g = 3860, -w + 3865 = -7*g + 2*g. Suppose 836*s**2 + w*s + 60*s**4 + 812 + 1084*s**2 + 3*s**5 + 2260 + 480*s**3 = 0. What is s?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -33*d + 12*d + 168. Suppose -3*r + r = -4*g + 338, 3*r = -4*g + 333. Suppose -d*y = -4*y - g. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 21*g - 4. Let v be r(1). Suppose -v = -3*z + 4. Suppose 324 + 26 = z*f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10 - -2. Solve 4*r + k = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -3440.\nAnswer: -3440, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 5419 * -0.4.\nAnswer: -2167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/(-7))\/(8\/112). Suppose -2 = d*q - 6. Let h = -32 + 65\/2. Is h at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.52 + -0.68. Let q = -4.1126 - -6.31225. Let t = l + q. What is t rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 2*r**2 + 0 + 2*r**2 - 2*r**3 - 5. Let h(k) = 2 + 0*k**3 + k**2 - 3 - k**3. Let a(f) = -d(f) + 4*h(f). What is the derivative of a(z) wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-14)\/(-2) + 4)*2. Suppose -n - q = -77. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -2*((-289)\/6 + 4\/(-12))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of -a**6\/120 + a**5\/10 + a**4\/24 - a**3\/2 - 3*a**2\/2 + 3. Let q(r) be the second derivative of b(r). Determine q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -98 + 102. Put -57, i, 2 in increasing order.\nAnswer: -57, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/3, -2\/239, 1, -2\/19, 1\/5, 235, 8?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 46 - -26. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*f**3 - 275*f**3 + 437311*f - 437311*f.\nAnswer: -247*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/2693 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3 - 9*s**2.\nAnswer: s**2*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 1 = -1. Suppose -2*j = f*j. Let x be 47\/3 + (-3)\/(-9). Solve j*b + 4*b + x = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of y**10\/181440 - y**9\/45360 + y**8\/40320 - 25*y**4\/24 + 21*y**2. Let q(b) be the second derivative of a(b). Factor q(r).\nAnswer: r**3*(r - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/6 and (-2)\/3*((-118)\/(-16) - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -55 - -64. Calculate the remainder when 1124\/36 - (-6)\/(-27) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 PM and 5:00 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*l - 2*l**3 + 92*l - 32*l - 28*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 89, 107, 141, 197, 281?\n\"Answer: j**3 + 2*j**2 + 5*j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**2 + 4*c - 4*c + (-c + 3*c + 0*c)*(5 - 5 - c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes before 6:58 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -12, 0.2, -43, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -4*y. Suppose 5*p - k - 18 = 17, -2*p - 5*k + 14 = y. Is (2\/(-4))\/(p\/(-70)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13229\/12 + -1104. Calculate the common denominator of 143\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s - 3. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 35928 = -0*w. Suppose -w = 4*l + 26036. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20301813 a multiple of 1141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2.8674514359 rounded to 4 decimal places?\nAnswer: 2.8675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 260134.\nAnswer: 2, 7, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 90, 218, 454, 852, 1466, 2350, 3558, 5144?\n\"Answer: 9*u**3 + 65*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/(f*f**(-1)))\/(f**4\/f))**(-1\/35) assuming f is positive.\nAnswer: f**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 150684?\nAnswer: 2, 3, 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 97\/70 - -18\/35. Let i = 0 + -71. What is the common denominator of h and ((-1)\/5)\/((-2)\/i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 + -1 - 1) + (-2 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve s - 2*t - 13 = -9, -3*s = -3*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + n + 11 = 0, 0 = 3*n - 1 - 2. Suppose d - 7 = -j. Suppose 2*x - d*x - 40 = 0. Round x to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 6\/27*6*(-107)\/(42800\/7500)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -5*p - 114, 3*p - 153 = -5*n + 4*p. Calculate the remainder when n is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (59199\/(-105))\/(2\/(-10))?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12698, -51086, -115160, -204920, -320366, -461498, -628316?\nAnswer: -820820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 123\/7 - 3\/(-7). Let m(d) = 10*d + 8*d - n*d - d**2. Let u(z) be the second derivative of -z**4 - z. Calculate m(u(b)).\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 4*s**2 + s**2 - 3*s**2 + 4*s**2 - s - 5*s**2. Let w(o) = -o**3 - 4*o**2 + 11*o. Let h be w(-6). Determine a(h).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 369 and 4581.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 128, 221, 318, 419?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-32)\/(-18) + (-6)\/(-27). Is 11 a factor of ((-4)\/(-6))\/(m\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13558077*z**4 - 4751*z**2 + 2*z - 135 wrt z?\nAnswer: -325393848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 40736 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: What comes next: -1, -5, -13, -25, -41, -61, -85?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 + 11*c - 24. Let g be x(2). Which is bigger: 4\/7 or g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, x: 1, f: 1, m: 1, v: 1}. Give prob of picking 1 f, 1 o, 1 m, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3446.\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 4:46 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4237765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 0.5 (c) 5 (d) -0.1 (e) -2\/15 (f) 330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 423 divided by 13588.\nAnswer: 423\/13588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**3 - 30*q**2 + 13*q**2 - 11*q**2 - 5*q**3 + 28*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n**2 - 4171*n + 96993. What is c(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -3973613.76+418\nAnswer: -3973195.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2 + 30502*t.\nAnswer: 2*t*(t + 15251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8063 + 4a0?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3391056 is divided by 1410.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 330043, 660084, 990125, 1320166, 1650207, 1980248?\nAnswer: 2310289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 7, 73, 3.\nAnswer: -4, 3, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 22917527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-164)\/(-4) - (-4)\/(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + 7)\/32*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + a = -9, 5*l - 2*a = 15 + 6. Let t be (16\/(-12))\/(7\/3 - 3). Sort l, t, -4.\nAnswer: -4, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -4 + sqrt(242) + -1 - ((sqrt(242) - (sqrt(242) + sqrt(242) + sqrt(242)*-2)) + 0 + 2))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6663315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1.104 times 9.6226\nAnswer: -10.6233504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of -32\/15*h**3 - 4\/5*h + 11\/5*h**2 + 3 + 7\/10*h**4. Let u(l) = 0. Calculate l.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11567 at most -11567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15\/16594 or 11.5?\nAnswer: -15\/16594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14027 + 7449 + 21369 - 18*z.\nAnswer: -18*z + 14791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 13*g + 24 = 0. Let w be g\/(-36)*3 - (-206)\/6. Is w != 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 95174674 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-13*96\/1040)\/((32\/15)\/(-4))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 17*l**2 + 4 + 15*l**2 - 2. Let b = 10 - 8. Let v(g) = 110 - 110 - b*g**2. What is v(k(t))?\nAnswer: -2048*t**4 - 256*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*q + 84 = -32*q. What is the common denominator of (-21)\/(-60)*(-324)\/q + -1 and -121\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -3\/43, -0.1, 1.48, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1342198 divided by -3718\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*w - 6 = 4, -3*v + w + 8 = 0. Suppose -v*s + 10 = 3*s. What is the units digit of (s + 2\/(-2))*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*r - 3*r - 14*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from luullzuuuuuyhzzz. Give prob of sequence ll.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -45 divided by -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u**2 + 14*u - 6. Let r be a(9). Let x be (-164)\/14 + 12\/r. Let b be 1 - (3 - 0) - x. Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - ((-100)\/(-140) + (-6)\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 456208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 951 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -8441850 divided by 1406975?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 156\/(208\/(-8)) - 264\/11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 52 (base 10) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1477*v + 8580*v + 10188*v + 5828*v.\nAnswer: 23119*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -111559.7219 rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of m**3\/3 - 5*m**2\/2 + 6*m + 23. Does 9 divide t(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/((-1 + 2)*-1). Let r(j) = j**2 - 2 + 3 + 0*j**2 + p*j + 4*j. Let f be r(-5). Solve -2*g + t - f = 0, 5*g - 3*t + 16 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1314321 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, 1, -0.044, 0.2, -2\/15, -7, 0.8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -681, -732, -813, -924, -1065, -1236, -1437?\n\"Answer: -15*j**2 - 6*j - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 AM and 6:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(1872)*2 + (-5*sqrt(468))**2 + -4.\nAnswer: 96*sqrt(13) + 11696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3222)\/358 + (0 - 5639\/(-3)). Is t < 1871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1\/3))**(1\/35))**(-17) assuming w is positive.\nAnswer: w**(17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-7)*h)\/h)**(3\/4) assuming h is positive.\nAnswer: h**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.201 plus -5?\nAnswer: -5.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2352 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -286, -572, -860, -1150, -1442, -1736, -2032?\n\"Answer: -f**2 - 283*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.9 + 4.6. Let w = -0.3 - d. Let q = -16 - -21. What is the third smallest value in q, w, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -2, -1558, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-4994)\/98 + (7362 - 7311)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2123.998008 + -2124. What is g rounded to five decimal places?\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (61\/(2806\/(-690)))\/((-3)\/12*-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1\/3, 0.05, 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 299 - 299. Which is the second biggest value? (a) u (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, -3\/7, 5, 325?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 11:38 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -11 in -0.01, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 5*r + 5 + 18 = 0, 0 = -5*i + 3*r + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/((-6)\/(-16))*(480\/(-16))\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -21384 divided by -60?\nAnswer: 1782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2792, -4581, -6364, -8141, -9912, -11677, -13436?\nAnswer: -15189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -179 (base 14) in base 7?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 5099840 to the nearest 10000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of l**4\/12 + l**3\/3 - l**2\/2 - 3*l. Is q(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -250, -498, -746, -994, -1242?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrarrrrrrrrrrrrrc. Give prob of sequence ac.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*a**2 + 129*a - 363*a + 121*a + 113*a.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2352128 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r + 4. Calculate c(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 2*p + 6. Is f(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 296\/33 + 37\/11. Put 0.2, y, -0.2 in descending order.\nAnswer: y, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {p: 1, j: 6, l: 2, t: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10222\/3 + -3412. Which is the nearest to 0? (a) 3\/7 (b) 2\/17 (c) w (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2478557.9909 - 2478419. Let l = -3.18 + 142.18. Let a = l - y. What is a rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 622.8 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21012 + -20200?\nAnswer: -111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10345875 and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6134166 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9341 - 1806. Calculate the highest common factor of r and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 164274 and 1048?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 3*j - 6402 - 13650, 4*y + 5*j - 16049 = 0. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + -5 + -2 + (-7 - -7 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -91? (a) 1 (b) -11.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 13*v - 48. Let q be z(4). Solve b = -q*y - 19, -2*y + 3 - 8 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p - 17. What is h(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.6 + 4. Let n be 2\/(-6)*6\/2. What is the closest to 2 in u, n, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*f + 55 + 106 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7833 is divided by 340?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 54450?\nAnswer: 54450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 837634.14 hours?\nAnswer: 4985.9175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*u + 21*u + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence st when two letters picked without replacement from {d: 1, z: 1, s: 1, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29968*q**4 - 133*q**3 - 627*q - 79364 wrt q.\nAnswer: -359616*q**2 - 798*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 394 = 3*a - 397, -5*a + 11 = 3*b. Put -8, -5, a, 5, 0 in increasing order.\nAnswer: -8, -5, 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 749, 386, 23, -340, -703, -1066?\n\"Answer: -363*t + 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 7c (base 16) to base 15.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjmmajn. Give prob of picking 1 m and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*x + 5*c, -3*x - 10*c = -15*c - 27. Let d be (24\/(-18))\/((-10)\/(-3) - x). Factor 3\/2*n + 0 + 3\/4*n**d.\nAnswer: 3*n*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 191 divide 1202645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 79*k - 303. Calculate r(2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*z + 11*z - 17253*z**2 + 6*z - 28*z + 17249*z**2.\nAnswer: -4*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -51*r**4 - 6*r**2 + 3*r - 16. Let l(h) = -h**4 - h**2 + h. Let d(f) = -g(f) + 3*l(f). Find the third derivative of d(w) wrt w.\nAnswer: 1152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -189.28 + -688.72. Does c = 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 46\/14*1 - 3. Let p = 0.6 - 4.6. Which is the smallest value? (a) k (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, l: 2, e: 4, q: 12}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 3*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 3:06 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 4*x**3 - 1475968*x**2 - 5903920*x - 5903936 = 0.\nAnswer: -2, 368996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5360, -10764, -16210, -21698, -27228?\n\"Answer: -21*w**2 - 5341*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4 + 4*j**3 - 54*j**2 - 216*j - 216.\nAnswer: 2*(j - 6)*(j + 2)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 29*t. Let n(r) = -17*r + 1. Give h(n(y)).\nAnswer: -493*y + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(((sqrt(567) + -1 + sqrt(567))*-2 + 0)**2 - ((-2*sqrt(567) + 0)**2 - (5*(sqrt(567) + (sqrt(567) - (2*sqrt(567) - sqrt(567)))) + sqrt(567))**2)).\nAnswer: -720*sqrt(7) + 136100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-2)*z**(-3)*((z*z\/z**4*z)\/z)\/z**(-4) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2277, 17892, 60241, 142692, 278613, 481372, 764337, 1140876?\nAnswer: 1624357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add 9633.1954 and -0.1601.\nAnswer: 9633.0353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -241*y**2 + 5*y + 11. Let l(p) = 48*p**2 - p - 2. Calculate 2*d(j) + 11*l(j).\nAnswer: 46*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6993.9998006 + -6994. Round x to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -249 = -5*a + 3*h - 357, 0 = 2*a + 4*h + 38 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 PM and 11:41 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 - 61*q**2 - 4*q - 196. Calculate x(-61).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5\/4)\/((k*k**4)\/k*k))\/(k**(-1\/11))**(-3\/8) assuming k is positive.\nAnswer: k**(-553\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 158*q + 809 + 153 + 184*q + 45 - 83*q wrt q?\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 10*k + 2. Let y be q(1). Let r = 43 + y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 5*o + 34 = -69, 0 = 2*c + 3*o + 49. Which is smaller: c or 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 7, x: 5}. Give prob of picking 1 x and 3 r.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.07 and -44.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 51, -2, -213, -5, 0, -4, 8 in descending order.\nAnswer: 51, 8, 0, -2, -4, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 345574820 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, i: 2, w: 4, d: 2, f: 8, l: 2}. What is prob of sequence id?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k + 35. Let d be p(8). Calculate the highest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.52 + -0.4. Let m = -74 + 116. Let a be (-6)\/m + 1\/(-84)*-33. What is the second biggest value in 4, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-22572)\/6 - ((-1)\/1 + 5). What is the hundreds digit of (2 + r\/(-21))*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*x**2*z**3 - 2856*x**2*z**2 - 3*x**2 - 4*x*z**3 + 27401*x wrt x?\nAnswer: -4*z**3 - 5712*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 450 - 154. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = o - f - 0*f, -5*o - 18 = -2*f. Let i be -3*1\/(15\/(-2)). What is the nearest to i in 0, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2*(-6)\/4)\/(30\/280). Let j be (-21)\/k - (-2 - 3\/(-4)). Suppose 0 = 3*o - 3*n - 15, 0 = o - 2*n + 4*n + 10. Solve -j = -s - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/6 - (722\/(-399))\/38. What is the second smallest value in -55, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of -k**2 - 1. Suppose -3*q = -4*j + 2*q + 9, -3*q = 3*j - 27. Determine u(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28939751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 - -5. Let y be (-288)\/27*z\/4. Solve -x + 3*f + y = -f, f - 5 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -29 + 39. Let s = -10.322 + -0.078. Let i = p + s. Put i, 1, 0 in descending order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -23888 divided by -16\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -49, 3, -65?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7588476g to tonnes.\nAnswer: 0.0000007588476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 592 divided by 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u - 6 + 3 - 4. Let j be i(-7). Factor -1\/2 + 0*g**3 - 1\/2*g**4 + g**2 + j*g.\nAnswer: -(g - 1)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11*-2*((-42)\/56)\/(6\/(-4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 729 and 28002834?\nAnswer: 84008502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-5)*2\/8*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -4*h + h - 26*h. Let r(a) be the first derivative of -18 + 0*a**2 + 2\/3*a**3 + 0*a. Give y(r(j)).\nAnswer: -58*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -51*v**2 + 4*v**2 - 3*v**3 - 41*v**2 - 10*v**2 + 3*v**2 - 62*v.\nAnswer: -v*(v + 31)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 4) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -942145 or 1016?\nAnswer: 1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 241918 and 8497058.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -20803 * -62\nAnswer: 1289786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhtht. What is prob of sequence ht?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + 12*7\/(-14))\/(-6 - -4). Which is the fourth biggest value? (a) 18\/5 (b) i (c) 2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 431860 and 6040?\nAnswer: 863720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes before 9:01 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.27 in -2\/197, 0.05, 2?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -y + 2*w, y + 2*w = -6 - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 440966, 440989, 441012, 441035, 441058?\nAnswer: 441081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5*r - 3)*(-4 + 5 - 2)*(-r - r + 3*r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 3, -1, -5 in increasing order.\nAnswer: -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qvvqqvv. What is prob of picking 1 q and 2 v?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1110 (base 3) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 49801, 99603, 149405, 199207, 249009?\n\"Answer: 49802*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 598 - 400. Let k = 407 - f. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 337605 = 5*y, -6*y - 265*f + 405130 = -269*f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.3684878 years?\nAnswer: 0.003684878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 64056 and 0.5.\nAnswer: 64056.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 25 = 0, 0 = -s + 4*k + 2 + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 63871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 117, 252, 385, 516, 645, 772?\n\"Answer: -x**2 + 138*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -975 less than -974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -355 (base 7) to base 15\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 5*h**3 + 96 + 10*h**2 - 8*h + 6*h - 94 as d*h**3 + q + y*h + p*h**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1.12282 * 277\nAnswer: 311.02114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 3*b - 22. Let q be w(14). Suppose 2*l + 3*l + 2*c + q = 0, -20 = 5*l + 5*c. Does 59 divide (l + 2)*5\/((-10)\/77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 + -8. Let i be 3\/u - 5\/2. Which is smaller: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 294170086 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -149652 - -149655. Solve -4\/13*b - 6\/13*b**4 + 8\/13*b**2 - 2\/13 + 4\/13*b**u = 0 for b.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 + 11*l**4 + 17)*(16 - 117 - 60).\nAnswer: -1771*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -179*f + 179*f - 2*f**2 + 0*f**2 - 188414.\nAnswer: -2*f**2 - 188414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**2 + 130*x + 1226. Calculate the remainder when 251 is divided by c(-10).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 635 or -991?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 595 - 846. Let r = 250.9922 + a. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - 7*q + 40. Let u be r(8). Suppose 38*s - 29*s = 54. Calculate the highest common factor of s and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -448 at least as big as -546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from blizgqglblllq. What is prob of sequence bi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 628 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 88179 or 89494?\nAnswer: 89494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 89528 divided by 589.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 y, and 2 t when four letters picked without replacement from {d: 1, a: 1, y: 4, t: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11329, -23406, -35507, -47644, -59829, -72074, -84391, -96792?\nAnswer: -109289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(231) - -2*sqrt(231))*1)\/(sqrt(49)\/(sqrt(7) + (sqrt(7) - (sqrt(63) - sqrt(7))) - sqrt(7)) - sqrt(7)))\/(-1*-1*2*sqrt(99)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dl when two letters picked without replacement from ldd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1160 at most 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 5*k + 15 = 0, -2*i - 3*k = 3*i - 13. Solve -4 - i = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 10369*c**5 - 10529*c**5 + 0*c + 3*c - c - 3*c**5 - 2*c + 2*c + (0*c**2 + 0*c**2 - 2*c**3)*(0*c**2 - c**2 - c**2).\nAnswer: -159*c**5 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -8354*i - 27 = -4*r - 8355*i, 40*i - 305 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + 11133323?\nAnswer: 11133321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -65 + 68. Suppose -21*w - 3 = -q. Solve 0*o + 2*o + 3*y = 8, w = -y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11283658 is divided by 1410441?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/3 at least -115491115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -3*c**3\/4 + 15*c**2 - 351*c\/4 + 243\/2 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 43\/5 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 2*p**2 - 1. Let x be n(-2). Suppose -7 = -x*h + 28. Suppose 6*k = 2*k + 120. Solve -6*q - 4*a = -q - k, a = h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -1bf5?\nAnswer: 1bf3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1\/6 - -1\/18. Is l > -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5886 is divided by 145.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 169031 and 5377882.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i**2. Let m(n) = -7*n**2 + 3. Let f(t) = -5 + 10 - 15*t**2 + 2. Let s(q) = 6*f(q) - 14*m(q). What is l(s(x))?\nAnswer: 192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7.930951 nanoseconds in milliseconds?\nAnswer: 0.000007930951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 228610 and 23775440?\nAnswer: 23775440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ogqq when four letters picked without replacement from gqkgkogoagkaqx.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 66120.3 - 66125. Let u = 1 + -0.9. Are y and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -141.9 + 155. Let i = o + -14. Does i = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 + 9*n**2 + 7*n - 9. Let f be i(-8). Let q be (1 - (-1)\/(-1))*f. Suppose p - 22 + q = 0. What is the greatest common factor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1868893462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7 and -75?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12660 = -498*w + 32580 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 29876 and 440.\nAnswer: 298760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -126 + 136. Calculate the greatest common divisor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -329 - -367. What is the common denominator of 22 + -25 + (1602\/116)\/3 and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 40 - 29. Let s = x - 8. Suppose -s*q + 4*q = 7. Solve 4*c + q = -3*b + 21, 21 = -3*b + 3*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-98)\/(-180) + -2 - (0 - (-4)\/(-72)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65142 divided by 14.\nAnswer: 4653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -13233002 (base 4) in base 5?\nAnswer: -2003212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cb when two letters picked without replacement from {q: 3, c: 6, b: 1, j: 1, v: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -1\/11 (b) -0.1 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 872862091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 147297.\nAnswer: 3, 37, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14896.99955756 + 14897. Round c to 6 decimal places.\nAnswer: 0.000442","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 61 - (10 - 8 - (-11 + (-2 - -3)))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 AM and 5:03 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e6 - -6e42?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1231117907 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -204 (base 16) in base 11?\nAnswer: -42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 - 12*x**2 + 10*x + 13. Let j be i(-13). Suppose 0 = 6*v - 2*v - j. What is the second derivative of -7*h + v*h + 14*h**5 + 0*h + 0*h wrt h?\nAnswer: 280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 9 + 5 = 0. Suppose -5*r + 1746 = 17*v - 15*v, -d*v - 1054 = -3*r. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1223118600 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 2506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - z + 11 + 12 = 0, -3*p - 15 = -z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 11912, 23818, 35722, 47624?\n\"Answer: -q**2 + 11909*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2 + 147*k + 148.\nAnswer: -(k - 148)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4288191582 to the nearest integer?\nAnswer: 65484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.0125 + -12.0125. What is the third smallest value in p, -23\/43, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 1122*n + 81798. Give l(-73).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -329 + 331. Let b(u) = 8*u**3 - u**2 - u. Calculate the smallest common multiple of b(t) and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12952721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**3 + 2*p**2 - 12*p - 13. Let g be u(-3). Let k = -13 - -12. Put k, g, 5 in decreasing order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**4 + 0*k**4 - k**4)*(44 - 12 - 103)*(-k - 5 + 5).\nAnswer: -71*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d*h**2 + 8675*d*h + 5*d + 65503437*h**5 + 69*h wrt h.\nAnswer: 4*d + 1310068740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.01, -3\/7, -1\/5, 3\/17, 0.44.\nAnswer: -3\/7, -1\/5, -0.01, 3\/17, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -34*s**3 - 4*s**2 + 3*s + 4. Let k be o(2). Let f = k + 283. Solve 0 = 2*x - 3*x - 3*y + 1, 5*x + 5 = -f*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 102*m**3 + 82*m**2 - 7*m + 10. Let u(x) = -103*x**3 - 84*x**2 + 8*x - 12. Let j(v) = -6*i(v) - 5*u(v). Find the third derivative of j(z) wrt z.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 95.8524 and -35.\nAnswer: -3354.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {j: 2, n: 3, p: 1, i: 3, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -512, -485, -458, -431, -404, -377?\n\"Answer: 27*n - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2561 - 2559. Suppose 0 = 2*r + 5*l + 8, 3*r - 5*l - 50 = -2*r. What is the smallest common multiple of r and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.007044817886 to four dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/4 (c) 7 (d) -3\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 AM and 11:51 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes before 3:31 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 10*g + 0*g - 3*g in the form u*g + a and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -260 (base 7) to base 13\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -194b (base 16) in base 6?\nAnswer: -45551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 1\/9, 1\/481, -5?\nAnswer: 1\/481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (295\/(-354))\/(9\/(-12))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4439 - 4438. Calculate the greatest common factor of z and 352.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -10*c - 5. Let z(n) = -n - 1. Let l(w) = o(w) - 5*z(w). What is l(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -9*k**2 + 1 - 1 + 13*k - 17*k + 2*k. Let g(j) = 17*j. What is w(g(x))?\nAnswer: -2601*x**2 - 34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*u + u + 3*z - 9 = -9*u, 0 = -107*u - 3*z - 645 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 34*u + 393. Calculate k(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 708357 is divided by 84?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3\/145, 10 in increasing order.\nAnswer: -3\/145, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 1 + 1)*(-2880 + 105*x + 2880)*(-9*x + 3 - 3) to v + d*x**2 + h*x and give d.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 + -42. What is the remainder when s\/(1 + 3) + 10 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*i**4 - 10*i**2 + 0*i**4 + 2*i**3 - 7*i**4 - 46 + 45 to c*i**3 + z + a*i**2 + h*i**4 + o*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9130 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*c + 14*c + 18*c + 17*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1250)*-4)\/(sqrt(640)*-6).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g + 2*c - 12, -2*g - 2*g = -2*c - 58. What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 + a**2 - 3*a - 12. What is l(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -148 (b) 0.05 (c) -5 (d) 0.3 (e) -0.1 (f) 22\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t = 6*t + 35. Let d(g) = -g**3 + 7*g**2 + 3. What is d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 535 a factor of 1601896421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 36540*q - 36254*q - 1430 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 40\/25 + (-4)\/(-10). Let t be -1 - (b\/(-6) + 1\/3). Let g = -0.1 - 0.1. What is the closest to t in g, 0.01, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of -4\/3*f**3 + 0*f**4 - 2\/5*f**5 + 0*f**2 - 2 + 0*f. Find the third derivative of r(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, z: 1, v: 9, u: 5}. Give prob of picking 1 u and 3 v.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = z + 40, s + s = -2*z + 28. Calculate the remainder when 75 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20350 + -20346. What is the second biggest value in v, 4\/233, -6\/7?\nAnswer: 4\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 124 and 9548.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**2 + 12*b - 12. Let h be n(9). Solve 3*g + 21 = 5*r + g, -2*r + 3*g = -h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 2*k + 12, 3 = v + 31*k - 29*k. Let j(o) = o**3 - 3*o**2 + o + 7. Calculate j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 6529*u**2 - 26 + 0*u - 3*u + 2*u + 26 as h + l*u**2 + i*u and give l.\nAnswer: 6529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/7)\/m**(-1\/3))\/(m*m\/m**(-1)*m)**(-2\/3)*(m*m**(-2))**0\/(m\/(m**0\/m))**(-26) assuming m is positive.\nAnswer: m**(383\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**2 - 12*j + 15. Let f(s) = -2*s**2 + 14*s - 15. What is -6*f(k) - 7*y(k)?\nAnswer: 5*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1859651761?\nAnswer: 11, 107, 1579993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68 - 342\/5. Which is the nearest to s? (a) -2 (b) 3\/4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of -p**4\/24 + 7*p**3\/6 + 2*p**2 + 5. Let g(n) = -4*n. Give g(j(m)).\nAnswer: 4*m - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 4 = -2*q. Let r = -45 + 50. What is the nearest to -1\/4 in -3, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 times -5273.81\nAnswer: 89654.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/4)\/(-6*4\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nmmmmmmnmmmmm. Give prob of picking 2 m.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2051)\/1465 - 233\/(-170). Sort 6, 1\/8, u.\nAnswer: u, 1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (-28 + 22) - (10 + (-2 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6\/385 or 0?\nAnswer: -6\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, y: 7, v: 4, w: 2, u: 3}. What is prob of picking 1 w and 1 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*x - 8 = 58*x. Calculate the common denominator of -11\/18 and x + ((-12)\/(-9) - (-8)\/42).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + w = 5*i - 16, -3*w + 28 = 4*i. Let c = -10365 + 10371. Solve 0 = 5*a + 3*j + 11, c*a + 11 = 3*a - i*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -45*j - 173. Let k be x(-54). Calculate the greatest common factor of 61 and k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.46, -0.13, 0.5, 2\/25, 12 in descending order.\nAnswer: 12, 0.5, 2\/25, -0.13, -0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -2147\/5 <= -428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -71c (base 13) to base 2\nAnswer: -10010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 160776237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2010010 (base 3) to base 16.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1*-4*6\/32*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -204?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**4 + 4*v**4 - 4*v**4)*(1 - 2 + 2) - v**4 + v**4 + 4*v**4.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2441 + -5?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39351*n**3 + 264472*n**3 + 56643*n**3.\nAnswer: 360466*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 31, -5, 251, -3, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1507523, -1507591, -1507671, -1507769, -1507891, -1508043?\nAnswer: -1508231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 156667 at most 157044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = h - 4*b, -4*h = -5*b - 33 - 34. Solve 2*x - 7 = 3*s + 7, -s + 4*x - h = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4670 (base 9) to base 5\nAnswer: -102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y = 13*y + 144. Let a = -47 - -149. Let o = a + y. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -44 + 41. What is the third smallest value in d, 0, 3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -371200 (base 9) to base 15\nAnswer: -46560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -128*a + 133*a - 9 = 4*b, -5 = -3*b - 8*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((56\/(-216))\/(5\/(-15)))\/(80\/(-90)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-28 + 0 - (-1064 - -1046)) + (1 - -4) - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrzryrbrryzryyrryyyr. Give prob of picking 1 z and 2 y.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x - 5. Let b be u(15). Solve b = z + 27, 3*p + 5 = -z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 497 = -4*a, -2*a = -3*c - 0*c - 299. Let z = -55 - c. Let o be z\/14 - 2\/7. Solve o*s - 4 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l - 18. Let p(z) = 0*z - 16*z + 15*z - 2. Let n(k) = -a(k) + 3*p(k). What is the tens digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*j**2 + 107980*j + 5045718.\nAnswer: 2*(j + 4861)*(11*j + 519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 413043 - 14?\nAnswer: 413024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-288)\/1080)\/((-4)\/6) + 0. Let q be -3*2 - -1*2. Let i be 2\/q - (-2)\/12. What is the biggest value in -4, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, h: 4, b: 7, x: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/5)\/((-2)\/10). Suppose -2*g + 16 = m*g. Suppose 0 = -g*v + 28 - 16. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -18. Let i = -6.36 + 12.34. Let q = m - i. Round q to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 351 (base 12) in base 9?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -4*j + 34, -1969*j + 49 = -3*c - 1964*j. Sort -5, 2, c, 16.\nAnswer: c, -5, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3 + (-1911)\/(-6) + (-1)\/(-2). Let v be (-3 - (-33)\/12) + o\/8. Let l = 56 - v. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -4 (b) -12 (c) -6835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - (-4 + -3)) + -7 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 2*q - 3*w, 3*q + 105*w - 39 = 106*w for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -5, 14\/17, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 14*d + 7. Let k(p) = 14*p + 6. Let s = -22 - -27. Let y(u) = s*k(u) - 6*f(u). Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from pllfppppllklppfpkp?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 307*6.4.\nAnswer: 1964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*d - 9*d + 23*d + 2212.\nAnswer: -d + 2212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -123*a**2 - a + 45*a**2 + 41*a**2 - 2*a - 10 + 46*a**2.\nAnswer: 9*a**2 - 3*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 263*p + 33. Let z(c) = 52*c + 7. Calculate 2*f(o) - 11*z(o).\nAnswer: -46*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z and 1 n when four letters picked without replacement from xzzxnrxzrzzrzrrzxz?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 12:20 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 12 = -v + 27, 2*v = 2*d - 2. Let p be -1*(-2 - 0 - -1). Let j = p - 4. Put j, 2, d in decreasing order.\nAnswer: 2, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 - m + 6 - 4 - 20 - 2*m - 13. What are the prime factors of o(-22)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i - 2. What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4.23 - -0.23. Which is the closest to 1\/3? (a) 4 (b) 4\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 - -33. Let z = u - 3. Calculate the remainder when 21 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13855, -13854, -13853, -13852?\nAnswer: -13851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.2 (b) -31.99 (c) 4 (d) -15\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 24*u**3 - 6*u**2 + 5. Suppose 64 = 5*z + 4*t, -5*t = 3*z - 10*t - 31. What is the remainder when c(1) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(567) + 1 + sqrt(567))*6 - sqrt(567)\/(sqrt(9) + 5*sqrt(9))*4.\nAnswer: 12 + 106*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - cb0b8?\nAnswer: -cb0bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, -2, -1, 3, 13, 0 in increasing order.\nAnswer: -2, -1, 0, 3, 13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 135221629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/13, -1\/29079, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 - 24*r**2 - 55*r - 15. Determine p(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (0 + (-210)\/(-18))*3 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 17 + 16 + -3 + -16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(4\/3)\/c)**10*c**(-5\/4)\/c**(-26) assuming c is positive.\nAnswer: c**(337\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s + 12 = 9*s, -4*v + 4*s + 4 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*((-40)\/6)\/1*(-564)\/(-376)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42\/4*18*(-27)\/((-154791)\/(-42)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 175800 and 1656?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -3.3, -12\/5, 51 in descending order.\nAnswer: 51, -12\/5, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 58149, 58133, 58117, 58101?\nAnswer: 58085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -55 by -4.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -711 - 136*s - 128*s + 261*s - 2234 in the form l*s + m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 736 = -4*w, 11*q + 10 = 6*q. Suppose -188*u + 3426 = -w*u. What are the prime factors of u?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) -0.29 (d) -8.9 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(44) + -1)**2 + -3 + 4)*3 + -1.\nAnswer: -72*sqrt(11) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5619 + 3864. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of -s**5\/20 - s**4\/4 + 4*s**3 + 11*s**2. Suppose p(f) = 0. Calculate f.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -24, -123, -212, -285, -336, -359, -348?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 7 + 17 = 0. Let p be (2 - 10\/4)*f. Suppose 26 + 14 = p*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-240)\/144*2\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and 6412?\nAnswer: 6411.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1042*z - 301*z + 1040*z - 364*z.\nAnswer: 1417*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 3*q - 26, -5*z - 27 - 6 = -4*q. Let n = q + 6. Calculate the smallest common multiple of n and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14 + -9. Suppose 23 = 2*k + 3. Calculate the highest common divisor of k and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 4, r: 7}. Give prob of picking 1 r and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 242627 a multiple of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -19b37 - -39?\nAnswer: -19aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5491\/(-20230) + (-9)\/21?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/9, -4, -17, 4 in increasing order.\nAnswer: -17, -4, -4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1759?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 4 + -3 - (187 - 175).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-184)\/644 - (25\/(-14) - -1)) + 850\/20.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-43)\/((-12771)\/165))\/(30\/(-540)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 i, 1 k, and 1 l when four letters picked without replacement from {e: 1, k: 2, t: 8, r: 1, i: 1, l: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -399.4 - -399. Let q be ((-126)\/44 + 3)*-12. Let t = q - -119\/66. Which is the second smallest value? (a) o (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 404 and 124457654?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3468)\/(-20) + 4\/(-10). Let b = d - 121. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 185657018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 AM and 11:21 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -95?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (-17670)\/(-741) - 2\/(-13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 202397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 5 (c) -809\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 11170.2 rounded to the nearest 100?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 463 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 344799.540893 + -344603.541. Let s = 326 + -130. Let j = g - s. What is j rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -27553, -107532, -240831, -427450, -667389, -960648, -1307227?\n\"Answer: -26660*h**2 + h - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 5*v - 1 = -2*y, v = -5*y + 5. Suppose -2*l = 5*u - 29, -2*l + y = -5*u + 22. Find the third derivative of -g**2 + l*g**5 - 2*g**5 + 2*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1145448, -1145450, -1145452, -1145454?\nAnswer: -1145456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 45, 86, 127?\n\"Answer: 41*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - (0\/2)\/(-3). Suppose -19 = -3*c - p. Let k be 0\/((2 - -1) + -1). Solve u - c*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2376636 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 38 + 40*b - 38 + 4 - 4 - 2*b + (2*b - 2*b + b)*(-2 + 1 + 2).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*s = 7*s + 9*s + 196 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of o**3 + o**2 - 6. Let v be l(-3). Solve -2*x + 2*n = -5*x - 5, x - 5*n = v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 40818*q + 571442. Determine l(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**3\/5 - 452*n**2\/5 - 1552*n\/5 + 3712.\nAnswer: 4*(n - 116)*(n - 5)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the second derivative of f**4\/12 + 2*f. Let a(n) = -4*n**2 - 3*n + 3. Let g(i) = -7*i**2 - 5*i + 5. Let z(y) = 5*a(y) - 3*g(y). Determine w(z(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -81 - -93. Suppose -m*a - 14*a + 364 = 0. What is the least common multiple of 35 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 218*q + 525. Give w(-3).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -743 (base 10) to base 5.\nAnswer: -10433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-45)\/(-540) - (14194\/(-2760) + 4) - (-70)\/(-50).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) - (0 + sqrt(98)*-2 + sqrt(98))) + 4 + 2 + (6*(sqrt(98) + -2 + sqrt(98)) + sqrt(98) + sqrt(98) + (-3*sqrt(98) - sqrt(98)) + -2 + sqrt(98))**2.\nAnswer: -2142*sqrt(2) + 12060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 9:20 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 5618*s**3 - 53*s**2 - 53*s - 53. Let w(z) = -535*z**3 + 5*z**2 + 5*z + 5. What is -5*a(u) - 53*w(u)?\nAnswer: 265*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4484, 8987, 13508, 18047, 22604, 27179?\nAnswer: 31772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -97 + 99. Let j(w) = 195*w**2 - 415*w**y + 197*w**2. Let f(v) = -4*v. What is f(j(s))?\nAnswer: 92*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 644910 by -15355.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 170*k + 40495 - 12604 = -479*k - 19486 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 - 17*a**2 - 17*a - 18. Give r(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of -d**6\/6 + 67*d**5\/5 - 639*d**4\/2 + 5242*d**3\/3 - 6913*d**2\/2 + 2883*d - 7338. Find x such that y(x) = 0.\nAnswer: 1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110101101000001 + -1001101?\nAnswer: -110101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 + 6)*(2 - 1 - 2 + 2*o).\nAnswer: 18*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 80968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 9, -1 in decreasing order.\nAnswer: 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (8694\/(-26082))\/(((-2)\/8 + 0)\/(1530\/600))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -38 * 19.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -21*q**2 - 41*q + 6. Let g(y) = -4*y**2 - 8*y + 1. Determine 11*g(c) - 2*n(c).\nAnswer: -2*c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7572 - -7571.99999873608. What is a rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*l**2 - 18*l**2 - 54*l**2 - 70*l**2 + 6*l**2.\nAnswer: -124*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 62471 + -35198. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 21622, 86498, 194624, 346000, 540626, 778502?\n\"Answer: 21625*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 - 6*x + 7. Let p be s(-9). Let w be ((-6)\/(-4))\/(((-33)\/p)\/11). Suppose -9170 = -w*q - 1980. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - 11*t - 11. Let k be g(-10). Let h be -2 - (-2 + k - 1). Suppose -4 = -3*a + h. Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-21)\/(-6))\/((-3)\/18). Suppose -3*j + 0 = d + 12, -3*j = -4*d + 27. What is the lowest common multiple of (-153)\/(-21) + 6\/p and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 - 4. Suppose -3*u + 15 = -2*j, 0*j - 3 = -j - 2*u. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - 5) + (3 - (-2 + 6 + 4))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mminnncgn. What is prob of sequence mic?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -m - 3*l, -3*l + 1 = 3*m - 8. Let v(f) = 6*f - 1. Does 7 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 11:01 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-176)\/40 - 12)*5*1. Let s(z) = 7*z**2 + 3*z + 4. Let u be s(4). Let t = u + m. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, -66, 0.3 in ascending order.\nAnswer: -66, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*g**3 + g**3 - 3*g**3 + (-g**3 - 2*g**2 + 2*g**2)*(5 + 1 - 5) + 367 - 3*g**3 + 6*g**3 - 174 + (0*g + 0*g - g**2)*(-1 - 2 - 1)*(2*g + 3*g - 4*g).\nAnswer: 8*g**3 + 193","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-30)\/(-6)*4\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**3 - 2*s**2 - 2*s + 2. Let g be m(2). Suppose 4*f + 4 = g*f. Solve 3*c - f*c = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 + 8*p - 5. Let f be q(1). Solve -f*o = -c + 6, 3*c - 10 = 5*o + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 + 19*x**2 + 18. Let a be s(-19). Suppose 4*l - a = -2. Find the second derivative of 23*h**4 - 51*h**4 - 9*h + 25*h**l wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*v + 49*v = 4*v + 9047. Solve v = -12*p + 193 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - -1. Let p = g - 2. Differentiate 2*a**3 - 5*a**p - 1 + a**3 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -10466879, -10466873, -10466867, -10466861, -10466855, -10466849?\n\"Answer: 6*b - 10466885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) 175 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 44724 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5148 and 5148.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of -55*x**4\/24 - 9*x**3 + 60*x**2. Is r(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 8 = 4*k, 0 = -k - 5*d + d + 9. Let r = k - -13. Suppose -6 = -x + 10. What is the remainder when x is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -64*o**3 - o**2 + o - 1. Let y be k(1). Let g = -1 + y. Let b be g\/(-14) - (-2)\/7. Solve b*w - 4 = 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 3, -5*x - 5*s + 2 = 7. Suppose -13*f + 14*f = -3. What is the third biggest value in f, -12, x?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - 2*w - 6, 2*u - u - 3*w = 9. Suppose 170 - 3572 = -126*z. Calculate the remainder when z is divided by 16 + 2\/(-1) + u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2640322*i**5 - 39576*i - 3 wrt i?\nAnswer: -52806440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**3 - 13*m**2 + 1. Give j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2168*t**3 - 11*t**2 - 16*t + 11. Let j(h) = 724*h**3 - 4*h**2 - 6*h + 4. Give 11*j(k) - 4*q(k).\nAnswer: -708*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12.77 times -3593.9?\nAnswer: -45894.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 + 0*m + 0*m)*(-26*m**2 + m**2 + 12*m**2) + 0*m**2 + 0*m**2 + 2*m**5.\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33194, -66388, -99582, -132776, -165970, -199164?\nAnswer: -232358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18747730*y**2 - 2420148*y wrt y.\nAnswer: 37495460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, -1, 3, 363?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**2 - 16*d - 30. Let s be t(-14). Let z be s\/17 + 1 + 30\/(-34). Which is greater: -5\/14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 9641694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 25548 and 20957876?\nAnswer: 62873628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 384 + -386. What is the closest to -33 in z, -0.3, 0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2*r - 1 = -2*d, -3*d = -2*r - 21. Let t be ((-6)\/r)\/(-2)*5. Let c be 4\/2 - (-52)\/(-24). What is the third biggest value in c, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 114 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -23 + 1705?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p + p. Suppose p*l + 3*l = 18. Let v be 4\/(-12) - 1\/(-3). Solve v = 3*r + 6 + l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 296 + -207. Suppose -4*d = -111 - h. What is the second derivative of i - 3*i**4 + 50 - d wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 650 + 3*k**3 - 2*k - 641 - 2*k**3 - 7*k**2 + k. Let j be s(7). Which is the nearest to 0.1? (a) -1 (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -4*x - 2. Let s be d(-4). Let j = s - 12. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4726269000 rounded to the nearest one million?\nAnswer: 4726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -c**7\/210 - c**6\/45 - c**5\/30 - 5*c**3\/6 + 2*c**2. Let y(z) be the first derivative of o(z). Factor y(s).\nAnswer: -4*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 less than -1321026?\nAnswer: -1321034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 209356573933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.87 - 0.13. Which is the biggest value? (a) q (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20635115.\nAnswer: 5, 47, 277, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000631839 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (42160\/(-425))\/124 - 3\/2*(-24)\/15.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-168)\/(-234))\/4*2\/(-63)*-27)\/(-2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.03037 - -0.13037. Let g be (-1*(2 + -1))\/3. Put g, 0.9, 2\/13, m in decreasing order.\nAnswer: 0.9, 2\/13, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 302.5 minus 4.4?\nAnswer: 298.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of 1\/30*h**6 - 9\/10*h**5 - 1 + 0*h**2 + 0*h**3 - 3*h + 193\/12*h**4. Find the third derivative of x(k) wrt k.\nAnswer: 24*k - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -1. Let q(o) = 2*o**2 - 6. Let j(z) = q(z) - 6*r(z). Let a(m) = -m**2 + m + 7. Let p be a(0). Let d(l) = p*l**2 + 5*l**2 - 9*l**2. Give d(j(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gcccccnnn. What is prob of picking 1 g and 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21101200 + 111210001?\nAnswer: 20101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2228964 is divided by 1945.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is o in -o**2\/4 - 60940*o + 2193921\/4 = 0?\nAnswer: -243769, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -6\/6497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7254 is divided by 345.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 - 9*a**2 - 31*a - 82. Calculate w(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 3*k - 28 - 47, -4*k = -5*v + 125. Solve -5*z = 3*w + v, 4*w - z = -w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1685 equal to 104\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -2. Suppose -6*w + 16 = -g. Let o = 4.89 - -0.11. Which is the nearest to w? (a) -4 (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/(-18) - (-24)\/(-9))\/(-1). Let g(i) = 3*i - 2*i + 0*i. Let o(b) = 2 - 3 + 2 + 2*b - b**2 + 1. Give h*g(d) - o(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 199*c + 30 = -196*c, 5*j - 59 = -4*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/5, -226.6, -8\/5, -3\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*q**3 + 171601302793 - 128*q - 171601302793.\nAnswer: -2*q**3 - 128*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-2\/3)*y)**(-2\/7)\/((y*(y\/y**0)\/y)\/(y**(2\/9)\/y)) assuming y is positive.\nAnswer: y**(-160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3*sqrt(114)\/sqrt(6) - (1*sqrt(76) + 2).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - (-6 - (-8 - -52)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 221 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*l - 578*l - 314*l.\nAnswer: -844*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/483 or 0?\nAnswer: -2\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - -8) + 108 - 57.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22384 or -22391?\nAnswer: -22391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 470 is divided by 138.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 16 = -10. Suppose 1 = l - d, l + 46 = y. Calculate the remainder when 198 is divided by y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 8) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5\/(-2))\/(1\/10). Let o = -13 - s. Let n be 3\/o - 7\/12. Is n smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*p + 34*p + 6 = 5*z, -p - 3*z + 10 = 0. Let o be (p - 1)\/9*(2 - -13). Let a(v) = -v**2 + 2*v - 7. Give a(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -512 times -23.6\nAnswer: 12083.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54 and 57558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(275)*-4*-1)**2*1.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -10021010 (base 3) in base 8?\nAnswer: -4513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1663, 1656, 1649, 1642, 1635, 1628?\nAnswer: 1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-19\/4)\/a**(-26) assuming a is positive.\nAnswer: a**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2.3352 rounded to two decimal places?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -29, -52, -79, -116, -169, -244, -347?\n\"Answer: -s**3 + 4*s**2 - 28*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11937, -11940, -11943, -11946, -11949?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -4*x - 17. Let h be g(-8). Solve 2*m + 5*v = -h - 6, m = 2*v + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 845 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d - 1 + 1)*(-422 + 1215 - 462) + 3 - d - 3.\nAnswer: 661*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 243 and 16675695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + 9 - -16 - (22 + -15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of k**7\/840 - k**6\/90 + k**5\/40 - 8*k**3 + 8. Let y(s) be the third derivative of l(s). Factor y(f).\nAnswer: f*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g - 13*g - 9*g - 1305.\nAnswer: -20*g - 1305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 683 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00032995 to six decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 - 20 + 3*h + 40.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90 - (-65 + 73)*7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.4 + -0.6. Let v = 1 + 0. Let l = 3.5 + -4. Which is the closest to v? (a) l (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.1401868 to two decimal places.\nAnswer: 2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 12:19 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -32 - -36. Suppose q = r - 0. Suppose 208 = 4*s + q*c, -4*s + 6*s - 104 = -3*c. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = -30*j + 3793 - 3643, 3*j + 2*x - 15 = -x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 0 = 2. Let d = 1184 - 644. Suppose 6*j + 9*j - d = 0. Calculate the smallest common multiple of n and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21342*f*l**3 + 1929730*f*l**2 wrt l.\nAnswer: -128052*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9809 and 1731.\nAnswer: 29427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 + 147*n**2 - 2046*n - 280850. Determine b(-148).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -10101000110011101 (base 2) in base 10?\nAnswer: -86429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 495 and 540?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4*g**3 - 3*g**2 + 2. Let r(y) = y**3 - y**2 + 1. Calculate -k(w) + 3*r(w).\nAnswer: 7*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.97252 and 0.01.\nAnswer: 0.0197252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -33\/778 and 95\/26452.\nAnswer: 26452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 145, 313, 485, 661, 841, 1025, 1213?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 AM and 9:53 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -6749*d + 1656*d - 673*d - 4294*d - 8468*d + (3 - 1 - 1)*(5 - 5 - d).\nAnswer: -18529*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 10:40 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38888 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(77)*-1 + sqrt(77) - sqrt(77))*-2)\/((sqrt(110) - -2*sqrt(110))\/sqrt(10) + sqrt(11) + sqrt(11) + (sqrt(1584) - -1*sqrt(1584))).\nAnswer: 12*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*a = -318443 + 318821 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70615910?\nAnswer: 2, 5, 7061591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001923835434 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1601\/895 + 2\/179. Which is the closest to 6? (a) 2\/3 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 499 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 136.094014 to 0 dps.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 91*l + 37. Let i be z(-7). Let w = -597 - i. Solve 2*h + 9 = -5*y, 4*h - 24 = w*y - h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 28949.8033 and -685511.\nAnswer: -656561.1967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 8*q. Let o(l) = -369*l**2 - 368*l**2 + 752*l**2. Give k(o(t)).\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*b - 71753 = -4043. What are the prime factors of b?\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1084433 is divided by 90369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 1:43 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -15173*h + 2536475 = 223684 + 249263 for h.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 27 = 3*y, i + 3*i = -5*y + 48. Let v be -6*(-3)\/y*2 + -1. Let q(g) = g + 3. Let x be q(-8). Put x, v, 3 in decreasing order.\nAnswer: 3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:59 AM and 3:59 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 57*f**4 + 2*f**3 + 77*f + 14*f**4 - 148*f + 74*f - 2 as o*f**2 + r + k*f + z*f**4 + v*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-2*(sqrt(22)\/sqrt(2) + sqrt(11))*-3*2 - (-4 + sqrt(704)*2 - sqrt(704)*3*2).\nAnswer: -16*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*h + 4. Sort -7, h, -2 in descending order.\nAnswer: h, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g - 1615 - 645 = 0. Is g at least 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 - 1\/(-1) - -74. Let r be (-3)\/(-12) + i\/28. Find the third derivative of 2*y**2 - 11*y**2 + y**3 + 0*y**3 + y**r wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6085650 by -2175.\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001992 to 6 dps.\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-19 - -18)*5*(1356363\/(-15) - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 96042420 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -1\/2, -453?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*o + 78 + 27. Suppose -5*a + 10*a - 5910 = -o*d, 5*a = 5*d + 5880. List the prime factors of a.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven halves of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.05? (a) 18 (b) 228 (c) 37\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 128607337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -103, -99, -95, -91?\n\"Answer: 4*n - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -360 divided by -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1320588109 a multiple of 7803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 208\/28*(-28)\/(-26)*(-12402)\/(-3816).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 497 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 10 = 4*v, -5*g = -v - 15 - 15. Let w(t) = -33*t**3 + 15*t**2 + 45*t - 4. Is w(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-2))\/(24\/(-16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 103171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2053253.4 months in millennia?\nAnswer: 171.10445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**2 + 2587312*c + 43983148.\nAnswer: 4*(c + 17)*(c + 646811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 2 = 4*x. Let l(r) = x - 3*r**2 + 19*r + 37 + 2*r**2 + 0*r. List the prime factors of l(19).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/((-4)\/(-24)*3\/(-12)*-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a factor of 608340511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from vviivviviiviiivviv?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (((-1620)\/(-56))\/(-9))\/3. Let c = 61\/70 + m. Is c at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 2*j**3 - 5*j + 2. What is the remainder when 29 is divided by x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*u + 44 = -0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c + 2. What is b(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (44 - (32 - (-33 + 42))) + -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7\/186833501 or 0?\nAnswer: 7\/186833501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 7 + (21 - 41)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2840 or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*d + d. Suppose d*j - j = 0. Solve j = x - i, 5*i + 2 = x + 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1152478 and 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22202032002 - 132?\nAnswer: 22202031210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-29 + 29 + 17*q**2)*(-54*q - 17*q - 139*q - 142*q) to r*q**3 + c*q**2 + h*q + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (18*f - 25*f + 12*f)*(-f**3 + 4*f**2 - 4*f**2) - 18*f**4 - 26*f**4 + 2*f**4.\nAnswer: -47*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5547164 greater than 5547165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4748364877 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 6*l + 1. Let b(c) = 23*c + 4. Determine 2*b(x) - 9*r(x).\nAnswer: -8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -45 - -82. What is the remainder when k is divided by (-99 - -23)*(-1)\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80 - 35 - 45 + 9*j to s + q*j and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 547631 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(1\/((-4)\/(-6)) - (-161415)\/(-2110))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -190873 divided by -19\nAnswer: 190873\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.33 + 0.33. Let v = k + 0.3. What is the third biggest value in 3, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 10) + 18 - (-1 - (-9 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 6, f: 5, o: 2, y: 2, u: 1, j: 1}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-2)*(-254 - 3). Suppose 5*q - 4*r - m = 0, 3*r = -5*q + r + 239. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14 in -2\/13, -60, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -129066.97 take away 1602.56?\nAnswer: -130669.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 26249071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from xccc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 1285, -2, -4 in ascending order.\nAnswer: -4, -2, 1285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -2*d**4 + 55322*d**3 - 110572*d**2 - 1770368*d + 5310528 = 0. What is d?\nAnswer: -6, 4, 27659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 10\/3*y**3 - 722\/5 - 1906\/15*y**2 + 18278\/15*y = 0 for y.\nAnswer: 3\/25, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(2 + (1 + (sqrt(891) - sqrt(891)*1) + -2)**2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(-3) + -1 + 1 + 1. Let p be (-32)\/(-14) - 4\/14. Let i(r) = o*r - r + p*r. Give i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -z**4\/8 + z**3\/2 + 7*z**2\/2 - 20*z + 24 = 0. Calculate z.\nAnswer: -6, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - 190?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -75c4 - -18058?\nAnswer: 10874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dtddtde?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -1\/246 (c) 0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 49552.812 milliseconds in hours?\nAnswer: 0.01376467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38683826 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, 0.2, -29, 5 in descending order.\nAnswer: 5, 0.2, 1\/7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.1 - 2. Let b = j + -0.2. Put b, 3, 1\/6 in increasing order.\nAnswer: b, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) + -5 + 4*-2*sqrt(12))**2.\nAnswer: 80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10271\/4, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3223671 * -1\nAnswer: -3223671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22384908 divided by 26.\nAnswer: -860958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 30 + 1 + 2 + (14 - 27)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -f**2 + 26*f**2 + 20*f**2 + 135*f**3.\nAnswer: 135*f**3 + 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 - 7*f - 16. Calculate m(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 6. Let r(x) = x**2 - 3*x + 2. Let g be 3 - (-2 - (1 + -4)). Let v be r(g). Solve v - m = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 24265.55um?\nAnswer: 24.26555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2717711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 2*g - 4*s = -3, -2*g + 3*s + 3 = 0. Let j(d) = -d**2 - 5*d + 5. Let w be j(-6). Let y be (w + g)*1\/(-2). Is 2\/3 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4 + 8010*y**3 + 24024*y**2 + 24022*y + 8007.\nAnswer: (y + 1)**3*(y + 8007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 3*q = d - 17, 2*d = -q + 6. Suppose -d = m - 13. What is the highest common factor of 3 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00140660018 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.3 - -0.4. Suppose -3*n - 6*x = -x - 6, 0 = 3*x. What is the smallest value in g, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-895*p**5 + 39*p**5 + 148*p**5)*(2 - 7 + 2).\nAnswer: 2124*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (2*w + 0*w + 0*w)*(-33*w + 83*w + 58*w)*(-5 + 1 - 2) + 2*w**2 - 5*w**2 - 4*w**2 in the form g*w**2 + d*w + m and give g.\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 8. Let s(m) = -6*m**2 - f + 5*m + 7*m**2 + 3. Give s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 5 + (sqrt(171) + sqrt(171) + 3 + sqrt(171) - sqrt(171)) + sqrt(171))*-2 + (4*-3*(-3*sqrt(171) + 3 - sqrt(171)))**2.\nAnswer: -10386*sqrt(19) + 395272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**4\/9 + 36*x**3 + 972*x**2 + 8748*x.\nAnswer: 4*x*(x + 27)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -91\/4, 12, -0.01, 0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j + 5. Let u be z(-10). Let g = 15 + u. Calculate the lowest common multiple of 18 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -256*w**4\/7 + 10242*w**3\/7 + 37552*w**2\/7 - 198438*w\/7 + 1548\/7 = 0 for w.\nAnswer: -6, 1\/128, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (16 - 16) + -5 + 4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -40416 by -32.\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10*33\/(-110) - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from jjwjjjwjwjj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -141 (base 5) in base 9?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (137*s - 17*s**2 - 137*s)*(2*s - 47 + 47) to the form v*s**2 + y + z*s + b*s**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 44*q - 51*q + 126. Suppose -2*t + 26 = 3*r, r + 4*t - 3 - 9 = 0. What is the smallest common multiple of r and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -136915*l**3 - 100*l**2 - 56 wrt l.\nAnswer: -821490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -42.36 - -356.76. What is y rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -345 + 1041. Let y = 375 - s. Suppose 2*q = q - 5*r + y, 3*q - 467 = 4*r. What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2 + 0 = -z, 4*z = h + 2. Suppose 2*n = -z*n + 3*c + 135, -5*c = 5*n - 350. Is n less than or equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t + 1. Let n(x) = 7*x + 4. Let s(q) = -3*g(q) + n(q). Is 11 a factor of s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(66)*-2 - sqrt(66)) + sqrt(66) - sqrt(66))\/sqrt(6) + 2 + sqrt(891)*1)**2 - (-2*(2*sqrt(66))\/sqrt(6) + 5)*-4.\nAnswer: 56*sqrt(11) + 3588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 = -c + 228. Suppose -5*g - 258 - c = 0. What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 12, -6970 in increasing order.\nAnswer: -6970, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 3\/5 (b) 2\/9 (c) 19 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 0*k**4 + 0 + 0*k**5 + 33\/10*k**6 + 100*k - 9*k**2 + 0*k**3. Find the first derivative of w(s) wrt s.\nAnswer: 396*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u + 0*u - u)*(-u**2 - u**2 + 0*u**2 + (0 - 5 - 5)*(u**2 + u - u)) - 3*u**3 + 2*u**3 - 2*u**3.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.08234 and -608.\nAnswer: -50.06272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-29)*f\/(f**(1\/25)\/f) assuming f is positive.\nAnswer: f**(-676\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -45 + 45.25. Let b = 0.82 - n. Let g = 0.570241 - b. Round g to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 3*m = 32, 0 = -2*m - 0*m + 8. Let y be ((-3)\/2)\/((-7)\/14). Find g such that 3\/2*g**y + 0 + 0*g - 3\/2*g**5 + g**x - g**2 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2929, -11690, -26291, -46732, -73013?\nAnswer: -105134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2057 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of -s**3\/3 - 3*s**2\/2 + 6*s + 122. Let v(r) = 2*r**2 + 4*r - 7. Give 6*f(t) + 5*v(t).\nAnswer: 4*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -167*f*u**5 + 657*f*u**3 + 3*f*u - 57835*f wrt u.\nAnswer: -3340*f*u**3 + 3942*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 p, and 1 i when three letters picked without replacement from {p: 2, a: 1, i: 11, u: 2}?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(((24\/(-9))\/((-42)\/(-126)))\/(24\/12)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -5. Suppose -4 = -538*j + 536*j. Let k be (-8)\/5 + (-3 - j)\/(-5). Which is the fourth biggest value? (a) 0.1 (b) u (c) k (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 576854656?\nAnswer: 2, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6412601349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*v**2 - v**2 + 7*v**2 + (-2*v + 0*v + v)*(1 + 2*v - 1))*(-4*v + 0*v + v) to p + k*v**3 + r*v**2 + g*v and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -3*s**3 + 5*s**2 + 4*s - 34. Determine w(7).\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (-5 + -7 + 4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8672.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**2 - 2*o**2 + 2*o**2 - 7*o**3 + 8*o**3 + 2. Let c be d(0). Suppose 63 = c*w + 5*y, 5*w - 73 = 4*y + 35. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -2\/9, 5, 0.1, -13 in increasing order.\nAnswer: -13, -2\/9, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + 5 + (78 - 43).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15903*s + 15920*s - 459. Let r(h) be the second derivative of s*h + 0 - 7\/2*h**2 - 1\/6*h**3. Give r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.05 - -0.15. Let p = -335\/4 - -83. Is p <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1330*r - 24 = 1324*r + 4*f, -4*r - f + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 93975.57 nanoseconds?\nAnswer: 0.000000026104325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 9*y**2 - 8*y + 1. Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 131908 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 200 - 4?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1287 a factor of 1126112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssssslll. Give prob of sequence sll.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -94 (base 10) in base 7?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 3*j - 1 = 0, 4*f - 41 = -j - 2*j. Let y = 11 - f. Suppose -4*n + n - 14 = -5*o, 5*o - 24 = -2*n. Sort -5, y, o.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, 110, 5, 1 in descending order.\nAnswer: 110, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 + q. Let w(z) = -3*z - 3. Let l(k) = -o(k) + w(k). Let x be l(5). Suppose -195 = -x*m - m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 10*h**3 + 3*h**2 + 3*h - 61. Let n(o) = -20*o**3 - 6*o**2 - 5*o + 123. Let a(s) = 3*n(s) + 5*u(s). Find the first derivative of a(b) wrt b.\nAnswer: -30*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -54*-0.035.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.207 + 0.138. Let u = -0.06899804 - v. What is u rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 1788.\nAnswer: 5\/1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25 - 42. Suppose -8*y + 19 = 75. Let z = y - v. Solve 3*p - 5*o + z = -2, 2*o = -3*p + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 0*t = -t + 56, 5*t - 28 = -h. Calculate the remainder when 51 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 410513209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -326\/1257, -1\/2, 15?\nAnswer: -326\/1257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**3 - 1275*i**2 + 132225*i + 693375.\nAnswer: 3*(i - 215)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -6*l**2 + 8*l + 8. Let c(o) = 4*o**2 - 5*o - 5. Give 5*b(f) + 8*c(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 48*c + 125. Give r(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 4*l + 2. Let j be g(-2). What is the tens digit of (-12)\/j - 1*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 208 divide 2194400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the first derivative of -2*v**2 - 13*v + 1. Calculate the remainder when n(-11) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 - 174*t - 184. Is r(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*q - 3 - 2*q**2 + 15*q - 6 to o + v*q**2 + x*q and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 11*u**3 - 5*u**2 - 5*u + 7. Let c(k) = 161*k**3 + 213*k**3 - 362*k**3 + 6 - 4*k - 4*k**2. Calculate -5*c(a) + 4*r(a).\nAnswer: -16*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2177 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of -i**4\/12 + i**3\/6 - 4*i. Let c be n(7). Let r be (35\/c)\/((-4)\/3). Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -1\/5, 1\/6, 0.115, 4\/3 in ascending order.\nAnswer: -0.4, -1\/5, 0.115, 1\/6, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 - 53*i + 154. Let o be f(3). Solve -8*l = -o + 52 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.8? (a) 36\/5 (b) 0.1 (c) 7 (d) 362 (e) 5 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2*i**3 - 24*i**2 + 23*i + 49. Give w(-13).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ytk when three letters picked without replacement from bbtbrbkkyktkbbkbbk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 312 and 56940.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1505\/430)\/((-7)\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = i + 13966530 - 2316542, -2*i - 23300006 = 2*a. What is i rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(14)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -4*s**2 + 27*s - 3. Let c(u) = -3*u**2 + 18*u - 2. Give 7*c(b) - 5*n(b).\nAnswer: -b**2 - 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -24*q - 14. Suppose 3 = -t - 3*p - 0*p, -3*p = -5*t + 21. Let x(g) = 5*g + 3. Let j(o) = t*h(o) + 14*x(o). Let n(z) = -8 + 8 + 2*z. What is j(n(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -483 = 107*t - 3800 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 188093543?\nAnswer: 11, 1613, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11528, -11548, -11596, -11684, -11824, -12028, -12308?\nAnswer: -12676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5*8\/(-20))\/(358\/(-2327)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k + 2*k - 6*k)*((k**2 - 4*k + 4*k)*(-k + 2*k + 0*k) - 111 + 111 + 26*k**3).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 36869290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3b (base 14) in base 10?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -44 - -36.5. Let o = 8 + d. Let v = -0.13 + -0.87. Sort v, -7, o.\nAnswer: -7, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 110957 and 525?\nAnswer: 8321775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -214884347*n**5 - 327320027*n.\nAnswer: -4297686940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 5*h = 2*n + 23, -2*h - 14 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 377 divided by -342693.\nAnswer: -1\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -24877 + 1287028973\nAnswer: 1287004096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-3 + (sqrt(1700) + 5)**2 + 3)*2 + -4.\nAnswer: -3454 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 - 23*l**2 - l - 9. Let b be d(-23). Suppose -3 = 15*s - b*s. Let w be (-6)\/(s - -1) + 5 + -338. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -12*l - 77. Let s be j(-7). Let f be 0*((-60)\/9 + s). Put -6, 5, 3, f in increasing order.\nAnswer: -6, f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -185*d**2*i**2 - 393*i**2 wrt d.\nAnswer: -370*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8990 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 179013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 668\/17*d + 2\/17*d**2 + 55778\/17.\nAnswer: 2*(d + 167)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83391345 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 28*r - 1155. Determine w(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -4*q + 3. Let p(d) = -d**3 - 9*d**2 + 9*d - 7. Let g be p(-10). Suppose -2*t + 32 = -3*o, 2*o - 7*o = 10. Solve t = -g*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-13 - -23) + (2 - 12). Solve v = 2*n - 8*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.33 + -15.67. Let y = 98 + -115.9. Let x = m - y. Which is the biggest value? (a) 2\/7 (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9\/15*6\/(-9). Which is the closest to 0.1? (a) 3 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.588195 millennia in months?\nAnswer: 103058.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -a**2\/6 - 3*a + 19\/6 = 0. What is a?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 6*i**2 + 3*i - 6. Let m be ((-8)\/32*12)\/((-1)\/(-2)). Let o(j) = -7*j**2 - 4*j + 6. Determine m*p(y) - 5*o(y).\nAnswer: -y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.04, 39\/5 in decreasing order.\nAnswer: 39\/5, 5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 75 = -0*q. Let g be 9\/12 - (0 + q\/20). Solve -g*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 26350 and 15810?\nAnswer: 79050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/17? (a) 5 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 27 and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the second derivative of -55*s**8\/28 + 17*s**4\/12 - s**2 - 94*s. Find the third derivative of y(x) wrt x.\nAnswer: -13200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in fifty-one quarters of a week?\nAnswer: 2142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 233*o**5 - 4*o**4 + 23217*o**3 + 286*o**2 - 183177 wrt o.\nAnswer: 13980*o**2 - 96*o + 139302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 39170*z + 1057687. What is t(-27)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from {o: 13, g: 3, r: 2}?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 10*w + 3*w - w**3 + 2*w - 7 - 15*w**2. Let i be 30\/6*1 - 21. Does 9 divide x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16 - -28. Let w(s) = -12*s + s**2 + q*s. Let o(i) = -4*i**2 + 2*i**2 + 6*i**2. Calculate o(w(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 AM and 7:47 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((3*17\/(-136))\/(54\/8))\/((-2)\/16).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**2\/3 + 70*t\/3 - 120.\nAnswer: 5*(t - 4)*(t + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(1100) + sqrt(11) + (sqrt(11) - 6*sqrt(22)\/sqrt(2)))**2 - (0 + sqrt(396) + sqrt(11) + sqrt(1331) + -1))*-3 + -2.\nAnswer: -6473 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -62 + -4401?\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -13377 divided by 15894?\nAnswer: -4459\/5298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x - 4*v + 45, 0 = -x - 5*v + 12 + 18. Let b(t) = 9*t**2 - 12*t + 1. Let z(s) = -4*s**2 + 6*s - 1. Let n(q) = -3*b(q) - 7*z(q). What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**3 + 3340*h**2 - 16784*h + 13440.\nAnswer: 4*(h - 4)*(h - 1)*(h + 840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50007.27841 + -50007. Round g to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 19761346*v - 88066621.\nAnswer: 19761346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 - m - 1. Let s(k) = 2*k**3 + 2*k**2 + k. Let p be s(-1). What is z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*7\/(-112) - 6\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 10 + 3*b**2 + 8 + 29.\nAnswer: 3*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2660 divided by -380.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 6*h. Let n be (8\/16)\/((-1)\/2). What is i(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 323 and 275689.\nAnswer: 89047547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 r when three letters picked without replacement from frgbg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25094136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 + -9. Let c(o) = -2 + 3 - q - o**2. Let l(u) = 5*u. Give l(c(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -24*c + 511. What is the lowest common multiple of a(21) and 97?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.13 from 3011794.\nAnswer: 3011794.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -13*h + 7. Let d(c) = -2*c. Give d(w(z)).\nAnswer: 26*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 + 5*x**2 - 6*x + 4. Let u be (-4 - -3)*2*3. Let g be a(u). Suppose 78 = -p + g*p. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6 + -2 + 1*-3. Let g be (h - 2)\/((-5)\/(-935)). Let v = -113 - g. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2*v + 1. Let x(q) = -q**3 + 7*q**2 - 7*q. Let t be x(6). Calculate the remainder when 38 is divided by z(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 23662931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -908*w + 1629 = -905*w. Calculate the remainder when w is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-8)*l**11\/l*l)**(-39) assuming l is positive.\nAnswer: l**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 22*w + 4. Let t be q(7). Let p = t + -100. What is the remainder when p is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 + 6*p**2 + 4. Let v be f(-6). Suppose -3*q = -g - 0*g - 13, 0 = -v*g - 3*q + 23. Solve -l = -2*s + 8, -18 = 4*l - 4*s + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -2*h + 75. Solve -3*y + 3*j = 6, -2*j - h = 4*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-7 - -3)*935\/(-20) is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -19*s**6 + 3*s**5 + 3*s**4 + 10*s**2 - 3. Let g(c) = -c**5 - c**4 - c**2 + 1. Let t(a) = 3*g(a) + j(a). Find the third derivative of t(i) wrt i.\nAnswer: -2280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l - 2. Let m be w(-2). Suppose -4*d + r = -m + 4, d + 4*r = -1. Does 2 divide 3 + d + 0 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 5*f = 9, -5*c = -2*c + 5*f + 13. What are the prime factors of c*(-48 - 2\/(-1))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 368965321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 15, 2*p - 17 = 2*g - 3*g. Let b(x) = -x**3 + 7*x**2 - 5*x - 1. Let f be b(p). Solve -d + f*v = 0, -4*v + 18 = -4*d - 2*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-7)\/((-1 - (-39)\/(-77)) + (-1808)\/(-4972))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (24\/78)\/(2\/13). Solve 3*t + 5 = -5*i, -3*i - t + l*t = -11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**2 - 180995*s + 65929040.\nAnswer: 5*(s - 35831)*(s - 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (5\/(270\/72))\/24\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(26)\/(sqrt(2)*2) - (sqrt(52) + -2))**2.\nAnswer: -6*sqrt(13) + 133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 77826.11029 - -0.2.\nAnswer: 77826.31029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 4*u = -0*u. Suppose u = -6*m + 16*m - 780. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 + p - 38. Let q be x(-7). Let h(d) = d**2 - 4. What is h(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 37 - 22. Calculate the remainder when 52 + (-10252)\/198 + (-1022)\/(-18) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/12*-4)\/((-1)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -616*t**2. Let w(z) = 3*z - 208. Let m(k) = k - 52. Let q(v) = -12*m(v) + 3*w(v). Give p(q(l)).\nAnswer: -5544*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 9:36 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5067380 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -107\/48, -32.\nAnswer: -32, -107\/48, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -89 - -125. Let o = 40 - t. Suppose r - 25 = -o*r. Solve -r*z + 7*z = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sssssosocsssssossc. Give prob of sequence cc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8.5446 + 8.59. Sort 5, q, 0.5 in increasing order.\nAnswer: q, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (729\/(-27))\/((-693)\/42).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341*t + 578*t - 5*t**2 - 44*t**2 - 237*t.\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -62.254 from -6637046949.\nAnswer: -6637046886.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4\/6027 + 11986\/102459. Factor 6\/17*h**2 + 2\/17*h**3 + 6\/17*h + w.\nAnswer: 2*(h + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 109777716 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -445 = -3*m + 866. Let k = m + -416. What is the highest common divisor of 567 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v**3\/5 - 2966*v**2\/5 + 35484*v\/5 - 106344\/5 = 0. What is v?\nAnswer: 6, 2954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (360\/(-126))\/(92\/322)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 483119.9ml to litres.\nAnswer: 483.1199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - v = 0. Let s = 2 - v. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11602, -48039, -108768, -193789, -303102, -436707?\nAnswer: -594604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15804 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v + 1. Let c(z) = -z. Let x(q) = c(q) - 3*d(q). Let j = -11512 - -11508. Let n(k) = 1. Give j*n(u) - x(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**4 - 8*k**3 + 4*k**2 + 8*k.\nAnswer: -4*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 + (-1 - 2) + -2. Let f = o - -5. What is the nearest to f in 4, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -3. Let w = -14 + 14. Put w, v, -5 in ascending order.\nAnswer: -5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirty-seven fifths of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-51)\/28 + 2 - 1 and 65\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(252\/(-91)))\/((-3)\/12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - r - 5 = 0, -3*p + 5*r + 3 = -22. Let j = 61 - 70. Let u = 11 + j. What is the closest to -7 in p, u, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12899?\nAnswer: 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -9.43901506 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q\/q**4*q)\/q)\/(q*q*(q**(2\/17)\/q)\/q)*q**14*q**(-7) assuming q is positive.\nAnswer: q**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 965410021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -27303, -37345, -54089, -77541, -107707, -144593, -188205, -238549?\n\"Answer: -r**3 - 3345*r**2 - 23957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3047 and 1815.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -30, -58, -134, -282, -526, -890, -1398, -2074?\n\"Answer: -4*w**3 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 2 - 1)*(-1 + m + 1) - 2 + 2 - m - 3*m + 4*m - 2*m + 3 - 3 - m + (-2 + 5 - 4)*(4*m + m - 3*m))*(-1400 - 61*m + 1400).\nAnswer: 244*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -110201 - 8?\nAnswer: -110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8 - 2 - -2 - (-15 - -13). Solve -y*l + 11*l - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9320266.\nAnswer: 2, 4660133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**5\/s)\/((s\/(s**(-7)*s))\/s*s))\/(s**(-2\/5))**(-41) assuming s is positive.\nAnswer: s**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**3 + 17*s**2 - 12*s - 1. Let c = -15 + 15. Let x be 1 + -3 - c - 14. Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 636\/5 + -128. Calculate the common denominator of ((-6)\/16)\/((-4)\/(-216)) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35903 and 822647?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.208437553 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 21 (b) 15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 96 and 139632?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {d: 2, v: 8, k: 2, g: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -35*k**2 + 52*k + 26. Let c(s) = -8*s**2 + 12*s + 6. Let t(u) = -13*c(u) + 3*f(u). Let b(w) = -12088*w. Determine t(b(l)).\nAnswer: -146119744*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 30\/(-165) - ((-28)\/(-70) + (-614)\/110). Suppose -3*k + 0 = -2*u - 8, 0 = k + 4*u + 16. Solve k*o = d*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -58, -68, -100, -166, -278, -448?\n\"Answer: -2*h**3 + h**2 + h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 453*o - 438*o - 195 + 15 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from spckpkfkcdccc. Give prob of sequence cs.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2 + 21 = 0. Suppose -6 = -2*n + l + f, 5*n - 95 = -5*l. Let z(g) = g**2 - 15*g - 9. Let q be z(n). Solve -5*d + 3 = -q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of -a**4\/14 + 8*a**3\/21 + 11*a**2\/7 + 12*a\/7 - 122. Determine r so that q(r) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/(-18) - (-20516)\/(-80280))\/((-1)\/((-2)\/6)). Factor -108\/5*g - d*g**4 + 27\/5*g**2 + 0*g**3 + 243\/10.\nAnswer: -(g - 3)**3*(g + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - -4)\/(-6 + 9). Let i = s + -4. Let j(u) = 5*u**2 - 1. Let k be j(1). Sort k, -1, i in ascending order.\nAnswer: i, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g - g - 90 + 95)*((19 - g - 19)*(-g + 3*g - g) + 0 - 2*g**2 + 0).\nAnswer: 3*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**16)\/d*d*d**(-23)*d)\/(d**(-6\/19)*d*d**(2\/67)*d*d))**(-2\/17) assuming d is positive.\nAnswer: d**(19640\/21641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 9183741*p. Let g(h) = 2*h**2. What is g(c(z))?\nAnswer: 168682197510162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21) + sqrt(126)\/(3*sqrt(6)) + -4*sqrt(336))\/(sqrt(30)\/((sqrt(10) - sqrt(10)*-4) + sqrt(10)) + -6*sqrt(75)).\nAnswer: 88*sqrt(7)\/179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 1909*m - 55352. Calculate v(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 79573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24209 - 24209.4. What is the closest to -0.04 in 2, h, 1\/211, 1?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t**2 - 145*t + 600 = 0. Calculate t.\nAnswer: 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1249.33044615 less than 1.4?\nAnswer: -1247.93044615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 3*b**2 - 6*b + 7. Let g = -584 - -587. Calculate u(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2647 divided by -217?\nAnswer: 2647\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 9*d + 96 - 100)*(5 + 2 - 3).\nAnswer: -32*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -11. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2744 and 7056?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of w**4*x - 6*w**4 - 4*w**3*x + 4*w**3 - w**2 - 2067*w*x + w wrt w?\nAnswer: 24*w*x - 144*w - 24*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45516451?\nAnswer: 227, 200513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3965097*w - 15*w**6 + 3965097*w - 297*w**2 - 1655*w**6 + 3 wrt w.\nAnswer: -200400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.03 and 38959892684836.\nAnswer: 38959892684836.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 - 5*t**2 + 7*t - 9. Suppose -2*u = -u - 30. Suppose -16*i = -11*i - u. Is s(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/4*1*6\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 40 - 22. Suppose w + 5*h - g = h, 90 = 5*w - 3*h. What are the prime factors of w - 12\/(-4 - -7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n**36*n)\/n)\/(n*n**(2\/13))*n**(-2\/13)*n*n*n**(-4\/23)*n assuming n is positive.\nAnswer: n**(11816\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**21*r)**(-21) assuming r is positive.\nAnswer: r**(-483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 78.310448 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1582785 and 3825.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 526 bigger than 524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 6, 324 = -3*b + 2*b + 5*k. Let z be ((1 + b)\/(-2))\/((-7)\/(-14)). Let j(i) = -306 + 3*i - 4*i + z. What is j(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39545*t + 3450 = 39560*t. What is the greatest common factor of t and 2116?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1532 times -0.042\nAnswer: -64.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23 and 392455417?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13913484.946500734 + 13913485. Let p = g - 0.0535. Round p to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7718 - 19499 = -561*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1*4*(-5)\/10. Suppose j - 3 = -0*j. Factor w**j + 5 - 4 - 3*w**2 + v*w**2 + 3*w - 4*w.\nAnswer: (w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3145*x + 1862*x**2 - 4 - 920*x**2 - 941*x**2 as n + k*x**2 + f*x and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 - 5*m - 4. Let y be r(6). Let t = y + 6. Calculate the smallest common multiple of 20 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 512\/1323 or 0?\nAnswer: 512\/1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -163, -4, -559 in descending order.\nAnswer: 15, -4, -163, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 + -6. Suppose 4 = n*w + 6. Let v = 171 + -1541\/9. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -70\/416601 and 37\/246?\nAnswer: 833202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00013768 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(304) + (sqrt(304)*2 - sqrt(304)))**2 + 3 - sqrt(304)) + (sqrt(209)\/(sqrt(11)*2) - (1 + (sqrt(76)\/sqrt(4) - sqrt(19)))).\nAnswer: -7*sqrt(19)\/2 + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 479 + -479. Suppose x = -3*u - 5 - 1. Sort 12, -8, u.\nAnswer: -8, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000008268879 to 7 dps.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 + 11. Suppose -3 = -3*o - 0, 1 = 2*v - 5*o. Let j be r(v). Find the third derivative of 28*b**4 - 27*b**j + 31*b**4 - 39*b**4 wrt b.\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 55321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 3\/1051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjkjkkkkkkckjkjjc. Give prob of sequence jk.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -5*i, 2*w + 15 = 5*i + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9\/15 - ((-367)\/105 + 4). Let s(w) = -w**3 + 2*w**2 - 1. Let h be s(2). Which is greater: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -685? (a) -5 (b) -0.4 (c) -60.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -257, -265, -273, -281, -289, -297?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130435 - 22365 = -8*m. Round m to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 5. Let l = u + -17. Is l less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 953128\/3 or 317710?\nAnswer: 317710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 77*z**2 + 4*z + 1. Let r be u(-1). Suppose -7*w = 74 - r. Solve -n + c - 4 = 0, 2*n + 2*c - 6 - 2 = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lt when two letters picked without replacement from {t: 1, l: 3, w: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 2005*i + 583433. Determine n(-291).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + -4 + 3 + -4 - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 885 and 672895?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 206429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 6*d + 4. Put 0, d, -2 in increasing order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (43*s - 43*s + 11*s**4)*(3 - 4 + 6) + 0*s**4 - 1 + s**4 - 2*s**4.\nAnswer: 54*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-66)\/48)\/(10\/80))\/((-2)\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -12.280648?\nAnswer: 1.2280648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 5*d - 2. Let y(h) = -4*h + 2. Suppose -2*p = -3*b + 22, 4*b - b + 2*p - 2 = 0. Calculate b*y(a) + 3*x(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 44*b**2 + 92*b**2 - 153*b**2 - 84*b + (5*b + 0*b - 4*b)*(3 - 3 + b) + 3 - 3 + b**2.\nAnswer: -15*b**2 - 84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -3*y + 19 + 19, y = -3*t + 22. Let z = y + -12. Suppose d = 0, -z*g - 4*d = -5*g + 10. What is the remainder when 57 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*g + 18 = -22*g. Solve -2 = -g*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 161.3 and 7?\nAnswer: 154.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 11*d + 1650. What is q(-151)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 16*c**2 - 4*c + 5. Let m(t) = t**2 + t - 1. Let s(v) = -l(v) - 4*m(v). Let p(f) = -38*f - 42*f + 79*f. Determine p(s(g)).\nAnswer: 20*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*h - 82*h**2 + 4*h**3 - 29*h - 4 + 14*h - 131*h**2.\nAnswer: 4*h**3 - 213*h**2 + 6*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ujz when three letters picked without replacement from jvzjvveevevzuujev.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -36 + 83. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16 + -1 - (580 + -566)) + (-2 - (-3 + -3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19666347, -78665366, -176997063, -314661438, -491658491, -707988222, -963650631?\nAnswer: -1258645718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 72 - 17 = 0. Suppose -22*d + 36 = -18*d. Suppose -n*b + 326 = -d*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**4)**44)**(2\/17)*i**(2\/13)*i**(-7)*(i*i**(-2\/3))**(-36) assuming i is positive.\nAnswer: i**(1555\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-28)*154\/264.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 210 and 28.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -48, 5, 2\/7, 33, 0, 3?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 127, 166, 267, 460, 775?\nAnswer: 1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-4\/13)\/(r**2\/r) assuming r is positive.\nAnswer: r**(-17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 7*r - 75. Let l(k) = 3*k - 38. Let m(q) = -4*h(q) + 9*l(q). Suppose 6 = 161*c + 6. Determine m(c).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of 12*l**5\/5 - 3*l**4 - 3*l**3 + 3*l**2 + 3*l - 4. Factor h(x).\nAnswer: 3*(x - 1)**2*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the second derivative of 29*v**4\/12 + v**3\/3 - v**2\/2 + v. What are the prime factors of n(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (84*25\/750)\/((-2)\/(-10)*-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -2\/5 (c) -28328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27.21 or -5?\nAnswer: -27.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0\/1)\/((-12 - -16)\/2). Solve 30*a + 24 - 114 = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + y = 380, 4*s + 5*y - 368 = 3*s. Suppose -4*n - 668 - 372 = -5*u, -2*u - 5*n = -s. Calculate the smallest common multiple of u and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(539)*-1 + sqrt(539))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -722894.\nAnswer: 3\/722894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-36)\/42*(-84)\/96)\/(15\/8). Which is the nearest to t? (a) -3\/2 (b) -6 (c) 2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 + -15. Sort -3, k, 0.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -101 (base 3) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (1*-9*1)\/((-634)\/(-634))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 354395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2805963929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -260*g**2 - 348*g + 38. Calculate t(-2).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - c + 0 + (-2*c + 0*c - 2*c)*(0 + 0 + 1))*(0*c**2 - 2*c**2 + c**2) to m*c + i*c**2 + y + u*c**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 3 = z, -z - 2*z - 9 = 2*u. Let n be 11 + -8 + 2 + z + 65. Suppose 14*w - n - 241 = 0. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 75.1 + -75. Which is the second biggest value? (a) 0.2 (b) 14 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7*16\/1288 - (-67)\/23. Solve 5*i - i = 5*d - 1, 5*d = -k*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m + 12*m = 51. What is the first derivative of 2*i + 12*i + 11*i - m + 13 wrt i?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 13*x**2 + 2*x + 1. Suppose 3*m = 5*m. Let j be m - -3*3\/(-9). What is the tens digit of o(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**1\/f*f**2*f*f**(-1\/5)*f**(-10) assuming f is positive.\nAnswer: f**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -11. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 72 (base 14) to base 15.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -s**3 - 503107*s**2 + 1509340*s + 5031100 = 0.\nAnswer: -503110, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 9453623 to the power of 1\/2, to the nearest integer?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 7 = -9. Calculate the common denominator of 49\/6 and ((-66)\/(-16))\/(6\/n).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/9154341 and 82\/609?\nAnswer: 265475889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 297, 5, 2, 10, -5, 3 in ascending order.\nAnswer: -6, -5, 2, 3, 5, 10, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-29)\/35 - (-24)\/56. Is z < -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bzzb when four letters picked without replacement from bzbzb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m - m - m)*(2*m**3 - 2*m**3 - 3*m**4).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 less than or equal to -2\/8759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40 + -27 - ((0 - (-4 + -1)) + -12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33*f**3*j*w**3 - 4*f**3*w**3 + 3*f**3 - f*j*w**2 - 35*j*w wrt w?\nAnswer: -198*f**3*j - 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -j**4 - 6*j**2*p + 14*j**2 + 19*p + 10 wrt j.\nAnswer: -4*j**3 - 12*j*p + 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 36623445 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 833 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**2 + 4*a**2 - 3*a**2)*(-2*a**3 + 0*a**3 - 4*a**3) + 3*a**5 - 2*a**5 + 6*a + 10*a.\nAnswer: 7*a**5 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i\/(i\/i**(-1\/7)*i)*i**(3\/7)*i assuming i is positive.\nAnswer: i**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 63272815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 + -4)*40\/24. Let c be ((-2)\/(-5))\/(1\/(-10)). Let n(m) be the third derivative of -m**4\/12 - m**3 - m**2. Let p(g) = 2*g + 7. Give b*n(a) + c*p(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 471.8541 years in decades?\nAnswer: 47.18541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 PM and 10:04 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u**2 + 1894*u - 5687. Calculate o(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*i = -114 - 16. Let q(x) = -14*x - 147. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1275872 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 103*i**3 - 13*i**2 - 26*i - 7. Let n(a) = -51*a**3 + 7*a**2 + 15*a + 4. Calculate 4*c(r) + 7*n(r).\nAnswer: 55*r**3 - 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(68)\/sqrt(4) + -1) + (sqrt(612) + -2)*2)**2.\nAnswer: -306*sqrt(17) + 4994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.004 - -1.996. Let c be (-4)\/(-18) + 16\/9. Suppose -5*j + 2*a - 13 = 0, -c*a - 3*a + 21 = -j. Is j at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5822 + 5827. Solve s - o - 2 = 0, z*o = 2*s - 9 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q**(-1\/2)*q**(-22)\/q*q*q assuming q is positive.\nAnswer: q**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 254489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1907 + -1823. What is the greatest common divisor of 112 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-38)\/(-133))\/((11\/99)\/(4\/3)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 920*z - 2040. Does 179 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 122 + 0.8536915?\nAnswer: 122.8536915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82222462.\nAnswer: 2, 7, 19, 309107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-10)\/(-20))\/((-1)\/(-8)). Let b(y) = y**2 + 4 - g. Let v(z) = -8*z**2. Calculate b(v(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80560 and 8819200.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ima. What is prob of sequence ai?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7683 - -15506. Suppose -11*c = -t - 471. What are the prime factors of c?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11 + 7 + 5 + 2*i**2 + 0*i**2 to o*i**2 + p*i + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 51, -18 in ascending order.\nAnswer: -18, -1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-3)*-4*(-4)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2879425, 11517713, 25914863, 46070875?\nAnswer: 71985749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 5*i + 5 = 0, 2*i + 37 - 31 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 46d (base 14) to base 11.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -3*c**2 - 390*c + 393 = 0.\nAnswer: -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 36\/(-16) - (1 - 5). Let v be (-7)\/4 + 1 + 1. Suppose 4*s = -5*g + 32, 86 = 4*g + 70. Which is the smallest value? (a) s (b) v (c) -2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i. Let c be -5 - -8 - (0 + 1). Let u(a) = -3*a + 0*a + 25*a. Let h(n) = n. Let w(o) = c*u(o) - 22*h(o). Calculate w(b(x)).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17 + -11. Let q = -6.8 - 0.2. Let v = g + q. Which is the second smallest value? (a) v (b) -25 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, s: 7, y: 2, n: 4, z: 1}. Give prob of sequence yn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -1459.8 * 6102.\nAnswer: -8907699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p - 7. Let f be 18*3\/18*2. Let k = -3 + f. What is d(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d**5 + 5674*d**3 - 1514*d**2 + 1 wrt d?\nAnswer: 120*d**2 + 34044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of z**6\/180 - 5*z**3\/6 - 4*z. Let b(j) be the second derivative of h(j). Let t(y) = 2*y**2. Give b(t(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 - 19*g**2 + 46*g + 44. Let x(k) = k**3 + 10*k**2 + 11*k + 11. Calculate the remainder when x(-7) is divided by q(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l - 3. Let u be i(5). Let t(q) = 22*q**2 - 461*q - 21. Let g be t(21). Solve 0 = -5*h + u*m - g + 7, -8 = 4*h - 5*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*3\/(-35)*(-21 + (-23 - 343\/(-7)))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 564 + -318. Let y = f - 245.99999738. Round y to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose h - 3 = -s - s, -4*h + 5 = s. Let n be ((-6)\/8)\/(s\/4). Let f be 19\/2 - n\/6. Solve -2*q = -5*m + q + 25, 2*q = -f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 + 10*s**2 + 10*s - 7. Determine i(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10540169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 721.0467 meters?\nAnswer: 72104.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 158.26 + -158.37. Which is the closest to 2? (a) 282 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 5:30 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 2\/5, -0.5, -4\/17, 4.8, 7\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1468*i**3*q*s**2 + 2*i**3*s**2 + 454*i**3 + 3*i**2*s**2 + 51*i*q*s**2 - 49*i*q*s + 32*s**2 + 10 wrt i.\nAnswer: 8808*q*s**2 + 12*s**2 + 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1936994 rounded to the nearest 10000?\nAnswer: -1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*v - 42. Sort v, -13, 1 in ascending order.\nAnswer: -13, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28411\/9 - -3163. Let p be (1 - (2 - 2)) + -7. Calculate the common denominator of u and 9\/p - (-309)\/66.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -14 + 76\/4 - (-37531 - 1).\nAnswer: 37537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 787771703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add 33.601544066 and -0.3.\nAnswer: 33.301544066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -3\/4, -1\/2, -0.1363, -2\/9, -0.4?\nAnswer: -0.1363","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l - 2. Let s be j(3). Let m = 17789 + -17786. Suppose 4*q = 13 + m, -5*z - s*q = -176. What is the remainder when z is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -949*m**5 - 931*m**2 wrt m?\nAnswer: -56940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11770*b**3*l - 17*b*l + 3*b - 3*l + 7 wrt b.\nAnswer: -70620*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 - 8. Let g = -15.937 - 0.063. Let v = g + z. Which is the smallest value? (a) v (b) -0.04 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 362772828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 884*t - 119. Let z(x) = 17*x + 10. Let a(b) = b + 6. Let m(p) = -2*a(p) + z(p). What is 2*h(l) - 119*m(l)?\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s**2 + 45. Let j(h) = -2*h**2. Determine j(x(y)).\nAnswer: -32*y**4 - 720*y**2 - 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 104 + -76. What are the prime factors of (-4)\/p - 5430\/(-35)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*f + f + 137 = 0, 5*n - f = 741. Let j = 343 - n. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 + 3*z**2 - 29. Let l be h(5). What is the greatest common factor of l and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 3*j + 9. Let h be c(-4). Put 4, -29, 1, h in ascending order.\nAnswer: -29, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2554*b*q**4 + 841374*b + 47*q**2 with respect to q.\nAnswer: 10216*b*q**3 + 94*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -7*q + 17*q + 9*q as j + u*q and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*x + 91 = -26*x. Suppose 0 = -x*j - 21*j. Determine t, given that -3\/2*t**2 + 0*t + j = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -33\/8 (c) -0.2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -5\/4*i**3 - 55\/4*i**2 - 40*i - 35 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 - n + 1. Let j(v) = -3*v**3 - 2*v**2 - 2*v + 2. What is -3*j(l) + 6*q(l)?\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, r: 4, o: 7, k: 4}. What is prob of sequence oko?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*s**2 + 7*s**3 + 44*s**2 + 1694 - 1694.\nAnswer: 7*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 12 = -3. Suppose -14 = 4*z - u*z + 4*m, 5*m + 26 = 3*z. Factor 4\/7 + 1\/7*x**4 + 13\/7*x**z - 6\/7*x**3 - 12\/7*x.\nAnswer: (x - 2)**2*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 163 + -168. Let j(x) = -x**3 - x**2 + 22*x + 11. Let l be j(i). Solve -3*z - 2*z - 13 = -2*r, -l = r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22912183.\nAnswer: 7, 3273169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11 or 2393\/228?\nAnswer: 2393\/228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be 84\/(-147) - (-3 - (-11)\/(-7)). Suppose x - 3161 = -3*m, -x - z*x + 4200 = 4*m. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1358 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.6 (c) -2361\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 8*w**2 + 3*w - 14. Let k be x(-5). Suppose 221 + k = 8*f. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -44 + 11. Let k be -1 + -4 + (-319)\/f. Let r = -31 - -29. Which is the smallest value? (a) k (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9903719.\nAnswer: 7, 71, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve f = 33*k - 34*k - 3, -3*k - 7 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72 + 173972*l + 72.\nAnswer: 173972*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 PM and 6:18 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 5445 divide 1529266205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -108 + 111. Solve x*i = -i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17056, 17180, 17376, 17638, 17960, 18336?\nAnswer: 18760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27)*2*-5*6)\/(sqrt(27)\/(sqrt(12) + sqrt(3)) + sqrt(54)\/sqrt(24)).\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 10*m**2 - 8*m - 3. Let v(i) = -i**2 + i. What is -q(w) - 6*v(w)?\nAnswer: -4*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 23*o - 3 = -22*o, 0 = 5*p + o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9766 rounded to two decimal places?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 19654, 19649, 19640, 19627, 19610?\n\"Answer: -2*c**2 + c + 19655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.3623 + 0.1623. Let p = 53 - 53. Sort -8\/5, p, 0.1, f.\nAnswer: -8\/5, f, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 655284 and 5918?\nAnswer: 7208124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 175029436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1f3c6 + -9?\nAnswer: -1f3cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6 + (-16)\/2 + 4. Suppose c + 3*f - 26 = -j*f, -2*c = -2*f - 4. Solve -10*w = -c*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-14 + 1 + 18) - (-1 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7380059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-3\/7)\/(t\/t**(-1\/29)))\/(t\/(t*t**(-1\/18))*t\/(t*t**(-16))) assuming t is positive.\nAnswer: t**(-64013\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -5.6. Let v = 7 - 7. Which is the closest to 2\/3? (a) v (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*j**3 - 60*j**3 - 66*j**3.\nAnswer: -105*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 47270796 divided by 513813\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*z - 0, -4*d - 5*z + 32 = 0. Suppose -d*c + 4*c = 0. Suppose 3*a - 81 = -4*h + 41, -5*h - 2*a + 156 = c. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 12*u + 112. Determine w(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13312 divided by 18132.\nAnswer: -3328\/4533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -35 - -27. Is (q\/6)\/((-13)\/1170) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.4 - -6. Let d be (4\/8)\/((-3)\/(8 - 2)). Let v be d\/(-5)*((-50)\/(-18))\/(-5). Sort v, 0.1, p, 2.\nAnswer: p, v, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 530231 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 - 617*x - 4832. What is p(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 + -10. Suppose -2*t - 19 = -s. Find q such that 2\/5*q + 0 - 1\/5*q**t = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = x - o + 65, 5*x = 4*o + 307. Let f be 2\/((-2)\/(-2)) + 0. Suppose -g = j - 3, 0 = -f*j + j - 4. What is the highest common factor of x and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 76.01 + -75. Let h = -1.11 + v. Is h less than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 350434869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 1)*(15*g**2 - 27 + 27).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s + 40. Calculate d(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 1367*x**3 + 11*x**2 + 1294*x - 11. Let w(z) = 273*z**3 + 2*z**2 + 259*z - 2. Let o(y) = -4*c(y) + 22*w(y). Find the second derivative of o(g) wrt g.\nAnswer: 3228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 - 13*j + 16. Let o be r(-14). Suppose -x = o*g - 6, -4*x = -5*x + 4*g. Let s(l) = -l**2 + 2*l - 2. Calculate s(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.5 (c) 2 (d) 454\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, m: 4, v: 4, b: 5}. What is prob of sequence fb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 214849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -36.41 times -0.11?\nAnswer: 4.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 9. Let i = 210578\/91 + -30090\/13. Which is the nearest to -1.1? (a) 1\/6 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 10*t**4 + 5*t**3 + 5*t**2 + 11. Let v(x) = 5*x**4 + 3*x**3 + 3*x**2 + 6. Let u(r) = -3*k(r) + 5*v(r). Find the first derivative of u(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26149061.\nAnswer: 47, 271, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 + -5. Is 2 - (1*t\/1 + -1010) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12813 + 13564.7. Let o = 832 - d. What is o rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54843, -54740, -54631, -54516, -54395, -54268?\nAnswer: -54135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 44 - 26. Let h(o) = 23*o**2 - 3*o. Let l be h(3). Calculate the greatest common factor of s and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93818779 to the nearest integer?\nAnswer: 9686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 3*z - 54. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b + 5. Let d(t) = -2*t**2 + t - 1. Let p be d(1). Let m = p + 7. Let y be v(m). Solve 7*j - 2*j = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202512830 a multiple of 5030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -1\/22*l**4 - 5 + 0*l - 2\/33*l**3 + 1\/11*l**2 + 2\/55*l**5. Find r, given that a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1625661467 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (9 - -19)\/(2 + (-12)\/7). Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -309.9 - -1.60866863?\nAnswer: -308.29133137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 - 10*u**2 + 7*u + 23. What is the units digit of o(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**4\/5 - 88*j**3\/5 - 144*j**2 - 2592*j\/5 - 3456\/5.\nAnswer: -4*(j + 4)*(j + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -12, 5 in increasing order.\nAnswer: -14, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 8.051475 to one decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/473299 and -35\/5368.\nAnswer: 41650312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - l - 54. Let d be (-4)\/l - (-80)\/45. Solve -4*j + 5*j - 3*o = 9, -26 = d*j + 5*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -25 (base 6) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/20 and -145\/192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 124.9 - 124.6. Put r, -2\/5, -4\/13 in decreasing order.\nAnswer: r, -4\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 0.162 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 11724568199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-23 - -23)\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*a - 129 = -11 + 575 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 22 = -4*f, 2*z + 13 - 17 = 0. Solve -f*u - 4 = -g + 4, -3*g - 2 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514516342 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 84 + -82. Let f(c) be the third derivative of 1\/240*c**5 - 2*c**b + 1\/32*c**4 + 0 + 1\/12*c**3 + 0*c. Factor f(g).\nAnswer: (g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 + 9. Which is the nearest to -1? (a) 3 (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(588)\/sqrt(6) + (sqrt(98) - sqrt(98)*-3 - sqrt(98)))**2*5.\nAnswer: 7840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 4905, 4920, 4957, 5028, 5145, 5320, 5565?\n\"Answer: 2*s**3 - s**2 + 4*s + 4900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 2 = 5. Suppose -5*j = -5*v - 165, v + 2*j - 7*j + 45 = 0. Let m be (v\/13)\/(-2) - 1. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -4*o - 17. Let p be d(-8). Let l be (6\/p)\/((-4)\/(-20)). Suppose 3*j - 5*z = l*j + 4, -2*z = 0. What is the lowest common multiple of j and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*x = -3*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3381465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 11, c: 1}. What is prob of picking 2 b?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -61432 plus 25?\nAnswer: -61407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8395 = -64*n + 59*n. List the prime factors of n.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/5)\/(6\/(-15)). Let r be -2 - -4 - (g - 3). Suppose 0*m = s + 4*m - 4, r*m = -2*s + 3. Solve -4*u - 5*l + 3 = 0, s - 9 = 4*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 155540008 and 481.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -4*g - 1. Let w be a(-1). Suppose -4*o = w*y - 6 - 3, -3*o - 9 = 0. Let u be (-4)\/(-14) + 19\/y. Let b(z) = -z**3 + z**2 + 3*z + 4. Determine b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/4*(-3)\/(405\/(-72))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35*a + 14*a - 66*a + 38*a + 3 to the form o*a + h and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {p: 7, o: 2, a: 4, z: 3, e: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -440 + 445. Calculate the remainder when (-1724)\/(-6) - s - (-10)\/6 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-36)*-2)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**2 + 64*l - 282. Let h be o(5). Let c(r) = 2*r**3 + 24*r**2 + r + 19. What is c(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 18*0.8\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/12 + 0 + (-12)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 591019.\nAnswer: 11, 13, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*t + 15 - 15 - 5 + 2*t + 5 + (-2*t + 3 - 3)*(-1 - 5 + 4) + 6*t + 0*t + t to the form a*t + b and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 27 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -2*g. Let k be g - -1 - 171\/162. Is -1 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -5077 divided by 5859\nAnswer: -5077\/5859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 336*l**2 + 1024*l**2 - 77*l**2.\nAnswer: 1283*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -6*n. Let x(y) = -y. Let f(z) = -2*c(z) + 11*x(z). Suppose 4*h = 3*h. Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21958493.\nAnswer: 41, 535573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 - 4*w**2 - 113*w - 18. What is the remainder when 322 is divided by v(-8)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -123*s + 4. Let q(n) = 126*n - 5. Give 5*q(l) + 6*x(l).\nAnswer: -108*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c - 32 = 102*t, -3 - 47 = 5*c + 3*t + 23 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 545*s**3 + 6*s**2 - 7*s**2 + s**2 + (1 - 3 + 0)*(3*s**3 - s**3 + 0*s**3).\nAnswer: 541*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the second derivative of -n**5\/60 - n**4\/3 + 4*n**3\/3 - 13*n**2 - 17*n. Let p(d) be the first derivative of k(d). What is p(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -8*u**2 + 163*u - 38. What is o(20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - ((-13 - (6 + -20)) + (7 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2*p - p**3 + p**2 + 9*p**2 + 0 + (-3*p - p + 2*p)*(p - p - 2*p**2) to x*p**3 + q*p + w*p**2 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand z**4 + 0*z**4 - 3*z**4 + (11 - 11 - 10*z)*(-3*z + 2*z**3 + 4*z**3 + z).\nAnswer: -62*z**4 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.89 - -9.51. Let b = -10 + z. Let v = -1.97 - 0.03. Is b at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of 5*q**8\/336 - q**5\/60 - 5*q**2 + 4*q. Let s(t) be the first derivative of w(t). What is the third derivative of s(i) wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 44465824 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - 1 - 1 - -6375. Let c = 15744533\/6 + -2617701. Let h = c - l. Find the common denominator of h and 19\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1013111.\nAnswer: 11, 31, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**3 + 5*w**2 + w - 3. Let l be f(5). Suppose 0 = -0*j - l*j + 24. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -2*(-80)\/(-56).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-4)*12\/14*(-890100)\/267030.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -344 divided by -1.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2726 and 2550596.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:25 PM and 8:39 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/((-550)\/(-33)*-3). Which is the closest to f? (a) 0 (b) 2\/3 (c) 1\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of 0 + 0*j + 1\/168*j**8 + 0*j**3 - 7*j**2 + 3\/4*j**4 - 2\/5*j**5 + 4\/105*j**7 - 1\/30*j**6. Factor l(t).\nAnswer: 2*t*(t - 1)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 24 = -4*b, -4*x = -21 + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14469353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l + l + l + 5. Let a be n(0). Suppose -4*k + 33 = a*o, 0 = 4*k + 3*o - o - 30. What is the highest common factor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -664*w + 23202 = 10840 - 15360 - 4814 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79412 is divided by 79385?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 10:08 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17.9 + -18. What is the biggest value in s, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17892\/(-3465))\/2 - 51\/(-15).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2413023 (base 5) to base 7\nAnswer: -244335","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let u be (128\/96)\/((-8)\/6 - -2). Solve -22*m - 24 = u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -3*f**4 + 6*f**2 + 14. Let q(s) = -6*s**4 + 7*s**2 + 13 + 3*s**4 - 3 + 5. Let m(n) = -7*b(n) + 6*q(n). Differentiate m(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1409.6 - -1412.6. Which is the fifth smallest value? (a) -0.5 (b) m (c) 5 (d) -558 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**3\/7 - 256364*q**2\/7 - 4094679296*q\/7 + 416181899264\/7.\nAnswer: -4*(q - 101)*(q + 32096)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 + 29*c**2 + 60*c + 72. Let k be l(31). Calculate the highest common divisor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 5*a. Let u(i) = -351 - i + 351. Let w(v) = -3*v. Let f(l) = -7*u(l) + 2*w(l). Calculate f(z(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 210?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 44 + -31. Let q be -2*((-5 - -3) + 556\/(-8)). What is the greatest common divisor of r and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7687 (base 10) in base 8?\nAnswer: -17007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 5*p + 6. Let a(t) = 11*t + 13. Let b(o) = -6*a(o) + 13*q(o). Let v(c) = -4*c. What is b(v(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4.47534ng in kilograms?\nAnswer: 0.00000000000447534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29424 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + 6*w + 14 = -0*z - 9*z - 3*w + 38, -w = -5 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -3*x + 26, 0*p - 22 = 3*p - 5*x. Does 13 divide (p\/6)\/(6\/(-207))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -73, -112, -147, -178, -205, -228?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65 is divided by (-192)\/42*7\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 272727091?\nAnswer: 7, 13, 428143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 718 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 2712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/4208864 and 11\/32?\nAnswer: 4208864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 27250 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -3*r**2 + 65784*r - 360627888 = 0.\nAnswer: 10964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c - 7. Let b be g(6). Suppose -6*k - 2*j + 26 = -4*k, -5*j = -2*k + b. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from avvaaaavvvvvv?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26 - 25. What is the tens digit of (0 + b)\/(4\/204)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 5*r**2 + 4*r + 2. Suppose -2*j + 4*s - 2*s = 6, -4*s = -2*j - 10. Let u = 7 - j. Calculate the lowest common multiple of h(4) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*m**2 - 4*m**2 + 2*m**2 + (m - 4*m + 2*m)*(0 + 1 - 3)*(2*m + 4 - 4).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -22, 0, 25, -1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -227, 2 in descending order.\nAnswer: 3, 2, 1, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s**3 - 3*s**2 - 460*s + 924 = 0. Calculate s.\nAnswer: -21, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 9 = -l + 12. Put -5, l, -569 in decreasing order.\nAnswer: l, -5, -569","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + l - 45*l**2 - 3 + 2 - 1 + 42*l**2. Suppose 0*o = -3*o - 12. Calculate d(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -110*-0.1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(-1\/28))\/(n\/(n*n**(-3\/11)))*(n**4\/n)**(-37))**(-5\/18) assuming n is positive.\nAnswer: n**(169765\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 12209007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*g**2 - 5*g + 5*g + 2*g + 1)*(972 - 183 + 531) to the form b + i*g + j*g**2 and give b.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/322 and 53\/20700?\nAnswer: 144900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1284274086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5487 - -5495. Let p = 0.068 - 5.368. Let j = p - r. What is j rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -79 + -27 + 108 + -26 + (1 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - x. Let u = -16 - -31. Let f(b) = 2 - u*b**2 + 22*b**2 - 2*b - 5*b**2. Let p be 1*(0 + 1)*1. Give p*f(k) - i(k).\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 2*l = 8, -2*y + y + 5*l + 24 = 0. Sort 0.8, -2, y in descending order.\nAnswer: y, 0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from obbbebbbkeebdbbbeboq. What is prob of picking 3 e and 1 o?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c + 4. Suppose -4*y - 15 = d, 0 = -0*d - 4*d - y. Let a(o) = -o. Calculate d*n(q) - 4*a(q).\nAnswer: 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of -2*y**3\/9 + 20*y**2 - 118*y\/3 - 2379. Suppose m(c) = 0. Calculate c.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -140493 + 140493 + 349*z**3 + 3*z**2 as i*z + b*z**3 + f*z**2 + s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of -1\/4*t**4 + 1\/15*t**5 + 1\/3*t**3 + 1 + 0*t - 1\/6*t**2. Factor m(r).\nAnswer: r*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/((-12)\/(-9))*18\/27. Let v(z) be the second derivative of -z**h + 0 + 4*z - 2\/3*z**3. Differentiate v(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.4, -0.301, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4481574 + -1765845. Let l = 2715744.00033 - h. Let j = l - 15. Round j to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t = -0.02 + -0.48. Let d = -17.84 + 19. Let l = -0.84 - d. Which is the closest to l? (a) -3\/2 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**4\/b*b**4*(b*b\/(b\/b**(2\/5)))**47 assuming b is positive.\nAnswer: b**(364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-34)\/10*5)\/((-2)\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 317*u - 331*u = -14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.1 + -0.16. Let t = b + 0.86. What is the closest to 0 in 3\/5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*z - 112586 = -112082 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/5*d**3 - 12\/5*d - 2*d**2.\nAnswer: -2*d*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 111*u**2. Let s(d) be the second derivative of -d**5\/40 + 29*d**3\/2 + d + 7. Let r(w) be the second derivative of s(w). Give r(q(i)).\nAnswer: -333*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 47*s**2 - 16*s + 7. Let n be y(-6). Suppose -n = -15*f + 10*f. List the prime factors of f.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 71609*o + 78589*o - 156021*o to j + c*o and give c.\nAnswer: -5823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.04 + 12.04. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20209*l**2 - l**4 - 6*l + 6 - l**3 + l + 20211*l**2 as m*l + q*l**3 + u*l**2 + c + y*l**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 3*q**2 - 2*q - 1. Let x be h(-1). Put 5, 8, x in descending order.\nAnswer: 8, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 8. Let t be -9*(-6)\/4*(-8)\/(-18). Suppose x = t*x + r. Sort -3, x, 0 in descending order.\nAnswer: 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -4 + 14 - r**2 - 4 + 7 + 4*r. Let f be m(-6). Calculate the remainder when -2*f\/6*3 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*-2)*-5)**2.\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -ac4 (base 13) to base 3.\nAnswer: -2112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -48*d**3*u - 1722*d**3 + 2*d**2*u + d**2 + d*u + d - u + 968516 wrt d?\nAnswer: -288*d*u - 10332*d + 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 123 divided by -912?\nAnswer: -41\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1744 (base 8) in base 3?\nAnswer: -1100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2)\/(d*d*d**2*d))\/(d**(-11)\/d*d*d*d**6*d) assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 + 36\/6 + -10 + 5. Solve 4*y = 3*h + 2*y - 1, 6 = j*h - 4*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.737 * -0.9.\nAnswer: 0.6633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 37686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 - 6*z + 2. Let d(o) = -o - 8. Let y be d(-8). Let b be -1*(y - (-3 + 5)). Let g be 88\/33*3\/b. Determine v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 3*b - 10. Let z(o) = -7 + 2*o**3 - 6*o + o**3 + 5*o**2 + 2*o**2 - 4*o**3. Let c be z(6). Calculate the remainder when 33 is divided by d(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 9*z**2 - 385*z + 2359. Calculate x(8).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + 5*u + 3*u)*(-3*u**3 + 0*u**3 + u**3) + (0 - 3 + 1)*(7*u**2 - 7*u**2 - 6*u**4)*(1 - 2 - 2).\nAnswer: -54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(2\/5))\/z**(2\/9)*z**(-2\/7)\/((z\/(z\/(z**(-6)\/z))*z*z)\/z*z)*(z**(1\/3))**48\/(z*(z\/(z\/(z**0\/z)))\/z)**(-3) assuming z is positive.\nAnswer: z**(5699\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 21*m. Let y(f) = 4*f**2 + 6*f + 43. Let t(g) = 2*g**2 + 2*g. Let q(h) = 3*t(h) - y(h). Calculate q(o(x)).\nAnswer: 882*x**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 75*a**2. Let r(i) = 7066*i - 1. Determine r(c(m)).\nAnswer: 529950*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 281 = -373. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2\/6 + 1095*s\/2 - 1642\/3.\nAnswer: -(s - 3284)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1922461 is divided by 11581.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*y - 14*y + 4. Let k = 774.47 + -775. Sort k, y, -1, 1 in decreasing order.\nAnswer: y, 1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 3*k + 1037, 1312 = -75*f + 80*f + 2*k. Let t = 387 - 120. Which is greater: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 15 in descending order.\nAnswer: 15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 972 and 159.\nAnswer: 51516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 144720 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 301 (base 8) to base 15\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1152 and 2772.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00555736 rounded to 5 dps?\nAnswer: -0.00556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -2*y**2 + 20*y + 10. Give u(-4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00212690422 to 6 decimal places.\nAnswer: -0.002127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-441)\/4 + (-4)\/(-16). Let x = 55 + q. Let u = x + 91. Is u >= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86037439 to the power of 1\/2, to the nearest integer?\nAnswer: 9276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u. Let b be l(3). Let d be (-13)\/(-4) - 4\/16. Suppose m - 2 = -n, -m = -d*n - n - 2. Solve 2 = -m*h + b*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 22 = 4*x. Let y = 68 + x. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/14 - (-6)\/(-12). Let r = -5 - -5.2. Let p = -5832.5 + 5833. Which is the second biggest value? (a) r (b) u (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3935630*b**3*w - 11802828*w with respect to b.\nAnswer: 11806890*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 3*p**2 - p + p**3 + 4 + 0 + 3*p**2. Let m be x(-6). Suppose 2*q + q = -2*z + m, -10 = 5*q - 2*z. Solve q = 6*r - 2*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 364, -299, -1458, -3155, -5432, -8331?\nAnswer: -11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 PM and 1:20 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 408050 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1*6\/(-3)*8\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1450720 rounded to the nearest ten thousand?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/6)\/(-15*4\/(-72)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1980 divided by -5.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 55 = -6*t - i, 3*t = 3*i + 60. Let v = t - 22. Solve -x - m = m, 2*x = -v*m + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes after 12:57 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 2 + 180\/(-99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5643 + -293453\/52. Find the common denominator of -69\/14 and j.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 6234, 12464, 18688, 24906, 31118, 37324, 43524?\n\"Answer: -3*z**2 + 6239*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**3 - n**3 + n**3)*(-n + 19*n - 455 - 16*n).\nAnswer: -2*n**4 + 455*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a + 6 - 18*a**3 - a**2 + 3*a + 17*a**3. Let x be v(-3). Suppose -9 = -k - 7. Solve 5*o - 3*y = -5*y - x, -3*o - k = -y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 859*w**2 - 2*w. Let h(y) = -64879*y. Calculate h(t(g)).\nAnswer: -55731061*g**2 + 129758*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -4*v**2. Let y(u) be the first derivative of -1 + 0*u - 1\/2*u**2. Give y(m(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/432118 and -25\/41373?\nAnswer: 3889062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -406 - -996. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44352429.\nAnswer: 3, 11, 61, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/104 and -119\/57040.\nAnswer: 741520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 364081503 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -83*f**2 - 108*f + 109*f + 36 + 95*f**2 to the form l + a*f**2 + u*f and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and -27738083.\nAnswer: -27738083.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 + 385\/15)\/((-2)\/6). Let f = s - -90. Suppose d + f*v - 318 + 17 = 0, -5*d = -4*v - 1457. Is d a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -33 - 27*z**2 + 13 + 0*z + 0*z wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6.99 - -7. Let v = 0.41 - w. What is the nearest to 0 in 0.1, v, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10, h: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:42 AM and 12:59 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -5.09738671 to three decimal places.\nAnswer: -5.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**5 - a**3 + a**2 + a. Let m(j) = -52*j**5 - 3*j**3 - 24*j**2 + 3*j + 2. Let g(z) = 3*k(z) - m(z). What is the third derivative of g(f) wrt f?\nAnswer: 2940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -81405110513+-107\nAnswer: -81405110620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 32966.0287084 + -32966. Let k = f + 0.02129216. Let w = -0.05 + k. What is w rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 87?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from amem. Give prob of picking 1 a and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 8533334*f - 2. Suppose -3*s = -4*s - 3*k + 3, -2*k = 0. Let m be y(s). Round m to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 189 and 178374.\nAnswer: 1605366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56665 is divided by 3152?\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 + 13*m**2 - 32*m + 20. Let j be g(10). Solve 3*o + 5*h - 12 = j, 0 = -2*o + 3*h + h - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -3*p - 4. Let n be m(-3). Let j(a) = a**3 - 8*a + 7. Let o be j(-3). Suppose 176 = o*d - n*x, 3*x - 7*x = -d + 33. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the first derivative of 0*o + 1\/12*o**4 - 4 + 0*o**2 + 2\/15*o**5 + 0*o**3. Factor d(u).\nAnswer: u**3*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -24400 (base 5) to base 2\nAnswer: -11100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000769323 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -0.319, -0.03, -5, 5, 0 in increasing order.\nAnswer: -5, -0.319, -0.03, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 240 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 2*v - 98 = 0, 273*d - 277*d - 2*v + 76 = 0. Solve -2*h = i + 8, 58*i = -4*h + 53*i - d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 - 34. Let g be -4*(-10)\/r*-1. Let j be ((-24)\/(-10))\/(-3)*g. What is the smallest value in -0.1, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 2813419.1414 and 1480.\nAnswer: 2814899.1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -2*b**3 - b**2 + 6*b. Let u(r) = 5*r**3 + 3*r**2 - 13*r. Let t(h) = -13*a(h) - 6*u(h). What is the third derivative of t(w) wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = h. Let k be h - (2 + 2*-3). Let f be 1*(4 + -6 - -2). Solve -2*g + 2 + k = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -3*o**2 + 14*o + 21. Let n be h(6). What is the common denominator of -59\/6 and 287\/14 + n - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/6 - (-6)\/(-36). Suppose -z = -l + 6. Let c be 7\/z - 9\/(-18). What is the second smallest value in c, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 502 = -4*l. Let m be (-4 - 3000\/32)\/(1\/(-4)). Suppose -3*p + m = -l. Is p a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -2*o**2\/15 - 10*o\/3 = 0?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 48114 = -92*k - 287*k + 1068*k + 769*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is 26162 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 11*i**2 - 5*i - 6. Let j(k) = -k - 3 - k + 7*k**2 - 2*k**2. Let m be 24\/(-30) + 29\/5. Let d(n) = m*j(n) - 2*t(n). Factor d(g).\nAnswer: 3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5467, 21533, 47847, 84031, 129707, 184497, 248023?\nAnswer: 319907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/2634 and 14\/34935.\nAnswer: 30672930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -101395 = -1414*v + 7464*v + 98255 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(90)\/((sqrt(40) - sqrt(160) - sqrt(40))\/sqrt(4) - sqrt(10)))\/(sqrt(300) + sqrt(300) + (sqrt(300) - (6*sqrt(300)*1 - sqrt(300)))))**2.\nAnswer: 1\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 3*i = -4*n + 1, 4*n + 4*i = 4. Let l be ((-35)\/10)\/(n\/(-2)). Let w = 7 - l. Solve -6 = -w*y - 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 3 - 7)*(3*w**2 + 13*w**2 + 12*w**2).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -4*n + 2*i, 2*n - 5*n = -2*i. Which is smaller: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 30.2 + -29.842. Let b = h - 0.359146. Round b to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 + 2*h. Let j(n) = -123*n - 126*n - 32 + 261*n + 73*n**2. Let l(t) = -6*f(t) + j(t). Differentiate l(u) with respect to u.\nAnswer: 134*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 148367835 a multiple of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 + 7 = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -9 (b) 0 (c) 100 (d) -11538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/((1134\/(-12))\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) -5 (c) -10\/3 (d) -3 (e) -22.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*y - 16*y**2 - 12*y - 9*y + 18.\nAnswer: -16*y**2 - y + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the third derivative of -1833333*o**4\/8 + o**3\/6 - 4*o**2. Let a be q(-1). What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28311362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of s**3\/3 + 5*s**2 + 5*s. Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -1\/4 (c) -26658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -3, -1 in ascending order.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - (-1020)\/(-68)) + 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -116192 = 2419*b - 29413 + 17238 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.0382 + 3.0382. Put -2, y, 8, 0 in increasing order.\nAnswer: -2, 0, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13510.6 - -13511. What is the closest to -436 in 0.3, p, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -4 and -3570.\nAnswer: -3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8614 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 - 13 = -5*v. List the prime factors of (((-356)\/v)\/2)\/(6\/9).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-10)\/8 - -4*(-1113)\/112. Let c(m) = -16*m - 4. Let b be c(-3). Let a = j + b. Solve 3*p = 2*k + 19, -a*k - 18 = -p - 0*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72.90822 decades in millennia?\nAnswer: 0.7290822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15564306, -15564304, -15564302, -15564300?\nAnswer: -15564298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162)*-1 - sqrt(18))\/sqrt(6) - (-2*sqrt(864) + sqrt(864) - sqrt(864))\/sqrt(8))*1.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 49 - 66 + 13 - 4823*g as f + j*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 12456*a - 36. Let m be c(6). What is m rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 248800 and 340856?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-52)\/((3\/(-6))\/(2\/(-4))). Which is smaller: c or -50?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 + -9. What is the nearest to m in 4, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 4, n: 3}. Give prob of picking 4 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 4*x. Let l be (-6)\/(-3) + 4\/(-6)*2. Sort x, l, -2\/13.\nAnswer: -2\/13, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -12*p. Let r be (-6)\/24 - (-3)\/(-4). Let z be u(r). Let b = 24 - z. Solve 3*c + 0*c + b = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10038 and 9852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 - (-8)\/3)*18. Let f be (45\/z)\/(2\/32). Is 4 a factor of (f\/(-21))\/((-2)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*m = 57*m + 5, c + 3*m - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.04 (c) 280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/1*1)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4290745?\nAnswer: 5, 858149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -93, -172, -239, -294?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 3*s = -399180. Let v = -8570 - s. Let g = 18775 + v. What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 1 = k - 1, -2*v = -4. Suppose k*x = 2*x. Suppose x*o - 24 = -o. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 2627 and 2606 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 0, 73, 146, 219, 292, 365?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5411 + 33924. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 192, 427, 652, 861, 1048, 1207, 1332, 1417?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76913 is divided by 1051.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1286141235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 11) to base 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b + 2. Let f(i) = -65*i + 6. Let q(h) = -65*h + 8. Let s(j) = -2*f(j) + 3*q(j). Let u(n) = -6*d(n) + s(n). Let k(m) = -2*m. Determine k(u(v)).\nAnswer: 142*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6837163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -1491*r. Let v(q) = -2*q**2 + 652. Determine l(v(p)).\nAnswer: 2982*p**2 - 972132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.39 - -1.57. Let y = -1.18000063 + p. Round y to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 76, 3 in decreasing order.\nAnswer: 76, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 + 5*z**2 - 7*z - 2. Let f be c(-6). Let l be 0 - (0 + f\/(-8)). What is the second smallest value in l, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*i - 355*i = -3165 - 2271 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-240)\/(-50) - 5)\/((-9)\/30).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 45\/4 of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -465 + 480. Suppose -427*j - f = -422*j. Let d be (2\/(-4))\/(2\/17). Is j smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (564592\/(-426))\/(-142)*((-432)\/(-14))\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -4 (b) 4 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6302\/69)\/(2\/3). Let w = u - -704. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2\/7 - 178*d\/7 - 176\/7.\nAnswer: -2*(d + 1)*(d + 88)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {a: 1, o: 7, n: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9707.\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*x - 7 + 7.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 2:04 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9889 is divided by 657?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19 + -19. Let t = m - -0.3. Which is the nearest to -1\/2? (a) 2\/3 (b) 5\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 817 and 23579.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 - 168*g + 688. Give u(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 342204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8) - -2*sqrt(16)\/sqrt(2))\/(sqrt(64)*2) + 3*((1 + sqrt(1458) - sqrt(1458)) + sqrt(1458)))**2.\nAnswer: 1953*sqrt(2)\/4 + 424089\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -52*w + 515. Let x be z(10). Which is the closest to 0.1? (a) -0.4 (b) -274 (c) x (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 - 303?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(612) + (sqrt(612) - (sqrt(612) + -3 + sqrt(612)) - sqrt(612)) + -2)**2 + 4.\nAnswer: -48*sqrt(17) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 180 and 6 + (-3)\/6*43*-6.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 11, s: 2, b: 3, u: 1, q: 2}. Give prob of sequence su.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -56*a*c**3 + 8*a*c**2*f + c**3*f + c**2*f - 61*c*f wrt a.\nAnswer: -56*c**3 + 8*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 14629616 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17239687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 5*j - 289 + 4 = 0, -2*s + 108 = -5*j. Factor -43 + 6750*y**3 + s*y + 41 - 1350*y**2 + 31*y.\nAnswer: 2*(15*y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0475461558 rounded to 3 dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 - c + 25. Let k be b(0). Suppose k = 5*z - 0*z. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**3 - i**3 + 3*i**3 + (-2 - 1 + 7)*(-191*i**2 + 19*i**3 + 191*i**2).\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 59 + -62. Let q = -1 - -5. Put s, q, 1 in descending order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**3\/7 - 2289*q**2 - 3905280*q\/7 = 0. Calculate q.\nAnswer: -5085, -256, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 + 2*n**2 + 26*n - 5. Let p be l(6). Let w(f) = -8 + 9*f - 6 + f**2 + f**2 - 3*f**2. Determine w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i**(9\/4)*(i\/(i\/(i\/(i\/(i\/i**(-2\/9)))))*i*i*i*i)\/i*i*i**7*i*i*i**(8\/7) assuming i is positive.\nAnswer: i**(4691\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**3 + 38045*g**2 + 38060*g - 76100.\nAnswer: -5*(g - 7610)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (64\/(-240)*(-69)\/(-1748))\/(((-72)\/(-30))\/4)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 3)*(3559 - 3559 - 9*y**2) + 0*y**2 + y**2 + y**2.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes after 2:53 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 10641166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24009 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vmsvgvhv. Give prob of sequence vghv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -280 + -1.88926.\nAnswer: -281.88926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**2 - 11*r - 10. Let x be c(12). Suppose 2*n = -5*m + 10, 2*m + 15 = n + 2*n. Put m, -5, 3, x in ascending order.\nAnswer: -5, m, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1796 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12355\/942 - -8\/157. Find the common denominator of k and -17\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1144221, 2288278, 3432333, 4576386?\nAnswer: 5720437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -1 - (3 + -3 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:58 AM and 5:23 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from {w: 12, e: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 34, 34, 36, 40, 46, 54?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 273 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2002097 and 202744.\nAnswer: 16016776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.45, 0.3, 8 in decreasing order.\nAnswer: 8, 0.45, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*a - 2800 = -37*a + 5*d, 4*d + 563 = -a. Let h = 558 + a. What is the second smallest value in -5, h, -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeeeeejeee.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3211, 12864, 28937, 51424, 80319, 115616, 157309?\nAnswer: 205392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 - 5 = 2*l. What is the lowest common multiple of 68 and l?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -708*p - 3 = -735*p - 3. Solve -8\/9*a**2 + p*a - 4\/9*a**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 58800.09 nanograms?\nAnswer: 0.00005880009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 41 = -h - 3, 3*h = -5*t + 34. Suppose 4*g - 5*b - 28 = 0, g + 3*b - t + 18 = 0. Solve 22 = 5*d + g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22 - 11*k - 22 + 53*k to the form z*k + p and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by -47706\nAnswer: 4\/23853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/3 + 198\/132)*432\/(-135).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, -1, 1\/5, 4, 2\/5, 14\/11 in descending order.\nAnswer: 26, 4, 14\/11, 2\/5, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2*s + 23. What is t(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 1619552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -3 - -7) + (73 - 63) - (-27 - -31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19674 rounded to the nearest 100?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*n + 367 + 494 = 24*n. Solve n*z + 155 = 29 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 + 9*x**2 - 7*x - 3. Suppose 0 = -2*k - t + 19, 4*t = -2*k + 7 + 21. Let l be p(k). Let m be 25\/7 + 11\/((-154)\/8). Solve m = -l*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-22))\/((-9)\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 213 and 483.\nAnswer: 34293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -43 + 13. Let w = -21 - q. Let j = w - 5. Solve -3*m = 4*h, 2*m + h = -3*h - j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 415, 1 in descending order.\nAnswer: 415, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 972480 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 43*j = -41*j + 842, 3*j + 171 = a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -763 (base 15) in base 11?\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(17) + 0 - -4*(sqrt(17) + sqrt(272) + sqrt(17)).\nAnswer: -3 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 32800147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 225 and 3900.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 6 (b) -4 (c) -15 (d) 1\/2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -9. Let d = q + 1. Suppose d = -5*a + 5 + 10. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-98)\/4)\/((-38955)\/11130)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-1) + 22*6\/12 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 224516209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2270\/19 or 118?\nAnswer: 2270\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*q + 25 + 875. What is the remainder when q is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**2 + 192*c + 1222. Calculate q(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -5*s - 18. Let c(n) = -16*n - 24 + 11 - 21 - 20. Let i(z) = -5*c(z) + 14*o(z). What is the first derivative of i(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 18a7b3 (base 14) to base 10.\nAnswer: 874121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -35 - -37. Suppose 0*j + 42 = -5*g + p*j, -3*j - 22 = g. Sort -2, -4, g in increasing order.\nAnswer: g, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -15746*l - 15943 wrt l?\nAnswer: -15746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -113 - -279. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 14*k**3 - 4*k**2 = 0. What is k?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -979*b - 90846. Determine u(-93).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1700)*-1 + 2)*-1 + 1*sqrt(1700)*2 + -4 + (sqrt(1700) - (sqrt(1700)*-2 - sqrt(1700))))**2.\nAnswer: -840*sqrt(17) + 83336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8862 and 1971162?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1020, -5, -2, 0.1, 2\/9, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 100*u - 681 - 98*u - 1661 to the form c + o*u and give c.\nAnswer: -2342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -54010 (base 6) in base 15?\nAnswer: -22a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 0*z + 1 = 0, l - 5*z = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -42*w - 184. What is p(-10)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -54 + 101. Let y = c + 4. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31 + -2 + (0 - 3 - (3 + -15)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 409.23 * -2906.\nAnswer: -1189222.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) 16 (c) 3 (d) 9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 10 = 2*j. Let m be ((-13)\/(-39))\/((-2)\/6). Let b be m + j + 0 + 2. Solve 0*r = -b*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -809*b**2*g**2*n**3 - 17430*b**2*g**2*n**2 + 2467*b**2*n**3 + 3*b**2 - 4*b*g**2*n**2 wrt n.\nAnswer: -4854*b**2*g**2 + 14802*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from {q: 5, s: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 5) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1478)\/19214 - 11\/195.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 - -14. Suppose 7*i - i - v = 0. Solve 0 = i*m + h + 18, 0*m = m + 2*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**3 + 10*a**2 + 10*a + 15. Let n be h(11). Suppose -m - 72 = -n*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16164 is divided by 3243?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 + 2. Let i be n(-2). Let u = i + 7. Is 2 + 99\/(2 + u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tlt when three letters picked without replacement from {t: 3, y: 3, b: 1, l: 2, a: 3, q: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -240*h**3 - 57*h**4 + 240*h**3 + (-4*h**3 + 4*h**3 + h**3)*(-1 + h + 1) + 4*h**4 + 0*h**4 + 7*h**4.\nAnswer: -45*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**3 + 122*v**2 - 105*v + 12809. Give g(122).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*q + 3 = 36*q. Suppose -3030 = -5*p - 360. Suppose 0 = 5*a - 2*a - q*x - 423, 2*x - p = -4*a. What is the highest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -70b5c9 + 4?\nAnswer: -70b5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*l**2 - 2*l**2 + 4*l**2)*(304*l + 389*l - 58*l + (2*l - 9*l + 3*l)*(1 + 1 + 0)) to s*l**2 + p*l + h + t*l**3 and give t.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.93 + 1.73. Put -2, -21, 0.1, v in descending order.\nAnswer: 0.1, v, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -18\/23, 0.01, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -756, -681, -606, -531?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -86 + 129. Let v = 43 + c. Calculate the remainder when v is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172*10 + -16 + 7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f + 14 + 1. Let l(a) be the first derivative of -2 - 2\/3*a**f + 0*a + 0*a**2 + 0*a**4 - 1\/5*a**5. Find the third derivative of l(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -14, 1, -1, 36, 4 in ascending order.\nAnswer: -14, -1, 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 941805?\nAnswer: 3, 5, 20929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/2 and 9\/508.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.05, 1\/3, 0.95608, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (39\/(-2))\/3*-2. Let m be (2\/(-10))\/(3\/15). Let i be 2\/(-4)*-4 - m. Solve -i = -2*t - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.387 + -7.613. What is the second smallest value in l, -34, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 692*q**2 + 6*q + 16. Is 66 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 573 is divided by 229?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 546 (base 8) to base 14\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23511?\nAnswer: 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 46 = 31. Let w be (-9)\/(-3) + (4\/d - 2). Find j, given that -w*j**3 - 6*j**2 - 6\/5 - 27\/5*j = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -188.2 - -187.8. What is the closest to 2 in l, 0.103, -4?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1 and 18668.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -254 = -11*v - 221. Factor 0 - 2\/3*q**2 + 0*q + 2*q**v.\nAnswer: 2*q**2*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103 = 4*u + 3*x, 0 = -u - 2*u - 3*x + 75. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101222100200011 (base 3) in base 16?\nAnswer: 590203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - -2. Let j = 27 - s. Suppose 7*p - j*p = -108. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 71260 and 2002.\nAnswer: 10190180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (h**2 - 2*h**2 - h**2)*(8*h**3 - 6*h**3 - 3*h**3) + (-h**3 - 2*h**3 + 4*h**3)*(-2*h - 4*h + 7*h)*(3*h - 3*h + 2*h).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -18*z**2 + 2*z - 1. Let l be n(1). Let m(w) = -1. Let g(b) = -3. Let x(t) = l*m(t) + 6*g(t). Let i(d) = -2*d - 5. What is i(y) - 5*x(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = 60*o - 33*o - 25*o - 2*h, 5*h - 80 = 4*o + 6*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -21, -115, -263, -453, -673, -911?\n\"Answer: 2*k**3 - 39*k**2 + 9*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u**(1\/6))\/(u\/(u*u**(3\/4))*u))\/(u**(1\/2))**(-8\/15))\/(((u**0*u)\/u)**(-3)*((u\/u**(-1\/16))\/u)\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(209\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 0.4, 0.6, 1\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 688063329 minus -8?\nAnswer: 688063337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 10, 1, 146 in descending order.\nAnswer: 146, 10, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + q - 99 = -80, -4*l - q - 16 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 + 7*g - 5. Let y be a(7). Let o = -185 + 183. Let w be (-4)\/o*y\/(-2). Solve 3 + w = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 37284 and 0.\nAnswer: 37284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3637 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 348*b - 12894 + 12894 as j*b + t and give j.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -905*b - 518553. Calculate d(-573).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 466459 is divided by 233223.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 205422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iipi when four letters picked without replacement from {i: 7, p: 2, s: 3}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 3*o + 9, 2*o + o + 2*j = 11. Calculate the highest common factor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - -6a28d89?\nAnswer: 6a28d85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2754*b*x**3 - 92*b*x**2 - 3680*x**3 + 2*x**2 + x - 2 wrt b.\nAnswer: -2754*x**3 - 92*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 65769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 + d - 6. Let l be y(-5). Suppose -4*o = -138 - l. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 338953 is divided by 66960.\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - 2. What is the first derivative of x**4 + b + x**4 - 4*x**4 wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 + 20. Suppose o = f*o - 38. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6407 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((8\/(-372))\/((-4)\/6)) + 10968 + -10963?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) 3\/7 (b) 1\/9 (c) -0.4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5922 divided by 31?\nAnswer: 5922\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 - -32. Let l(s) = -2*s**2 - 3*s**f + 0*s**2. Let w(n) = 4*n**2. What is w(l(x))?\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26 - -49. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -3 - l**3 + 7 + 4*l + 0*l**3. List the prime factors of z(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 160, 151, 144, 139, 136, 135?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5298167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.44094798 - 0.4409. Round u to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 291388 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 PM and 7:33 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 4*w = -759, -4*i = -w + 3*w - 2966. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 + q**2 - 3*q - 4. Let u = 837 + -825. What is the remainder when l(5) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -85 - -38. Let w = n - -72. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42*n**2 - 38*n**2 + 59*n**2 + 86*n**2 to f*n + j + m*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 921, 1672, 2413, 3144, 3865, 4576?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5854467 and 21?\nAnswer: 40981269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 PM and 2:03 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27.25 - 26.25. Which is the closest to u? (a) 19 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 - 12. Let l(h) = -2*h - 9. Let i be l(d). Let x be 8*(-13)\/(-546)*3. Which is the second biggest value? (a) 0.3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.1 + 0. Suppose 0 = -5*y + 2*y + 15. Which is the nearest to 1\/4? (a) y (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = -2*w, 61*w + 542 - 246 = -2*a + 414 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-10)*p*p**(-3\/4) assuming p is positive.\nAnswer: p**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*k + 15. Suppose -12 = -3*o - 0*o - 4*h, 0 = o - k*h - 4. Solve -o*n = 1 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 166 and 1.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 + 2)*68\/(-16). Let l = 9\/2 + n. Factor l*d**2 + 1\/4 - 1\/2*d.\nAnswer: (d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 14\/((-112)\/(-66)) + (-2)\/8. Let u = g + -5. Let w = -569\/2 + 4015\/14. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.77599 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 221 (c) 0.082\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3 - 48\/(-14))\/((-6)\/4). Sort 2\/9, 0.3, -7, z in descending order.\nAnswer: 0.3, 2\/9, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 16 = 7*i. Suppose n + 0*n = i. Suppose 3*p - 20 = -n*v, -7*p + 3*v = -3*p - 10. Solve -20 + p = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z**3 + 4*z**3 - 2*z**3)*(8*z**2 - 17*z + 17*z).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -66 - -71. Suppose -3*b = -2*z - 109, -210 = -v*b - 4*z - 21. What is the highest common divisor of b and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1615*q - 4*q**2 + 802*q + 850*q)*(-3*q**3 + 4*q**3 + q**3).\nAnswer: -8*q**5 + 74*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0008 + 4.2992. Let q = -58.3 - y. What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 13. Let y(q) = -q**2 + 27*q - 14. Let z be y(26). Suppose 0 = 3*g + z, 2*v - 3*g + g - 36 = 0. Calculate the remainder when v is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 - 3*l**2 - 4*l - 2. Let z be o(4). Let f = 2.96 + -3. Let q = f + 1.04. Which is the nearest to 0.2? (a) z (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -73.5 - -77.5. Sort 20, j, 0.05 in ascending order.\nAnswer: 0.05, j, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*s + 2*s - 8, -4*s + 25 = 3*k. Let u = 61 - 41. What is the remainder when u is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 (base 2) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -464 times 64.12\nAnswer: -29751.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 121, 241, 361?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 6 + 7*t**2 - 10*t - 6*t**2 + 4. Let w = 13 + -3. Let s be c(w). Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 - 16*j**2 - 104*j - 6. What is the first derivative of b(o) wrt o?\nAnswer: -4*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -4*s - 8. Let a(v) = -1. Let z(y) = 4*a(y) - u(y). Let h be z(3). What is the units digit of 3*(h\/(-3))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 2*l + 0*l + 10084 = 0, h + l - 2522 = 0. Round h to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 58701103 and -0.3.\nAnswer: -17610330.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2507799 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -18*k**3 - 575*k**2 + 19*k - 14649243.\nAnswer: -54*k**2 - 1150*k + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*i = 12 + 20, 5*d - 3*i = -199. Let v be -2 - (-3)\/3 - -2. Is 8 a factor of (d + -2)*(-1)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11004352 + 3?\nAnswer: -11004345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add 328 and -442808.\nAnswer: -442480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -253*n**2 + 253*n**2 - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 22 + 20 - 65 = 3*z, 3*z - 12 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Work out 3832 + -0.5.\nAnswer: 3831.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 512*w**2 + w + 3. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of -17*x - 1\/4*x**4 + 0*x**3 + 0 + 0*x**2. Let z(k) = -3*k**2. Calculate l(z(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*o + 34*o + 16 = -t, -o - 4*t = 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17000 or 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -8681*u + 544. What are the prime factors of a(-3)?\nAnswer: 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 2*a**2 + a - 2. Let c be 72\/7 - 4\/14. Let n = c - 18. Let i(x) = -6*x**2 - 2*x + 5. Give n*t(g) - 3*i(g).\nAnswer: 2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2175037416 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w + 14*w - 15 = 0. Is 10 a factor of 404\/10 + 6\/w - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 89*t**3.\nAnswer: -89*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -4*p - b + 63, -4*b + 79 = 5*p. Let g be (1 - 27\/p)*5. Let f = 23 + g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 541, 4543, 12005, 22927, 37309, 55151?\nAnswer: 76453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 3*b**2 + 20*b + 27*b + 4*b - 7*b - 7 + 16*b. Let u be r(-21). Let g(h) = 2*h**2 - 6*h - 1. Let f be g(-4). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 268 + -131. Let j = -2295787814.0000133 - -2295787677. Let a = t + j. Round a to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v - 1. Let p be c(-3). Let m be 3\/3 - 1\/p. Which is bigger: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5175987?\nAnswer: 3, 173, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4036513425 take away 0.5?\nAnswer: -4036513425.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - x - 2*r = -1, 0 = -4*x + r + 4. Suppose -x - 9 = 5*d. Let a be 0*(-1)\/4*d. Solve -3*q = -a*m + m - 8, -4*q + 10 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -35463 * 4257\nAnswer: -150965991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9751880 from 2.\nAnswer: 9751882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -143 - -110 - (1 + 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:15 AM and 10:18 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 - 5*s**2 + s**2)*(4*s + s - s)*(-754 + 356 + 282)*(-1 + 2 + 0).\nAnswer: 464*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27435452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2224008731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-6845)\/275 - 492\/(-451) - 8\/(-10)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 15*(4 - 28\/12). Suppose -t = 4*t - a. Suppose 0 = -3*i - 2*m - t, -4*i - 3 = 4*m - 5*m. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 88\/63 and -145\/24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 3*o - o)*(-2 + o**2 + 2) + 27 - 248*o**2 - 2*o**3 + 248*o**2.\nAnswer: -o**3 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 - 2*g**2 + 8*g - 15. What is the tens digit of o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + 22*6\/(-24))\/(18\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 13 by 126679.\nAnswer: 13\/126679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 + 76\/12 + -4. What is the closest to 0.4 in y, -7, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00025825229 rounded to 6 dps?\nAnswer: 0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-354172)\/(-36140))\/(126\/10)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-3)*27\/(-6) + -3. Let x = 7.4 + -11.4. What is the second smallest value in f, x, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-54)\/12*3\/(27\/(-6)). Suppose -h*n = 6*n + n. Is -1\/3 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -177\/90083, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + h - 1)*(-h + 3 - 3) + 2*h**2 - 5*h**2 - 4*h**2 + (-80*h + 28*h + 23*h)*(h - h + h).\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**27\/r)\/r*r*(r**(-21)\/r*r)\/r)\/((r\/r**(-1\/7))\/r**(-28)))**(-2\/53) assuming r is positive.\nAnswer: r**(338\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*u + 57 + 433 = 0. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + -1 + -21 + (-7 - -12) - 3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -4*g - 5*z - 11, 3*g = -2*z + 24. Let p = -11\/2 + g. Determine v, given that -1\/2 - p*v**3 - 3\/2*v**2 - 3\/2*v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -14*c**2 - c - 2. Calculate h(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7)*2 + sqrt(7) + -2 - sqrt(7)) + (sqrt(7) - ((1 + sqrt(7))**2 + 1)).\nAnswer: -11 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5602 divided by -3328.\nAnswer: 2801\/1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 24*o - 20*o - 33*o + 261. Solve 8*b = -o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-738)\/328*(1 - (-1 - (-92742)\/9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 675*y = -4*b + 677*y + 56, 2*b - 36 = 3*y for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 132470424?\nAnswer: 2, 3, 613289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + q + 1. Let f(h) = -6*h**2 + 6*h + 3. Let d(p) = -f(p) + 5*i(p). Let j be d(3). Let c = 10 - j. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/108*(-4)\/(-10))\/1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16123982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6244858*c**3 - 4735625 wrt c.\nAnswer: -18734574*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 4:19 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/3))**(38\/7)\/(x**2)**(2\/13) assuming x is positive.\nAnswer: x**(-1072\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 532 (base 10) to base 16\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 3:01 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5, 17 in increasing order.\nAnswer: -5, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 25236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3166.1 + -3166. What is the nearest to i in -0.101, -4, 6?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/10 of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 10 = 0, -3*b - 1 + 6 = -4*d. Let a(l) = 4*l + 1. Let s(q) = -3*q - 6*q + 18*q + 3 - 8*q - 2. Suppose 4*o = 3*o + 1. What is b*a(i) + o*s(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 18*r + 2. Let m(d) = 6*d**2 + d + 1. Let a be m(-1). Let g be z(a). Suppose 5*f = -2*w + g, -f - 144 = -3*w + 2*f. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -120*b - 20. Let j(d) = -7*d - 1. Give -104*j(x) + 6*k(x).\nAnswer: 8*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of l**5\/10 + 39*l**4 + 4403*l**3 - 56644*l**2 + 297*l - 5. Factor j(d).\nAnswer: 2*(d - 4)*(d + 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 200 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 148971361 divided by -21281623.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 + -5)\/((-35)\/70). Solve 5*u + 2*q + 0*q = -16, c = -3*u - q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 + 10 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -444 - -134?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yknnytendkyn. Give prob of sequence dy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - f - 109 = -2*f, -3*j + 2*f = -90. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2112 and 28963?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**3 + 6*z**2 - z - 23. Suppose -2*h + 15*d - 11*d = 12, 4*d = 0. What is the hundreds digit of q(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1437 is divided by 715.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - 7. Suppose 0*c = 4*c + 5*y + 5, -j*y - 2 = 2*c. Solve -a + 5*a = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -511 - -34236\/67. Put -2\/5, 5, 4, x in decreasing order.\nAnswer: 5, 4, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -10686783 by 4.\nAnswer: -10686783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 423600 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -1414 and -2.272.\nAnswer: 3212.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -2*i + 66. Let q = i - 27. Let o be ((-22)\/8 - 1\/4)*q. Solve 2*y - o = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -46418690.\nAnswer: -2\/23209345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 290 and 2880?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 45*k**2 + 2. Let t be p(45). Suppose 4*o - 62 = -2*i, 17 = 3*i - t*i - 5*o. Solve -i = 2*f - 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -290*y**3 + 19 + 248*y**3 - 2*y**4 - 20 to l*y**3 + v*y**4 + h*y + u*y**2 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w - 5*w + 0*w)*(2*w**3 + 2*w**3 - 2*w**3) + 23*w**4 + 5*w**4 - 49*w**4.\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -43 - -42.6. Sort 1, 0.3, c in descending order.\nAnswer: 1, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let u = 1 - -4. Suppose 3*z - 3 = 6. Suppose -38 = z*h - 5*h - 4*n, -u*n + 41 = 2*h. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86 + -88 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f\/f**(2\/7)*f*(f*f*f\/(f\/f**(3\/4)))\/f)**(-3\/4) assuming f is positive.\nAnswer: f**(-459\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 15007*t - 60037. Determine v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.044 - 3.956. Which is the nearest to -3? (a) -2\/3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 919861933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 14314740 a multiple of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6959 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 114*s**3 - 29*s**3 + 166*s**3 - 43*s**3.\nAnswer: 208*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 28 + (10 - 6) + (-32 - -31).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5\/33461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 + h - 1. Let c(k) be the second derivative of 2*k**5\/5 + k**3 - 4*k**2 + 2*k. Let w be 3\/3*(-1)\/(-1). Calculate w*c(q) - 6*x(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 116202809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3493 - -3492. Let k = -6 + 3. Sort k, 3, m, -0.2 in ascending order.\nAnswer: k, m, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 329, 357, 385?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 335478341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -16340.7811 to the nearest ten.\nAnswer: -16340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-15)\/(-14)) + (-9)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*b**5 - 2*b**2 + 2*b**2 + (3*b**4 + 4*b**4 + 0*b**4)*(b + 0*b + b).\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + 504?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*s + 2*p + 72, -4*s - 10*p = 860 - 428 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/5*(-1250)\/1400*60\/(-75).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 102482 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 94327977 to the power of 1\/2, to the nearest integer?\nAnswer: 9712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 + -6. Let p = 16 + g. Is 23 a factor of 0 + 3 + p - -44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1362751174 a multiple of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19.999975 + -20. What is q rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xzczcfxb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42559.\nAnswer: 11, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 60 = 5*n, -88*r + 91*r + 17 = 4*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 491 = 3*o - 495, -4*s + o + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.13 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -317654*s**2 + 634293*s**2 - 317168*s**2.\nAnswer: -529*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 2672?\nAnswer: -2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -1142067*y**3\/4 + 801732885*y**2\/2 - 5197611*y\/4 + 1053.\nAnswer: -3*(y - 1404)*(617*y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 + (-8 - -4))*2. Is 1242 + (0 + -20)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1050 - 1049.7. Let g be 1\/((-6)\/(-4 + 118)). Which is the third biggest value? (a) g (b) -0.4 (c) u (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 44, 5, -3, 7.\nAnswer: -3, 5, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 2*a**2 + 13*a**2 + 19*a**2 - 8*a**2 as d*a**2 + x*a + o and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -136.9 + 137. Suppose -4*q - k = -14, 2*q - 3*k - 26 = -3*q. Let c be q\/((-7)\/(21\/(-18))). What is the closest to l in -0.2, c, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h - 20*h - 8*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of n**3 + 0*n + 0*n**5 + 0*n**4 - 3 + 1\/6*n**6 + 0*n**2. What is the third derivative of r(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 3:44 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 16*k**2 + 2*k - 1. Is x(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 48498 - 591?\nAnswer: 47907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 = -5*t - 0*t + 4*p, 0 = 5*t - 2*p - 59. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 62 + -63. Let u be -93*53 - y*(12 + -10). Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 - 0.2. Let s = 1.17 + -0.17. Let f = 84.43 + -84.33. Which is the closest to s? (a) u (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -352*z + 5048 = -2116 - 1031 - 1661 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p\/(p*(p\/(p*p*p*p\/(p**(-1)\/p*p)*p))\/p)*p)*p**32)\/((p\/((((p\/(p*p**(-4\/9)*p))\/p)\/p)\/p))\/p*p*p**29) assuming p is positive.\nAnswer: p**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a + 12*a = -4*n - 20, 5*a + 8 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z**5 + 384*z**4 + 1566*z**3 + 2364*z**2 + 1581*z + 396 = 0. Calculate z.\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 3*k + 15, 5*k - 4*k - 4*o + 13 = 0. Let m be 3*(k + 0) + 1. Is 2\/3 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, -280, -6 in ascending order.\nAnswer: -280, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1787*0.3.\nAnswer: -0.05361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(125)*-2)**2.\nAnswer: -100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 81\/4 of a milligram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24660 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of -2*c**2 - 4*c - 6. Let t be a(-3). Let p be (6\/t)\/(4\/16). Solve 5*g + 8 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 8 = -6. Find the common denominator of (36\/(-330))\/(8\/(-30)) and b\/(-7) + (-2490)\/504.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 44912142 and 3924.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h + 15*h + 6 = a, 6*h - 3*a = -9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 197*n**2 - 6899*n + 155. Determine s(35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -36*y - 4. Let r(w) = 35*w + 4. Let m(j) = 6*r(j) + 7*t(j). Let n be m(-2). What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54 - (69 + -20 + -22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 222854 = -4*s + 939334. Let w be (-1)\/(1 + -2) - (-8 + s). Let r = w - 32889. What is r rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -4306, -4309, -4312, -4315?\n\"Answer: -3*f - 4303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -2*p**2. Suppose -3*d + 0*d = -6. Let f(t) = -4*t - d + 2. Give f(z(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - 3. Which is the second biggest value? (a) 4 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30797 divided by -103.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.9 + -0.1. Let a = 372 - 252. Suppose 24*j + a = -6*j. What is the second biggest value in -5, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = 4*h + 5*m, h = -5*m + m + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50641 is divided by 4593?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -7.4*-39302\nAnswer: 290834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the second derivative of -3*j**7\/14 + 11*j**6\/10 - 27*j**5\/20 - 7*j**4\/4 + 6*j**3 - 6*j**2 + 269*j. Find v such that u(v) = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44*44\/(-1001880))\/(2\/18).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + p - 23 + 8 = 0, d = 4*p - 9. Let b be d\/(-2)*(-4)\/6. What is the remainder when 40 is divided by b\/3 - (-82)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**2 - 5*j + 16. Let i be x(4). Which is the closest to 2? (a) -0.4 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 629 is divided by 210?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*l**2 - l**2 + 2*l**2)*(-4*l**3 + 5 - 5) + 2*l**5 - l**5 + 0*l**5 - 20124*l**4 - 32*l**5 + 20124*l**4.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > 15589\/11737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 348585 or 348596?\nAnswer: 348585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 9089983933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 121594247461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + -4. Suppose 5*f + 1 + 14 = m. Is 11 a factor of (1 + -2)\/(f\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 237 + 194. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2*r = -23. Suppose -3*s + 0 + r = 4*m, 0 = 2*s - 3*m - 4. Solve 0 = -3*t - 6, s*i - 4*i + 5*t = -14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 81347 and 116109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 200678, 200701, 200734, 200777, 200830?\n\"Answer: 5*p**2 + 8*p + 200665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 58186249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -726, -4, -84, 158.\nAnswer: -726, -84, -4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 - 14*f**2 - 17*f + 20. Let r be h(15). Let w = -2 - r. Solve 3*g = b + w, 0*g + 2*g = b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1 (b) -7\/10 (c) 4 (d) -1\/8 (e) -117 (f) 2\/371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/179036 and 21\/81380.\nAnswer: 895180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42*d**3 + 2024*d**2 - 1013*d**2 - 1010*d**2 + 1 - 8*d**3 to the form b*d + m + q*d**2 + o*d**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.17 + -24.33. Let w = l - -20. Let t = -5 - w. Which is the third biggest value? (a) -0.2 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 2*g + 10, f - 11 = 5*g + 31. Let l(w) = w**2 + 5*w + 7. Is l(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-3)\/(z**(-6)*z)*z**0*z**0*(z*z**0)**(-10\/9)\/(z**(-1))**(-35) assuming z is positive.\nAnswer: z**(-307\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/w**11)\/(w**(-1\/9)*w)*(w**(-2\/27)*w)\/w**(-2\/3))**(-19))**(-16) assuming w is positive.\nAnswer: w**(-76304\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let 3*k**5\/2 + 72702*k**4 + 877210779*k**3 - 90226109070*k**2 + 178697651175*k\/2 = 0. Calculate k.\nAnswer: -24285, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of a**3\/3 - a**2 - a + 2. Let m be s(-1). Solve -3*n + 4 = m*i, 3*i - 3*n - 8 = 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vrz when three letters picked without replacement from rrrurzzurrrruvur.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 15495376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*j - 4 = 1, 45 = -2*f + j. Let r = 21 + f. Let s(b) = 18*b**3 - b**2 + b. What is the units digit of s(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 6 = s. Let v be 0\/(s\/(1 - 3)). Let n(c) = -c**2 - 8*c - 1. Let z be n(-4). Solve 5*b = -z, -2*o + v = -3*b + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -16*w - 238. Let g be z(-8). Let n(r) = 41*r + 8. Let q be n(6). Let x = q + g. 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: Four letters picked without replacement from {f: 4, m: 7, z: 1, g: 2, d: 4}. Give prob of picking 2 m and 2 d.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 + 6*f**2 + 6*f + 135. Let l(z) = 2*z**3 - 4*z**2 + 3*z. Give j(x) + l(x).\nAnswer: x**3 + 2*x**2 + 9*x + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/4)\/(-24)*6\/(-15)*-20.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 609330356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together 10 and -2038.\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 2*w = -4*x - 138, x - 3*w = 133. What is the least common multiple of 22 and x?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**5 + 6*y**5 - y**5)*(-82 + 176 - 79)*(2 - 3 + 3).\nAnswer: 90*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*a + 7 = 10*a. Let n(h) = 16*h**3 - 62*h**2 + 83*h - 23. Let j(c) = -8*c**3 + 31*c**2 - 42*c + 11. Let p(o) = a*j(o) - 4*n(o). Factor p(u).\nAnswer: -(u - 1)**2*(8*u - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 726 - 346. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3\/5615 + -15724\/2105625. Is x > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -5438060 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 + 8*s**2 + 8*s + 10. Let l be g(-7). Is 3 + l\/((-3)\/(-29)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(1\/4)*t*t\/((t\/t**(1\/3))\/t)*t)\/(t**(1\/2)\/t*t)**13*(t**(-1\/3)*t**(-1\/4))\/((t*(t*t\/(t\/(t**(-5)\/t)))\/t)\/(t**(4\/5)\/t)) assuming t is positive.\nAnswer: t**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 129851, 259738, 389619, 519494, 649363?\nAnswer: 779226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.15 + 0.05. What is the smallest value in 1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -25*h - 45. Suppose 5*j = -5*q - 35, -2*j + 3*j = 3*q + 1. Let t be x(q). Solve 0 = t*o - o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + 1101110111?\nAnswer: 1101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 2*z - 29, -3 = -5*z + 7. Suppose 13*q - h = 40. Solve 2*b + 0*b = -4*s - 18, -q*b + 5*s = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(-2\/3))**(4\/7))**(-39) assuming f is positive.\nAnswer: f**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-3)*8\/((-24)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -24 + 55. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hyt when three letters picked without replacement from {h: 4, y: 3, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -114 or -224?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q**(-1)*q)**(1\/3)\/((q*q**(1\/2))\/(q*q**3)))\/((q**(2\/9)*q**5*q)\/(q*q*q**(-2\/7))**(8\/3)) assuming q is positive.\nAnswer: q**(191\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2412, 3, -1, -10\/9, -0.4, 1\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*c + 3*c**2 - 4*c + (c - c - c)*(4*c + 12 - 14 + c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18010.1*0.5.\nAnswer: -9005.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u - 12. Let i be c(16). Suppose -16 + 0 = i*y, -3*h + 4*y + 406 = 0. Suppose -3*j - h = -8*j. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -5*t - 19. Suppose 2*j + 53 = -5*r, -4*r - 2 = -5*j + 14. Let l(q) = -q - 5. Let h(o) = r*l(o) + 2*b(o). What is h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 7*a**2 + 5*a + 4. Calculate r(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 164956?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-33)\/((-4 - 14\/(-4))*6). Solve -4*h - 13*u = -x*u + 16, 0 = 3*h - 5*u + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x, 1 u, and 1 v when four letters picked without replacement from {x: 2, p: 1, s: 7, v: 6, u: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 + -1. Let o be (17 + -2)\/(3\/2). Solve 2*t + 2*u - o = -d*u, 4 = 4*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 28, 2\/7, -2\/3, -9.2?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 69 + -68.99999752. Round a to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -22, 3\/5, 58, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 31*u**2 + u. Let o(s) = -20*s + 23. Let i(r) = 9*r - 10. Let l(z) = 7*i(z) + 3*o(z). Give p(l(g)).\nAnswer: 279*g**2 - 183*g + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1221221002 (base 3) to base 12\nAnswer: -1a3b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 399 - 256*x**2 - 802 + 406 to the form o*x + n + l*x**2 and give l.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 493960005 a multiple of 7315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d + 53. Let m(o) = 68. Let n(c) = 6*i(c) - 5*m(c). Let a(t) = 3*t. Give a(n(b)).\nAnswer: -18*b - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -62*o + 6530. What is the smallest common multiple of 200 and c(90)?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*l - 2*c - 9 + 26 - 5, 10*l = 7*l - 3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1079253671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3 - -3) + (119\/(-2))\/(44\/(-3520))?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v + 9*v - 2*v - 5*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 17881194 to the power of 1\/2, to the nearest integer?\nAnswer: 4229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (40091 - 7609 + 29245 + 67969)*(-2*c**3 - 2*c**2 + 2*c**2) to a*c**3 + q*c + k + z*c**2 and give a.\nAnswer: -259392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*k + k + 688*k**2 - 2*k**3 - 687*k**2 - k**3 + 46 to a*k**2 + t*k + n + p*k**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y - 1. Let v(a) = 6*a - 62. Let b(w) = 3*n(w) - v(w). Let c be b(6). Solve -16 = 4*g - m + c*m, g + 4 = 4*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -156461382 by -9.\nAnswer: 17384598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 523 by -6.\nAnswer: -523\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2. Let v = 2 - 1. Let u(i) be the second derivative of -i**6\/720 - i**4\/6 - i. Let g(b) be the third derivative of u(b). Give v*q(j) - g(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/3834 and 83\/10?\nAnswer: 19170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*((z*z**2)\/z)\/z*z)**(-33)\/(z**(2\/15)*z**(-8))*((z\/(z*z*z**(1\/2)))**(-36))**(-30) assuming z is positive.\nAnswer: z**(-25667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7 + (3 - (-6)\/(-2)). Suppose 5 = -5*o + 165. Suppose -5*g + z + 18 = 3*z, -5*g + 30 = 5*z. Solve 0 = -5*k - 3*n + o, -3*k - g*n = -p*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 227, -2, -0.2, -1\/37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 22220, -10.4, 1 in ascending order.\nAnswer: -10.4, 1, 22220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**2 + 33*o - 278. Let f be i(7). Which is the third smallest value? (a) -0.5 (b) f (c) -0.054 (d) 5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4a (base 14) to base 7.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -148, -186, -296, -514, -876, -1418?\n\"Answer: -6*z**3 + 4*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 8. Let h(o) = 3*o**2 + o - 5. Let i be 28\/8 + -3 + 6\/4. Let d(b) = b**2 - 2. Give i*h(m) + j*d(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a**4 - 811239*a**3 + 54825759087*a**2 + 2249127512799*a + 6253928802918 = 0 for a.\nAnswer: -38, -3, 135227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from innlv. Give prob of picking 2 v and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, d: 1, w: 2, p: 1, j: 2, l: 2}. What is prob of sequence dj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of d**3\/3 - d**2 - 2*d - 1. Suppose 2*c = -3*y + 23 - 5, -4*c - 8 = -5*y. What is the units digit of n(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 10:44 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -60 * -0.425.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 12:58 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -4 less than -129\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 15 = -3*m. Let g(u) = 26*u + 1. Let x be g(1). Let b = x - m. Solve -3*z = -4*z - 4*f - b, 3*z = -f + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2 - 611*m - 4326.\nAnswer: (m - 618)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 95 = -0*o + 5*o, 2*y + o - 46 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - 2)*(1 + 0). Let u be (1 - 5 - q)*-1. Suppose -6*t + 24 = -u*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -76*c**3\/3 + 68*c**2\/3 + 8*c\/3.\nAnswer: -4*c*(c - 1)*(19*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 25 = -w, 7*z - 3*w = 8*z - 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/576 and -21\/5.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uih when three letters picked without replacement from {h: 1, z: 2, i: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -85\/24 + 73\/24. Does r = -1522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f. Let h(l) be the second derivative of -l**3\/6 - 3*l. Give h(u(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d**3 + 2*d**2 - 9*d + 12. Let a be v(2). Solve 5*s - 26 = -4*t, 6*s + 2*t - a = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -75, -80, -97, -132, -191, -280?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 34684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 - 8*r**2 - 8*r - 4. Let p be k(-7). Suppose 5*w = 4*h - 40, 0*w - p*h + 3 = 3*w. Is 14 a factor of -4 + (1 - (-68 - w))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 849538, 849508, 849478, 849448, 849418, 849388?\nAnswer: 849358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175964.\nAnswer: 2, 43991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 440 - 440. Is m >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33*d*p*t**3 + 87*d*p*t**2 - 8*d*t**3 - 41*p*t**3 + 6*p*t**2 - 2*t**3 + 5*t**2 wrt t?\nAnswer: 198*d*p - 48*d - 246*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 + 3*d. Let j be -2*(15\/(-10))\/1. Let h(y) = 3*y + 3*y - 7*y. What is j*h(q) + b(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 2*s - 4*o = -4, 0 = 4*o + 8. Solve s*c = 3*h + 12, -2*h = c - h - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 9) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -30? (a) 2 (b) 0 (c) -1 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -463743 + -138?\nAnswer: -463881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 96593.01 months to years.\nAnswer: 8049.4175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y\/y**(2\/27)))\/y**0)\/(y**(4\/5)\/y)**(1\/3))**(-25) assuming y is positive.\nAnswer: y**(-95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7405 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -490*r + 2 + 33 = -485*r. Let n(j) = 3*j + 5. Let s(b) = 5*b + 10. Give r*n(u) - 4*s(u).\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*c**2 + 13*c**2 - 3*c + 1 - c**3 + 17*c**2 + 1 - 39*c**2 to p + x*c**2 + f*c + i*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 14*j - 3. Suppose 3*w + 5*b = -9, -4 = -5*w - 2*b - 0*b. Let h be y(w). Suppose 6*s - 3*z = s + 47, -z - h = -3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (17 - 14 - 11 - (2 - -13))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 25 - (-270 - -320)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(45) + -1 + 1 + sqrt(540)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 + 6*d**2 - 5*d + 3. Let x be w(5). Solve k + 15 = z + 4*z, 0 = -z + x*k - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71355972.\nAnswer: 2, 3, 2213, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -86*s + 11989. Let i be x(139). Sort 9, -1, i, 2.\nAnswer: -1, 2, 9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 832 is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/312 and 10\/273?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {b: 1, h: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-86)*((-126)\/135 - (-2)\/(-5))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 174 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m - 5. Let u be (-45)\/108*-4 + (-6)\/9. Let l(z) = z - 1. What is u*x(o) - 2*l(o)?\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -25 take away 1222493423094.1?\nAnswer: -1222493423119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2683 is divided by 444?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73974873 is divided by 104.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/365736 and 113\/3528.\nAnswer: 1097208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/3)*q)**(-15\/4)\/(q\/q**1)**23 assuming q is positive.\nAnswer: q**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (3555\/1580)\/(9\/307668)?\nAnswer: 3, 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-11)*4\/(-4)*-1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3\/28)\/(-3))\/((20349\/136)\/(-171))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jpu when three letters picked without replacement from {p: 3, j: 3, u: 1, n: 1, x: 5}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 + 19*w + (-3 - w + 3)*(-2 + 3 - 3) + 5*w - 4*w - 2*w - 1 + 1 + 5*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 - 2)*((4*x + 2*x**3 - 4*x)*(-2 + 0 + 4) + (0 - 3*x - 1 - 1)*(-2 + 2 - x**2)).\nAnswer: 7*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2 - 0.4. Which is the second smallest value? (a) y (b) 3 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3470 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 6 - 13 + 2 - y + 6. Let a(v) = -9*v + 5. Let x(n) = n + 40. Let z be x(-14). Suppose z = 2*h + 36. Give h*k(o) + a(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w - w + 2*w - w. Let q(l) = 12*l**2 - 1 + 1. Determine q(n(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 greater than or equal to -2737069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, -4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/228)\/(30\/(-2430)*9)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -134.793 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 89 + -89. Let v(j) = -j**3 - 4*j + 228. Let t be v(o). Let g = -77 + t. Is 58 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -262603 - -79403. What is b rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.01, 3\/4, -0.5, 32.63 in descending order.\nAnswer: 32.63, 3\/4, 0.01, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 68.85685 years in months?\nAnswer: 826.2822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a = 894 - 327. Let x = -23 + a. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nxi when three letters picked without replacement from iinicmiixicciccn.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -24.6 (b) 1\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -13 (base 5) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 65 - 64. Factor -1\/2*q**2 + 3\/2*q - k.\nAnswer: -(q - 2)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 5, 1, 15, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1559, 12648, 42847, 101744, 198927?\nAnswer: 343984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 649*o + 653*o + 655*o - 1954*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of z**10\/30240 - z**6\/144 - z**5\/60 + z**2. Let n(s) be the third derivative of j(s). Find the first derivative of n(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1956935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7962102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, w: 4, b: 2, l: 9}. Give prob of picking 2 w and 1 l.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (36\/(-108))\/(14 + -7)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95 = 29*r - 4139. Does 13 divide (-7 - 1*(-1 - 3)) + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from llslllllsl.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 384852 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-24)\/8*4\/(-6). Let q = -73 + 124. Suppose s = 5*l - j*l - 79, 2*l + s = q. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 234920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 1. Let g(d) = d**3 + 7*d**2 + 7*d + 9. Let m be g(c). Suppose -m*j + 62 = -127. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8421805, -16843608, -25265409, -33687208, -42109005?\nAnswer: -50530800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 - -35. Let t = -2150 - -2321. Calculate the highest common factor of t and z.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -3*y + 8. What is the first derivative of 4 - 2*f**2 - 3 - f**y wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 3*d - 110, 4*k - d = -k + 110. What is the remainder when (-1)\/(7\/1) + (6 - (-211)\/7) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 334 - 332. Calculate the common denominator of 1323\/180 + 3 + v\/5 and (-66)\/16*1\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -646727\/27054 + 1922\/81. What is the common denominator of s and -8 + 4\/(-22)*-21 + (-44 - -52)?\nAnswer: 3674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 - 9*l - 80. Let o be z(15). Sort o, 1, 2 in increasing order.\nAnswer: 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + q - 30 = 0, q = 37 - 38. Solve 104 = d*f - 57*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 565.2 + -0.46\nAnswer: 564.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004504868134 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 2 - ((-1 - -4) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1370525.5 rounded to the nearest ten thousand?\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4116, 4111, 4104, 4089, 4060, 4011, 3936?\n\"Answer: -n**3 + 5*n**2 - 13*n + 4125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 5*w**2 - 3)*(0*w**2 - 3*w**2 + 4*w**2 + (22 - 11 + 22)*(-10 - 3*w**2 + 10)) + 0*w - w**4 + 0*w.\nAnswer: -491*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6100584, 6100581, 6100578, 6100575?\n\"Answer: -3*x + 6100587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 394*g - 91*g + 3*g**3 + 233*g + 334*g.\nAnswer: 3*g**3 + 870*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -32*l**2 + 16*l**2 + 25*l**2 + l**3 + 15*l. Calculate the smallest common multiple of 10 and q(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/d**(2\/3))**(7\/2)\/(d\/d**(-6))**(-35) assuming d is positive.\nAnswer: d**(749\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {g: 2, c: 5, d: 1, x: 2, s: 5, q: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -222.2 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 118962413?\nAnswer: 17, 6997789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -46 divided by 75\nAnswer: -46\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*w - 14*w - 108 = 0. Suppose -5*i + h = 1234, -8*h - 996 = w*i - 11*h. Which is smaller: i or -245?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2\/3*p**3 + 80\/9*p**2 + 0 + 0*p - 2\/9*p**4 = 0. What is p?\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjl when three letters picked without replacement from {j: 2, l: 8, g: 2, a: 3, p: 4}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/4347 or -17188?\nAnswer: -17188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 8:01 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3*i - 12 = 0, -5*i + 0*i = 15. Let w(v) = v + 5. Let f be w(-5). Put f, r, -2 in descending order.\nAnswer: f, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 87, 2, -3 in ascending order.\nAnswer: -3, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -6*k - 7. Let v be s(-2). Which is the second smallest value? (a) 0.1 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3+-304.6373090935\nAnswer: -307.6373090935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*h - 25*h**3 + 25*h**3 - 7*h**5 wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -11\/7, 86, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 162 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q**3 - q + 1. Suppose -4*r + 186 = 30. Let d = r + 10. Let j be 10\/(-7) - (-21)\/d. Let s(x) = x**2 - x - 1. Determine j*s(g) + f(g).\nAnswer: 2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -8*c**2 + 44. Let t(r) be the second derivative of -7*r**4\/12 - r**3\/6 + 45*r**2\/2 - 58*r. Let y(w) = 3*m(w) - 4*t(w). Let y(q) = 0. What is q?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 163 + -163.2. Let z(j) = j + 7. Let v be z(-6). Let k = 2.9 + 1.1. Which is the closest to v? (a) 5 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 2021 and 7259.36.\nAnswer: 9280.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of (0 + 126\/(-8))\/((-3)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -2*p - 2. Let y be c(-2). Suppose -y*k - 156 = -5*k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 25\/11, -4, -77, -1.\nAnswer: -77, -4, -1, 25\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1332623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -7363028 (base 10) in base 12?\nAnswer: -2571018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 121 != 608\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24\/17 + -103\/85. Let d = -22 + 27. Let h = -57\/200 + 4\/25. Which is the nearest to u? (a) -0.1 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times 68621172\nAnswer: 137242344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 8, 5\/2, 0.02, 2\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 4:09 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 295327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 3 = -15. Let s be ((-52)\/o)\/(4\/6). Solve -3*n + 14 = -2*h + n, 4*h = 5*n - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12319000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v - 7. Let n be h(-5). Suppose -n = -5*f - c, 0*f + 11 = -4*f + 5*c. Let r = -3\/19 - 4\/95. What is the closest to f in 3\/7, r, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 795 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be 388*(13\/2*42\/84 - -2). What is the highest common factor of 105 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17559*t + 2*z + 6 = -17564*t, -2*t - 9 = 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 0*u - 5*u - 17 = 0, -b - u - 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -273776 smaller than -8487086\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-13 + (-10)\/5)*(-8)\/5. Suppose 5*q + 0*u = 3*u + 36, 5*q + 3*u - a = 0. Sort -0.5, 1, q.\nAnswer: -0.5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-1 - (39 + 26))) + -26?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/3)\/((-2)\/582). Suppose 2*j - x = 419, 4*j + 44 = -3*x + 857. Suppose -h - m = -3*q - 6*h, 5*q - j = 3*h. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -3*w**3\/7 + 168419*w**2\/7 - 280692*w\/7 + 112276\/7 = 0.\nAnswer: 2\/3, 1, 56138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 12753.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-19)\/(57\/618)*-1 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u**2 - 2 - 4*u**2 + 3*u**2)*(2*u - u + u).\nAnswer: 4*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 4*v**2 - 6*v + 4. Give z(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2*u + 5*h = 110119, -3*u + 5*h + 110129 = 0. What are the prime factors of u?\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 - 2 + 2)*(-3*s**3 + 31*s**3 - 26*s**3 - 18*s)*(1 - 4 + 5).\nAnswer: -4*s**5 + 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -514*h**2*y**3 + 4*h**2 - 30003*y**3 wrt h?\nAnswer: -1028*h*y**3 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 380209624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 AM and 9:53 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 - -24. Let b = -196 - -216. Suppose 52*m = 47*m + b. What is the least common multiple of m and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 - 223*x**2 - 466*x + 3225. Give m(225).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/6119 or -1?\nAnswer: -3\/6119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 88203, 176975, 265747, 354519, 443291, 532063?\n\"Answer: 88772*b - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2*u**3 + 13*u**2 - 643*u - 26. Let c be i(15). Let k(a) = 22*a**2 + a. Let t be k(-1). Solve c*l - 5*b = t, -b = -4*l + 2*b + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*m + 84 - 76 = 0. Which is the nearest to -2\/7? (a) m (b) 3\/5 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 8*c**2 + c - 3*c - 10*c**2)*(0 - 1 - 1)*(-271*c - 79*c + 5*c) in the form p + i*c + m*c**3 + d*c**2 and give i.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2 - 104*j\/5 + 8.\nAnswer: 2*(j - 10)*(5*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2435\/38610603 + 2\/10089. Let z = q - -160729\/19135. Do z and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 20*x - 79. Let r(f) = 102*f - 392. Let c(n) = -2*r(n) + 11*y(n). Let v be c(6). Solve 0 = -2*d - 13 + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (9 + 2*v - 9)*(254 + 79 + 262) in the form a*v + k and give a.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 667 + 8*q**2 + 54*q**2 - 63*q**2 - 667.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1561?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.6, -3\/2, -0.018, -0.4, -2 in ascending order.\nAnswer: -2, -3\/2, -0.4, -0.018, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 4501570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 4:44 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = 3*i + 3*k + 186, -2*k + 136 = 2*i. Calculate the greatest common divisor of i and 741.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(396) + -2*sqrt(396))*-1)**2.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 2) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -19*s**4 - 5*s**5 + 13*s**4 + 8*s**4 + (2*s**4 - s**4 - 2*s**4)*(4 - 2*s - 4).\nAnswer: -3*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of 0 + 32*o + 25\/2*o**3 - 129\/2*o**2. Let r(n) = 19*n - 32. Let t(q) = 5*f(q) - 21*r(q). What is the derivative of t(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 2.9 (c) -6 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 10, 6, 4, 4?\n\"Answer: m**2 - 7*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from diissdbmbismididsiii. What is prob of picking 1 m, 1 i, and 1 s?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 28*m**2 + 13*m - 9*m**2 - 9*m**2 - 9*m**2 in the form w*m**2 + z*m + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -178 - -176. Let t be -5*7\/(-17290)*o. Does -1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -75\/16646 and 39\/66584?\nAnswer: 66584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.3 + -0.87. Round o to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 618 - 275. Suppose -3*f + 95 = 5*h - 72, -29 = -f + 5*h. Calculate the greatest common divisor of f and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47.4 - 6.4. Let h = 63 - i. Let b = h - 21.9962. Round b to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1\/4, 0, -3\/5, -9\/119, -4, -5\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -151, -616, -1389, -2470, -3859?\nAnswer: -5556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 492987.\nAnswer: 3, 11, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from giiikkgigiii. What is prob of picking 1 k and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**5\/4 + 1025*j**4\/4 + 92523*j**3\/2 - 20907637*j**2\/2 + 325174697*j\/4 - 604266135\/4 = 0. Calculate j.\nAnswer: -577, 3, 5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -2*d**6\/15 - d**3 - 17*d. Find the second derivative of l(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 477238 is divided by 762?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/19, 0.1, -19, 4, 2\/7.\nAnswer: -19, 0.1, 2\/19, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/6)\/(43 - 2533425\/58905).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 81633\/5 - 210776341\/12910. Let j = 129763\/131682 - r. Calculate the common denominator of 68\/3 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-10)\/4)\/((-3)\/6). Suppose 0 = -4*n + 3*f + 12, -16 = 5*n - 4*n + 4*f. Suppose n = x - 6*x + p. Solve 5*s = -x + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -76303.\nAnswer: 381515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(110)*2 + (sqrt(110) - (sqrt(110) - 4*(sqrt(110)*2 + sqrt(110)) - sqrt(110))))\/(3*sqrt(250)*2*-3)*-5.\nAnswer: 23*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -40 - -58. Suppose -16*k = -c*k + 38800. Round k to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 339*i - 401*i**3 + i**2 - 2 + 147*i**3 + 255*i**3 to j*i + u + a*i**3 + o*i**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 - 42*o**2 + 383*o + 1210. Give p(10).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 43538798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 163338668 divided by 2237516?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 5839528962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 - (-3 + 0 + 2). Let y be (-1*s - -2) + 2. Suppose 3*a + y*a + 20 = 0, -5*v + 67 = 2*a. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -70203.\nAnswer: -4\/70203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.111274635 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4.1 times -3885?\nAnswer: 15928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**3 + 2541*o**2 - 496860*o - 1003908.\nAnswer: -3*(o - 538)*(o - 311)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 696\/10129?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -2. Let w = -4.9 + d. Let v = 0.3 - -0.7. What is the closest to w in v, 5, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 3*v**2 - 219. Let j(d) = -4*d. Determine t(j(g)).\nAnswer: 48*g**2 - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2182 + 2182.3. Let y = -0.101 + -3.899. Which is the biggest value? (a) 4 (b) 1\/4 (c) y (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10110001000 (base 2) to base 6.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -155 - -171. Calculate the smallest common multiple of 24 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -5*i + 17. Let v be s(2). Let t(o) = o**2 - 5*o - 3. Determine t(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 211390, 422782, 634176, 845572, 1056970, 1268370?\n\"Answer: g**2 + 211389*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1390, -56, -1, 16, -2 in descending order.\nAnswer: 16, 0, -1, -2, -56, -1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 245971 - 245975 = -4*a, 2*r - 2*a = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -2311259.1 to the nearest one thousand.\nAnswer: -2311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 295888*f + 295897*f - 11 + 4 - 591784*f + 7.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(187) - (sqrt(187) + 2*sqrt(187))) + sqrt(187))*6)\/(sqrt(11) - -1*sqrt(891)) + ((sqrt(153) + -1)*-5)**2 + 3 + 5.\nAnswer: -753*sqrt(17)\/5 + 3858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(8\/11)*c**(-5\/4)*(c\/(c**33*c))\/c*(c*c**1)\/c assuming c is positive.\nAnswer: c**(-1475\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.2 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13020243*f*w + 4296790*f wrt w.\nAnswer: 13020243*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1347 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 19*g - 43*g + 13*g + 13*g. Let m(f) = -9*f. Determine m(h(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z - z = 24. Suppose -12 = z*i, -6*l - 3*i = -5*l + 11. Let g be ((-2)\/(-8))\/(l*6\/(-48)). Sort -7, 2, g in descending order.\nAnswer: 2, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 8 - 4 - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.95? (a) -5 (b) 4.9 (c) 3 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = 2*x - 34, 2*x = -2*t + 29 - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 55113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**2 + 7*o - 5. Let q = 4 - 3. Let j be q*15\/((-3)\/(-1)). Suppose y - 6*y = j*k - 35, 3*k + 3 = y. Give r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 3*k**2 - 4*k + 6. Let z = -24 - -28. Let i be n(z). Let p(g) = -i*g - 2 - 7*g + 15*g. Determine p(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z. Let w(v) = 12*v - 6353307. Calculate s(w(t)).\nAnswer: 12*t - 6353307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 + 7*r + 3. Let u(d) = 3*d - 13*d + 4 + 2*d**2 + 9*d + 12*d. Determine -8*f(w) + 5*u(w).\nAnswer: 2*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + l**2 + 3*l + 4. Let d be b(3). Let a be (-3)\/2*(d - -1). What is the greatest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -74344.3 to the nearest 1000.\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 3. Let g(l) = -4 - 1 + 3 + m*l. Let c = 3 - 1. Give g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/334651 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from jpvhojv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 6 = 6, 86 = 2*u + 2*n. Let f = 58 - u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -4*y**2 - 445*y + 3180. What is p(-118)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*f*g*p - f*g - 2*f + 3*g*p - 112*g + 620*p - 2 wrt g.\nAnswer: 4*f*p - f + 3*p - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 223 - 219. Suppose -m*v - 5*i + 6 = 0, 0 = -v + 23*i - 19*i + 12. Solve v*x - 19 = 2*a - a, 24 = -a + 5*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.47 * 74.2044\nAnswer: -34.876068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u + 21. Let f be o(-19). Calculate the lowest common multiple of ((-406)\/145)\/((-2)\/f) and 77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 8*k**2 - 135*k - 420. Give i(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.8 - 1.7. What is the closest to x in -1, -5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19225783 to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 3*l + 15, f + 26*l = 29*l + 13. Calculate the greatest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 49368063 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 11*x**3 - 17*x**2 - 35*x - 10. Determine d(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -113012110210 (base 4) to base 14\nAnswer: -b389c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 610 and 549586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = -j + 6, -7393*j - 18 = 5*l - 7394*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 625 is divided by 99.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 73779431*c. Let z(v) = 6*v. Calculate q(z(d)).\nAnswer: 442676586*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15260 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 8*x - 5*a = 43, 2*x - 5 = -3*a. Let b(k) = k - x - 3 + 22 - 8. Suppose -4*u - 12 = 4*p, 4*u + 3*p = -2 - 7. Calculate b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 260 and 455.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 171192270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 22, 78, 172, 304, 474, 682?\n\"Answer: 19*y**2 - y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-19)\/(399\/(-6))*3\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -214 (base 10) to base 2\nAnswer: -11010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10502*w**3 + 46*w**2 - 46*w**2.\nAnswer: 10502*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -11 + 0 + (20 + -41 - -29)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 119760989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 220\/55 - (2 + -1). Let x(s) = 7*s. Let i(g) = -85*g. Let y(p) = -2*i(p) - 25*x(p). Let q(h) = -4*h. Give z*y(m) - 4*q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 472227*b**3*u**3 - b**2 - 263*b*u**3 - 2*b - 11*u**2 + 1 wrt b.\nAnswer: 2833362*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 0.3 < -1159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + c)*(-46*c**2 + 100*c + 76*c**2 - 26*c**2).\nAnswer: 4*c**3 + 100*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -116 (base 12) to base 10\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2*x**2 + 4*x - 7. Let k be g(-4). Suppose -k*o = -5*o + 12. Let m(d) = 4*d**2 + 6*d + 10. What are the prime factors of m(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the first derivative of -619*w**2\/2 + 801. Let l(b) = -b. Determine t(l(s)).\nAnswer: 619*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 16645*x - 7340471. Determine v(441).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14890228*u**3 + 131662*u**2 + 5 wrt u.\nAnswer: 89341368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 329, 1377, 3141, 5615, 8793, 12669, 17237, 22491?\n\"Answer: -r**3 + 364*r**2 - 37*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -239, 5, -4 in increasing order.\nAnswer: -239, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (24 - 13 + 22)*(-4 + f + 5*f + 3) as g + b*f and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of 0*b**2 + 1\/90*b**5 + 1 + 0*b**3 - 42*b + 1\/6*b**4. Factor d(z).\nAnswer: 2*z**2*(z + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5670996007 to the power of 1\/4, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 1 - 1)*(h - 3*h**3 + h**2 + 53571 - 53573 - 9*h**2)*(2 + 3 - 6) to u*h**3 + f + q*h + b*h**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1660.4484 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 5984 = -6000 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -1 and -1989.5212.\nAnswer: -1990.5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*h**3 - 10*h**3 - 23*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 610, 616, 616, 604, 574?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42.6 - -515.4. Let u = 548.96 - v. What is u rounded to 1 dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.44 - -0.64. Let t = -236.27 + 238. Let d = t + g. What is the smallest value in -5, 2, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8488368 by -1203.\nAnswer: -7056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3514*l**5 + l**4 + 8864*l**2 wrt l?\nAnswer: 210840*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 - 6*r**2 + r - 4. Let a be j(6). Let x(q) = 32*q**3 - q**2 + q + 3. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, -23680, -841 in increasing order.\nAnswer: -23680, -841, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 1\/105 (b) -0.4 (c) 1386 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -66440.851 rounded to the nearest ten?\nAnswer: -66440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:05 PM and 1:41 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -32*m**3 + 7006*m**2 + 14582*m + 884 = 0.\nAnswer: -2, -1\/16, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51154857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of 11*n**5\/20 - n**4\/24 - n**3\/6 - 3*n**2. List the prime factors of d(-1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**2 + 24. Suppose 4 = -2*k + 6. Suppose c = t + 14, c - 11 - 15 = 2*t. Let x(z) = z + 1. Let p(o) = k*y(o) + t*x(o). Factor p(m).\nAnswer: 3*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24.9 + -25. Let v = -5.1 + 0.1. Let j be (-8)\/24*3\/4. What is the closest to t in v, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*(4 + 244\/(-60)). Let r = 0.3 + -0.8. Let d = 2.7 - 2.3. Put j, r, d in increasing order.\nAnswer: r, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3\/4 - 374*l**2 - 7501*l\/4 - 1501.\nAnswer: (l - 1501)*(l + 1)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 51031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000554129 to 7 dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 826\/(-56) + (-18532)\/656?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**2*j - 2*a**2*w - 1588*a*j**2*w + 52*a*w + 6*a + 3*j**2*w - 48*w wrt j.\nAnswer: a**2 - 3176*a*j*w + 6*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/3))**(4\/11)\/((o\/(o**4*o))\/((o\/o**(-5))\/o))*((o**(-1\/2)*o)**(12\/5))**31 assuming o is positive.\nAnswer: o**(7583\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -154 - -119. Let d(p) = -900*p**2 + 35*p + 420. Let m(g) = -75*g**2 + 3*g + 35. Let b(x) = k*m(x) + 3*d(x). What is the derivative of b(t) wrt t?\nAnswer: -150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k - 49. What is the remainder when 15 is divided by u(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = l - 0. Suppose -l*r + 3*i = -0*r - 9, -2*i - 6 = 4*r. Suppose 0 = 19*z - 10 - 66. Solve q = -r*q - z*a - 17, 0 = 2*q - 5*a - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + ((-14 - -3) + 1 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = 12, q + s + 0*s = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 2\/375505?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/(-6)*(-2 + -1). Suppose 6 = 2*f + 2*w, 4*f = w - 2 + 14. Suppose 2*m = 0, -s*k + f*m = m + 18600. Round k to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -4*z**2. Let c(s) be the first derivative of 2*s**3 - 9. Determine c(u(x)).\nAnswer: 96*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-187)\/209 + 5\/((-475)\/10). Is a != 9\/401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13233012331 - 23323?\nAnswer: 13232323002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 711 and 866446641?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72050 = 14*t - 16*t - 2*r, 2*r + 12 = 0. Is t a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 862 a factor of 6965857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 2*t**2 - 130*t = 0. What is t?\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21083*c**4 + 7840*c - 1 wrt c.\nAnswer: 252996*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 6*n + 6. Let s = 13 + -18. Let w = n - s. Solve 4*d + w*i = -2*i - 20, -4*i = 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3388599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*d - 731 + 731 + (4 + 10 - 1)*(7*d + 65 - 65) to g*d + s and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -1\/4 (c) 0.30204 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4*z + 156 = 0, j = -4*j + 2*z + 192. Let b be (-1)\/4 - j\/(-56). Let p = 3.8 + -0.8. What is the closest to 0.1 in p, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y + 9. What are the prime factors of g(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -21, -44, -67, -90, -113?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1843021*w**2 + 3210847 wrt w.\nAnswer: -3686042*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 16*k**3 - 5*k**2 - 68*k - 17. Is g(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1084 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -4*t - 2. Let u be -1*4 - (5 - 7). Let d be p(u). Solve -20 = -d*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 401172026 and 9890?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q + 1. Suppose -1 = 2*y - 5. Suppose 58*x = 55*x + 81. Let w(t) = -27*t + 79*t - 22*t - 3 - x*t. Calculate y*w(v) + 7*r(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 1. Let v be -1112*(-6)\/12 + -8 + 3. Let z = 552 - v. Let o(k) = -2*k - 2. Calculate z*o(i) + 3*c(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23103*p - 720*p - 2323*p + 22426*p.\nAnswer: 42486*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -3)*(-2210)\/(-595)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of 9\/2*f**2 - 3*f - 1\/6*f**4 - 7\/6*f**3 + 1\/20*f**5 + 0. What are the prime factors of p(6)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1)*r\/r**(-7)*(r*(((r\/(r**(-1\/3)\/r)*r*r)\/r)\/r)\/r)**14)**35)**(-37) assuming r is positive.\nAnswer: r**(-154105\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 201.63 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -431\/18 - -490\/9. Suppose 2*m - 3*l = -39, 2*m + 5*l = 2*l - 33. Find the common denominator of 159\/m - 12\/4 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -43796 or -43795?\nAnswer: -43796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -718, -717, -714, -709, -702, -693?\n\"Answer: s**2 - 2*s - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 3*(-26)\/(-6) + (3 - 0\/4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -109, -218, -329, -442, -557, -674?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8\/29 - -214\/145. Let k = i + -13\/15. Which is the closest to 1? (a) -3\/10 (b) -2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2*g = -230. Let r = g + -90. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pfmpmffiiffpp. Give prob of sequence im.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/5 + 404694*h**2\/5 + 485622*h + 3642138\/5.\nAnswer: 2*(h + 3)**2*(h + 202341)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z + 5*m - 1185, -m - 483 = 5*z - 7*z. Let y = z - 2158\/9. Is y not equal to 1\/184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -5*a**3 - a**2 + 2*a + 37. What is the lowest common multiple of 1197 and j(-5)?\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-10))\/(-5*(-1)\/20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 52283.1 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/14)\/((-8)\/((-336)\/(-7)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y*y*y**(-3\/5)*y*y)*y**(-6)*(y**(-1\/3))**(-15\/8) assuming y is positive.\nAnswer: y**(-311\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 676090, 4.9, -3 in decreasing order.\nAnswer: 676090, 4.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*(z\/z**(-9))\/z*z*z*z**(4\/21)*z*z)\/((z*z\/(z*(z\/z**(-33))\/z)*z)\/(z*z**29*z)) assuming z is positive.\nAnswer: z**(1600\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + -2 + sqrt(1377))*-4 + ((-2 + sqrt(1377))*3 - sqrt(1377))*1)**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -5*o + 5. Let v be k(1). Suppose -5 + 3 = -m. Suppose -3*g = -x + m*x - 9, v = -x. Sort 2, g, -2.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19772 is divided by 3699?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 + -36. Let a = x - -24. Sort -2, a, 16 in ascending order.\nAnswer: -2, a, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14 - 30*b + 14.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 13*i. Let g(c) = -1129*c. Give g(p(u)).\nAnswer: -14677*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11529 - 69173\/6. What is the second biggest value in 1, a, -896?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 962198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 10*z - 30. Suppose 2*y + 2*y = -4. Sort 1, z, y, 0 in descending order.\nAnswer: z, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/39 (b) 12 (c) -3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 12:35 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7, z: 1}. Give prob of sequence xxz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - g + 28 = 2*g, 0 = 5*g. Let x be (-7 - i)*1\/(-2). Suppose x = 2*m - m - 10. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.105 + -3.105. Let t = 44 - 37. Put x, t, 4 in increasing order.\nAnswer: x, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 460615 is divided by 20925.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -4*d + 6*d + 6, j - d = -1. Let s be (j\/4)\/((-18)\/(-36)). What is the units digit of ((-30)\/(-24))\/(s\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76628 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21141 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -43757121, -43757113, -43757105, -43757097?\n\"Answer: 8*n - 43757129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 12:32 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from {f: 1, o: 4, l: 9, u: 1}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -576, -1385, -2520, -3981, -5768, -7881?\nAnswer: -10320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d\/(d\/((d\/d**10)\/d))*d*d*d**(-3) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2 + sqrt(7))*-3*-3 + (3 + sqrt(847))*3)*-1)**2.\nAnswer: 2268*sqrt(7) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/7 in -1, 0.12175, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 162 + -182. Let p be z*467*(-9)\/(81\/(-4500)). What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3480 is divided by 3431.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7 - 1bd?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/172 + (-173116)\/(-38872)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 4*s**2 - 19765*s + 138357. Give r(7).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 12, -r - 4*g + 0*g = 14. Solve -121 + 125 = -r*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 8347*r - 36. Let f(u) = -16691*u + 66. Calculate 6*f(j) + 11*q(j).\nAnswer: -8329*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 6 = -9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -h + 9. Suppose -i + h = -2. Suppose 2*f + 110 = i*t - t, 3*t - 5*f = 72. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 37667, 37335, 36445, 34721, 31887?\n\"Answer: -46*m**3 - 3*m**2 - m + 37717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 43 - 19. Let w be (8\/(-14))\/(k\/(-28)). Let d = 1.36 + -0.36. What is the nearest to -2 in w, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1 + 0.1. Let c = -0.052 - -79.052. Let g = c + -81. What is the closest to -0.2 in g, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 63 and 65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 53169 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of z**5\/5 - z**4\/12 + 49*z**2 + 3*z. Let h(c) = 6*c. Calculate h(a(t)).\nAnswer: 72*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1373344, -5493378, -12360100, -21973510, -34333608?\nAnswer: -49440394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 + 4*u**2 - 6*u - 14. Calculate the remainder when o(-4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 b, and 1 i when three letters picked without replacement from iebts?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -4*j - 14. Suppose q - 1615 = -4*u, 0*q - 1624 = -4*u - 4*q. Let o = 395 - u. Give y(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -41*i**2 + 41*i**2 + 3*i**5 + (-2*i + 1 - 1)*(-i + i + 2*i**4).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**2 + 1. Let f be y(-1). Suppose 4 = i - f*i. Solve -2*b + i = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18879, 24943, 31011, 37089, 43183, 49299, 55443?\nAnswer: 61621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -3267 * 0.0696.\nAnswer: -227.3832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-24)\/40)\/(1\/5)*(-3 - 3100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**3 + 136*k**2 - 132*k.\nAnswer: -4*k*(k - 33)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 + (-15 - -12) + 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g**2 - 3*g**2 + 3*g**2)*(-2149*g + 46 - 103 + 57).\nAnswer: 6447*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -4148, -8296, -12444, -16592?\n\"Answer: -4148*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -279 + 282. Find the second derivative of 4*w**z - 4*w**3 + 0*w**3 + w**3 + 51*w - 50*w**2 - 197*w wrt w.\nAnswer: 6*w - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9874761 to the power of 1\/2, to the nearest integer?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 13*w**2 + 4*w - 3. What is v(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d = 5*x - 30, -497*x + 24 = -2*d - 492*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, -62, 2457?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -0.1, -23, 3\/2 in descending order.\nAnswer: 5, 3\/2, -0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*h - 22*h - 14*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, 225442, -11, -6.\nAnswer: -11, -6, -4, 4, 225442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/1451 < 3\/1787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*i**2 + 8*i - i**2 - 3*i**2)*(9*i - 6*i + 9*i).\nAnswer: 72*i**3 + 96*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -90*q**2 + 89*q**2 + 0 + 8*q**3 + 1 - 8*q - 1 - q**4 to the form x + s*q**2 + w*q**4 + k*q + u*q**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fwfaaffggfwafgf. What is prob of picking 3 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2879.96 - -2880. Which is the fourth smallest value? (a) 2 (b) -2 (c) 0 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 25, 53, 93, 145?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y**2 - 519500*y - 33735031250 = 0. What is y?\nAnswer: -129875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -367*j + 5459. Calculate n(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = -4*x - 2*r, -5*r = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*z - 57*z = -407. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5967)\/(-102) - 76)*(-24)\/(-10)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 10*w**2 - 18*w - 26. Determine r(-12).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2130631 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 30 = 3*o - 18, 0 = 5*o + 5*q - 80. Solve -5*g = j - 16, -2*g + o = 2*g + 4*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 47*f**3 - 6*f**2 - 6*f - 45. Let b be l(-5). What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6315235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 6)*(-7*c**4 + c**4 + c**4).\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 9558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 7a (base 14) to base 11\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 2 = b, -5*u + 0*b - 5 = -2*b. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4 + 36*a**3 - 35*a**2.\nAnswer: -a**2*(a - 35)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 136 - 150.4. Let r = 14 + q. Which is the closest to 3? (a) 0.2 (b) -3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 830317601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**2 - 2*y + 3. Let d(l) = l - 1. Let u(g) = 3*d(g) + m(g). Let v(c) = -9*c**2 - 8*c + 1. Let o = -11 - -5. Let z(p) = o*v(p) - 51*u(p). Factor z(i).\nAnswer: 3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -893475.6 and 22?\nAnswer: 893497.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -71, -75?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -3*a + 5*j + 5, 0 = 5*a - 4*j - 18. Suppose 2*p - 120 = -a*p. Calculate the greatest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, r: 1, n: 1}. Give prob of sequence rk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12970, -25948, -38936, -51940, -64966?\nAnswer: -78020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 4, 2515, 5, 1 in increasing order.\nAnswer: 1, 3, 4, 5, 2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -69 greater than -6989\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 598980 divided by -15\nAnswer: -39932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120*j**2 - 9*j**2 - 435*j**2 + 61*j**2 - 485*j**2.\nAnswer: -748*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of r**5\/60 + r**4\/3 - r**3 - r**2. Let y(l) = -l**3 + 11*l**2 - 10*l - 9. Let b be y(10). Let x be t(b). Solve x*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (88\/(-24))\/(12\/((-252)\/(-7)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(-10)*28\/20*114\/266?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {w: 2, j: 10, z: 2, u: 1, t: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of z**7\/5880 + z**6\/840 + 2*z**4\/3 - 7*z. Let b(f) be the third derivative of m(f). What is c in b(c) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of c*v**3 + 19*c*v*w**2 + 3*c*v*w - 6*c*v - c*w + 2*v**3 - 3*v**2*w**2 - 5*v**2*w wrt v.\nAnswer: 6*c*v + 12*v - 6*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 6*t**2 - 14*t - 43. Let p be z(-5). Suppose 4*n - 2*l = 16, -5*n - 6 = 6*l - 2*l. Solve p*k + 8 = -n*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 4*z**2 - 6. Let g(i) = 13*i**2. Give n(g(c)).\nAnswer: 676*c**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 6*b - b - 9*b - 2*b**2 - 11 + 2*b in the form c + x*b + h*b**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146*f + 209 = -11*f - 466. Solve f*w = -k, -19*w + 11 = -15*w + 3*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -112 (base 5) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 7:19 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 20*h**3 - h - h + 7 - 8 to w*h**3 + b*h**2 + t*h + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 52*f**4 - 8*f**4 - 11*f**4 + (-2*f + 2*f - f)*(-2*f**3 - f**3 + 2*f**3) - 5*f - 2*f**4 + 5*f - f**4 + 3*f**4 + 0*f**4.\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of -i**7\/945 + i**6\/270 + i**5\/90 + 4*i**2 + 6. Let s(k) be the second derivative of y(k). Solve s(p) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 0*t - 3*t)*(3 + 0 - 2) + (38*t + 65*t - 104*t - 98)*(0 + 2 + 0).\nAnswer: -4*t - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42587.\nAnswer: 37, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 4:17 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 321.137 + -0.05?\nAnswer: 321.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-4)*(-5 + -3). Suppose -k*y = -0*y - 36. Let q = y + -5. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 119\/1410 - -3287\/2820. Solve -i*y**2 + 1\/4*y**3 + 0 + 0*y = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10192 - 10178. Solve 0 = 24*a - 154 - h for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1331 + 5910. Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 15 = 0, 0 = 5*t - 3*y - 55 - 0. Let w(f) = 9*f - 2. Let n(g) = -14*g + 3. Calculate t*w(u) + 5*n(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (16*h + 31*h + 8*h)*(8*h**2 + 3*h**2 + 4*h**2)*(0*h - h - h)*(-5 - 10 + 8) as k*h + n*h**2 + p*h**3 + r*h**4 + l and give r.\nAnswer: 11550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -4*y + 2. Let g be n(-3). Let w = 24 - g. What is the greatest common factor of 110 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 205*t - t**3 + t**2 + 0 + 2 - 206*t as a*t**3 + q + n*t + y*t**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -105 + 104.96. Let k = 2 - 1. Put k, j, -1 in increasing order.\nAnswer: -1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1602, -1600, -1596, -1590, -1582, -1572, -1560?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 466 a factor of 8365632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1299859?\nAnswer: 11, 118169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (0 - -5)) + (2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) - sqrt(57)\/(sqrt(12)\/sqrt(4)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5794 - -23843. List the prime factors of x.\nAnswer: 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1053 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (93\/(-6) - (-3961221)\/255530)*10?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 60935537 = 7*v - 35244484, 5*m = v - 96180003. Round m to the nearest one hundred thousand.\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -185*a**3 + 3*a**2 + 15*a + 35. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 - -54. Let w = -10 + m. Let j = w + -28. Which is the biggest value? (a) j (b) 17 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -i*j*q**2 + 23274*i*j + 146*i*q**3 - 6*j*q**3 - 132*j*q**2 + 4*j*q + 21*j + 18*q**2 + 1 wrt i.\nAnswer: -j*q**2 + 23274*j + 146*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + 4*o + 376, -2*p - 2*o + 177 = -97. Let w be 3\/(-15) - p\/(-10). Let j = w - 8. Sort 0, j, -1.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6565 + -13595. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from yndklydneenldnky.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 27*(-2)\/3*1. Let p = 32 + o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/11))**29 assuming s is positive.\nAnswer: s**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-23)\/(-6) + -1 + 3\/18. Suppose -2*k - r*k - 4*p - 6 = 0, -5*p - 16 = 2*k. Suppose -k*h + 235 = b - 64, 3*h - 446 = b. What are the prime factors of h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*((-14)\/49)\/(6\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 45*v + 181. Let m be h(-4). Let n be (150\/(-100))\/(m\/(-2)). What is a in -12\/11 + 42\/11*a**n - 42\/11*a + 30\/11*a**4 - 18\/11*a**2 = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -2 - -6) + -465 + 460 - 57?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes after 4:22 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-1)\/12*3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4051121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = 3*o, 6*q - 3*o - 2008 + 1990 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.58116 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q + 16, -2*q - 3 = -4*j + 1. Let r = -6 - -2. Let h = -1290 + 1292. What is the biggest value in h, -1\/5, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/305977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 0) + -7 + (1 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2761, -5546, -8653, -12244, -16481, -21526, -27541, -34688?\n\"Answer: -27*j**3 + j**2 - 2599*j - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 42721 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16329 = -45*z + 10671. What is the highest common factor of z and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*d**5 - 492*d**4 + 71116*d**3 - 225828*d**2 + 52020*d = 0 for d.\nAnswer: -85, 0, 1\/4, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 21*p - 6500. Suppose 4290 = 26*r - p. What is the greatest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*(l\/(l*(l\/l**1)\/l)*l)\/l)\/l**(-3\/7))**2\/(((l**(-1\/7)*l)\/l**(3\/4))\/((l**(2\/3)\/l)\/l**(-4\/9))) assuming l is positive.\nAnswer: l**(175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 169 - 174. Suppose -3*w + 2*q - 12 = 2*w, -w + 12 = -4*q. Is m >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 2:05 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.17 (b) -936 (c) 0.5 (d) -67 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 0*w**2 - 320*w + 134*w + 5*w**2 - 3*w**2 + 132*w as m + t*w**2 + z*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3346502.\nAnswer: 2, 37, 41, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -21, 4, 5, 142, 145, -2 in ascending order.\nAnswer: -21, -4, -2, 4, 5, 142, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 125 = 4*s, 4*s = -0*s + 4*i - 132. Let l be (-398)\/s + -5 + 6. Let j = 2011\/80 - l. Calculate the common denominator of j and 5\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 4*z = 31, 0 = -5*b + 979*z - 970*z - 83 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 25, -3\/64, 0, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5953, -37, -1\/5 in decreasing order.\nAnswer: -1\/5, -0.5953, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 395 - 395 = -4*f. Let g(x) be the second derivative of 0*x**3 + f*x**2 - 1\/12*x**4 + 3*x + 0. Let n(i) = 15*i**2. Determine g(n(q)).\nAnswer: -225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(228))\/sqrt(12) + sqrt(342)\/sqrt(2))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = g + 2*b, -4*b - 20 = -2*g - 6. Let s be (3\/4)\/(2\/8). Suppose -2*i = -s*i + 4. Sort i, -1, g in descending order.\nAnswer: g, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 15*q - 20 = 20*q, 5*s - 2*q + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 139727562 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 13\/3414, -1\/77, -1 in increasing order.\nAnswer: -1, -1\/77, 13\/3414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -9291 by -3.\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1198*l**4 + 14*l**2 + 2101 - 511*l**4 - 14*l**2 with respect to l.\nAnswer: -6836*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 + 5*h**2 + 8*h + 11. Let r be s(-3). Suppose -r*o - 19 = 4*k + 12, 0 = -2*o - 5*k - 26. Which is the smallest value? (a) 1\/3 (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -3*z + 4. Let a(w) = 8*w - 11. Let i(x) = 4*a(x) + 11*j(x). List the prime factors of i(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 76.9515 centuries?\nAnswer: 7.69515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 862.0000975 + -862. What is d rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1106, 1084, 1036, 956, 838, 676, 464?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1985289 (base 11) in base 10?\nAnswer: 3345142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 3*z - 4. Let b = z - -3. Suppose 0 = 3*c - 2*g - 11, -5*c - 18*g + 18 = -21*g. Calculate the remainder when b is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**1\/k)**(-29)\/((k*k**(-1))\/k)**(-21\/8))\/((k*(k\/k**(1\/9))\/k)\/((k**6\/k)\/k)*k**1\/k*k**(1\/3)\/k) assuming k is positive.\nAnswer: k**(83\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -8*w**2 + 7*w + 130. Let u be z(0). What is the highest common factor of u and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -298*f + 7120. Calculate the remainder when s(23) is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 110.9 + -111. Let d = -0.1 - 0.1. Which is the biggest value? (a) j (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3666507145 to the nearest integer?\nAnswer: 60552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 427 - 427.1136. Round x to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 0*x = 9. What is the first derivative of -1 + 3 + 49*u**3 - 2*u**x + 2 wrt u?\nAnswer: 141*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58*v**2 + 109*v**2 - 24*v**2)*((-2*v - 2*v + 2*v)*(-2*v**2 + 0 + 0) - 2*v**3 + v - v).\nAnswer: 286*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 299928773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + q**2 + q. Let i(h) = 7*h**3 + 3*h**2 + 135*h. Give -i(p) + 5*x(p).\nAnswer: -2*p**3 + 2*p**2 - 130*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 159*w**4 + 33*w**3 + 13*w**2 - 49 wrt w.\nAnswer: 3816*w + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*p + 0*p + 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 83*z + 666. Let r be i(-8). Let v be (1\/r - 1323\/198) + 6. Let f = 3.9 + 1.1. What is the third smallest value in -0.17, v, -0.4, f?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k - 3. Let v(w) = -16*w**2 - 15*w - 6. What is 2*p(q) - v(q)?\nAnswer: 16*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-6)*48\/64*-1*(-5)\/(-1835)?\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1930721 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 0.06, -0.06, 2, 0.021 in decreasing order.\nAnswer: 2, 0.06, 0.021, -0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, c: 3, u: 2, p: 7, k: 4, a: 1}. What is prob of picking 1 k and 1 u?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 41*r - 53. Let u(f) be the second derivative of f**4\/6 + 10072*f. Give n(u(x)).\nAnswer: 82*x**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 6*z + l - 27, 0 = 3*z + 4*l - 6. Let f = z + -4. Put f, -2, 5 in descending order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3760046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8112 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dg when two letters picked without replacement from kbwwbgdpgwwggdgpw?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -4*y - 16. Let l be (10 - -8) + (2 + -2)*-1. Let a be l\/14 + (-22)\/77. Is y equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 PM and 3:02 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -217, -4, -1, 9580.\nAnswer: -217, -4, -1, 9580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -151*f + 1. Let r(y) = -853*y - 852*y - 5*y**2 + 2556*y - 851*y. What is n(r(v))?\nAnswer: 755*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -40 - -45. Suppose -o*c + 16 = 1. Suppose 0 = c*q - 3*v - 171, 2*q - 4*v = -v + 112. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.09 - 378.\nAnswer: -378.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 688 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 165 - 84. Let p = 114 - h. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -38 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1229 - 2304. Let y = -714 - w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 2 = -u, -225*u = t - 227*u + 2 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -3, -3\/4, -68278\/3 in decreasing order.\nAnswer: 0.5, -3\/4, -3, -68278\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1573) + 0 - sqrt(13)) + 4.\nAnswer: 4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, s: 1}. Give prob of sequence es.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4238775 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 65 = -7. Let g = -6 - a. Suppose 5*m + l = 63, 2*l = m - 3*l - g. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 76.87 - 76.57. Let p = 3 - 2. Which is the nearest to 6? (a) -5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 82268.75 micrometers?\nAnswer: 82268750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (15 - (0 - 3)) + -1 - -9\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 1 + 10 = 2*h, 2*a = h - 22. What is the least common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2355787 by 67.\nAnswer: -35161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, o: 2, r: 5, c: 1, n: 3, e: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than -41290100576?\nAnswer: -41290100573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37.0007220396 - 1.2.\nAnswer: -38.2007220396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(-2))**(-9\/4) assuming a is positive.\nAnswer: a**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 3*r = 2*r. Suppose 4*u + 1 = 5*l - 51, r = l + u - 14. Let m be ((28\/l + -2)*0)\/(-2). Which is greater: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 + 19*a**2 - 74*a - 88. Let b be f(-22). What is the highest common factor of 19052 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 - 564 = -5*i - u, -3*i + 347 = -5*u. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -4*l**2 + 7*l + 3. Let m(a) = 7 + 7*a - 6*a**2 + 13 - 16 + 3*a. What is -7*d(j) + 5*m(j)?\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -71466, -142964, -214458, -285948, -357434, -428916?\nAnswer: -500394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-53*v - 42226*v**2 - 7*v**3 + 42226*v**2)*(-2*v - 3*v + 6*v).\nAnswer: -7*v**4 - 53*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36854 is divided by 94.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 159223, 318449, 477661, 636853, 796019?\nAnswer: 955153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/11 (b) 0.5 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 2*r**3\/3 + 1. Let h(j) be the second derivative of 277*j**3\/6 - 4*j - 629. What is h(q(b))?\nAnswer: 554*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 2*o = 0. Suppose -5*g - 9 = -4*r, -3*r + 3*g + 5 + 4 = o. Let x = 22 - r. What is the lowest common multiple of x and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 + t + 1. Let u(x) = x**2 - 2*x - 2. Let n(r) = -4*a(r) - 2*u(r). Let m(z) = 11*z**2. Give m(n(p)).\nAnswer: 396*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-8) + (-430077)\/(-184)*(-3)\/(-9). Solve h*r + 56 = 793*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xq when two letters picked without replacement from {h: 2, g: 1, n: 3, x: 2, q: 1, c: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8\/(-20) + (-93)\/(-45). Let y = 247 + -245. What is the closest to -1 in n, y, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, u: 2, v: 2, s: 6, m: 1}. What is prob of sequence su?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -13 (b) 1\/18 (c) 9 (d) -0.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1\/13159 + -697509\/1079038. What is the common denominator of -39\/5 and n?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 546.4625cm?\nAnswer: 5464625000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37 and 3044611119.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -140953755.0000009 + 140953747. Let j = -8 - f. Round j to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(2*((-264)\/(-32))\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*c - 3*c + 224 - 3*c.\nAnswer: -2*c + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(9\/8)\/h)\/h)\/h**(3\/8))\/(h**18*h)**44 assuming h is positive.\nAnswer: h**(-3349\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 1, a: 2, q: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 662739 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 2158.771ml?\nAnswer: 2.158771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2438308392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2*i + 37 = 239, 2*i = 2*m + 98. What is the tens digit of (-166 - 0)\/(m\/25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -100465716 divided by -559\nAnswer: 179724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hxmxmmmhny. Give prob of picking 1 x, 1 h, and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 8897*s + 83 = 8900*s, 3*u = 2*s - 38 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -232063, -232064, -232063, -232060?\n\"Answer: p**2 - 4*p - 232060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the third derivative of 7*a**5\/60 - 7*a**4\/12 + a**3\/6 - 115*a**2 + 1. Let p be k(2). Let n = 11 + -15. Sort -3, 5, p, n.\nAnswer: n, -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/((c*c**15)\/c)))\/(c**(-6\/7)*c)*(c**(-2\/25))**48 assuming c is positive.\nAnswer: c**(1928\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 314840761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -65 + -26?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36 + 85*u**4 - 58*u**4 - 3*u**3 + 21*u**2 - 29*u**4 + u**3 to the form t*u**4 + n*u + c + v*u**2 + x*u**3 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21057613?\nAnswer: 349, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2, 2, 1111, 2944 in decreasing order.\nAnswer: 2944, 1111, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5285 or 6374?\nAnswer: 5285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -328 - -370. Calculate the remainder when a is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2349682 is divided by 2489.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - 14*r**2 + 914*r + 11938. Determine t(-13).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - (-4 - -15)) + (0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -23 by 2.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1517 + 1556. What is the nearest to 10\/3 in -0.2, j, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -17*t**2 - 4. Suppose 906*d + 195 = 909*d. Let n(b) = -273*b**2 - 65. Determine d*h(y) - 4*n(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10770\/4 - (-8)\/(-16). Let g = 51 + h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1915781 to the power of 1\/2, to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8714 or 8717?\nAnswer: 8714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40.903 - 5615.38048.\nAnswer: -5656.28348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - 5) + -1 - -8. Let d(b) = b**2 - 5*b + 10. Let f be d(j). Suppose -f = -2*g + 12. Solve 0 = w - 6*w + 5, k + g = 4*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 3*v**2 + v + 5. Let u be 294\/(-77) + (18\/22 - 1). Does 12 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1717?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 13.35 and 1216841.11.\nAnswer: 1216854.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4427934 seconds in milliseconds?\nAnswer: 442.7934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 25450496 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25573 is divided by 3123?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 166705.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + -1. Suppose -5*n = -i + a*i - 27, -n + 203 = 4*i. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3 + 1020\/5 + -3 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -25*u**3 + u. Let o be c(1). Let a be (-2 - -4)\/(3\/o). Let g(y) = y**3 + 16*y**2 - y - 12. Let r be g(a). Which is bigger: r or -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -19*c**2 - 2*c + 2. Let d be i(-2). Let j = -38 - d. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66, -130, -194, -258, -322?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.03 + 0.03. Let t = w - -1. Which is the closest to 0.2? (a) 5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + -7 + (1 - 0 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**4 + 125220*q**3 + 2503200*q**2.\nAnswer: 3*q**2*(q + 20)*(q + 41720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 906*z + 901*z + 15 + 849*z + 902*z - 3556*z.\nAnswer: 2*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1\/36, -1 in increasing order.\nAnswer: -1, 0, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*n + 71 = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1.11 less than or equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(1\/12))\/f**(-1))**2 assuming f is positive.\nAnswer: f**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.7? (a) 2786 (b) -2\/5 (c) 2\/2293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {h: 2, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*w + 65*w = -118. Let b = -2 - -2. Solve -3*a + 12 = -2*a + w*z, b = -2*a + 2*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 94 + -90. Let l(p) = -p - 1. Let f be l(-3). Suppose 0*s + x = f*s - 12, 4*s + x - 12 = 0. Solve -i*a + 5*c = 2, -s*a - c = -5*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.158, -2, -1 in ascending order.\nAnswer: -2, -1, 0.158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 3*r - 10, 0*r + r = -3*q + 6. Let h(k) = k**2 + 3*k + 2. Let y be h(-5). Solve -q = -5*f - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 610485 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(170) + sqrt(170)*-2)*-1 - (sqrt(170) - (sqrt(170) - 5*sqrt(170)*1)))\/(5*sqrt(810)*-1) + -3)**2.\nAnswer: -8*sqrt(17)\/15 + 18497\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence je when two letters picked without replacement from telsj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 51022.99mm in nanometers?\nAnswer: 51022990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*d**3\/4 - 51*d**2\/4 - 15*d\/2 = 0.\nAnswer: -10\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 + 6*h**2 + 7*h + 3. Let k be s(7). 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 g(d) = -d**3 + 8*d**2 - 15*d + 7. Let r be g(9). Let y = r + 718. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3220 + -10?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, x: 6}. Give prob of picking 4 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -14*n. Let p(c) = 17*c - 1. Let h(x) = 152*x**2 - 35*x + 2. Let z(r) = -h(r) - 2*p(r). Determine u(z(q)).\nAnswer: 2128*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 2*w = 3, 4*b + 9 = -5*w + 25. Let z = -64 + 383\/6. Is b >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {z: 1, e: 2, a: 2, q: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(c*c\/c**0)))**(2\/19))**12 assuming c is positive.\nAnswer: c**(48\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from {z: 1, s: 4, q: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {r: 4, d: 1, u: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1947.302 - 3.\nAnswer: -1950.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 303385593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/(-35) + ((-8)\/(-24))\/(7\/(-21))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14545*d + 43594*d - 14522*d + 1 - 14524*d - 1.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of y**8\/210 - y**5\/12 - 4*y**3\/3 - 17*y. Let c(x) be the second derivative of b(x). Find the second derivative of c(v) wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 31\/6 of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*f = 16*f - 6. Which is greater: f or -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 207.08 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2\/739389 - -51968374\/40666395. Let l = y - 32\/35. Is 5 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7289550, -14579049, -21868534, -29157999, -36447438, -43736845?\nAnswer: -51026214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (24\/(-20))\/(4\/(-570))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2109925619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 4\/7*x + 10\/7*x**3 + 18\/7*x**2.\nAnswer: 2*x*(x + 2)*(5*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4*n**2 + 1)*(4 - 2 - 1)*(591*n - 2514*n - 1304*n).\nAnswer: -12908*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9, 3, -1, -3, -3, -1, 3?\n\"Answer: k**2 - 9*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4)\/(1\/2). Let n = 3 - v. Suppose n = p - 0*p - 2. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-15) - 51\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -582018 + 142*q**2 + 582018 + q**3 - q to the form o*q**3 + l*q**2 + t + z*q and give l.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**2\/b**8)\/((b\/(b\/b**(-1\/2)))\/b**9))\/((b**(1\/8)*b)\/(b*b\/(b*b**(-4)))*((b**(-2)\/b)\/b*b)**(-15)) assuming b is positive.\nAnswer: b**(-301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - -8. Is 12\/13 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1353 = -209*k + 49*k + 6997 - 510 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the second derivative of -u**4\/78 + 188*u**3\/39 - 8836*u**2\/13 - 328*u - 2. Find i, given that l(i) = 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 9007 - 822. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1908 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 38412 and 780.\nAnswer: 2496780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5.7 - -6. Let v = -0.33 + 4.33. What is the closest to 0 in -2\/7, w, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10216446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/f**(-2\/3)*f*(f\/f**3)\/f)**(9\/5))**(-28) assuming f is positive.\nAnswer: f**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 9571.99139 + -0.5819?\nAnswer: 9571.40949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j + 9*j + 7 + 9*j - 13*j to c + i*j and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 982.3081 milligrams in nanograms?\nAnswer: 982308100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p**4 + 47690*p**3 + 285313986*p**2 + 12166511310*p - 83280674988 = 0. Calculate p.\nAnswer: -11901, -49, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11.42 - 211.72. Let q = -435 + 245. Let c = b - q. Round c to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.7 + 0.7. Let g = 2.03581 + -0.03581. Sort -0.3, n, 0, g in increasing order.\nAnswer: n, -0.3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -30 - -63\/2. Let b be (-5)\/20 - (-15)\/12. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.707 times -3803?\nAnswer: -2688.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 425\/(-525) - (1 - 5\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41 - 39. Let k be 16\/(-15) + h + (-2)\/6. Which is the nearest to -4? (a) 0.4 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7456 divided by -2.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h - 48*w = -54*w - 15, 4*w + 7 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(-6 + 0)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 213160640?\nAnswer: 2, 5, 7, 11, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*g - 265 = -85. Solve -g = 5*z + o - 0*o, 20 = -4*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 8 = q, 0*q + 27 = -q + 5*w. What is the tens digit of (-180)\/35*21\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 11010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 12 = 14. Let k(h) = h**2 + 7*h - 2. Let c be k(-5). Let v = c - t. Sort -2, v, -3 in increasing order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -435 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4719 - -1?\nAnswer: 471a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 + -11.1. Let h be (5\/(-2))\/(13\/(12 - -14)). Is r < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/34020 and -1\/135.\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 63 = -7*o. Suppose -o*w + 3*w + 96 = 0. Solve -m + 3*b = w, -m + b - 11 = -b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - (108 - 24) - -64?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 + b + 3. Let k(g) = g**2 - 19*g + 32. Let o be k(17). Let i be (13 - 13)\/(2\/o). Determine u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 - 4. Suppose 25 = b - 4*g, w*b + 3*g - 15 = -3*b. Suppose -b + 25 = 2*p - 3*v, 3*p - 9 = -3*v. Solve 14 - 39 = -p*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11265 and 2301815.\nAnswer: 6905445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1273 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/836957, -43, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8399908 and 52.\nAnswer: 109198804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 5*u + 4, -5*c - 4*u + 2*u - 25 = 0. Let s be ((-15)\/21)\/(6\/c). Let x = -29\/3 - -101\/12. What is the nearest to -2\/7 in s, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - l**2 - 2*l + 10. What is i(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 3*j**3 - 27189*j**2 = 0.\nAnswer: 0, 9063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 2*j - 93 = 0, -3*j + 39 = -2*n - 2*j. Let v = -13 + n. Let m be 2\/(-7) - v\/14. Solve 0 = -5*g - 2*y + 19, m = 5*g + y - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 at most as big as 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -902.7 at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 23 - 41 + q**2 - q + 12. Let h(a) = a**2 - 7. What is 4*h(k) - 5*n(k)?\nAnswer: -k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 747519?\nAnswer: 3, 67, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1048 = -5*q - 47. Let f = q - -467\/2. Is f <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -1392 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 674932.\nAnswer: 2, 31, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -5*i + 54. Let d be (-44)\/(-6)*3\/2. Let b be f(d). What is the nearest to b in 0.2, -1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oosqqsos. Give prob of sequence qsoq.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 81241527*y**4 - 47280525*y**2 wrt y.\nAnswer: 1949796648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 divided by 382.\nAnswer: 4\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(21)\/(3*sqrt(3)) + ((sqrt(441)\/sqrt(7))\/sqrt(9) - sqrt(7))**2.\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -223*j**3 - 226*j wrt j.\nAnswer: -1338*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 AM and 9:08 PM?\nAnswer: 608","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 - 10*z**2 - 9*z + 1. Let y(l) = -l - 18. Let b be y(-9). Let g be a(b). Let k = 2\/5 + 11\/10. Is k bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -9, 2*o = 4*p - 2*p + 20. Which is bigger: -6 or p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 PM and 5:08 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*t**4 + 0*t - 8 - t**3 + 3 + 6*t + 0 + 11*t to g + z*t + b*t**2 + y*t**4 + q*t**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from kchgkkkkl.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 46 + -78. Let q = 35 + r. Suppose -2*o + 36 = q*l + o, 3*o - 44 = -4*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 5*x + 181, 3*a - 146 = 3*x - 5*x. Suppose -3 = -5*c + a. Calculate the remainder when 31 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 + 4*d**2 - d - 1. Let j be l(3). Suppose -j*w - r = -51, 4*r - 9 = -w + 5. Suppose -18 = -x - w. What is the least common multiple of x and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.0236 (b) 2.8 (c) 8 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*t**3 - 99*t**2 + 3*t**4 - 78*t**3 - 81*t + 27*t**3 = 0. Calculate t.\nAnswer: -3, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1544 + 3?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 220047 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.06300245 + 0.063. Round m to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8292287 is divided by 287.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -271*m = -278*m + 3773. Let l = m - 515. What is the remainder when l is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, 29, 4.\nAnswer: 1, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 740625 and -0.03.\nAnswer: 740624.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000316 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -50*b**3 + 2*b**2 - 3*b + 288 with respect to b.\nAnswer: -150*b**2 + 4*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + 12\/4 + 1. Suppose p + s*q + 10 = -p, 0 = 4*p - 5*q - 25. Solve g - 2*g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -7*k**2 - 3. Let i(x) = 8*x**2 + 4. Let u be ((-15)\/(-12))\/((-1)\/4). Let s(y) = u*i(y) - 6*b(y). Let s(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 + -13841258.721135?\nAnswer: -13841258.421135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 193*b - 1 - 153*b + 3*b**2 + 1 in the form c*b + i + d*b**2 and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -24*n - 1. Suppose 2*s + 1 = s. Let q be m(s). Let j = 41 - q. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n + 2040 = 3*k + 12*n, 20 = 5*n. Calculate the least common multiple of k and 18.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + (-8)\/52*22\/(-4). Sort -2\/7, 2\/5, a in descending order.\nAnswer: 2\/5, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2435200 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 11:17 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.55 + 1.95. Suppose -3*r - 5*o - 15 = -3, -2*o = 3*r + 12. Which is the nearest to 2\/5? (a) r (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 3*k + 1398. Let t(i) = -2*i - 695. Give 5*t(f) + 3*z(f).\nAnswer: -f + 719","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -12755*j + 207*j**4 + 12755*j + 2*j**4 + j**4 - j**4 + (j**3 + 0*j**3 + j**3)*(2*j + 0 + 0) - j**2 + j**2 - 2*j**4.\nAnswer: 211*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 383 + -379. Factor s**5 - 8*s + 6*s**3 + 10*s**p + 4*s**2 - 4*s**4 - 5*s**4 - 6*s**4 + 0*s**5.\nAnswer: s*(s - 2)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 6, -4 in decreasing order.\nAnswer: 6, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 218 divided by 29197\nAnswer: 218\/29197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (61*g**2 - 28 + 28)*(-g + 2*g + g) as k + o*g + t*g**3 + u*g**2 and give t.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 PM and 6:48 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -59 by 10.\nAnswer: -59\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s*s**(-4))))**0)**(2\/131) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 26 = -41. Let x be (4 + -1)*((-17)\/c + -4). Solve u = 6*u + z - 19, -3*u + x = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 52 and 641970.\nAnswer: 16691220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w + w - 4234*w**2 + 4243*w**2. Let s(g) be the third derivative of -g**5\/20 - 42*g**2. Give x(s(j)).\nAnswer: 81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1*(sqrt(300) + -1 + sqrt(300) + 1))**2 + 5*(sqrt(300) + -4) + (sqrt(300) + sqrt(300)*5)**2*-6.\nAnswer: -63604 + 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-98)\/(-8) - 17\/68 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 553 - 1074 + 521 + 15*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 676573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-2\/23)\/b)\/b)\/(b\/(b\/b**4)))**(-12)\/(b**(2\/7)*b*b**(-5)\/b)**(-17) assuming b is positive.\nAnswer: b**(-1143\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be -7*(5 - 1)\/(-4). Suppose 6*w = h + 29. What is the greatest common factor of w and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j = -2*j. Which is smaller: j or 15\/28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8052778 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 176581.\nAnswer: 29, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 125*n**3 - 60*n**3 + 139*n**3 + (-4*n + 9*n + 9*n)*(n**2 + n + 2*n**2 - 2*n**2).\nAnswer: 218*n**3 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*p + 287 = -1378. Suppose 271 = 5*s - 384. Let l = s + p. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j = -0*j - 126. Let h = j - -145. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3382672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 15) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1 and 173.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(-3) - 4448\/(-24). Suppose -2*p + 101 + t = 0. Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000404421 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*n**3 + 143*n**3 + n - n.\nAnswer: 88*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -16*f**5 - 2434*f**4 + 18138*f**3 + 103554*f**2 + 82998*f = 0.\nAnswer: -159, -3, -1, 0, 87\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 2265*z + 86. Calculate f(0).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -5. Let m be k + 2 + 4\/2. Suppose -16 = m*n - 1. Sort 2, -4, n.\nAnswer: n, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + ((-32)\/14 - 2\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 6*v**2 - 7*v - 2. Let f(g) be the second derivative of 5\/12*g**4 + 0 - g**2 - g**3 + g. Calculate -7*f(o) + 6*y(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*i = 77*i + 128*i + 3496 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.08239512 * -0.2.\nAnswer: 1.016479024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*84.1.\nAnswer: 25.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -2. Suppose -x + 11 = l. Suppose -4*t - 16 = -x*t. Calculate the lowest common multiple of 10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 3*t - 10 - 49 = 0, -4*t = b - 72 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 57 - -51. Let l = 36 - 24. Calculate the highest common divisor of s and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i + 18. Let g be c(-15). Solve 7 = g*d - 2*k + 6*k, 5*k - 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 331080?\nAnswer: 2, 3, 5, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 - 3*m + 6. Let l(y) = y**2 - 3*y + 5. Let u(z) = -4*l(z) + 3*s(z). Suppose 4*k + 4 = -12. Is 7 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of p**2 + 17*p + 189. Suppose -2 = -2*k - 3*u, -2*k - 5*u = 2*k. What is the remainder when i(k) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**3 + 62*i**2 - 64*i + 188. Let h be l(61). What is the biggest value in 403, -0.5, 2\/9, h?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/9*-2 - 212\/18. Let z(q) = -q. Let b(j) = 8*j - 26. Let o(r) = g*z(r) - b(r). What is the first derivative of o(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29064313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nko when three letters picked without replacement from kmkwkrmrknook?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 211002110200200 - 100?\nAnswer: 211002110200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10\/27 + 104\/135. Let g = -80.58 - -85. Let h = 0.58 + g. What is the nearest to 1 in y, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 3, -944, 0.11, -1, -4\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (4 - (-327)\/(-81))*44\/3 and -20\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 596 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 + -9 + (-30 - -46).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 705 divide 444855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 5*x - 3*x**3 - 2*x**2 + 2*x**3 + 0*x**2 + 0*x**3 + 3. Let r be 2 + 12\/(-4) + -3. What is the units digit of m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 27 + -22. What is the lowest common multiple of x and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2\/9, -2, 31\/2, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d**5 + 3*d**5 - 5*d**5 + 0*d**4 + 0*d**4 - d**5 + (20*d**4 + 6*d**4 + 0*d**4)*(d + 3*d - d).\nAnswer: 75*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s - 34 = 4*n, -5*s - 11 = 2643*n - 2644*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -3*r + 0*r + r**2 + 0*r**2. Let l be p(4). Suppose 0 = -l*b + 3*t + 14, 3*t = -0*b - b - 4. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 0, 0.5, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*u**3 - 4*u**3 + u**2 - 16*u**3 + 24*u to the form q + x*u**3 + o*u + g*u**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 72 = -5*a. Suppose 7*j - 2*q = 6*j - 8, -2*j - 6*q + 34 = 0. Suppose -j = -v + 3, -4*v = 2*h - a. Solve 2*y + h*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**2 - 9*a - 1650. What is j(-31)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 3 z when four letters picked without replacement from {n: 1, z: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -39423, -39424, -39425, -39426, -39427, -39428?\n\"Answer: -x - 39422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/17920240 and -147\/2860.\nAnswer: 197122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 288766 is divided by 16986.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-8)*-2 + 40\/16. Suppose 0 = b*f + 41 - 93. Suppose -2*t = -4*u + 14, -18 + 45 = 3*u + 4*t. Calculate the remainder when f is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -1, -3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 4*f**2 - f**2 + 9*f + 5*f**2 - 5*f**2 + 3. Let c be s(-6). Let j = c + -33. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/54 + (1 - 417\/297).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -61 by 454451.\nAnswer: -61\/454451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -4*x + 2*a, x - a + 18 = 3*a. What are the prime factors of (-9)\/x*8\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -6*t**2 - 4*t - 2*t**3 + 9*t**2 + t**3 + 3*t + 6. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - 48\/(-18) - 1\/(-3)*-5. Let c(o) be the first derivative of -8\/3*o**t + 6*o**2 - 4*o**4 + 2\/3*o**6 + 8*o - 8 + 0*o**5. Factor c(y).\nAnswer: 4*(y - 2)*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -192 divided by 24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4105, -32974, -111329, -263914, -515473, -890750, -1414489?\nAnswer: -2111434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) 1.1 (c) 3 (d) -22358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5891 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -5540468 and -5540468 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 154724070 + -13?\nAnswer: 154724055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 - 7*r**2 + 7*r + 4. Let n(i) = i**2 - 7*i - 2. Let y = 6 - -2. What is the least common multiple of n(y) and g(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 8304, 8287, 8272, 8259?\n\"Answer: k**2 - 20*k + 8323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the third derivative of i**6\/780 - i**5\/130 + i**4\/52 - i**3\/39 + 57*i**2. Factor r(m).\nAnswer: 2*(m - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - o + 9 = -4*o, 3*o = 5*a - 9. Let l = a + 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -42255 divided by 313\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-8 - 1 - (-13 - 8)) + 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 + 10*j - 29. Let r be 3*(-45)\/54*-2. Calculate i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 7446556 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 0 + 27*x - 24*x - 3. Let k be u(2). Solve 3*q**2 + 3\/2*q**4 - 9\/2*q**k + 0*q + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 - 19*i + 38. Let o be h(18). Suppose -o*t + 25*t = 30. Solve -2*w + t*w = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*d**3 - 168*d**2 - 6*d**3 + 168*d**2.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 57741830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 80347 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8224757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 14281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d + 0*d + 2*d)*(-325*d**2 + 651*d**2 - 4*d - 321*d**2).\nAnswer: -10*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6 times -6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 985 a factor of 19828050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from rrrrqdqd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(-3 + 50\/15) - -51 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 6, t: 2, q: 5}. What is prob of picking 2 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a\/(a\/((a**(-4)*a)\/a)*a))**(8\/9)*(a*a\/a**(1\/3)*a)**0 assuming a is positive.\nAnswer: a**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9135\/(-42) + (-1)\/2. Let n = 155 - 707. Let c = b - n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 414986185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of r**7\/1260 + r**5\/30 - r**4\/3 - 3*r. Let b(m) be the third derivative of u(m). Find the first derivative of b(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.4, 1, 4\/3, -9132, 14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of -d**7\/42 + d**4\/8 - 2*d**2 - 7. Let f(i) be the second derivative of b(i). Find the second derivative of f(z) wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*x + 407 = 974. What is the highest common factor of x and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 58 - 492 = 0. Let g be a\/56 + 4\/16. Which is bigger: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, z: 3, f: 7}. What is prob of picking 1 z, 2 f, and 1 g?\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 221829632, 221829631, 221829630, 221829629, 221829628?\nAnswer: 221829627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - 51 = -3*z. Suppose 3*t = -a - 13, z = -3*a - 3*t - 16. Find the common denominator of (a\/(-120))\/((-2)\/(-164)) and -9\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/4*48\/(-15)*(-498820)\/48864?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 138 = 10. Suppose g = v + 41. Let u = v - -99. Does 31 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -6*b + 6*b**2 - 1\/2*b**3 + 0. What is the tens digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33745240, 67490498, 101235760, 134981026, 168726296, 202471570, 236216848?\nAnswer: 269962130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33 - 35 - (-190 + 0 - 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 919659391 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 403 divide 707668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from guhkuhgokuuuughugguq. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 7 - (1 - (-216)\/(-8)) - (1 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -10000 (base 3) in base 11?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 0.096761.\nAnswer: -0.0483805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -14*l + 3. Let s = -4 - -6. Suppose s*h = 5*r - 1, 5*h = -0*h + 5*r - 25. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2765026416 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 107 + -80. What are the prime factors of q\/18*(-520)\/(-6)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p. Let i(t) = -373*t**2. Give k(i(g)).\nAnswer: 746*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 24 = 5*w + h, 4*w + 16 = 4*h. Let d = 1 - w. Find the third derivative of t**6 - 2*t**d + 6*t**2 - t**2 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -328 less than or equal to -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**3 + d - 1. Let l = -183 - -181. Let k(p) = p**2 + 2*p - 2. Determine l*b(x) + k(x).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 32, 41, 56, 77?\n\"Answer: 3*f**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence od when two letters picked without replacement from ooooooooddoooooooooo?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be -137 - ((-2 - -8) + (5 - 6) + -7). Is -950\/7 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1111.21km to meters.\nAnswer: 1111210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1200 + 1201.7388. What is t rounded to 2 dps?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5319*p - 5308*p = -33. Do p and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l - 2. Let r be u(4). Solve -q = -r*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -35*q + 26*q + 12*q. Let g(b) = b. Let p be (3 - 2)*4\/(-1). Let u(f) = p*g(f) + 2*s(f). Let z(k) = 3*k**2. Calculate z(u(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.007 and 0.0269.\nAnswer: -0.0001883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 572 is divided by 103.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 - 7*a**2 - 9*a. Suppose 0 = -9*c + 230 - 77. What is the remainder when h(9) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xot when three letters picked without replacement from ottxtkoooxxoto?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3340010331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 8, i: 1, w: 2, y: 5}. What is prob of sequence iwyu?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1208 is divided by 296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(40)\/sqrt(288) + 3 + sqrt(25)\/sqrt(5) + -1 + 4.\nAnswer: 7*sqrt(5)\/6 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 196 and 5348?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (-4 - (-20 - (-18 + 12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14650469 is divided by 3423?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v = 82 + 3753. Find the common denominator of v*(-30)\/1600*(-2)\/(-6) and -29\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -25*o + 24*o + 8, -5*o + p = -26. Which is the smallest value? (a) o (b) 6\/31 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - -25 - 8 - 8) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w**(-4\/3)*w)\/w)*w*((w**(-1)*w)\/w)\/w)\/(w**(-1\/8))**(-1\/2) assuming w is positive.\nAnswer: w**(61\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 + 42 + 185 = -100*v. Put -111, -37, v in ascending order.\nAnswer: -111, -37, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 174 - 178. Let t = -0.34 + -0.06. Let u = 0.4 + t. Which is the second smallest value? (a) m (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 1486.\nAnswer: 11888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2557248 + 4.66561?\nAnswer: -2557243.33439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -4166*g + 2085*g + 2086*g as k + o*g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 392533 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 2 = 0, -2*c - 1 = -z - 0. Suppose z*h + 0 - 6 = 0. Suppose 0 = w + h*o - 3, -3*w = -w - 5*o + 21. Let j(m) = -m**3 - 3*m**2 - 3*m. What is j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 157331, 158422, 159513, 160604?\nAnswer: 161695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 9 - 2)*(-185*g + 15*g + 90*g).\nAnswer: -480*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -115.9837 - 0.0163. Let r = 114 + u. Which is the closest to -1? (a) 2\/5 (b) r (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3\/5 + 72*f**2\/5 - 141*f - 1674\/5.\nAnswer: 3*(f - 9)*(f + 2)*(f + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 1:56 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 42236.83ml to litres.\nAnswer: 42.23683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of 3*f**7\/14 + 29*f**6\/20 - 19*f**5\/20 - 23*f**4\/4 - 4*f**3 + 10*f**2 - 89*f. Solve v(c) = 0.\nAnswer: -4, -2\/3, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of x**6\/30 - x**4\/3 - 2*x**2 - 6. Let y(z) be the second derivative of j(z). Find the second derivative of y(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of d**7\/42 + 4*d**6\/15 + 4*d**5\/5 + 92*d. Solve j(g) = 0 for g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10034.8mg to micrograms.\nAnswer: 10034800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m*m**(-13)))\/m)\/(m*(m*m**(-16)\/m)\/m*m)*(m\/m**(-2\/15))**(12\/19))**26 assuming m is positive.\nAnswer: m**(68458\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*o**3 + 158*o - 158*o - 1.\nAnswer: 4*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -76685792 divided by -4\nAnswer: 19171448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 5*t**2 + t - 4. Let q(z) = 10*z**2 + 2*z - 9. Suppose 4*v - 3*d + 23 = 0, -5*v - 16*d = -20*d + 30. Determine v*q(r) + 5*k(r).\nAnswer: 5*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h**3 - 2*h**2 + 1. Suppose -3*p = p - 16. Suppose 11 = 4*f - 7*f + p*s, 4*s - 12 = 4*f. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o\/o**(-3)*o*o*o*o**(-2)\/o)\/(o**(-2))**(27\/4))**25 assuming o is positive.\nAnswer: o**(925\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/2 - (-6 - -1). Let u be 5\/2 - n\/(-6). Find the third derivative of 2*h**2 - 2*h**2 + 3*h**2 + h**u + 2*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 41953248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2304 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-20)\/(j\/j**(-1\/18)))\/((j**(-24)\/j*j)\/(j**(1\/31)\/j)) assuming j is positive.\nAnswer: j**(1103\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -4*r - 5*b + 75, -4*r + 40 = -b. Let j be (-2)\/r - 1716\/(-121). Let f(o) = o + 18. Does 32 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 3*t - 15 = 3*y, 12 = -3*y - 2*t. Let c(l) be the third derivative of -l**4\/24 - 4*l**3\/3 - 4*l**2. Let o be c(-7). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 117156841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 12404*w - 189279 = 468133 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y**(2\/7)*y*y))\/y**(-6))\/((y*y\/y**(-5\/2))\/(y\/(y*y\/(y**(-3\/4)*y)))))**(-29) assuming y is positive.\nAnswer: y**(435\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -253*m + 2. Let w be n(-5). Let o = 59547\/47 - w. Suppose -2*b = b - 3. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from xnznznznxxoxol.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2224 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/5)\/(2160\/5400)*(-2)\/(-116).\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 4*c + 2. Let i(x) = 3*x - 71. Let a be i(24). What is n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {e: 6, q: 1, l: 1, m: 1, r: 5, t: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 55 in -1, 0, 2, -0.825?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 44.289 + 43.632. Let b = p - 88. Round b to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35123 (base 11) in base 16?\nAnswer: -c624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 307 + -223. Let h = q - 83.8. Sort 2\/11, 3, h in increasing order.\nAnswer: 2\/11, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**2 - 16*l - 56. Determine i(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 162, 524, 1136, 2004, 3134, 4532, 6204?\nAnswer: 8156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 16 = -0*w. Calculate the smallest common multiple of ((-2)\/4)\/(w\/16) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -10c7 - 710?\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:28 AM and 4:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of -l**3\/3 + 3*l**2\/2 + 11300000*l - 7. Let n be d(0). What is n rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1105 is divided by 795.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 96\/44 - 4\/22. Let t be (-3 + i)*-1 - -5. Let b(j) = 2*j**3 + 71*j**2 + 48*j + 453. Let f be b(-35). Is t != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*f + 14*f = -24*f - 384 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (105\/35)\/((-6)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4356)*-2 + sqrt(4356))*-4 + sqrt(4356) - sqrt(4356))\/(sqrt(1452)*-2*1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 76\/(-6)*19\/(-13908). Let j be ((-14)\/(-180))\/((-244)\/12446). Let u = j + x. Find the common denominator of -71\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/36)\/(a\/((a\/a**(-1\/39))\/a)))\/((a*a**(-23))\/a*(a\/a**30)\/a))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1610 - -14a5?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 2:10 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 74, 70, 68, 68?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 580382 and 93.\nAnswer: 1741146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1 times 101131\nAnswer: -101131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of 2*o**4 - 4*o. Let h(s) = -2*s. Calculate y(h(v)).\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -895, -1823, -2753, -3685, -4619, -5555?\nAnswer: -6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/8)\/(75\/60). What is the smallest value in 0, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2*sqrt(13) + sqrt(13) + sqrt(13)*1 + 2.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -2102213 (base 4) to base 15\nAnswer: -2ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -66, -60, -42, -6, 54, 144, 270, 438?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 21 = o + 4, -p = 3*o - 19. Suppose p*k + 53 = 5*d, -3*d + k + 47 - 18 = 0. Solve -5*n + 2*q = -5, -4*q = -n - 2*q + d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 420131, 840260, 1260389?\nAnswer: 1680518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 320000 - (0 + 0\/(-2)). What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 151 + 121. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 5*g + 3*u - 10, 3*u = 15. Let r = -6 + g. Sort -1, r, 0 in increasing order.\nAnswer: r, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1018 (base 12) to base 15.\nAnswer: 7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ofu when three letters picked without replacement from {o: 3, q: 6, u: 1, w: 3, l: 1, f: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 116, 133, 3\/4 in decreasing order.\nAnswer: 133, 116, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10346955.\nAnswer: 3, 5, 689797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -32 + 14 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l. Let q(v) = -703695*v. What is q(h(j))?\nAnswer: 703695*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -4255, -8640, -13151, -17788, -22551, -27440?\n\"Answer: -63*i**2 - 4196*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*n - 15, -2*v + v - 1536 = -3*n - 1542 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**3 - 6*c**2 - 2*c - 3. Let x(n) = 2*n**3 - 7*n**2 + 10*n - 6. Let y be x(3). Suppose 4*p - y - 9 = 0. Calculate g(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-3)\/(-2)*(-48)\/(-120)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2494\/116)\/43*9\/((-162)\/96)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2\/4061 - 320855\/73098. Let p = 12453\/1210 - -1\/121. Calculate the common denominator of p and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 324841 is divided by 46405.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 266789064 to the power of 1\/2, to the nearest integer?\nAnswer: 16334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18816?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -93 + 123 + -46 + 5 + -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -51 (base 16) to base 3\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -3*s**3 + 21*s**2 - 10*s - 135. Give c(7).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 4*u = -i + 1889, 2*i = 5*u + 742. Suppose 0 = 4*c - q - 2073, -c + 3*q + 129 = -i. List the prime factors of c.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 7381 and 7382 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -2*d**3 - 42*d**2 - d + 8. Let x be y(-21). Let g = x + -29. Solve 4*p - 20 = -g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.14 - 0.28. Let u = -4.0932 - -0.0332. Let h = u + b. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -1 - (28 - 31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1240 - -132104?\nAnswer: 133344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30325*f - 1 - 2 + 3.\nAnswer: 30325*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 2*q + 1 + 4*q)*(-6 - 2 + 4)*(-2 + 4*q + 2) in the form y*q + p + x*q**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 - -44.1. Let l = 0.02228315 + -2.12223015. Let i = l + b. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7154 - 42923\/6. Let i = 3337489\/78 + -42789. What is the common denominator of i and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 1. Let x(i) = 9*i**2 + 2*i + 4. Let d(b) = 3*f(b) - x(b). Determine d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 312 and 907888?\nAnswer: 35407632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of 2*l + 39 + l**3 - 2*l**2 + 1\/4*l**4. Let s(j) = 3*j**3 + 8*j**2 - 11*j + 5. What is -4*s(w) + 11*t(w)?\nAnswer: -w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*d**2 - 2*d**2 - 2*d**2)*(26 - 3 + 13)*(6 - 4 - 5)*(-3*d + 2*d + 3*d)*(0*d**2 + 0*d**2 - 3*d**2).\nAnswer: 1296*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 + 30*d**2 + 81*d + 5. Determine l(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, t: 3}. Give prob of sequence et.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -13*a**2 + 31*a**2 - 2 + 0*a - 7*a**2 + 3*a**2 - 2*a. Let q(g) = 41*g**2 - 7*g - 7. What is -7*f(c) + 2*q(c)?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 + 13. Suppose 3*q - 13 = -l*g, -11 - 4 = -3*g - 3*q. Solve -w + g*w + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 AM and 3:36 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 850 and 54400?\nAnswer: 54400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 326*k = 330*k - 14, i = -4*k + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 251579128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 639, 1275, 1911, 2547?\n\"Answer: 636*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert caf (base 16) to base 5.\nAnswer: 100442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1496961 divided by -47?\nAnswer: -1496961\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2860)\/(-35) + 6\/21. What is the third derivative of 2*s**2 + 3*s**3 - 6*s**3 + 5*s**3 + 22*s**4 + 4 - b wrt s?\nAnswer: 528*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 1 = -3*s - 5, -3*n - 4 = 5*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -317*t = -38*t - 3423330. What are the prime factors of t?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 3*n + 232 = h + h, 708 = 2*h + 8*n + 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000010603 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*j**4 - 2*j**2 + 168*j**3 + 63 - 168*j**3 wrt j.\nAnswer: -12*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -76 - -88. Calculate the least common multiple of 33 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o - 2*o - o)*(4 + 2*o - 4)*(-5 + 1 + 0)*(-2 - 3 + 3)*(18 - 6 + 3).\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 + y**2 - y**2)*(-38*y**3 + 119*y - 119*y) + 0*y**5 + y**5 + y**5.\nAnswer: 78*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 20 - 0. Let m = r + 10. Suppose 0 = 7*a - 197 - 13. What is the highest common factor of m and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -2064?\nAnswer: 1\/2064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11784*x**3 - x**2 + 11785*x**3 + 119*x**4 + 0*x**2 + 236*x**4 + 213*x**4 to the form u*x**4 + i + l*x**3 + n*x + h*x**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 12, -10731, -5 in descending order.\nAnswer: 12, 4, -2, -5, -10731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 42765 divided by 27?\nAnswer: 14255\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19912 is divided by 9932?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 3\/7, -1, 0.10256?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, v: 1, s: 7}. Give prob of picking 4 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -11148*w + 77960. Determine i(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 118409, 118187, 117965, 117743?\n\"Answer: -222*j + 118631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from jfcjcfqcfcjcfkcq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-4\/11)\/((v\/v**0)\/v))\/(v**3\/v*v*v*v**(4\/9)))\/((v**(2\/11)*v*(v*v**(2\/7)\/v)\/v)\/((v**(6\/5)\/v)\/v**(-9))) assuming v is positive.\nAnswer: v**(13598\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -36304, -72792, -109288, -145792, -182304, -218824, -255352?\n\"Answer: -4*y**2 - 36476*y + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**3 - 19058*u**2 - 45845470*u - 2112845614.\nAnswer: -2*(u + 47)*(u + 4741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 46090\/(-419)*(-15)\/(-66).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 0. Suppose -9 = 3*x - 5*k, -2*x + 3*k + y = 2*k. Suppose 0 = 3*c + 3*z + 9, x*z = c - 2*z - 17. Which is bigger: 1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-1\/21)\/m**(-3\/7)*(m**25\/m)\/(m\/m**(-1\/7)) assuming m is positive.\nAnswer: m**(488\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -660.337 - -599.46. Let q = v + -0.123. Let r = q + 61. Is r at least as big as 21\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -350*c**2. Let u be g(-1). Let a = -870 - u. Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -2*c**3 - 9*c**2 - 6*c. Suppose -18 = 4*o + m, 4*o + 7 = 4*m - 1. Let w be h(o). Solve 2*v = -0 - w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -4\/97, -86, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-4)*j)\/(j**(-4)*j) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 222.1 + -234. Let u = j + 12. Which is the third biggest value? (a) -3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -90986 divided by 6\nAnswer: -45493\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 29*o**2 - 3*o - 97. What is b(30)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 - 5*k**2 + 12*k - 3. Let m be q(3). What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -67 divided by -133601.\nAnswer: 67\/133601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) 2 (b) -2\/13 (c) 0 (d) -1744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of x**6\/120 - x**5\/6 + 7*x**3\/3 - 3*x**2. What are the prime factors of p(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t + 8. Let y be s(-6). Let r be (32\/(-40))\/(2\/(-5)). Factor -23*v + 0*v**2 + 19*v - r*v**y.\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11022122002 + 100?\nAnswer: -11022121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - 1 + 3 + 3*o)*(-82*o - 102*o + 63*o)*(0*o**3 + 0*o**3 + 2*o**3).\nAnswer: -242*o**5 - 484*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3124254 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 - -8.5. Let v = r - -0.4999925. Round v to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 17*m - 285. Let f(n) = -10*n**2 - n**3 + 16*n**2 + 9*n**2 + 3 + 0. Let v be f(m). Solve 0*x = -2*x + v*h - 15, -15 = x - 4*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/2 - (-195 - 1\/1). Let z = h - 104. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 + (176\/6 - -2). Let i = 41\/3 - v. What is the common denominator of (-43)\/(-32)*(-4)\/(-1) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:09 AM and 3:55 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**3 + 6*r**3 + 4*r**3 + 12*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(4\/(-10) - 0). Suppose -3*g = -4*m - 626, 814 = 5*g + m - 214. Let c = g + -204. Solve 5*a = s, -5 = -3*r + c*a - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -53*w + 52*w. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a**(-4\/7)\/a)\/(a*a**(-7)))**(-5\/19))**(-32) assuming a is positive.\nAnswer: a**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(110) + (2*sqrt(110) - sqrt(110)) - sqrt(110))*-4)\/(1*sqrt(1210)*-3).\nAnswer: 16*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/15)\/((-3156)\/2104)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -3\/5, -4, -0.0547, 2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/14 + (-288)\/(-126). Let x(t) = 2*t**j + t**3 + 79*t + 10 - 80*t + 4*t**2. Let v be x(-6). Solve -4*f + 17 = u + f, -5*u = 2*f - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)*4*6 - 4*sqrt(65)*-2)\/(3*3*sqrt(40)\/(sqrt(8)*-6)).\nAnswer: -64*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46*d**2 - 4 + 22*d + 81*d**2 + 90*d**2 - d**3 + 2 + 81*d**2 wrt d?\nAnswer: -6*d + 596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + sqrt(2880)*1 + 4)**2.\nAnswer: 208*sqrt(5) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1403 + -1401. Let y be (-112)\/(-5) - 4\/10. Which is the smallest value? (a) y (b) -1 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + 2. Suppose r = 2*p + 4, j*p = 2*r - 8 - 3. Let l(h) = 2*h + 1 - 6*h + 3*h + h**2. Determine l(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*c**4*m - 9*c**3*m**3 - 2*c*m + 70*c - 2*m**3 wrt c?\nAnswer: -48*c**2*m - 54*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b = 5*w + 40, 0 = -2*b - 3*w - 10 - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 AM and 12:41 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*o = -15*o + 1805. Suppose 4*n = 3907 + o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11553 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 k when three letters picked without replacement from jjsjjsjjjjkjsskj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28785454 - 28785454 - 263*t**2.\nAnswer: -263*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 4.6. Let q(z) = -5*z**2 + 98*z - 56. Let h be q(19). Sort i, -4\/5, -4, h in descending order.\nAnswer: h, i, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3474 + -1613. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26332026, -52664047, -78996066, -105328083?\nAnswer: -131660098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -6 + (16\/(-4))\/((-16)\/10)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18)\/24 + 76\/16. Suppose 3*t - w*j = -18, -9*j + 8*j - 3 = 0. Is t < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, i: 1, q: 1, n: 1, a: 1, v: 2}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 75469, 150853, 226237, 301621?\nAnswer: 377005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 30.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -10 + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 116455835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-9 + 0 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3532815 months in years?\nAnswer: 0.029440125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2712\/11 - -22235\/88. Find the common denominator of s and 25\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2572*g**2 - 2572*g**2 - 40*g**4)*(-1 + 5 - 3).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in 0.09, -4, 1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -990*u + 7. Let f(i) = -1483*i + 10. Determine -5*f(g) + 7*m(g).\nAnswer: 485*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 152627224 by 4.\nAnswer: 38156806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 10*d + 2. Let o(j) = 120*j + 25. Let l(u) = 25*a(u) - 2*o(u). Let r(k) = -3*k**2. What is l(r(m))?\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -41839 + 86409. Round c to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - -1 - ((-57 - -32) + 51).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (9\/21)\/(-4 + 20\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -23*h - 4. Let q be t(-13). Let f = q + 172. Suppose -5*v - 5*y + f + 148 = 0, -373 = -3*v + y. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 9, u: 3}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 0.1, 0.2, -0.3, -2\/15 in increasing order.\nAnswer: -0.3, -2\/15, 0.1, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -903923\/5348200 - 5\/12584. Let p = 25\/2099653 + -1147523369\/104982650. Let g = f + p. What is the common denominator of -31\/13 and g?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of -k**5\/4 + k**4\/12 + k**3\/6 - k**2 + 3*k. Let g be j(-2). What are the prime factors of (18\/(-15))\/((-6)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 838334284.\nAnswer: 2, 53, 67, 59021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (p + 0*p + p)*(-3*p**4 + 5 - 5) - 2*p**2 + 4*p**2 - 4*p**2 + 2*p**5.\nAnswer: -4*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/6*3 - -1. Let j be (f\/2)\/(5\/10). Suppose -5*c = 4*g + 37, 14 = -5*c + 11*g + 22. Sort j, c, 2 in decreasing order.\nAnswer: 2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 123 (c) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 + 7*h - 4. Suppose 0 = 546*y - 952*y + 2842. Let k(r) = -3*r + 2. Calculate y*k(f) + 3*g(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1286591 is divided by 428762?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.5 + 2.9. Let j = -0.1 - v. Which is the nearest to -1? (a) -1 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 + 12*f - 44. Determine s(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -19\/5, 1\/3, -1\/4, 3 in ascending order.\nAnswer: -19\/5, -1\/4, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-30 - 26*o**2 + 30)*(-4*o**2 + 0*o**2 + 3*o**2)*(-3 - 2 + 1) as x*o**2 + f*o + u + n*o**3 + i*o**4 and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = 7*d. Suppose -c = -d*c. Suppose c = 4*q - 80 - 40. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of k**2\/2 + k + 446. Let r(u) = -12*u - 3. Determine -5*i(w) - r(w).\nAnswer: 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - ((-3 - -7) + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21111 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517 is divided by (-3)\/81*-3*(43 + 614)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of k**5\/20 + 17*k**2\/2 - 16*k + 2. Let c(a) be the first derivative of j(a). Differentiate c(q) with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-382)\/(-7) + (240\/(-35))\/12. Let a = 296 + -241. Is c equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 7 = -0*j - 5*y, 0 = -j + 4*y + 1. Let m = j - -13. Suppose m*t - 6*t - 3080 = 0. Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a**2 + 156066207*a - 34201183?\nAnswer: 4*a + 156066207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3728 is divided by 247.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -3*i**2 + 7*i. Let c(t) = 2*t**2 - 6*t. Suppose o = -0*o + 3. Let u(v) = o*q(v) + 4*c(v). Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 172 divide 118266743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1773172 and -1.7?\nAnswer: 1773173.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -14*j**2 + 8*j. Let c(u) = -u. Calculate c(i(o)).\nAnswer: 14*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 3*m + 2*m**2 - m**2 + 4*m**2 - 4*m**2. Let q be h(-4). Suppose s - q*u - 405 = 0, -2*s = 5*u - 305 - 531. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 3)*(-1 + 0 - 1)*(-4*x + 0*x + 28*x).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 685761*g**2. Let p(u) = -91*u - 1. What is p(z(l))?\nAnswer: -62404251*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*a + 30*a = 136. Suppose 4*m - a = -2*b, 2*b - 4 = 4*m - 10. Let o be 10\/3 - b\/21. Solve -o*x - 3 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 15028*v + 149391. Determine b(-10).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 411*g**3 - 10*g**2 - 193*g. Let h(n) = -617*n**3 + 16*n**2 + 289*n. Let k(q) = -8*b(q) - 5*h(q). What is the second derivative of k(x) wrt x?\nAnswer: -1218*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 28 = 4*b, -64 = b - 2*p - 67 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*d**3 - 47*d**3 - 61*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 93*z + 78*z - 138*z to g + o*z and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39116.\nAnswer: 2, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of 0*h**2 - 13\/3*h**3 - 1\/2340*h**6 - 3\/52*h**4 + 0*h - 8 + 1\/130*h**5. Let f(u) be the third derivative of b(u). Factor f(c).\nAnswer: -2*(c - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qeieeishisiisihis. What is prob of sequence ei?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*v - 16*v + t + 4541, 0 = -2*t - 2. What is the lowest common multiple of 2270 and v?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**3 + n - 1. Let j(a) = 7*a**3 + 5*a**2 - 7*a + 1. Let u(o) = 6*f(o) + j(o). Factor u(z).\nAnswer: (z - 1)*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -4*k - 2*z + 6*z, z = -5*k + 93. Suppose 0*c + 1 = b + c, 2*c + 28 = 3*b. Calculate the highest common divisor of b and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(104))\/sqrt(8) + 1 + 1 + sqrt(13).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**3\/2 - 31423*p**2 - 493796720*p - 2961649200.\nAnswer: -(p + 6)*(p + 31420)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 250\/12 - 1\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21261798 to the nearest integer?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-1*21*1\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 662555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111001001010000111101 (base 2) to base 5.\nAnswer: -2004020414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 291.807873ms to weeks.\nAnswer: 0.0000004824865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 14 + 5 + (-2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 477215 is divided by 12894.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46579062 is divided by 123225?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 315653361, 631306717, 946960073, 1262613429, 1578266785, 1893920141?\n\"Answer: 315653356*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 366.9825 hours to seconds.\nAnswer: 1321137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 24036525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55881.\nAnswer: 3, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2.1, 5, 3 in descending order.\nAnswer: 5, 3, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1116 and 4608?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*r**2 + 326*r**2 - 8*r**2.\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -335, 3\/2.\nAnswer: -335, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -30\/11? (a) -1 (b) 3 (c) -0.1456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {d: 4, k: 6, a: 1}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -2*f + 25. Let q be p(17). What is the units digit of (-938)\/q + 2\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7 + -3)\/(2\/(-8)*1). Calculate the greatest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.701 + 3.299. Which is the closest to 0.2? (a) -10 (b) -5 (c) 1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8958097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.03 (b) -4\/9 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 125746404 by -3.\nAnswer: -41915468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -m**4 - 29*m**3 + 12*m - 2.\nAnswer: -12*m**2 - 174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 6*o = -967. Suppose o + 553 = 8*w. Do w and 190 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1340.5245 months to centuries.\nAnswer: 1.11710375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -40927*k**3 + 1760?\nAnswer: -122781*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 3*g - 5*i, -3*g + 0*g + i + 76 = 0. Suppose -f - 3 = 2*p - 11, -p + g = 4*f. Suppose 0 = h - f*h, 2*h - 35 = -5*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/6)\/(-1) - (-22)\/4. Suppose -4*n + x*y - 24 = -4, 3*n = 3*y - 12. Suppose 2*l - 10 + 6 = n. Solve -l*j - 3*j - 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(513)\/(sqrt(45)\/sqrt(5)))\/(sqrt(108) + (2*sqrt(108)*-1 - sqrt(108) - sqrt(108) - sqrt(108))).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 139*d - 2390. What is q(16)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f**2 - 3*f**2 - f**2 + (4 + 2*f - 4)*(-2*f + f + 3*f)*(2 + 0 + 2) as m + p*f**2 + c*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10595 + 10619. Which is the smallest value? (a) x (b) 3 (c) 1\/72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 794 divide 30309226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 887270328, 1774540656, 2661810984, 3549081312, 4436351640?\n\"Answer: 887270328*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 92334323 from 3144.\nAnswer: -92331179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = c + 84, 3*r = -48*c - 53*c + 105*c - 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 AM and 5:24 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-1491\nAnswer: 149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -27*m + 29*m + 432. Let j = m + 42. Let u = 283 + j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14 - (-4 - (-3 - 2)). Let v = k - 12. Calculate the remainder when 23 is divided by (-72)\/2*v\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -16.4*1\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -91 (base 10) to base 2\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 4*n**3 + 61*n**2 + 167*n - 160. Determine c(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 2*c. Let y(i) be the second derivative of i**4\/4 - 10*i. Determine a(y(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*g - 308 + 854. What is the remainder when 466 is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29093057.\nAnswer: 7, 4156151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/((-9)\/(-2)) - -8322. Suppose 0 = -4*d - 0*d + p. Suppose -4*z + g + 3*g + d = 0, -3*z + 5*g = -1570. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 17, -1, 5, 14 in descending order.\nAnswer: 17, 14, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j = -14*j - 48 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.057 + -0.257. Let z(l) = 3*l**2 - 1. Let m be z(-1). Let q(i) = -3*i + 2. Let p be q(m). What is the smallest value in g, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3852 and -741?\nAnswer: -2854332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11200 is divided by 249?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 767, -3\/8, -4 in increasing order.\nAnswer: -4, -3\/8, 0.1, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84, 90, 756, 2160, 4548, 8166, 13260?\nAnswer: 20076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -2*t**5\/25 - 76*t**4\/5 + 614*t**3\/15 - 154*t**2\/5 - 1604. Factor c(i).\nAnswer: -2*i*(i - 1)**2*(i + 154)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*u - 10 = 2 - 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 48488900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2216748*j**5*l + 76*j**3*l**3 + 568289*j*l**2 - 112*l**3 wrt j?\nAnswer: 44334960*j**3*l + 456*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (28 + 13 - 60)*(6 - 12 - 8)*(-6*x + 3*x + 4*x).\nAnswer: 266*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 9) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -30*k**4 + k**2 - 37*k**4 - 29*k**4 - 17*k - 30*k**4 + 110*k**4 + 13 as j + w*k**2 + f*k**3 + x*k**4 + o*k and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2)\/3)\/((-5)\/15). Suppose 0 = -w*h + h + 5. Solve -h*c + c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 5.948945 years?\nAnswer: 0.05948945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 446\/19 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + v = 16643, 3*x + 36*v - 12462 = 42*v. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44e0 (base 16) in base 15?\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -86 - -179. Find the second derivative of -4*s - 12*s + 93*s**2 - f*s**2 + 19*s**4 wrt s.\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 435527768.\nAnswer: 2, 13, 1061, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 4*j = 5*j - 11, -2*j = -4*t + 10. Suppose 0 = r - 2*h + 656 + 760, -h = t. What is the least common multiple of r\/(-40) - 4\/(-10) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7 - 4.7. Let g = m - -4. Let j be (2 - 36\/30)\/(-4). Which is the nearest to g? (a) -3\/2 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, u: 2, k: 1, c: 1}. What is prob of sequence ppu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x**2 + 2*x - 7. Let d be r(-3). Suppose -2*q = -d*q + 15. Let v(t) = t**3 - 5*t**2 + 2*t - 7. Calculate the remainder when 9 is divided by v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -7. Let m(j) = 18*j**2 - 2*j + 1. What is the tens digit of m(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 2:24 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 4*h**3 + 328*h**2 + 8804*h + 76880 = 0.\nAnswer: -31, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be -5*((-2)\/(-4))\/(60\/(-48)). Factor 65*z**2 - 19*z**q - 10*z**2 + 162*z + 2*z**3.\nAnswer: 2*z*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wegangg. Give prob of picking 1 e, 1 g, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -2 + j**3 + 5 - j**2 - 4*j + 0*j**2. Let g be o(3). Let l be (-215)\/(-3) + (-7)\/(-21). Calculate the greatest common factor of l and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 136819 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be 46\/(-56) + 8\/14. What is the closest to 0 in 1, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -22*(-9)\/(-18)*18\/297*-15. Let k be (-3)\/(18\/(-15) + 1). Solve 5*z - k = f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 50, -138, 0.004 in decreasing order.\nAnswer: 50, 0.004, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wskwzz. What is prob of sequence zs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-6)*65\/(-520)*40*13\/(-182)?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.20244 rounded to 3 dps?\nAnswer: 1.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of 0 + 0*g - 2*g**2 - 1\/24*g**4 + 7\/3*g**3. What is the derivative of s(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 2*d - 494 = -11*v, 0 = -4*v + 3*d + 967. Suppose v = 4*g + 24. Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, 11, 5, -201, -15, -3 in descending order.\nAnswer: 11, 5, 2, -1, -3, -15, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.16627 - 669.83373. What is the closest to 0.1 in d, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111911527727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, z: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -4*z**2 + 8996*z + 3311448 = 0.\nAnswer: -322, 2571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-15))\/(41\/410)*1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 30202 (base 9) in base 14?\nAnswer: 7339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -3091.05 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 9. Let o be (-1)\/(21\/(-2088)) + -2. Let r = o - 97. Sort r, -1, n in decreasing order.\nAnswer: n, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266308 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 25*o - 523. Let u be f(21). Which is the nearest to 2\/5? (a) u (b) -1 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -908*x**4 + 53*x - 1?\nAnswer: -10896*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.5, 4, -0.5, -6745\/4, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -5*f + 28. Let n(r) be the third derivative of r**4\/24 - 7*r**3\/6 - 11*r**2. Let q(a) = 2*c(a) + 9*n(a). What is q(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*s**4 + 3030*s**3 + 66*s**2 + 85?\nAnswer: -216*s + 18180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pwpwpwww. What is prob of sequence pwwp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 9*h - 108. Determine v(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -1, -0.8, 5, -72 in descending order.\nAnswer: 5, 0.2, -0.8, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 613 - -981. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -0.3 (b) 136 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -826500 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -74 + 83. Suppose h*s - 2473 = 2162. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.00452, 15.041, -1 in ascending order.\nAnswer: -1, -0.00452, 15.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/15*(-4 - -9). Let a(c) = 5*c - 5. Let l be a(q). Let u = l - 2. Let f(p) = p**2 - 5*p + 2. What is f(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 486*s - 13*s**2 - 1455*s + 484*s + 485*s. Let a(n) = 101*n**2. Determine t(a(g)).\nAnswer: -132613*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30795 and 34907159?\nAnswer: 523607385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100351006 is divided by 912?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -32734, -32749, -32774, -32809, -32854?\n\"Answer: -5*n**2 - 32729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4865 - -933. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - 1111?\nAnswer: -1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 49 - 49. Suppose 0 = 3*t - 4*u + u - 36, f = -2*u - 2. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6.47479 - -6.48. What is n rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(11)*-6 + -5 + (sqrt(11) + 0 - sqrt(11)))**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -3*f**2 + 2*f + 28. Determine h(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 148 - 105. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes after 4:02 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 3*v + 16. Let l = v - -15. Let r be l\/2 + (-3)\/(-6). Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*c**3*p - 53*c**3 - 259*p**3 wrt p?\nAnswer: -2*c**3 - 777*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*b**5 + 75*b**4 - 102*b**3 - 48*b**2 = 0 for b.\nAnswer: -8\/5, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*o = -25*o. Solve -2*m + 10 = -4*h - o*m, 4*h + 15 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -626093*j + 314062*j + 315116*j to the form g + h*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3\/2 (b) -7\/3 (c) 3\/7 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 1\/2851 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 18457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -41960*x + 41961*x + 41*x**2 - 89 + 18*x**2 with respect to x.\nAnswer: 118*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -0.08 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 32.903 rounded to one dp?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (16 - 2\/2) + 3. Suppose 3*s = 2*s + a. What is the smallest common multiple of s and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-288)\/504)\/(24\/(-28))*(-10)\/12.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: 5470*-1.07\nAnswer: -5852.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = w - 14, 4 = 5*k + 5*w - 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 8*m**2 - 1302*m + 46070. Give l(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sxmssmxmixp. Give prob of sequence ssx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -3*h**2 - 27. Let z(x) = -x**2. Calculate z(u(b)).\nAnswer: -9*b**4 - 162*b**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 35951501.2018 - 35931523. Let x = 19998.2 - t. Let c = 20 - x. Round c to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -x**3*y + 16*x*y + 108*y wrt x.\nAnswer: -3*x**2*y + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -170*d + 2529. Calculate j(14).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/(-12))\/(3\/(-2)). Let n(w) be the third derivative of 1\/6*w**4 + 0 - f*w**3 + 0*w - w**2. What is n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that w**2 + 119578*w + 3574724521 = 0.\nAnswer: -59789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1336 - 444366?\nAnswer: -443030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 10 = 0, -136123 = -16*t + 11*t - 4*r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10154016 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 362 - 358. What is the closest to 4 in 0.05, 2, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20179700 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*g - 38*g + 6*g + 5*g + 17*g - 2*g**3 to the form d*g**3 + t + a*g**2 + r*g and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*h**5 - h**2 - h**5 + 5*h**5 + (26*h**4 - 4*h**4 + 0*h**4)*((10*h - 4*h + 15*h)*(-1 + 2 + 0) - 3*h + 3*h - 2*h).\nAnswer: 419*h**5 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3149\/6 - -1505\/3. Find the common denominator of -26\/3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 41201780 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-275)\/(-3)) - 6\/(-10).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 10*u = 609. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 9*f. Suppose -d + 3*z + 2 = 0, 7*d + z + 2 = 8*d. Let j(a) be the second derivative of -3*a + 1\/3*a**3 + 0*a**d + 0. What is i(j(g))?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 865*l**2 + 8*l + 3. Let k(q) = 433*q**2 + 4*q + 2. Let a(x) = -5*k(x) + 2*o(x). Let i be a(-1). What is the tens digit of 39 + i\/135 + (-2)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 0*s + 5 - s - 9. Give u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is a0bb (base 15) in base 9?\nAnswer: 51475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vnx when three letters picked without replacement from {x: 1, v: 1, n: 2, p: 2, y: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 619 + 5070?\nAnswer: 5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 5:37 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 433*m + 332 = 435*m. Let r = -121 + m. What is the highest common divisor of 495 and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 8 = 4*t. Let l be 0 + 0 + 30\/t. Solve -w + 4*w - l = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - 1. Let y = 383 - 388. Let t be 1*(-2 - (y - 4)). Sort 0, t, -5, v in descending order.\nAnswer: t, 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 160 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -2*w**2 - 3460*w = 0.\nAnswer: -1730, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.313, -224, -1, -2.9, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 0 + 2 - 33*t + 34*t. Let q be r(6). Let s = q - 7. Solve -5*n - 6 = l - s, 2*n = -l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12*13\/182*(560\/4035)\/16?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1991 - 1168. Suppose l + 255 = 14*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*h - 181 + 12. Is h at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7866 and 133038.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -l**6\/14 - 4*l**5\/35 + l**4\/7 - 24. Factor a(u).\nAnswer: -u**3*(u + 2)*(3*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15270 - -15273. Solve -2*q + 3*q - c*w = -3, 20 = 4*q + 4*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ylyl when four letters picked without replacement from uluulvyyvlyyvvyuyyyy.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(81\/(-6))*-6. Let c be (3 - 1)\/((-32)\/(-6)). Let x be 9 - (-37 + 2796\/60). Sort c, x, -2, s.\nAnswer: -2, x, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21.7 + -22. Suppose 0 = -3*u + 2*u + 7. Suppose x = -3*p - p, 3*x = -5*p + u. Which is the third smallest value? (a) t (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16384, -33245, -50104, -66961, -83816?\nAnswer: -100669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/30 + (-35)\/(-78). Let n = w + -1\/65. What is the common denominator of n and -21\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of -1\/5*m**6 - 1\/6*m**4 + 6 + 2*m + 0*m**5 + 5\/21*m**7 - 21*m**2 + 0*m**3. What is the third derivative of r(j) wrt j?\nAnswer: 600*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3*(2*sqrt(65))\/sqrt(5) - (5 + -2 + 0 + sqrt(13)))*-1.\nAnswer: -30*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/4)\/(6\/18). Let n(t) be the first derivative of 1\/3*t**3 + c*t**2 - 3 + 0*t. Find the second derivative of n(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 313060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 3*i**2 + 16*i + 11. Let x be n(-5). Suppose 0 = -3*r + 5*r - 4. Let d(g) = 3*g + 2 - 4 + r. Give d(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qrdd when four letters picked without replacement from jrdrqqqjdqjqq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/14*(-14)\/(-36). What is the closest to -0.2 in 21, 4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 7 = -a, -30 = -231*a + 236*a - 5*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.218? (a) 0.2 (b) -4\/5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -35 - -35.37. Let j = -0.370011 + o. Round j to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 286228273 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -440 - -413140?\nAnswer: 412200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/5, 3, -1\/6, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 486, 1001, 1546, 2121, 2726?\n\"Answer: 15*q**2 + 470*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -114104, -114092, -114080, -114068?\n\"Answer: 12*o - 114116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 102 - 96. Suppose -5*k - p*a + a + 350 = 0, 2*k = a + 143. What is the remainder when k is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 + 10*n - 61. Let q be x(5). Solve -2*y = z + 8, -5*y - 3*z - q = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6*(9\/3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 5*k + 7. Suppose -2 = -2*q - 2*c - k*c, -2*c = 2. Let f be q - (0 + 0)\/2. Solve -2*w - 5*v + 15 = 0, -f*w + w + 3 = v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w + 3. Let o = 6 + -9. Let c be u(o). Suppose c = -0*g - g + 5. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, e: 7, n: 2}. Give prob of picking 1 j and 2 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 430 - 434. Let r(v) = -v**3 - 4*v**2 - 5*v + 1. Calculate r(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 960 divide 31933891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 5*x = 11, 0 = -n + 3*n - 4*x + 10. Suppose -n*k + 8654 - 2027 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -3, 1064280 in increasing order.\nAnswer: -3, -0.5, 1064280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -25394*k**2 - 56161 wrt k.\nAnswer: -50788*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 5*s**5 - 680*s**4 + 26230*s**3 - 209200*s**2 + 342405*s - 158760 = 0.\nAnswer: 1, 8, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 34373113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/2, 5, -127, -0.4, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(5 + sqrt(2736) + (-4*(sqrt(2736) + -2*sqrt(2736)))**2) + (5 + -1*(sqrt(2736) + 1 - sqrt(2736)) + -2*(sqrt(2736) + -1 + sqrt(2736) + sqrt(2736)))**2.\nAnswer: -816*sqrt(19) + 273656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 701 = 704 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 3*m - 4, -4*m = -b + 5*b. Suppose -y + m = -16. Factor -4*t**5 + 7*t**5 + 7*t**3 + 13*t**3 - y*t**4 + 2*t**5.\nAnswer: 5*t**3*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.7 + 4.3. Let v = -8 + r. Let f be (-2)\/4*8\/22. Sort v, f, -1\/3.\nAnswer: v, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**2 - 19*d - 13. Let q be p(-18). Let j(h) = 2*h + 9. Let u be j(8). What is the greatest common divisor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*i**4 - 3676*i**3 + 11881*i**2 + 38464*i + 780 = 0. What is i?\nAnswer: -78, -2, -1\/49, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2 - 16521984*p - 34121994412032.\nAnswer: -2*(p + 4130496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 14*d**2 + 1301*d + 5184. Give h(-4).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -4, -1\/6, 0.4, -0.076?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12\/11? (a) 4 (b) 6\/5 (c) 3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 + 64*a + 276. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, 0, 7.7?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 104*n - 3. Let s be y(-3). What is the remainder when (-4)\/(-10) - s\/25 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(1\/(-30)*-195)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*z - 6 + 191 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1581 or 4744\/3?\nAnswer: 1581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3 take away 34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -619.1 and 78.\nAnswer: -48289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1989 and 14418170?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -35*w + 3151. What is c(87)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -18.551911 + 22?\nAnswer: 3.448089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 1171160000 to the nearest 1000000.\nAnswer: 1171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 5) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 8 - 32)*(4 + 30 - w - 2) in the form r + s*w and give r.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 309535567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -125 - -82.2. Sort 1\/8, 0.3, s.\nAnswer: s, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1688318 is divided by 1687822?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 275 - 285. Which is the biggest value? (a) -0.5 (b) v (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -1023*y. Let l(f) = -f**2. Calculate l(m(g)).\nAnswer: -1046529*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38505?\nAnswer: 3, 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 52033 + 314?\nAnswer: 52347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -45\/2 - -28. Let a = s - -77\/10. Is a at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the third derivative of s**5\/20 + 8*s**2. Let q(x) = 5*x**2. Calculate w(q(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = 3*s - s + 3*g, 4*g + 16 = 0. Let t = -920 + 891. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-3))\/(8\/(-24)). Let x(b) = -5*b**3 + 4*b**2 - 4*b + 2. Let m be x(r). What is the tens digit of m\/(-1)*28\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - (-30)\/10) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 25256, 201516, 679994, 1611818, 3148116, 5440016, 8638646, 12895134?\n\"Answer: 25188*f**3 - 19*f**2 + f + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.049 and -4064.87?\nAnswer: -199.17863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8959 - 8968. Let r(a) = -4*a - 16. Calculate r(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (44\/(-1287)*3)\/((-18)\/(-27))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4228 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 3*q + 14. Let z(n) = 2*n**2 + n - 32. Let y be z(-4). Let i(k) = 5*k + 26. Let w(u) = y*i(u) + 7*t(u). Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -5 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8729306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 2.097. Let l = 0.1156 - n. Round l to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2095 - 1254. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 137 - 41. Let p = -27058 + 27138. Calculate the remainder when v is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 282 = -2*y, -30*y + 194 = 3*n - 32*y. What is the remainder when 406 is divided by n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:05 PM and 2:22 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add together -32960848 and -3660.\nAnswer: -32964508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 3*l**2 - l - 12. Let u be h(4). Let z = 2 - 3. Sort z, u, 5, 1 in increasing order.\nAnswer: z, u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1432255*d**3 - 837090*d.\nAnswer: -8593530*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 459 - 853. Let a = -394.000134 - v. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 + 2*q**2 - 3*q - 7. Let u(z) = 4*z**3 + 10*z**2 - 10*z - 29. Let h(c) = -9*p(c) + 2*u(c). Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.92 - 6. Let x = 390896\/3 - 130300. What is the smallest value in x, -2\/5, -1\/5, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35509243733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -2*t - 5. Let m = 52 + t. What is the highest common factor of m and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -f + f + f**2 + 0*f**2 - f**2 + 0*f**2 + (-1 - 3 + 6)*(2*f**2 + 4 - 4) - 2 + 2 - 2*f**2 + 2*f**2 + 0*f + 0*f + (4*f + 2*f - 5*f)*(-4*f - 2*f + 3*f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -28665316*j**4 + 1284960*j**3 - 14400*j**2.\nAnswer: -4*j**2*(2677*j - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 20857489*j**3\/3 - 34759437*j**2 - 15223*j - 5\/3.\nAnswer: (j - 5)*(4567*j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yrhyzyryrfz. What is prob of sequence rrf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.4 (c) 0.2 (d) 3 (e) 683 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 + 1219*c - 53945. Calculate j(47).\nAnswer: 1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*c - 0*c. Suppose 6*r + 41 = t + r, 2*r + 74 = 2*t. Suppose 4*y = 5*p - t, 0 = 4*p + 2*y - 8. Solve -32 = 3*a - 5*j, -p*a + 3*j - c = -6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1052 - 851. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 10*p**2 - 121*p + 244. Determine j(12).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -207 (c) 3238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9282 and 2894164?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 552991 is divided by 406?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 2) + ((-44)\/110)\/(78\/(-185))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pmlm when four letters picked without replacement from mllppppmp.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 1643*i + 1046*i = -294*i - 958*i - 256165 for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*r = 4*r + 65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -89.1 + -33. Let s = -122 - l. Let n = -0.63 - -0.03. Which is the smallest value? (a) -1 (b) s (c) n (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9074 = -5*c + 5526. Suppose c - 735 = 5*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -142 + 109. Let b be (-32 - f)\/((-1)\/(-4)). Solve -4*q = -b - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1473 (base 13) to base 3\nAnswer: -11001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (38*f**2 - 260*f**2 - 11*f**2)*(-13*f - 25*f - 2 + 3*f + 2).\nAnswer: 8155*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 104 - 57. Let y = s + -12. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -330 = 25*i - 31*i. Calculate the greatest common divisor of i and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -102 + 2333 = -42*p - 55*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28031660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 1) + -5 - (-5 + 1 + 16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: In base 4, what is -30 - -3123003?\nAnswer: 3122313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 582266 divided by 2.\nAnswer: 291133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 32 - 21. Suppose -m*n = -15*n. Solve 5*u - 4 - 16 = n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q - 5. Suppose 27 = 5*a + 2. Let w be 2 + (12\/3 - 2). Let p(i) = 2*i - 3*i - 2*i + w + 5*i. Determine a*j(m) + 6*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 333 - 363. Is f + 31 - -6*1128 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 - 60. Let m = -97 - v. Let t = -67 - m. Is t less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5\/42 + 20\/21. Let n(q) = q**2 + 8*q. Let i be n(-8). Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1 and 389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 1135 = 4*h. What are the prime factors of h?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*o**3 - 2*o**3 - 36*o**3 - 25*o**3.\nAnswer: -84*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 63255 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7838*i**5 - 16423*i**3 - 848*i**2 + 462*i - 35 wrt i.\nAnswer: -470280*i**2 - 98538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -261583*z**3 + 3859*z + 3?\nAnswer: -1569498*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -362 - -1225. Let k = 848.6 - h. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 42212212 and 387268?\nAnswer: 42212212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (169 + 62 + 229 - 20 - 5 + 2 + 1 + 0 - 4 + 3 + (5 - 4 + 1)*(0 - 3 + 1) + 1 - 3 + 4)*(0*r + r + 2*r)*(-2*r**2 + 2*r**2 - 2*r**2).\nAnswer: -2610*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3357, 2 in decreasing order.\nAnswer: 3357, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -11882 in -5, 2\/15, 1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -60134332 plus 663?\nAnswer: -60133669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 - 230130133011?\nAnswer: -230130133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 218, 200, 156, 74, -58, -252, -520, -874?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/((4 - 5) + 4). Which is smaller: -20\/9 or j?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10402 in 0.4, -2, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 7*w**2 + 2. Let d be t(-7). Suppose -4*l - 20 = 0, 4*n - d*l - 16 = 3*n. Suppose 4*a - n*a + 6 = 0. Let s(m) = 2*m + 1. What is s(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 249434 is divided by 7794?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the first derivative of 0*o**2 + 0*o - 9\/4*o**4 + 7 + 5*o**3. Find the third derivative of i(n) wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/4290 and 17\/66?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0099 and 453.505.\nAnswer: -4.4896995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 - 22*t**2 + 326*t + 173. Determine o(-32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((sqrt(102) + sqrt(102) + (sqrt(102) - (sqrt(102) - ((sqrt(102) - -1*sqrt(102)) + sqrt(102)) - sqrt(102))))\/sqrt(6) - (2*sqrt(17) + 3))*-3)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2 - f + 6. Let d be x(0). Let q be ((-2)\/(-4))\/(d\/12). Is 15 a factor of 18 + 3 - (2 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 171\/86 (b) -14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 PM and 6:33 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 8*a**3 - 12*a. Let h(i) = -2*i**3 - 5*i**2 + 7*i. Let u(m) = 3*m**3 + 7*m**2 - 10*m. Let g(y) = 7*h(y) + 5*u(y). What is 10*g(s) - w(s)?\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -11.1, -0.1, -0.5, 3, 0.02 in increasing order.\nAnswer: -11.1, -0.5, -0.1, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 3335*f**2 - 4*f. Let g(m) = 18*m. Determine r(g(v)).\nAnswer: 1080540*v**2 - 72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67431, -134860, -202287, -269712, -337135, -404556, -471975?\nAnswer: -539392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddvdvddyyvdyvyyyvyv. Give prob of picking 1 d and 2 v.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**5\/5 + 168*t**4\/5 + 2316*t**3\/5 - 2064*t**2\/5 - 30912*t\/5 - 37632\/5 = 0.\nAnswer: -28, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.6 - 2. Let f = -3 - -6. What is the second smallest value in f, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + -1)*-4 + sqrt(7))**2*-4.\nAnswer: -316 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -250 = -13*c - 237 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in sixty-five thirds of a day?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 85 + 40. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**2 + 29*x + 16. Let k be c(-22). Is 345 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (6 + -1)*24\/40. Suppose w*d - 12 = 0, -z - 2*d + 29 = 2*z. Let t(x) = 2*x + 8. What is the units digit of t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8.999974 + 9. What is k rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b + 0 + 0)*(2 - 4 - 1) + 0 + b + 0 + 2*b + 0*b - b to r*b + z and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -0*r - r, 2*h + 5*r + 5 = 0. Solve -7*w + 3*w + 4 = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 divided by -109896\nAnswer: -5\/54948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -316 - -309. Let u(n) = -n**3 - 7*n**2 - 2*n - 7. Give u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 6)*(0 - 1 + t + 2)*(-4*t - 3 + 3).\nAnswer: -36*t**2 - 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -7483, -15034, -22583, -30130, -37675?\n\"Answer: k**2 - 7554*k + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h + 4 = -8. Let c be 5 + (-5 - 2) + h + 3. Solve -6*p + 12 = -c*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*q = -28*q - 32742102. Let c = q - 414738. What is c rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 - 2*l)*(-5 + 3 + 5) + (-13 - 10 - 32)*(1 + 2*l - 1) - 51*l - 3*l - 230*l in the form n + b*l and give b.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 456 is divided by 323.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -848 >= -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/92466 and 109\/110.\nAnswer: 462330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/8 + (248583\/(-656))\/(3\/(-4)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuuuvnvrrggggdgurg. What is prob of picking 1 r and 1 v?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - 6*l**2 + 2. Let j be p(6). Let n(d) = 2*d**2 - 5*d + 2. Let c be n(3). Solve j*a = a - c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*d**2 + 130*d**2 + 227*d**2 - 68*d**2.\nAnswer: 272*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 7:52 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**2 + 30544*t + 30548.\nAnswer: -4*(t - 7637)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*b - 200 + 1272. Suppose -3*l = 5*x - b, 3*l - 5*x = -0*x + 154. Let z = -15 - -21. Calculate the greatest common factor of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*u**3 - 2*u**3 - 4*u**3 + 3*u**3 - 7*u**3 + 0*u**3 + (u + u - 4*u)*(u**2 - 3*u**2 - 4*u**2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 2:06 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 62\/53, -0.4, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:08 PM and 9:09 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2019177 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:23 AM and 6:21 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -536 + 534. Is 26 a factor of 2\/(-5)*g - 14930\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -298 = -2*v - 4*i, 0 = -4*v - 45*i + 40*i + 599. What is the remainder when 450 is divided by v?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 2*y - 7*y + 850, -2*y = -z - 333. Suppose -641*m = -584*m - 3705. Calculate the greatest common divisor of m and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uvu when three letters picked without replacement from vdlupvuvvluv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1\/1115 + -18964\/10035. Let a = 67\/45 + o. Let d = -109\/2 + 53. What is the nearest to a in -1, -5, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.477 + -0.377. Let g be 1\/(-2) + (-1)\/2. Let l be 0 + (1\/4)\/g. Is l > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -149011 by -1.\nAnswer: 149011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-2503 - 0)*1)\/((-4)\/(-20)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -l*z**4 - 4*l*z**3 + 2250*l*z**2 + l + 465*z**6 + 3 wrt z?\nAnswer: -24*l*z - 24*l + 55800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 55*s**2 + 4*s**3 + 3*s**3 + 55*s**3 wrt s.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, 20, -1\/5, 0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 + 3*c + 22. Let l be x(6). Let z(w) = 4. Let h(f) = -f**2 - 1. Determine l*h(s) + z(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.17 and -175?\nAnswer: 29.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + -0.5. Let h be (-4)\/((-120)\/(-54)) - (-6 - 26\/(-5)). Which is the third biggest value? (a) -3 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*g**3 + 37*g**2 + 5*g**2 + 4*g**3 + 28*g**2 wrt g?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 729291, 729299, 729311, 729327?\n\"Answer: 2*d**2 + 2*d + 729287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of l**2*n**3*p**3*u**2 - 3*l**2*n**3 - 48*l**2*n*p**3 + 4*l*n**3*u**2 + l*n**2*p**2*u**2 - 2*n**2*u**2 wrt p.\nAnswer: 6*l**2*n**3*u**2 - 288*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 233 - 166. Let x = 13 - 61. Let w = h + x. What is the greatest common factor of 152 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 60446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 13937.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13 - -9) + -1 + -1 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1233*b = -1206*b - 190728. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 82719 + 217742. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 448 = 2*s + 52 + 56. What is the least common multiple of 160 and s?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.5 - 0.5. Which is the fourth smallest value? (a) -2\/3 (b) -1\/3 (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 = -10*m + 3*m. Is 885\/m + -2*(-3)\/9 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6873, 0.9, -24 in decreasing order.\nAnswer: 0.9, -0.6873, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*x**2 + 15*x**2 + 13*x + 27*x**2 + 10*x**2 + 12*x**2 - 11*x.\nAnswer: -5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10487400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(72) + (sqrt(72) - sqrt(72)*-3)))\/((sqrt(12) - sqrt(84)\/sqrt(7)*-4)\/sqrt(2)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5189\/16 - -326. Find the common denominator of 17\/11 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 26255 and 5605?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1559*z - 3*z**3 + 1423*z - 4631*z + 1649*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 895*f. Let s(w) = 12*w**2 + 32*w + 8. Let j(g) = 2*g**2 + 4*g + 1. Let n(c) = 8*j(c) - s(c). Give y(n(m)).\nAnswer: 3580*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -10818 by -3.\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57750?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 325\/(-78) + (-3)\/(-18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**3 + 74*j**2 + j + 176. What is the remainder when z(-37) is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6148685 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -1600278 by -3.\nAnswer: 533426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 78293 + -78292.62103. Let n = 0.4109735 - u. Let h = n - 0.032. Round h to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes after 9:43 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6465 + 16555. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*x**3 + 1392 + 7*x**3 - 1392 - 78*x**3.\nAnswer: -61*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19600 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*g + 5*g - g)*((0*g + g - 3*g)*(8*g + 3*g - 6*g) + 2*g + 2*g**2 - 2*g) in the form v*g + o*g**2 + q*g**3 + p and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*h**4 + 4164*h**3 + 58626*h**2 + 47140*h - 7200 = 0. Calculate h.\nAnswer: -10, -1, 8\/61, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171)*-2 + 1 + sqrt(304))**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112625?\nAnswer: 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1721, 3448, 5175?\nAnswer: 6902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -0.6, -0.3, -2\/5 in decreasing order.\nAnswer: -0.3, -2\/5, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10002 - -111222?\nAnswer: 122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -203 - 41?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22*(756\/264)\/(-7)*(-7)\/24.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-108)*-9)\/((435\/12)\/(-5)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*h**3 - 2*h**3 + 3*h**3)*(1480 - 743 - 837) as s + r*h**3 + v*h + n*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 7 - 31 = 0. Let v be -14*3*(-4)\/c. Solve -3 = 2*l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 9413110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q = d + 24 - 5, -3*q - 5*d + 10 = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, u: 5, d: 1, z: 7}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1252, -1272, -1308, -1366, -1452, -1572?\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -q**3 - 76*q**2 - 1892*q - 15488 = 0 for q.\nAnswer: -32, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 3, 4, 0, 8\/15, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -103967*d**3*k**3*y**2 + 5*d**3*k**3*y - 2*d**3*k*y**2 - d**3 - 12*d**2*k*y + 5*d + 3*k**3 + 3*k*y wrt y.\nAnswer: -207934*d**3*k**3 - 4*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 390 divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-14)\/(-105) + (-53506)\/(-3580). Let h = 44\/179 - w. Calculate the common denominator of h and -95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -5, -203 in increasing order.\nAnswer: -203, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 149 - 143. What is the remainder when 34 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -32*x**4 + 23*x**4 + 2*x**3 + 6 + 11*x**4 - 2*x as k*x**4 + y*x**3 + h + j*x**2 + c*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 25165 and 1?\nAnswer: 25165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/6 and -115\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -p - 4*p. Suppose 0 = 3*v - 3*z, p*v + z - 1 - 5 = 0. List the prime factors of v\/(-4) + (-60)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 8 - (0 + -4 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**2 + 5*m - 172. Let s = 17988 + -17977. Give p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 56741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 714953 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -683 - -376. Let o = i + 306.85. Let c(w) = -3*w**3 + 2*w - 1. Let l be c(1). Sort o, 0.4, l in descending order.\nAnswer: 0.4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert -34120 (base 9) to base 3.\nAnswer: -1011010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 10 = -2*y. Suppose -4*j - 5*l + 1 = -20, 4*j + 4*l = 20. Calculate the smallest common multiple of y and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2 - -6)*3\/(-4). Let d(o) = -10*o**3 - 3*o**2 - 2. Let t be d(h). Let v = t + -32. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 127.36 + -128.1. Let y = 679.7393 + -679. Let k = y + h. Round k to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - m + 0*m = 47, 4*b + 5*m - 55 = 0. Calculate the remainder when 37 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 522860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1833?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 4 (b) -5 (c) -1\/6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2004692*f**5 - 2*f**3 + 212678*f**2.\nAnswer: 120281520*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 AM and 4:23 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.01633 and 39.\nAnswer: -0.63687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.5 + 0.3. Let n = 6.7 + -6. Let q = g - n. Which is the nearest to q? (a) -4 (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and 1327078.\nAnswer: -2654156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 11351525279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 92*j**3*u**2*x**2 + j**3*u**2 - j**3*u*x - 2*j*u**2*x + 2*j*u*x - 1188*x**2 wrt u.\nAnswer: 184*j**3*x**2 + 2*j**3 - 4*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 292.9 and -0.3?\nAnswer: 293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1197 less than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 547 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0\/((2\/5)\/(1\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6667*a**2*p**2 + 2*a**2*p + 2*a**2 + 2*p**2 - 167*p - 92 wrt a.\nAnswer: -13334*a*p**2 + 4*a*p + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 48 = -w + i, -5*w - 4*i + 87 = 0. What are the prime factors of (-56)\/((-42)\/(-6))*-5*w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2 + 4*s + 0*s**2 - 8 - 3*s**2 + 4*s**2. Let m be j(-6). What is the second derivative of 6*z - 4*z - z**m - 29*z**2 - z wrt z?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-606 - 854 + 1809)*(5*p**2 + 9*p**2 - p**2).\nAnswer: 4537*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -183\/865 - -2\/173. Let y = 0.11 - -3.89. Let p = y - 3. Which is the nearest to p? (a) 2\/5 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 40 + -28. Suppose -8 = -4*r - q. Let y(h) = -5*h**3 + h**2 + 2*h + 1. What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -147 - -1395. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*x**2 - 5*x**3 + 59*x**2 + 212*x - 212*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -188, -715, -1592, -2819, -4396, -6323, -8600?\n\"Answer: -175*q**2 - 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 149749550 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -403 + 219. Let d be m\/(-180) + (-20)\/25. Which is the closest to 1? (a) -0.4 (b) d (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 3*w - 4*x + 10, -31 = 2*w - 5*x. Let a be (-13 - -10)\/(w\/(-5)). Sort 2, a, 0 in descending order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 94.72 + -42.66. Let f = -78 + 130. Let r = f - c. Round r to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - (-5 - -10)) + (0 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 4*u**2. Let a(m) = -m**3 - m**2 - m + 7. Let q be a(0). Suppose y + 5 = 6*y - 5*f, -y + q = 5*f. Let g(b) = -b + b - y*b - b. Calculate z(g(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 19.68842mg?\nAnswer: 0.00000001968842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 5, b: 3}. What is prob of sequence jbjj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 319*k + 315*k + 444 = 0, -715 = -3*i + k. Solve 247*c = i*c + 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/4)\/((-9)\/(-42)). Is i >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-1) + 388\/(-210). Let d = -2\/15 - s. Which is smaller: d or 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (20\/(-8)*2)\/(2\/(-4)). What is the highest common factor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 168 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from ffiiijjjbq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/20*(-337)\/337?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of l**5\/60 - l**3 - 3*l**2 - 32. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, t: 1, w: 5}. Give prob of picking 2 w and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 130 + 468. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 8, t: 3}. Give prob of picking 2 r and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**3 - 39*k + 64. What is l(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -p**3\/12 - p**2\/2 + 6*p = 0.\nAnswer: -12, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = -3*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-66)\/14 - (-14)\/(-49). Let i(t) = -t - 5. Let j(z) be the second derivative of -z**2\/2 + 4*z. Let p(m) = i(m) + j(m). Give p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1816, 1870, 2164, 2818, 3952, 5686?\nAnswer: 8140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100010111 - 10101010?\nAnswer: -111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-23)\/(f*(f*f*((f*f\/f**11)\/f)\/f*f*f*f*f)\/f) assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.5 + -4. Let u = -1.5684 - -259.8384. Let q = -258 + u. Which is the nearest to -0.1? (a) 2\/3 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*v + 72*v - s + 8 = 0, 3*v + 2*s = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11247 in 0.1, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 4*h + 597 - 602 = 0, 22 = 3*b - 25*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -56fe4 - -49?\nAnswer: -56f9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of -1\/4*z**4 + 9*z**2 - 5\/2*z**3 + 0 - 24*z. Let a(d) = 0. What is d?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 238900900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**5\/4 - 37*g**4\/2 - 163*g**3\/4 + 3941*g**2\/2 - 5341*g + 3430 = 0.\nAnswer: -70, -14, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -579380 rounded to the nearest 1000?\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23984013 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76*z**3 + 3020*z**2 - 2164*z - 780 = 0. Calculate z.\nAnswer: -5\/19, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32402 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q + 3*q**3 - 2*q**4 + 3*q**4 + 1 - 2*q as m*q**3 + j*q + g + u*q**2 + t*q**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 93\/(-66650)*-270 + (-2 - 16\/(-10))\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -494773, -493223, -491659, -490075, -488465?\n\"Answer: k**3 + k**2 + 1540*k - 496315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2 - 4*v + 9. Let f be t(-6). Let j = f + 60. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14138 is divided by 284?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 5)*(2*n + 0*n + n)*(-3*n**2 + 2*n**2 + 2*n**2).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**2 - 3*d**3 + 2*d**3 - 2*d**2)*(-5*d + 5*d + 6*d**2).\nAnswer: -6*d**5 - 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 + 0*i**3 + 5*i - i**2 + 5 - 1 + 9*i**2. Let w = -15 + 8. Let u be g(w). Calculate the highest common factor of 72 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -839921694 and -1.\nAnswer: -839921695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 424799531 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + c + 4 = -4, 3*y - 6 = -5*c. Suppose -3*f - 6 = 0, -3*f - 2 = -5*h + 19. Solve s = -y*s - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1984055\/109 - 18202. What is the common denominator of a and 46\/37?\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + -16 + (-1 + -1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9.493049ml in litres?\nAnswer: 0.009493049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 + 12*l**2 - 10*l - 8. Let j be v(11). Let w be 6\/j*(-6)\/4. Let h(x) = -3*x**3 - 2*x + 2. Let t(b) = 4*b**3 + 3*b - 3. Give w*h(f) - 2*t(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 1\/8, 1\/6, -192?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 - 19*j + 45. Determine a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 59004328 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31.913218 - 0.405482. Let r = v + 32.3. What is r rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from knggsggkgunsnsnn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 20258 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, 262, -17, -3, 5, 55 in ascending order.\nAnswer: -17, -3, 0, 4, 5, 55, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -35705*s. Let c(k) = -k**2 + 3760. What is c(h(n))?\nAnswer: -1274847025*n**2 + 3760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o. Let x(q) = 4*q. Let l(m) = 13*u(m) + 6*x(m). Let p(t) be the third derivative of -7*t**5\/60 + t**4\/8 + t**2 - 7*t. Give p(l(s)).\nAnswer: -28*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 3*d - 657, 5*c - 1059*d + 1057*d - 3387 = 0. Solve 10*o - c = -655 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2*-2)\/2 + 1 + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.02 + 0.12. Let c = -5.5 - -2.5. Let u = -5 - -7. What is the nearest to x in c, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -6*m + 3. Suppose -26 = -20*h - 6. Let q(k) = k + 1. Let j(s) = h*x(s) + q(s). Let t(f) be the third derivative of -f**4\/24 + f**2. What is j(t(o))?\nAnswer: 5*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (28 + -16 + -10 - (1 - (-31 + -3))) + 6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(60\/16*6\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*b - 440 = -17*b. Let t = 420 + b. Suppose 0 = -10*r + 8*r + t. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 194 + -188. Solve g - u*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - v = 22, -2*u + 6 = -u - 3*v. Put 4, u, 0 in ascending order.\nAnswer: u, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.03 - -4.97. Let u = 1 - 3. What is the closest to u in 2, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416\/312*6\/(-20)*(-5)\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11*(-22)\/1089*36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -6385937 less than or equal to 3.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*h = -8, 5*a + 2*h = -0*h + 18. Suppose a*m + x - 29 = -m, m - 13 = -x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3b17d + -1c?\nAnswer: -3b19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 3:39 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14527 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46 - 241 - 3*l + 195.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2\/13 - 22*z\/13 + 304\/13.\nAnswer: -2*(z - 8)*(z + 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(48)\/sqrt(4) + sqrt(12))*-1)\/(sqrt(36)\/sqrt(294)).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -11482571090 to the nearest one million.\nAnswer: -11483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.6+0.089\nAnswer: 0.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 AM and 11:05 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 25 = -3*q, -5*q = -3*x - 36 + 17. Solve -p - 18 = 4*c, -5*p + x*c = -4*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2385*y - 7. Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndo when three letters picked without replacement from wdhno?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 4854 = 4308. What is the greatest common factor of b and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = -2*r, 0 = -25*l + 28*l - 5*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -2*p + 4. Let h = 2 + 1. Let t(n) be the third derivative of -n**4\/24 + n**3\/2 - 10*n**2. What is h*t(v) - 2*y(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 7*a**4 + 60*a**3 + 211*a**2 + 290*a + 120. Let s(l) = l**4 + 3*l**3 + l**2 + 2*l. Let y(q) = n(q) - 4*s(q). Factor y(r).\nAnswer: 3*(r + 1)**2*(r + 4)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*z**2 - 10620*z - 95175.\nAnswer: -5*(z + 9)*(z + 2115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = 3*a - 15, 19*a - 198 - 236 = -5*i - 4*a - 23*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -49562 != -49687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 205, 223, 257, 313, 397, 515, 673, 877?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1260)\/672)\/(150\/(-60)*2\/(-12))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 3 x when four letters picked without replacement from xxcmcmxmmccmcccxm.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - -99. Let y = 52 - r. Let n = y + 44. What is the closest to 1\/4 in 0, 2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2259290223.37692 + 0\nAnswer: 2259290223.37692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 602866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(7) + sqrt(175) + 3 + sqrt(175))**2.\nAnswer: 66*sqrt(7) + 853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 30017*d**3*n*r - 2*d**3*n + 27*d**3*r - 2*d**3 - d**2*n*r - d**2*n - 105*d**2*r + 154*d*n*r - 84*d*n - 3*r wrt d.\nAnswer: 180102*n*r - 12*n + 162*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j + 0*j - 2*j + 4*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wcop when four letters picked without replacement from hjcocwph.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u - 1. Let d(n) = n**2 - 13*n + 1. Let a be d(13). Let i(b) be the second derivative of b**3\/3 + 7*b**2\/2 + 142*b. Determine a*i(v) + 3*w(v).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 - 7*m**2 + 0*m - 4*m + 0*m. What is the remainder when r(-7) is divided by 2010\/268*(-6)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + 280*w - 3 = 283*w, -4*g + 5*w = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2914 and 4136.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -23.02181 less than -0.22537699?\nAnswer: 22.79643301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54*h - 51*h + 154*h - 50*h + 57.\nAnswer: -h + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -45330, -1\/7, -6, -3, -0.2 in decreasing order.\nAnswer: -1\/7, -0.2, -3, -6, -45330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 + 12. Let n be c\/(15\/(-162)) + -3. Let w = -14 + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of g*p**3 - 2*g*p*v + 1901*g*p - g*v - 2*p**3*v + 2*p**3 - 82*p*v - 2 wrt v.\nAnswer: -2*g*p - g - 2*p**3 - 82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xpdd when four letters picked without replacement from dedddddddddpddx?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5300447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 190*l**2 + 16*l - 47. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lqfq when four letters picked without replacement from qffqflfffhqfqhhfqq.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/15134 and 16\/5.\nAnswer: 75670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -3*w + 1. Let f be g(-1). Suppose -2*c + 13 = -3*y, 2*c - f*y = 20 - 4. Let k be (-1 - 1*-11)\/c. Solve -k*p - 17 = 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 28 = 4*u - 10*u. Solve u*z = -6*k + 9*k - 57, -5*z - 30 = -3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 17 - 1. Let i = 8 - n. Solve i = -z - 2 - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 969 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 divided by 26.\nAnswer: 21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/32 and -13\/947720.\nAnswer: 3790880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -2082*r**2. Let c(h) = -2*h**2. Give c(a(k)).\nAnswer: -8669448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 g when three letters picked without replacement from sesgbgegeg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 140084928 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = 3*o - 227. Let c = 61 - o. Determine p, given that -317*p**3 - 6*p**4 + 3*p**4 + 311*p**c = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -472, -470, -466, -460?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 35 and 35 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + -87?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77399411.\nAnswer: 431, 179581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -16 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 4*r + 16, 12 - 3 = 3*r. Suppose 6*u + 19 = 3*u - p, -f = 3*u - 4*p. Let w = u - -14. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/4, 44, -61, 0.2, 2\/7, -64?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 100, -10\/111, -0.5?\nAnswer: -10\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 12211, 24407, 36603, 48799?\n\"Answer: 12196*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 111205, 4, 3 in ascending order.\nAnswer: 1, 3, 4, 111205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2.33*-0.2\nAnswer: 0.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of h**4\/12 + h**3\/3 + 13*h**2\/2 + 497*h. Let z(v) = v. Let d(i) = -i**2 - 7. Let a(n) = d(n) - z(n). Give 5*a(j) + 3*g(j).\nAnswer: -2*j**2 + j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**8\/84 - 29*u**4\/24 + 3*u**2. What is the second derivative of h(j) wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(175) - (-2 + sqrt(175) + -1 + sqrt(175) + sqrt(175))) + sqrt(175) + -4 + sqrt(175)*-2)**2.\nAnswer: 30*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6, -0.37422, 23, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qtkthuku. Give prob of picking 2 u and 2 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 50 take away -85654670477?\nAnswer: 85654670527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -d, f = 3*f + 2*d - 6. Let r(i) = -3*i**3 + i**2. Let l be r(-1). Suppose -f*x + 0 = -l*y - 28, 2*y + 16 = 3*x. Solve t = x*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*p + 38*z = -0*p - 42, 9*p + 5*z + 27 = 25*p - 12*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-1 - (2 + -1) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48527 is divided by 15006?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 125 = 30*h, -24*h - 22 = -29*h - 2*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 280 (base 10) to base 15\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 24*r + 2. Let i be l(4). Let g = 11119 - 11140. Let w = i - g. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 724*l = 259*l - 12555 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/3, -0.3, -1, -5\/31 in ascending order.\nAnswer: -4\/3, -1, -0.3, -5\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11969.\nAnswer: 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 726 and 122592118?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 11040 at least as big as -3882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -671210, 3, 177 in decreasing order.\nAnswer: 177, 3, -671210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19*76\/1083*(126\/40)\/(-7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q - 4*q + 15. Let w be 3\/(-9) - (-1)\/q. Solve w = -2*l - 4 + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -52718761 - -52718976.00269. Let d = a - 215. What is d rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2187 and 14367.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 16695 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 7 = -3*d. Suppose -4*s + f + 20 = 0, -2*s - d*f = -6*f - 10. Solve 2*o - 5*o - 6 = 0, a - s*o = 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(200) + 3)*-2.\nAnswer: 24 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 639 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 121b7 - 0?\nAnswer: 121b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 2*r + 4. Find the second derivative of 5*i - 2*i**5 - 2*i + 0*i**r - i wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -67*f*s**2 + 673*f*s + 10*s**2*u**3 + s**2*u**2 - s*u**3 - 4*s*u wrt s?\nAnswer: -134*f + 20*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 + 150 = 6*g + 7*g + j, 0 = -5*j - 25 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**2 + 2*u - 3. Let b(x) = -2*x**2 - 4*x + 5. Let v(d) = 4*b(d) + 7*q(d). Let m = -11 - -7. Let y = m - -3. Give v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*j*u*z**3 - 775*j*z**2 + 5*j*z - 11516*u*z**3 + 2*u*z wrt z.\nAnswer: 30*j*u - 69096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -190*l - 19944. What is x(-104)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k**2 - 38*k + 17. Let x(c) = 2*c**2 + 38*c - 16. Let m(y) = -3*x(y) - 4*z(y). Let j be m(-19). Let u = -18 - j. Solve u*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2556620.\nAnswer: 2, 5, 11, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58832 is divided by 3628?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -3*y**3 - y**2 - 2*y - 2. What is the smallest common multiple of (-3)\/(-1) - 1*-13 and t(-2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -10000111001000?\nAnswer: 10000111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/1716 and -63\/4.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -236, -0.3, 2, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 2*p + 0 + 9 = 0, 0 = 4*w + 2*p - 26. Suppose w*s = 4*s + 3. Suppose 5*k = -o + 12, 0 = -5*o - 0*k + 2*k + 6. Solve 10 = -o*l - s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.34263944 rounded to four dps?\nAnswer: -1.3426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3 and -48378?\nAnswer: 48381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 + 29*m**2 + 131*m + 35. Let c be p(33). Let z(x) = -14 - 4*x**2 + x - x**2 + 0*x**c + 6*x**2. Give z(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -145.873 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = -2*o + 22, o - 14 = -3*o + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (p**2 - 28*p + 28*p)*(-21*p + 73 - 73 + (p - 3*p + p)*(-3 - 6 + 1)) + 0*p**3 + 3*p**3 - p**3 to l*p + x*p**3 + o*p**2 + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 989, 1975, 2961, 3947, 4933?\nAnswer: 5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*k*l*q - 747*k*q + 1107*l*q wrt k.\nAnswer: -2*l*q - 747*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kjcccucujk. Give prob of sequence kck.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 83.85676l in millilitres?\nAnswer: 83856.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3749, -30345, -102795, -244109, -477297?\n\"Answer: -3835*j**3 + 83*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2 - 3.2. Let m = 0.4 + 1.6. What is the second smallest value in d, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 556551727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -335, -337, -339, -341, -343?\n\"Answer: -2*r - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 715311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.7, -11.5, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - 10. Let o(c) = 2. Let s(m) = m**2 - m + 5. Let n = 1666 - 1671. Determine g*s(l) + n*o(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*w**4 - 41227*w**3*x - 1166*w**2 - 220*w - 3*x wrt w.\nAnswer: 504*w - 247362*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 283679917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.614 times 0.3?\nAnswer: -0.1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 22*55\/(-25) + (-44)\/(-10) + -6?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hha when three letters picked without replacement from hhaar?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 223610?\nAnswer: 2, 5, 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 0*y = 5*y - 4, 12 = 2*x + 3*y. Let l be x - -10*3\/(-9). Which is the closest to 1? (a) l (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -625.255 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1201831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 54?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/231)\/((16\/(-5))\/((-286)\/(-65)))\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -873712 divided by -1076.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 716 + 0 + -3 + (-3)\/(-3).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3085*t + 3*t**3 + 2 + t**4 - 3085*t + t**2 to the form j + q*t**2 + r*t**4 + m*t**3 + f*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qbqd when four letters picked without replacement from {s: 1, q: 2, n: 1, o: 1, d: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17 - 15. Suppose -3*m + 194 = -5*a, 2*a = -0*m - g*m + 156. Let x = m - -38. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.06 - -0.18. Let r = -0.02 + q. What is the biggest value in -1, r, 2\/33?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1129 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z**3 - 2484*z**2 + 22104*z - 44064 = 0. Calculate z.\nAnswer: 3, 6, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n - 18 = -2*n - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 8*h = -f - 18, -5*f + 30 = -5*h. Let r(x) = 4*x - 3. Let a(j) = j - 1. Let b(z) = -3*z**2 + 63*z + 59. Let q be b(22). Give f*r(p) + q*a(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 34999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-52)\/(-130))\/((-3)\/30). Which is the second smallest value? (a) 24 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22923 and 62181?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 6*z - 4. Let p be c(1). Solve 0 = 3*m - 4*n, 3*m = -2*n - p*n - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32968505.\nAnswer: 5, 29, 271, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -407596 (b) -3\/7 (c) -13 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**2\/9 - 446788*v\/3 - 24952439618 = 0. What is v?\nAnswer: -335091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -369960 divided by -12.\nAnswer: 30830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -10*v + 145 - 145. Let s(m) = -2*m**2. Determine s(o(n)).\nAnswer: -200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/((-6*22\/264)\/((-2)\/42)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1768 and 1374841?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 97*h.\nAnswer: -97*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -133, -98, -39, 44, 151?\n\"Answer: 12*v**2 - v - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.3 and -28.24.\nAnswer: -28.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -2 + 24*r - 104685*r**2 + 6336*r**2 - 3*r. Let y be b(11). What is y rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -369.3 - -0.155.\nAnswer: -369.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6\/9*(-20304)\/(-12).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 + 28. Let a(x) = -3*x**2 - x. Calculate a(q(f)).\nAnswer: -3*f**4 - 169*f**2 - 2380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 0*f + 8. Suppose h = -f*h. Suppose h = -3*m + 4*x + 34, 8 = -m + 5*x + 1. Calculate the highest common factor of m and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -r**4\/2 - 1511*r**3 + 747450*r**2 - 115492500*r + 5859000000 = 0.\nAnswer: -3472, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Is 63470 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 5:13 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.295 - -0.295. Which is the closest to z? (a) -0.2 (b) 2\/3 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 46176 and -65512.871.\nAnswer: -19336.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, y: 4, s: 7, b: 1}. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 4860 by -18.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -97*t + t**2 - 5*t**4 + 4*t**4 + 97*t.\nAnswer: -t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1340*p - 50529 = -36692 - 58738 - 55599 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 14 = 2*v - 8, 28 = 3*v + i. Suppose -5*o - 5*p + p = -44, -o - 2*p = -v. Solve -5*x + x + o = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7639*d - 3566*d + 3534*d.\nAnswer: 7607*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 4*j + 2*x, -3*j + 5*x - 13 = 4. Let y = -7638 - -7636.3. Which is greater: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, p: 2, j: 4}. What is prob of picking 1 c and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 11*w**2 - 170*w - 331. Determine h(17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 + 93. Suppose 3*m - 3*u - 177 = 0, 5*m = -4*u + 366 - 62. Calculate the remainder when s is divided by m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**2 + 2*v**2 - 3*v**2)*(-1 + 1 + 2) - v**2 + 0*v**2 - 7*v**2 + (6*v + 0*v - 4*v)*(-2 + 2 - 2*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -34 + 24. Let m be (24\/x)\/(8\/(-260)). Calculate the highest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2568072115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 24020023 (base 5) to base 16\nAnswer: 35b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 957538126 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**2\/(a*(a**(-2\/41)*a)\/a))\/((a\/a**(-5))\/a*a**(-6)) assuming a is positive.\nAnswer: a**(84\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (72\/(-50))\/((-3)\/(-180))*-5. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 499d?\nAnswer: 49a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 1*(-1*sqrt(245))**2 + 2 + sqrt(60)\/(sqrt(12)*2) + -2.\nAnswer: sqrt(5)\/2 + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/7)\/p)**27\/(p*p**(3\/2)*p)**(1\/25) assuming p is positive.\nAnswer: p**(-8149\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 167503001389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(130) - (-1*sqrt(130) - sqrt(130)) - sqrt(130))*1*1)\/(sqrt(160)*-1*1*6) + -2.\nAnswer: -2 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 17. Solve -x*f = j - 4*j + 18, 4*j + 5*f = 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1626*p - 700 = -1646*p. Solve 99 + 6 = -p*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/80*84*10. Calculate the highest common divisor of t and 1596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1477414134.\nAnswer: 2, 3, 7, 3908503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1379753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 177 - 90. Calculate the remainder when o is divided by 318\/583 - (-478)\/11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -8*y - 2. Suppose 9*t + 2434 = -113. Let u = t + 289. Let f(m) = 9*m + 2. Determine u*n(i) + 5*f(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6 + 6)\/5)\/(-1). Calculate the remainder when s + 2\/(-2) + 5673\/61 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + 15*q + 3. Suppose -5*g + 73 = -3*f, 4*g = 4*f - f + 68. Find the common denominator of i(f) and 21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-2)\/(-4))\/(2\/108). Let d = -40 - -97. Suppose -d = -3*k - 2*q + 5*q, 0 = 2*k - q - 37. What is the greatest common factor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 - 59*l**2 + 2073*l - 2276. Calculate y(-84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2016) + sqrt(2016) + sqrt(2016)*2 + sqrt(2016))*-4)\/(-4*4*sqrt(72)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**2 + 1053*s - 138428. Calculate y(273).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 80 - 119. Let c = 39 + k. Suppose 0*d + h + 355 = 5*d, c = -2*d - 4*h + 142. Calculate the remainder when d is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -18*u. Suppose -3*t = 2*t. Suppose t = 2*z - 4*k - 13 - 11, -4*z = 4*k + 12. Let f(d) = -2 + 2 - z*d + 3*d. Give f(l(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 6:33 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.5 - 0.29. Let m = -0.21 + d. Which is the nearest to m? (a) -3\/7 (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -67.00058. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 1368*v**3 + 93025*v**2 + 67*v - 62. Calculate y(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5532461581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15768 - 26?\nAnswer: -15805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 1 + 4*r + 1\/3*r**3 + 7\/2*r**2. Let z be q(-6). Which is smaller: -3\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wzsz when four letters picked without replacement from {s: 2, n: 1, v: 1, w: 2, z: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (a + 0 - 2 - 4)*((-4 + 2 + 1)*(3 + 2 - 3) + (0 + 3 - 4)*(40 - 22 - 24)) to the form t + i*a and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 1659*f + 26817. Calculate m(-16).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1112212210 (base 3) to base 15.\nAnswer: -90a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 28.41 in 324, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/(-2))\/5)\/(((-425)\/17)\/250).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1316829403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -331778714257606 - -2\nAnswer: -331778714257604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1498 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1131, -1131, -1133, -1137?\n\"Answer: -w**2 + 3*w - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 260736 and 73332.\nAnswer: 2346624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of -r**4\/24 - 3*r**2 + 1599. Let v(j) = -1607*j**2. Determine v(x(t)).\nAnswer: -1607*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34022*n**3*r**2 + 77*n**3 - 67*n**2*r**2 - 13359*n*r**2 wrt n?\nAnswer: -204132*r**2 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -594 + 836. Let c = v - 264. Which is greater: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -273*n - 50. What is the tens digit of l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-200 + 19 + 99)*(-1 + 1 + 3)*(3 + 3 - 1)*(0*t + 3*t - 2*t).\nAnswer: -1230*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjacmajwccjcccc. Give prob of picking 1 w, 2 a, and 1 m.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n - 2*n**2 + 3*n)*(3 - 2*n - 3) + 2*n**3 + 3 - 3 + 12*n**3 - 4*n**3 + 8*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -14\/83 and -16\/249?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + q - 2*q = 29, -9 = 2*v + 3*q. Let o(y) = -y**3 - 7*y**2 - 5*y - 6. Calculate o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5733253 (base 8) to base 12.\nAnswer: 62b437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2618, 17214, 50270, 96550, 156054, 228782?\nAnswer: 314734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-178)\/(-8) + 1\/(-4). What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2573*b**2 - 88*b - 79*b + 167*b - 994 - 5194 wrt b?\nAnswer: 5146*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -355.4 + 300. Let r = -55 - u. Which is the third biggest value? (a) -0.09 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.47 + 1.4. What is the nearest to 1\/4 in 2, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -5*((-1008)\/45)\/(-8). Let j be (1\/h)\/(2 - (-25)\/(-10)). Which is the third biggest value? (a) -2\/7 (b) 0.3 (c) -27 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-60)\/(-25)*5*(-10)\/(-375)*-10.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2523 (base 14) in base 12?\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of -3*f**4\/16 + 9*f**3\/4 + 51*f**2\/4 + 18*f - 169. Solve c(z) = 0 for z.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8316a8 (base 14) in base 12?\nAnswer: -1592b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -25726*h + 1209115. What is j(47)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4192176886 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -50, -98, -150, -200, -242, -270?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*a**4*b + 9742873*a**3*b + a**2*b + 1887*a**2 + 9152*a*b wrt a.\nAnswer: -360*a*b + 58457238*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 6*b**2 - 63*b - 30. Let o be m(11). Solve -4*z = 4 - 24, o*c - z = -14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -84 + 86. Calculate the remainder when s\/(-11) + (-8176)\/(-77) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 26 = 2*g, -4*c = 5*g - 35 + 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13493 is divided by 95?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3420672019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 163753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q\/q**(3\/10))\/(q*q*((q*q**(-5\/2))\/q)\/q)*q\/((q*q**(-3))\/q)*q**(-4\/7))**(2\/5) assuming q is positive.\nAnswer: q**(534\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0.128, -0.3 in increasing order.\nAnswer: -0.3, 0.128, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*(d\/(d*d**4*d)*d)\/d)\/d**(-8))\/(d**(4\/11)\/(d*d\/d**10)))**46 assuming d is positive.\nAnswer: d**(-2208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 + 14*m**2 - 15*m + 28. Let p(z) = 2*z**2 - 9*z - 5. Let l be p(6). Let k be f(l). Solve j = -4*y + 6, k*y + 5 = -y + 4*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -54 + 1 - -66 - 53?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 85704 divided by 28568\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-26)\/3)\/((-310)\/465).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (((-18)\/20*2)\/(8\/40))\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-11 - 157592\/(-48)) + 5\/(-3*10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 38*v**2 + 3*v + 2. Let j be r(5). Suppose -2*m - 3*p + j = 0, 2*p - 501 = -m - 3*p. Is 6\/(-4)*m\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -749708 divided by 4?\nAnswer: -187427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 91402 and 1018?\nAnswer: 46523618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.2 - 7.2. Sort s, 10, -2 in ascending order.\nAnswer: s, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 31626 and 3114.\nAnswer: 5471298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -41 - -44. Let h be (8\/40 - m\/(-10))*6. Solve 0*a = -2*a - t - h, 2*a - 7 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 5*t. Let u be g(1). Let w(q) = 2*q - 6. Let k be w(u). What are the prime factors of k + -2 + (-1 - -5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (5 + -17)) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (0\/75)\/(1*(9\/1)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 12. Let p be (-195)\/(-27) - w\/9. What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2.2 from 0.223.\nAnswer: 2.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**4\/7 - 8642*k**3\/7 + 360228*k**2\/7 - 3387032*k\/7 - 8284144\/7 = 0. What is k?\nAnswer: -2, 22, 4279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 604, -5\/3, -3.\nAnswer: -3, -5\/3, -0.2, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -100 + 98.98. Let p = z + 0.02. Sort p, -5, -0.1 in decreasing order.\nAnswer: -0.1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-17179)\/(-4) - 122\/(-488)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 - 10. Suppose 3*v - 2 + 17 = n, 0 = u - v - 11. Suppose -u*d + d = -40. What is the highest common divisor of 12 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 AM and 4:45 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1434309.229 less than 0.5?\nAnswer: 1434309.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + c = 24. Suppose -2*t + 400 - c = 0. Suppose -t = -16*x + 12*x. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2334, 4665, 6996?\nAnswer: 9327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 271782 is divided by 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*m**4 + m**3 + 97*m.\nAnswer: 84*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes after 9:31 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 115974 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k - 19 = 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**27\/(l\/l**(-19))*(l*l**(1\/35))\/l*l**(-12) assuming l is positive.\nAnswer: l**(-174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 329*r + 161*r - 124*r in the form n + v*r and give v.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23474 and 968.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-1120)\/(-11) - 228\/(-1254) and 2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.384399 millilitres in litres?\nAnswer: 0.003384399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205 - 199 + 603 - 199 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 64 and 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of d**2*n**2 - 65*d**2*n*u + 288*d**2*u - 2*d**2 + 2*d*n**2*u + 2*d*n**2 - 159*d*u + 2*n*u - 2*n wrt d.\nAnswer: 2*n**2 - 130*n*u + 576*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2427 times 5.55\nAnswer: 13469.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -133312 by 46.\nAnswer: -66656\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3147486 - 1007486. What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1143 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - 111011?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -21\/17 (c) 1 (d) -51.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/28 and (30\/(-4)*52\/6)\/(-76).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2961 - b6?\nAnswer: -2a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -u + 9. Let g(c) = -93*c**3 + 1. Let k be g(-1). Suppose -k - 71 = -u*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (37 - 38) + -8 - (-1 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = -16*c + 13*c + 3, -4*q - 6 = -2*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 10*s**2 + s + 13. What is y(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.44 + -4.49. Is 7 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from feehxbi. Give prob of sequence he.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 289282*f**2 + 2*f**3 + 21*f + f**3 + 289283*f**2 as a*f**3 + x*f + m*f**2 + d and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1820406 is divided by 4119.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50860 = -143*m + 163153 + 64026. Calculate the remainder when m is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4131*u**4 + 61971*u**3\/5 + 61983*u**2\/5 + 20673*u\/5 + 6\/5.\nAnswer: 3*(u + 1)**3*(6885*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 4*i**3 + 2*i**2 - 4*i + 2. Suppose 2*q = q + 2. Is 17 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 361, 721, 1081, 1441, 1801?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(3 + (-4 + sqrt(3) + sqrt(12) + sqrt(3) + sqrt(300)*-1)**2 + 3 + 2) + -3.\nAnswer: 192*sqrt(3) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 2 + 12. Let h = t + 5. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1299832 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (7 + -8 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**2 + 12*x + 3. Let f be n(11). Calculate the remainder when (-7)\/(f\/(-100)) - 3 is divided by (-24 + -2 + 2)*-1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 92210, 184748, 277286, 369824, 462362?\n\"Answer: 92538*i - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-81)\/(-102))\/((-6)\/20*107\/((-10486)\/(-490)))?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/((-11648)\/(-52)))\/((-2)\/(-28)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(-2) + 1 - -1. Let d be g + 1 - (2\/1 - 1). Suppose 3*s = 9, s - 1 = d*q - 32. Solve -p - 5*m = q, 3*m + 0*m = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11.37029003 to four dps.\nAnswer: -11.3703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(3) + 0)*-3 + -3)**2.\nAnswer: 6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92347542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3 (b) 5\/4 (c) -2 (d) 3097.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1137334, 1137335, 1137336, 1137337, 1137338?\n\"Answer: f + 1137333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + 432?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -97*s + 98*s + 5*u, 0 = -5*s - u + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:10 AM and 2:32 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (34\/51)\/((-2)\/(-1197)). Calculate the highest common factor of 3325 and h.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1247 - 1244. Solve 3*q = -2*i - 6, v*q - 6*i + i = -27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 20*w**3 - 6*w - 9. What is z(-2)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39945792.\nAnswer: 2, 3, 37, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -147403, -147402, -147401, -147400?\nAnswer: -147399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -26399 and -2.\nAnswer: 52798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -1 (c) -2\/7 (d) 30 (e) 0.1 (f) 1.7041 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -1 + 7 + 0 - m**2 - 2.\nAnswer: -(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 269*v - 295*v - 2 + 2 to the form n*v + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(4\/(-18))*(5\/140 + (-83980)\/(-31920))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4 + -719.96604010606\nAnswer: -723.96604010606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -1.1 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -362*c - 2 = -361*c - q, 5*q - 45 = 0. Solve 2*f + 3 = 3*j, -f - 5*j - 1 = -c*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1 + 1 + 2*sqrt(120)\/sqrt(6) + 3 + -3 + -1.\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**4 - 21*v**3 - 102*v**2 - 188*v - 120.\nAnswer: -(v + 2)**3*(v + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 162 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -73 (base 14) in base 13?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -500*h**2*l**2 - 3*h**2*l - 42*h*l + 9*l**2 wrt h.\nAnswer: -1000*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(308\/49 - 2\/7). Sort -2, -4, -5, s in ascending order.\nAnswer: -5, -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 109, 112, 117, 124?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 9) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 3*m + 4*z - 26, 2*m = 5*z - 19. Suppose m*r = -2*r. Suppose s - 3*s = -10. Sort r, 3, s.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (108 - 129 - 249)*(-36*n**2 - 73*n**2 + 27*n**2) in the form x + b*n**2 + w*n and give b.\nAnswer: 22140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2052318?\nAnswer: 2, 3, 401, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -88 = -233*u + 211*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/(-70))\/(60\/(-75)). Let d(r) = r**3 + 7*r**2 + 3*r - 12. Let q be d(-6). Suppose q*s + 1 = 7. Is s less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 16812405 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -6465 - 29*z**2 - 6467 + 12930 in the form y*z + k*z**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 62 and 1426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 378 = -9*q + 5*q + 84*q + 138 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 386318?\nAnswer: 2, 419, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.995 - 21.005. Let k = 26.105 - 0.005. Let x = k + m. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**3*y**2 - 1275189*q**3*y - 7*q**3 + 3259802*q**2*y + q*y**2 - 2*q*y + 10*y**2 wrt q?\nAnswer: -6*y**2 - 7651134*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**2 - 2*m + 2. Let v be 1*((-3)\/3 + 6). Let c = v + 6. Suppose y - c + 4 = 0. Let q(k) = -2*k**2 + 4*k - 5. Determine y*g(b) + 3*q(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k**4 - 9100*k**3 - 45690*k**2 + 118660*k - 63875 = 0. What is k?\nAnswer: -7, 1, 1825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -63\/62 and -75\/38.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/sqrt(3) + ((1 + sqrt(2))*-4)**2)*5.\nAnswer: 240 + 170*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.09? (a) 1\/5 (b) 3 (c) -4 (d) -0.04 (e) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -176 - 25. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 + 30556412839.\nAnswer: 30556412839.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 584.9999768 + -585. Round g to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1187234641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -5*q**4 - 6745*q**3 - 2304840*q**2 - 20254100*q - 17956000 = 0. What is q?\nAnswer: -670, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5358430904.\nAnswer: 2, 719, 931577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 - 7*y + 9. Let r be k(-8). Suppose 53 + 127 = 9*g. Let m = 99\/5 - g. Which is the second biggest value? (a) r (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (2 + 1)*1450\/15 and 2?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 250816980.\nAnswer: 2, 3, 5, 17, 245899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0\/((6\/(-2) - -4)\/(-1)). Suppose 5*g - 624 = -3*f, -2*g + 420 = -j*f + 2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -138, -11, -2 in decreasing order.\nAnswer: -2, -11, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 11*s + 17. Let x be o(-17). Let t = -14198473\/19 + 747458. Let r = x + t. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -58406, 5\/4, 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 1\/15 (b) 0.112 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -45) + -52 - (1 + 25) - 1\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*k + 6*v - 113 = -68*k, -2*k = v - 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 3:25 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppvpppppppppvvpppvp.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12102222113 + -11?\nAnswer: -12102222130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 3:17 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = y - 0. Let u(s) = 0*s**y + s**2 + 0*s**2. Let x(d) = 133 - 133 + 4*d. Give u(x(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*j**4 - j**2 - 344664*j + 20891381.\nAnswer: 16*j**3 - 2*j - 344664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1155483?\nAnswer: 3, 7, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3854 divided by -508?\nAnswer: -1927\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3045209\/143 - 21295. What is the common denominator of -41\/44 and s?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -99.9 + 100.6. What is the fourth biggest value in 4, z, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 313806530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 9 = -4*t. Suppose 5*j - 16 = q + 2*q, 4*q = 4*j - 8. Suppose -25 = -t*u - 2*z, -21 = -q*u + z + 7. Is 8 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14.43 + -13.08. What is the third smallest value in 7\/6, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 579666.6 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 0.3 bigger than -0.240614508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -7436*b**3 + 10*b**2 + 2*b - 3. What are the prime factors of m(-1)?\nAnswer: 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2 - 120576805*n.\nAnswer: n*(n - 120576805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g**4\/7 - 136525*g**3\/7 - 6960272*g**2\/7 - 1910636*g = 0. What is g?\nAnswer: -136474, -49, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i + 567. List the prime factors of o(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -591 + 590 - 6*h**2 - h**2 + 7*h**2 - 1086*h**3.\nAnswer: -1086*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/(-27))\/(16\/396).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, 0, 4, -1 in decreasing order.\nAnswer: 4, 0, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1433 - -7173\/5. Let x be 0\/3 - 4\/(-14). What is the closest to x in 0, 5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 + -11 - -21) + (-4 - -7 - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*f + 10*t + 14 = -54, 2*t - 7*t = -8*t + 9 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2013*t**3*x**2 - 13*t**2*x**2 - t*x**2 wrt t.\nAnswer: -12078*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:00 PM and 12:38 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-42)\/(-6*(-3)\/(-12)). Let h = r + -10. Suppose z - h + 0 = 0. 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: Calculate the greatest common divisor of 3007 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - -5)*0\/(2 + 1). Let d = 2 - r. Solve -u + d*u = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7\/3 - (-4)\/6. Suppose 5 = -3*z + 14. Suppose 3*q = -z*o, -o - 3 - 17 = -g*q. Put o, -4, 2 in ascending order.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 - 6*l**2 + 4*l + 1. Let i be o(-7). Find the third derivative of -5 + i*v**2 + 1548*v**4 + 5 - 1573*v**4 wrt v.\nAnswer: -600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 15246 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 290 and 5120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bwf when three letters picked without replacement from {f: 2, w: 1, d: 3, m: 1, j: 1, b: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/(12\/(-9))*(8 + -3). Let i(t) = -t**3 - 15*t**2 - t - 10. Let s be i(c). Let g be -2 + (-2)\/(4\/(-14)). Solve 50 = -g*x + 5*p, -2*p = -s*p + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 3*q - 11, 3*q + 119 = 122. Suppose -y = -2*b - s, 0 = 3*b + b. Factor -22\/17*w**2 + 24\/17*w + 72\/17 - 4\/17*w**3 + 2\/17*w**y.\nAnswer: 2*(w - 3)**2*(w + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a - 4. Let q be z(-7). Suppose -q*c = -0*c + 3. Let x be -5 + 4\/(c - -5). Which is greater: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 669755015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-23 - -4 - -16) + (7 - 21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*l + 2*n + 26 = -24*l, 0 = -4*l - 5*n - 50. Let i = 0 - 4. Let m be 13\/l - 4\/i. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + 5 + 3 + 1. Let u = 19 - l. Solve 11 = -g + 5*o - u, 2*o - 10 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208)*2 + sqrt(130)\/sqrt(360))**2.\nAnswer: 31213\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2530\/(-115)*1*((-168)\/126)\/((-16)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -0.4, -683\/4 in decreasing order.\nAnswer: 16, -0.4, -683\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -4*h**4 - 2*h**4 + 4*h**4 + 3*h**3 - h**2 + 22*h**2 + 10*h**2 in the form r*h**4 + n + b*h**2 + y*h + c*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*q + 0 = -4, -8 = -4*n + 2*q. Solve -7*c + 4*c - 4*t = -8, n*c - t - 9 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-2 - -7) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 1:44 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(45)\/sqrt(3)*-5*2)\/(sqrt(10)\/(sqrt(2) + 3*sqrt(2)) + sqrt(30)\/(sqrt(48)\/sqrt(8))).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 43, 33, 23, 13?\n\"Answer: -10*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 475805351 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.19 - -0.01. What is the smallest value in -2, j, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 5*n - 18. Give z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3, 22, 51, 84, 121, 162?\n\"Answer: 2*t**2 + 19*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*w - 208 = 170*w. Let j(x) = 12*x. Let u(v) = -v**3 + v. Determine w*j(i) + 12*u(i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5067 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, i: 1, w: 4}. Give prob of picking 4 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 PM and 12:13 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10011100101000000111 (base 2) to base 9\nAnswer: 1177025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/5)\/w)**(1\/3) assuming w is positive.\nAnswer: w**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 695524661, 695524660, 695524659?\nAnswer: 695524658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2554 - -15035. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 12 = -4. Suppose -2*w = -4*z + n*z - 50, 3*w = z + 85. Calculate the greatest common divisor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 2 e, and 1 b when four letters picked without replacement from {e: 3, y: 3, b: 12}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -61616, -123304, -185066, -246908, -308836?\n\"Answer: -f**3 - 31*f**2 - 61588*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l**2 - 2*l. Let i be a(2). Let q(w) = -5*w + w + 229*w**2 - 228*w**2. Let j be q(i). Solve j = -4*u - 0*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -142 + 287. What are the prime factors of g + (0 + 2 - (6 + -1))?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of 165 + 0*n**2 - 182\/5*n**5 + 229*n + 0*n**3 + 1\/2*n**4. What is the first derivative of d(r) wrt r?\nAnswer: -728*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1690 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(4*(-5)\/(-10) + -3). Let y be (4\/(-2) - o)\/((-2)\/(-1522)). Round y to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 88855*a**3 - 2*a + 21 - 29618*a**3 + 2*a - 29614*a**3 - 29618*a**3.\nAnswer: 5*a**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 35528.13 millilitres to litres.\nAnswer: 35.52813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h + 53. Let w be j(0). Let b(g) = -6*g - 5. Let p be b(-6). Let v = w - p. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1*(sqrt(5) + -3) + -2*sqrt(245))**2*-4.\nAnswer: -3414 - 312*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/((-8)\/((-8)\/(-2)))*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from lftfyl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + -1010101111111011111?\nAnswer: -1010101111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*j**4\/4 - 3405*j**3\/4 - 166*j**2 + 543*j - 136 = 0. What is j?\nAnswer: -136, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 6*r**2 + r - 4. Suppose -i = 3*i + 32. What is the tens digit of q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (5\/(-3))\/(3 + 7\/((-20790)\/8921)) and 675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -100 divided by -5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 89979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 31222 - 31222.1. Which is the smallest value? (a) 58 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 4, 4\/7, 4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 78276, 313127, 704546, 1252533, 1957088, 2818211, 3835902?\n\"Answer: 78284*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (1*sqrt(1300) - sqrt(1300)))*-3 - (sqrt(1300)*1*2 - (-1*sqrt(1300) + sqrt(1300) + 3)).\nAnswer: -20*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 501711 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23304\/5 + -4651. Let i be 5*-27 + 1\/(-1). What is the common denominator of (3\/(-14))\/((-6)\/i) and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 99 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 599122788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-3)\/b**(-7\/5)*(b**(-4)*b)**45)**(-5) assuming b is positive.\nAnswer: b**683","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -56\/87 and 103\/870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 3. Suppose 10 = r + 1. Let l be (-10)\/(-6) + 3\/r. Let c be b(l). Is -3 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (z + 0*z + z)*(-1 + 1 + 2) + (9 - 7 - 8)*(-z - 5 + 0 + 1).\nAnswer: 10*z + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 - 4*p**2 + 7*p + 5. Let k be g(4). Let f be 2\/3*k\/22. Let v(z) = -1 + z + 2 - f. Let l(m) = m. What is l(v(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 324 = g - 2*l, 1672 = 5*g + 9*l - 6*l. What is the remainder when g is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1, -6.9, 5, 1\/16, 2, -2?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -210 - -209.882. What is i rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 335881109 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -13*(56 + -5)\/(-3) is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -49*v**2 + 12*v + 9*v - 22*v. Let i(l) = -l**2 - 28. Let t(q) = -2*q**2 - 49. Let z(d) = -7*i(d) + 4*t(d). Determine a(z(x)).\nAnswer: -49*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2592 is divided by 159.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/8995 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qpq when three letters picked without replacement from qpqqpq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, p: 2, r: 2, g: 1, d: 1}. What is prob of sequence spgp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -349 + 585. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t + 1. Let x(b) = 2097*b**2 + 2*b + 1. Let d(k) = -m(k) + x(k). Find z, given that d(z) = 0.\nAnswer: -2\/699, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 2*f - 7 = -5*f, -3*m = -f + 19. Let i be (-3 - m - 4) + 3. Solve 0 = 4*g + 3*b - 4*b + 8, 3*g - 2*b + i = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 7*i - 11. Let w(v) = -3*v + 5. Determine 4*d(c) + 9*w(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from shpsovt. Give prob of sequence ohp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -14414 and 0.1?\nAnswer: 14414.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1719959741.\nAnswer: 1103, 1559347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 114 + 15058*m**2 - 30111*m**2 - m**3 - 2*m + 15054*m**2 + 41 to the form t*m + q + l*m**2 + a*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-564 - -27)\/((-3)\/43)?\nAnswer: 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 0*u + 2*u - 3*u + 4. Let h be s(5). Let f(v) = v + 19. Let j be f(-19). Which is the closest to j? (a) h (b) 4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c**5\/4 + 3478059*c**4\/4 + 3478089*c**3\/4 - 31302591*c**2\/4 + 19129347*c\/2 - 3478062 = 0. What is c?\nAnswer: -4, 1, 1159354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/((-228)\/171*5\/710*-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2*108516015\nAnswer: 217032030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91632.\nAnswer: 2, 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -88, 0.2, 5, -3.\nAnswer: -88, -3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7 + 284\/(-40))*(3 - (-1)\/(-2)). Which is the nearest to -5? (a) 1 (b) g (c) -6 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.08, -1\/4, -2, 12, -43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a**2 + 20*a + 117. Let n be h(14). Solve n*q = p - 19, 2*p + 8 = p - 4*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 141\/188 - (-46)\/(-40). Let o = -0.2 - -0.3. What is the closest to -0.1 in o, 3, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1043 + -1044.017. Round g to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 40\/15*2862\/24. Is o less than 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 9*u. Let c(a) = 63*a. Calculate 5*c(h) - 36*w(h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + 6. Let y = z + -6. Let g = 5 - y. Solve 0 = 3*u + g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 + 20. Let d = -11 + 19. Suppose -k - 1 + 13 = -a, 0 = -2*a + d. What is the remainder when o is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -1. Let y(l) be the second derivative of l**3\/3 - 7*l**2 - l - 91. Give 3*d(s) + y(s).\nAnswer: 2*s - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of 0*k**2 - 2*k + 0 + 1\/3*k**3. Let p(x) = -x. What is y(p(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**4 - 15155*o**3 + 166559*o**2 + 378587*o + 196872 = 0.\nAnswer: -1, 13, 15144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1459, -1458, -1457, -1456, -1455, -1454?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-1\/11)\/((l\/l**(-2\/13)*l)\/l)*(l**(-1)*l)**(2\/9) assuming l is positive.\nAnswer: l**(-178\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -11. Suppose -k + m*k = 81. Suppose 0 = -f - 0*f + k. What is the highest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -6\/1373?\nAnswer: -6\/1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4712 = -2*y, -19*b + 1212 = -18*b - 8*y. Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/13, 2\/5, -14, 5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 83*i**3 + 503611*i**2 + 806828*i + 303300.\nAnswer: (i + 1)*(i + 6066)*(83*i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 129.8 + 23.2. Let b = s - 152.8. What is the closest to -0.3 in b, -0.9, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or -210\/61?\nAnswer: -210\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 33344 (base 7) in base 12?\nAnswer: 4a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 - 1\/(-1)*6. Sort a, 1, -1 in ascending order.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 803.6?\nAnswer: 2410.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -13\/47041?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -206 = -3*z + 5*h, 4*h - 103 = 5*z - 468. Suppose -104*c + 99710 = 26*c. What is the remainder when c is divided by z?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 221 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(475) + -1 + sqrt(475) - sqrt(475)).\nAnswer: -3 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3 - -4)*(-111)\/185)\/1*-5*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13 + 150*r - 150*r + 2*r**2 to the form m + t*r**2 + v*r and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i + 37475. Let o(v) = -v. Calculate o(g(t)).\nAnswer: -2*t - 37475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.04, -1\/4, -0.3, -5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 57236 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 75*n**2 - 123*n - 53. Calculate f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*o\/o**(1\/3))**12\/(o**5\/o**(1\/2)) assuming o is positive.\nAnswer: o**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24513*u + 19*u**2 - 24513*u.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 131 and 0.6?\nAnswer: 78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2654 - -1541. Let f = j + 2194. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 95 by -15.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -43564 + 1089102\/25. Factor -8\/25*x + 0 + s*x**2.\nAnswer: 2*x*(x - 4)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.02 + 2.02. Let z = i + -3. Let x = -0.5 - 0. Which is the second smallest value? (a) -0.3 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 70 + -66. Factor -q*g**2 + 2\/3 - 10\/3*g.\nAnswer: -2*(g + 1)*(6*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1001100010011000101001 (base 2) to base 6\nAnswer: -125330413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 207719 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1353, 1433, 1515, 1599, 1685, 1773?\n\"Answer: j**2 + 77*j + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -21311 (base 9) in base 16?\nAnswer: -3718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - (-2)\/(-23))*(-143)\/(-22). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of 0*x + 1\/50*x**6 + 0*x**4 + 7*x**2 + 0*x**3 + 0 - 1\/350*x**7 - 3\/100*x**5. Let h(l) = 0. Calculate l.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/72 and 23\/1341.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3*p + 146 = 0, -3*o = -0*o - 4*p - 221. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 476 divide 1028230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3314377 + -4?\nAnswer: 3314373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 50*w**2 - 7*w - 8. Let z(d) = -d**2 - d - 1. Determine t(o) - 6*z(o).\nAnswer: 56*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 4*t**2 - 6*t**2 - 2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4429853717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - (3*sqrt(84) + sqrt(84) + sqrt(84))) + sqrt(84))) - sqrt(84))*4)\/(5*sqrt(12)*2).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 41843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 + 20*p**2 - 20*p + 22. Let l be i(9). Factor 8*c - c**2 - 24 + 20*c + l*c**2 - 2*c**2 - 5*c**2.\nAnswer: -4*(c - 6)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/44 and -57\/2476.\nAnswer: 27236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 2:08 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - r**2 - 73*r - 249. Determine m(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 19. Let c(v) = -v**3 - 6*v**2 - 3*v - 6. Let u be c(-6). Suppose -7*k = -9*k + u. Calculate the remainder when h is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*r**3 - r**3 - r**3 + (0*r - 3*r + 4*r)*(-r + r + r**2) - 1182*r**2 + 1182*r**2 + 2*r - 5 - 2*r**3 - 3 - 2*r**3 + 5*r**3 - 5*r**3.\nAnswer: -r**3 + 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1120 + 1102?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(5*-6*(-3 + sqrt(125)) - (sqrt(125)*1 + sqrt(125) + 1 - (0 + sqrt(125) + -2))))**2.\nAnswer: -674250*sqrt(5) + 3192350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 + 0. Let y(n) = -n**2 + n - 1. Let q be y(0). Put q, 5, z in ascending order.\nAnswer: q, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**2. Let o(a) = 5*a**2 - 5*a. Let d(g) = -g**2 + 3*g**2 - g**2 + g**2 - 3*g. Let i(p) = -5*d(p) + 3*o(p). What is i(w(q))?\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14.44 + 0.44. Let q = v + 14.034. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1974.22874 rounded to the nearest 10?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 76.82157 centuries in millennia?\nAnswer: 7.682157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -4*n**2 - 9*n - 2. Let h be j(-5). Let a = 57 + h. Suppose a = 3*i + 11 - 1088. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12*m**2*n*y + 5*m**2*y**2 - 3*m*n*y**2 + 56*m*y**2 wrt m.\nAnswer: -24*n*y + 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 AM and 9:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -6*y + 4. Give l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, s: 3, j: 3}. Give prob of sequence scs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -71\/668?\nAnswer: -71\/668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and 2948.\nAnswer: 2947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 46?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b. Let d(w) be the second derivative of -w**3 - 7*w. What is d(r(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that c**3\/4 + 308621*c**2\/2 + 95249390561*c\/4 + 190488905378 = 0.\nAnswer: -308617, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4 + 2 = 0. Suppose -u*w = 2*w + 16. Let r(h) = -h**3 + 6*h**2 - 11*h + 4. Let f be r(3). Put f, w, -3 in decreasing order.\nAnswer: f, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 6, -348, -14470?\nAnswer: -14470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -268231743 divided by -6877737.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (h + 2 - 2)*((2 - 3 + 3)*(-3 + 1 + 4) - 1 - 2 + 2 + 3 - 1 + 1)*(-131*h**3 - 64*h**3 + 2*h**3).\nAnswer: -1158*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0.5 (b) -288 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -44*i. Let j = -219 - -234. Let t(d) = j*d**2 - 32*d**2 + 14*d**2. Determine t(n(z)).\nAnswer: -5808*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 679, 1356, 2023, 2680, 3327, 3964?\n\"Answer: -5*q**2 + 692*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3348.3*-0.01.\nAnswer: 33.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 377333.1l to millilitres.\nAnswer: 377333100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 474296, 474272, 474240, 474200?\n\"Answer: -4*p**2 - 12*p + 474312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/2*(53 + -63). Let t(y) = -y - 5. Let w be t(k). Solve w = 7*c - 11*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-1*sqrt(80)*-3 - sqrt(80) - (2 + sqrt(80) + 1*sqrt(80))**2) + (5*(-2 + sqrt(80) + sqrt(80)*1))**2.\nAnswer: -824*sqrt(5) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3*2*(-2)\/12. Let d(k) = -13*k - 136. Let i be d(-10). Is o > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-28)\/(-6)*17\/(51\/18). Let c be 4\/14*d\/8. Suppose -o + s + 1 = -c, -20 = -4*s. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 69 and 328463?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 126221 and 904.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8.5 - -9. Let f = 1 - j. Which is the second smallest value? (a) -4 (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23622650?\nAnswer: 2, 5, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1217490 = -50*v + 1215790 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7764 - -7909. Calculate the remainder when 2173 is divided by g.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v**2 + v - 3. Let d(o) = -o**3 + 2*o**2 - o + 2. Let l(k) = -3*d(k) - 2*h(k). Find the second derivative of l(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2617, -2079, -651, 2111, 6651, 13413?\nAnswer: 22841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, 0.1, 8, 2\/3 in ascending order.\nAnswer: -0.08, 0.1, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 4 - (-2 - -7 - (-6 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (296\/(-1110))\/(6\/35*2).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(32)*2 + 5)**2*-2.\nAnswer: -306 - 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22 + -32. Let w = -9 - h. Calculate the least common multiple of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 52 + -48. Put 1, 0.3, t, -4 in descending order.\nAnswer: t, 1, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4931802 divided by 21726?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 2*j + 450 = 3*j, 79 = b - 2*j. Suppose -b = -5*a + 101. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -2 - (-2 + 7 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -4 - -6) + -455 + 426.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1651723006 to the power of 1\/2, to the nearest integer?\nAnswer: 40641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*u - 34*u - 580 = 70 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5\/2 (b) -3\/4 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -4*p - 3. Let h(x) be the second derivative of 0 - x**2 + 22*x - 1\/2*x**3. Let r(a) = 2*g(a) - 3*h(a). What is r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of 3*g**4 + 0*g + 1\/3*g**6 + 8\/3*g**3 - 2*g**5 - 8*g**2 + 51. Factor h(y).\nAnswer: 2*y*(y - 2)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1308750 divided by 6\nAnswer: -218125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 26 + 31. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -289 - -316. What is the least common multiple of s and 51?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1461682, 5846776, 13155280, 23387194, 36542518?\nAnswer: 52621252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2039*q + 21857 = 80988 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 106*w + 323*w - 42*w + (0 + w + 0)*(-4 + 0 + 2) + (-35 + 19 + 24)*(-2 - 2*w + 2) to the form i*w + p and give i.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8 times -4724.8?\nAnswer: -37798.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*p**2 + 74302094*p + 49534732.\nAnswer: -2*(p - 12383683)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 2:06 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 1058?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35 - 106*b + 163*b - 9.\nAnswer: 57*b + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7460 - 7450. Let c be (-212)\/5 + 4\/10. Let i = t - c. Are 52 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -152 = -4*y + 4*t, -3*y + 27 = 3*t - 57. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = 5*j + 2*i, 12*j - 4*i + 10 = 11*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 3*f + 33 = 0, 3*f + 37 = -w - 2*f. Let o be (-16)\/w + (-6)\/(-9). Solve 5*g = -3*k + 21, -6*k - g + 11 = -o*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 23 + -20.9. Let l = -2.9 - u. Which is the closest to 0? (a) 0.4 (b) 13\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -3.1 (c) 0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -146722170 divided by -1497165\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 701 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from qpwgwphwqq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are -1136\/775 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16369667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2252.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + 30*t**2 + 68. What is i(-30)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -20*4\/(-48)*-3*(-6)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10\/11*n**2 + 0 - 2\/11*n**4 + 4\/11*n + 8\/11*n**3.\nAnswer: -2*n*(n - 2)*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(26)\/(sqrt(4)\/sqrt(2)))**2 - (sqrt(91)*-1)\/sqrt(7)) + ((sqrt(208) + -3 - sqrt(208))*-3)**2)*-2.\nAnswer: -188 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 657*k*n - 689917*k + 75073027*n - 1 with respect to k.\nAnswer: 657*n - 689917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of 1\/120*l**5 + 1\/12*l**4 + 0*l**2 - 1\/3*l**3 - 1 + 0*l - 1\/360*l**6. Let x(c) be the third derivative of j(c). Factor x(o).\nAnswer: -(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.2 (c) 3\/14 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence smmv when four letters picked without replacement from {s: 5, v: 3, m: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 969295 is divided by 193590.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 95605.\nAnswer: 5, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be (60\/48)\/(2\/8). Solve -6*h + h - 5*a = -g, h + 15 = 3*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -a + 6, 0 = -2*a + 3*n - 0 + 8. Suppose 6 = -f + a. Suppose -4 = -4*h - r, 2*r = -f*h + 4*r + 16. Solve -3*y = -y + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.22 (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 29.6393 + 0.0607. Let x = m + -43.6. What is x rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 149*b + 4891. Calculate f(-33).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100010100101 - 10111100001100101?\nAnswer: -10101111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the second derivative of -z**5\/20 - 5*z**4\/6 - 4*z**3\/3 + 5*z**2 + 2*z - 26. What is p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82354524.\nAnswer: 2, 3, 7, 67, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 b when three letters picked without replacement from {b: 1, p: 2, l: 2, q: 2, w: 10, m: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -213*i + 5589*i + 334*i + 7452*i + 2558*i as y + q*i and give q.\nAnswer: 15720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 271003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106 is divided by 4670\/(-600)*-4 + 8\/(-60).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9613 or 9626?\nAnswer: 9613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 488 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes before 8:53 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.4, 3, 4\/5, -0.008.\nAnswer: -1, -0.4, -0.008, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1))**(1\/21)\/((o\/(o*(o*o**(1\/9))\/o))\/(o*o**(1\/8)))*((o*o**6*o)\/o**(-3\/4))\/((o**4\/o)\/(o\/(o\/o**6))) assuming o is positive.\nAnswer: o**(6521\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11.096? (a) -1\/6 (b) -1 (c) 1\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**2 + 26*n - 161. Calculate s(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xmmxxx. Give prob of sequence mmx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 4 - -3) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 210*w - 555. Let v be y(87). Calculate the highest common divisor of v and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - -344?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 498*s - 58211*s + 1.\nAnswer: -58709*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 - 2*w**2 - 6*w + 2. Calculate the remainder when -5 - (6 - 240\/((-36)\/(-6))) is divided by k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2670.584 litres in millilitres?\nAnswer: 2670584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3.51 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(351)\/sqrt(3) + -1 + sqrt(208).\nAnswer: -1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 3 + 3)*(2 - 2 - 2*x + (1 - 1 - x)*(-1 + 2 - 2)) in the form h + v*x and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 67\/4 + (-3)\/(-12). Suppose 4*l + 34 = 2*a, -a + 5*l - l + i = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2024450.82 seconds in days?\nAnswer: 23.43114375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 PM and 8:30 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1\/2682?\nAnswer: -1\/2682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l. Let o(q) = -2847 - 4160*q + 5733 - 2886. Give s(o(j)).\nAnswer: 12480*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-4)\/8)\/(3\/(-12)). Suppose 59 = 4*y + 5*o, -k + 3 = -o. Calculate the greatest common divisor of 112 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 = -5*m - 32. Calculate the least common multiple of m and 154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 9) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*y**3 + 13212124*y - 13212124*y.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09904 times -4?\nAnswer: 0.39616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 PM and 4:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 0.1 (b) 0.05 (c) -618 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1.7 >= -0.85186574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -51?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 109500034.\nAnswer: 2, 7, 71, 110161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 5 + 2)*(-10*r**2 - 25519*r**3 + 12756*r**3 + 12755*r**3) to the form n*r**2 + z*r + d + x*r**3 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 118595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 4*r**2 + 41*r - 16. What is the hundreds digit of o(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4\/2 + (-258)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 - (3\/(0 + -3) - 2). What is the third derivative of -4*r**2 - 1026*r**5 + 1026*r**5 + 4*r**6 - o*r**2 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -262b72 (base 14) to base 3\nAnswer: -2110202022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4271*n + 16*n**2 + 7*n**2 - 20*n**2 - n**2 to the form y + x*n + o*n**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 673 - 668. Solve -5*k + j = -5*h, -3*k - k - 4*h = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*y + 4077 - 4147 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -111, -105, -97, -87, -75, -61?\n\"Answer: r**2 + 3*r - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -255039 divided by 12?\nAnswer: -85013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12.7 - 12.7. Which is the nearest to -1? (a) 8 (b) 0.3 (c) -0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1898, -14930, -50306, -119198, -232778, -402218?\n\"Answer: -1862*q**3 + 2*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 315 is divided by 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-1*sqrt(243) + sqrt(243)) + sqrt(243) + -4 + (sqrt(243) + -4 + (sqrt(243) - (1 + sqrt(243))) + sqrt(243) - (sqrt(243) + sqrt(243) + -1 + 5)))**2.\nAnswer: -234*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 53477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**4\/11 - 58*g**3\/11 + 468*g**2\/11 - 1350*g\/11 + 1323\/11 = 0. Calculate g.\nAnswer: 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n**2 + 9142 - 9142.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*l - 82 = 138*l + 98 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 49 + 15 + 18 + 14 - 98 - 1478*k**2 in the form v*k + i + b*k**2 and give b.\nAnswer: -1478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4490*c + 17100*c + 20203*c.\nAnswer: 41793*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4260789184?\nAnswer: 2, 66574831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 62327731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 29848 and 5642.\nAnswer: 925288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 3*f**3\/4 + 3579*f**2 + 412551*f\/4 - 213435\/2 = 0. What is f?\nAnswer: -4743, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 133387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1010100101110011 (base 2) in base 4?\nAnswer: -22211303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 1 - 67*o**3 - 3*o + 63*o**3 to c + d*o + f*o**3 + a*o**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 76*y**2 + 17*y - 12. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-4*(((sqrt(120)\/sqrt(5))\/sqrt(2) - sqrt(972)*-2)\/(sqrt(576) - (sqrt(576) + 5*sqrt(576) + sqrt(576))*2))**2.\nAnswer: 1805\/2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2089900 is divided by 1797?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3474*j - 3468*j = 140358. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7690207 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -11*y + 55. Let b be q(0). Calculate the highest common divisor of 10 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -665094*j + 6 - 6 + 674014*j.\nAnswer: 8920*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 + 0 + 1)*(-c + 6*c - 2*c) - 166*c - 147*c + 445*c)*(2 + 2 - 1) to the form b*c + n and give b.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 539116 + -539115.8139255. Let v = -0.186 + s. What is v rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -4 + 6*y - 7*y + 14*y. Let z be d(2). Suppose -11 = -2*k - 5*f + z, f = -1. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -234693, -234688, -234673, -234642, -234589, -234508, -234393, -234238?\nAnswer: -234037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -415 + 420. Is 0.34 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.044 and 0.5.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of -v**6\/120 + v**5\/15 + 2*v**3\/3 + 200*v**2. What is o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1092, -7935, -26252, -61773, -120228, -207347, -328860?\nAnswer: -490497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -0.00561.\nAnswer: 3.99439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 - 2\/((-2)\/3). Let k(h) = h**2 - 12*h + 11. Let r be k(5). Let o = r - -20. Put l, o, -2 in increasing order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -461 - -484. Suppose 6401 + 16 = l*t. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + x - 845. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 - 11*d - 1. Let u be j(12). Suppose 3 = 4*x + u. Let o(f) = -2*f - 3. Give o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -7*a**2 + 12*a**2 - 5 + a**3 - 9*a**2 - a. Calculate m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 + 9*g. Let p be r(-8). Sort 3, p, 1 in increasing order.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 8*w = 15, 3 = n + 2*w. Suppose 5*x = 8 - 48. Let q = 11 + x. Solve -5*k = -n - 7, 4*k - 7 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + -1 - 0\/(-2). Suppose -3*y - s = -4*y. Let g = 55 - 52. Solve z + k + 3 = y, 0 = -g*z + 4*k + 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -5*z + 4*g, 6*g = 42*z - 2*g + g - 98 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -567*q + 16428*q**2 - 85998*q**3 - 321*q + 16 - 15308*q**3.\nAnswer: -2*(37*q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 3, j: 2}. What is prob of sequence jjf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 6*x - 2. Determine w(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -42989529*s + 64854938?\nAnswer: -42989529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-80)\/6)\/(3\/(-9)). Suppose 0*a + b = 5*a. Let y(f) = -f**2 + 7*f + 8. Let c be y(a). What is the second biggest value in 0.2, c, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2559 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 - -53. Find the second derivative of b*g**2 + 8*g**2 + 10*g - 4*g**2 wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes after 4:17 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the second derivative of -r**4\/3 - 13*r + 11. Let n(v) be the first derivative of -v**2\/2 + 1. What is n(p(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 5*t + 22 = -0*t, 26 = -3*x - 5*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 906884\/7 or 129554?\nAnswer: 906884\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -54, -135, -252, -405, -594?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2424700 and 86000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 8032 (base 9) to base 11.\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 101784 by -8482.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 - 27096529406731.\nAnswer: -27096529406743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 26\/(-4) + 6\/4. Let t be ((-100)\/(-16))\/q*-4. Suppose -155 + 40 = -t*g. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -162 divided by -5.\nAnswer: 162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 1\/3, 6, 0.2 in ascending order.\nAnswer: -0.5, 0.2, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -247, -415, -495, -493, -415, -267?\n\"Answer: -b**3 + 50*b**2 - 311*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of -w**4\/4 + 2*w**3 + 91*w**2\/2 + 60. Factor f(q).\nAnswer: -q*(q - 13)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 40 = 51. Solve 15 = -10*x + o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.22 + -0.28. What is the third smallest value in m, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + 12 + 6 + -15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2556 greater than or equal to 226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 - (3\/((-9)\/6) - 3). Suppose 5*v - 29 = -2*w + f*v, 2*w - 39 = -5*v. Let u(g) = -g**2 + 7*g + 6. Give u(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -224*j**2 - 442*j - 20. What is k(-4)?\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 17978 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/4 - 2\/4. Let i(r) be the third derivative of -r**6\/60 + r**5\/60 - r**4\/12 - r**3\/3 + 7*r**2. What are the prime factors of i(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6982*y - 2201*y + 16 - 16 to the form j*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 92 (c) 5 (d) 3 (e) 0.2 (f) 85\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5, i: 3, b: 2, m: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -12*r + 20. What is b(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 415259140 divided by 37.\nAnswer: 11223220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand o + 163*o**3 + 127*o**3 - 261*o**3 + 8*o**5 + (0 + 0 - 2)*(-2*o**5 - 2*o**5 + 5*o**5).\nAnswer: 6*o**5 + 29*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 16772560157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 2*p - 6*u - 5, 3*u - 5 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 270 = -50*j + 920 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 286*d - 281*d = -43001, 4*d = -3*t + 32274. What are the prime factors of t?\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -4*y + 16, 3*b + 6*y = 4*y + 8. Suppose b = 24*a - 28*a + 120. Calculate the highest common divisor of a and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - u + 2)*(-4 + 3 + 3) - 136 + 10*u + 136 + 34*u + 91*u - 14*u.\nAnswer: 119*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.742 - -1.589. What is n rounded to two decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y**3\/2 - 17*y**2\/2 + 33*y - 36 = 0 for y.\nAnswer: 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t - 10 = -12*t, -4*m + 13 = -t. Suppose 3*f - 2*v = m*f + 21, -f - v = -24. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + l = -1 + 6, 0 = -4*p + 4*l + 20. Let n(m) = -11 - 3*m + 5*m - 10 + 4*m**2 - 2*m**p. What are the prime factors of n(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3996.4 - 3956.4. Which is the nearest to 0.1? (a) 2 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -1247\nAnswer: 1\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, e: 5}. What is prob of picking 4 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3*j**2 + 0*j**2 - 5*j**2)*(5585 + 4638 - 25 + 974 + 11697).\nAnswer: -45738*j**2 - 22869","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2218 + 2220. Factor -3\/7*a**5 + 0*a**3 + 3\/7*a - 6\/7*a**4 + 0 + 6\/7*a**u.\nAnswer: -3*a*(a - 1)*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9768*d = -9775*d + 3*c - 128, 0 = 4*c - 12 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j + 10 = 3. Let a(r) = -22*r**2 + 1 - 1 + 4 - 3. Calculate a(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the second derivative of 5\/6*a**3 + 1\/12*a**4 - a**2 - 7*a + 0. Determine g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -506, -1016, -1526, -2036, -2546?\nAnswer: -3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-45)\/6)\/((9\/(-4))\/3). Let g be 2 + -2 + z - 2\/1. What is the second derivative of 25*s**4 + 8*s - 27*s + g*s + 13*s wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-210016)\/200 + (-4)\/(-50). Is 25 a factor of (u\/(-28))\/((-3)\/(-52))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 2*m - 1. Let g be w(-1). Let c(j) be the first derivative of 2 - 3*j - 2*j**g - 1\/3*j**3. Give c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes after 4:08 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 16365 + -9087. Let g(s) = -x + 7278 - s. Let l(k) = -2*k. Calculate l(g(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (163*u**2 - 1503 + 172*u**2 - 337*u**2)*(11*u**2 + 5*u**2 + 5*u**2) in the form h*u**3 + z*u**4 + y*u + q + o*u**2 and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -100, -191, -372, -667, -1100?\n\"Answer: -4*x**3 - 21*x**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b. Let y be r(5). Let h(d) = d. Let v be h(y). Sort 4, v, 0 in decreasing order.\nAnswer: v, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 53.9944 - 54. What is a rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25890 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9432 - 11*y + 9432 - 3*y - 20*y.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.019 and -20287.\nAnswer: -20286.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8526945 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is 1909 a factor of 11226632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/4))**(-7))**(-2\/19) assuming x is positive.\nAnswer: x**(-7\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5031)\/(-273) + -17 + 94\/(-56))\/(-18)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -25399*r - 7. Suppose z = 5*z - 20. Let i be c(z). Let u be i - -3*4\/6. Round u to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-18)\/1)\/(6 + -8). Suppose -4*z = -z - b. What is the first derivative of 4 - 1 - t**3 + 0*t**z wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 5*n - 61000000. Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 25*t - 197. Let n(o) = -39*o + 293. Give 8*i(m) + 5*n(m).\nAnswer: 5*m - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -2\/25, 0.05, 5\/6, -592?\nAnswer: -592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 18219479 = -14780521. What is u rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -39336*t - 3 + 19668*t - 3 - t**2 + 19674*t. Let r be 2 + -1*(-1 + -1). Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1262 divided by -1793?\nAnswer: -1262\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3999, 7448, 10887, 14310, 17711, 21084, 24423?\n\"Answer: -p**3 + p**2 + 3453*p + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -56 + 3 + (194 - 192)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -112*f + 127. Calculate the least common multiple of o(1) and 116 - (30\/5 + -10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (106\/(-7))\/((-20)\/70). Suppose 122 = 5*t - o. Calculate the remainder when 207 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of -c**4\/24 + 2650*c**2. Let a(k) be the first derivative of -251*k**3\/3 - 2. Give n(a(v)).\nAnswer: 251*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/(3\/(-80)) + -3 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 390148 and 2200.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 1299, 3 in ascending order.\nAnswer: -0.1, 3, 1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*k + 12*k = -994. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t = t + 62575 + 23489. What is the greatest common divisor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7 - -3)*(3\/(-2) - 2). Let n be (12\/u)\/(12\/(-84)). Let x be -52 + (0\/(3 + n) - 1). Which is greater: x or -54?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2131332303 (base 4) in base 2?\nAnswer: 10011101111110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2254, -4511, -6768, -9025, -11282?\nAnswer: -13539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-7)\/(h*h\/(h\/((h**2\/h)\/h))*h)*((h**(-6)\/h)\/h)\/(h\/(h**(-5)*h)) assuming h is positive.\nAnswer: h**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 + -10. Suppose 3*r = 2*r + 2. Solve r = -2*p - c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u + u + 0*u + (-278*u - 38*u + 65*u)*(0 - 1 + 2).\nAnswer: -250*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k - 1. Let y(h) = h**2 - 6*h + 10. Suppose 16 = 2*c + 6. Let j be y(c). Suppose 0 = -2*o + j*o + 15. What is w(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7037.32 rounded to the nearest ten?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1904*-129015\nAnswer: -245644560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -144, -579, -1306, -2325, -3636?\n\"Answer: -146*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 2*w + 19. Determine a(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 3*l**5 + 38286*l**4 + 459138*l**3 + 1759680*l**2 + 2295075*l + 956250 = 0.\nAnswer: -12750, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 9909 a factor of 975855381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1bb1950 - 1?\nAnswer: -1bb1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0 - 11517278638\nAnswer: -11517278638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 60719323 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-4685755)\/(-4)*(-1144)\/(-1430) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -167483, -1339992, -4522513, -10720052, -20937615, -36180208?\n\"Answer: -167501*c**3 - 2*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 206*n = -3*k + 208*n - 19, 7*k = 31*k - 4*n + 128 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/257760 and -121\/32220.\nAnswer: 257760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/35344 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 722 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-22)\/4)\/(7\/42). Let n = z + 72. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, p: 5}. Give prob of sequence pgpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22601 or -15\/4?\nAnswer: -22601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-117) + (-2160)\/(-1053). Solve -c - 6*x - 9 = -a*x, -3*x = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -115 - -195. Suppose 224 - b = -4*v. Let g = 59 + v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2008919 * -2.\nAnswer: -4017838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -119 - -208. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 4, n: 14}. What is prob of picking 4 n?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -3*a**2 + 203*a - 1023. Calculate the lowest common multiple of 176 and y(62).\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(363) + 0 + -4) - (6*2*sqrt(15))\/(-6*sqrt(20)\/sqrt(4) - sqrt(5)))**2.\nAnswer: -520*sqrt(3)\/7 + 13459\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 9*u**5\/4 + 289*u**4\/2 + 12053*u**3\/4 + 20350*u**2 + 4375*u = 0. What is u?\nAnswer: -25, -14, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -752*g + 5587 - 21337 = -57*g + 8575 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 10101100001001011000 (base 2) in base 16?\nAnswer: ac258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 25826574 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 7*l**2 + 6*l - 9. Suppose -56 - 52 = -18*q. Calculate c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 330*h**3 - 4*h**2 + 3*h. What is the units digit of a(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (v**2 + v**2 + 0*v**2)*(-1 + 1 + 3*v) - 5*v**3 + 3*v**3 + 0*v**3 + (3 - 3*v - 3)*(3*v**2 - 6*v**2 + 2*v**2) to a*v + h*v**3 + z*v**2 + f and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + 3 - (-3 - -1). Suppose -4*s + 3 = -5*s - x, r*x = -8. Which is the closest to s? (a) -4 (b) 3\/8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -647\/1630 + -1\/326. Suppose 0 = -5*i + 5*k - 45, i + 3*k + 2 = 1. Which is the nearest to i? (a) 0.2 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111001 (base 3) in base 5?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 PM and 4:17 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 95.11 - 86.11. Which is the closest to q? (a) 4 (b) -0.3 (c) -3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 7 = -a, a + 4*a - 3*m - 16 = 0. Let j be (a - 1)\/(-6 - -4). Sort 5, -1, j in decreasing order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 4*u + 556, 2*c - 61 + 345 = -4*u. Let b be (7 + 8)*13\/1. Let d = c + b. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1430 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**(4\/3)))\/g**(5\/11))\/(g**(25\/2))**13 assuming g is positive.\nAnswer: g**(-10843\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 6:22 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -4*f + 1. Let g(u) be the third derivative of u**6\/720 + u**4\/24 - u**2. Let m(t) be the second derivative of g(t). Determine -2*a(y) - 10*m(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 4*v + 7. Let n be s(5). Suppose 0*q = n*i + q - 23, 0 = -3*i - 3*q + 30. What is the tens digit of (2 - 0) + (i - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -17 + (-5 - -4) - -5 - -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2 + (1743\/(-18))\/(-7) and ((-284)\/7 + 0)*185\/(-1480).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**(-5\/4))*(k*k*k\/(k\/(k**(-14\/9)*k*k)))\/k*k*(k\/(((k*k*k\/(k\/k**25))\/k*k)\/k))\/(k*((k**18*k)\/k*k*k)\/k*k))**(-8\/13) assuming k is positive.\nAnswer: k**(3046\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/14 - 0)\/(((-672)\/(-6048))\/(14\/8)).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 16*s - 114. What is i(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1004351?\nAnswer: 43, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (10*9\/450)\/(1\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1186 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13752 and 42.\nAnswer: 96264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7954660 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1793703 times 431?\nAnswer: 773085993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 48209.98 millilitres?\nAnswer: 48.20998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(192) - (0 + sqrt(192))) + sqrt(192))*-2)**2 - sqrt(192)) + (sqrt(192) - (0 + sqrt(192) + -5))**2.\nAnswer: -8*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*g + 128 = 9*g - 2*g. Solve -3*j + 8 + 3 = x, 3*j = -g*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 234, 233, 230, 225, 218, 209, 198?\n\"Answer: -k**2 + 2*k + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9.7 + -9.783. Let q = 10067 + -10066.91574. Let j = q + x. Round j to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 PM and 4:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -69031, -69024, -69003, -68962, -68895?\n\"Answer: h**3 + h**2 - 3*h - 69030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:33 PM and 11:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - n - 12. What is the units digit of -2 + 2 + n + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - -13)*(-10)\/(-8). Let b = 19 - c. Let k(j) = -j**3 + 4*j**2 + j + 4. Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 4*l = -0*l + 3, x - 9 = 4*l. Let u = 4 + x. Let p = -9 - -10. Do u and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106222448?\nAnswer: 2, 6638903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.0459*4\nAnswer: -0.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of -103*f**2\/2 + 23*f - 31. What is the lowest common multiple of z(-1) and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 98103 and 1986?\nAnswer: 64944186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 6) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + 1001?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r - 66*m - 66 = 69*m - 130*m, 19*r + m = 45 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -5*h - 8. Let t(v) = 9*v + 16. Let x(n) = 7*g(n) + 4*t(n). Let l be x(-4). Suppose -b - 1 = s, l*b = -4*s + 5*s + 6. Solve -b = 2*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -288860 by 1430.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) -8 (c) -1 (d) 1 (e) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1286396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -20*w. Let x be z(-5). What is the greatest common factor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -4, -13, -49, -1 in descending order.\nAnswer: -1, -4, -7, -13, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4, -162, -11, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 372150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 0*v - v + v - 7*v. Let u(w) be the first derivative of w**3 + 2. What is t(u(q))?\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24558 - -61333. List the prime factors of y.\nAnswer: 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -730, -2056, -3382, -4708?\n\"Answer: -1326*u + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (30\/(-8))\/(9\/(-24)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21? (a) 4 (b) 2\/7 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 36, 3, 2 in increasing order.\nAnswer: 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + (-20)\/(-8) + 2\/4. Which is greater: 17\/3 or z?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 228517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1200011100122 + -1?\nAnswer: -1200011100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2123032 + -103?\nAnswer: -2123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ouuuuuoooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1560)\/1170 - (1 + (-64)\/3). Solve 5*n - k + c = 24, -4*n + 3*k = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 45*l + 7*l - 8*l)*(1 + 4 - 3).\nAnswer: -92*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from ehqeheehhheeeheee?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3477962 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of -1\/10*r**6 + 0*r**4 + 1\/6*r**3 + 0*r**5 - 1\/7*r**7 - 43 + r - 6*r**2. Find the second derivative of t(m) wrt m.\nAnswer: -120*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of 0*u + 0*u**2 - 2 - u**4 - 1\/3*u**3. What is the third derivative of m(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -301.78 - -302. Which is the third biggest value? (a) -0.2 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 13) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of -f**6\/360 + 17*f**5\/120 + 3*f**4\/4 - 65*f**3\/2 - 148*f. Let d(y) be the second derivative of t(y). Factor d(v).\nAnswer: -(v - 18)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1149, 1155, 1173, 1209, 1269?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11697084 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6309.212 minus 0.00827?\nAnswer: -6309.22027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 117 - 24. What is the remainder when z is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -67, -155, -269, -403?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*k**2 + 10*k**2 - 6*k**3 + (873*k - 37*k**2 - 873*k)*(-2*k + k - k).\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 54 + -51. Suppose 6*b - w*b - 54 = 0. Calculate the greatest common divisor of 162 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/30623 less than -2\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*x**2)*(-x - 4*x + 6*x)*(2 + 1 - 4).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-1 + sqrt(1300))**2 + (sqrt(1300) + (2*sqrt(1300) + 2 - sqrt(1300)))**2.\nAnswer: 60*sqrt(13) + 6503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -47654 (base 10) to base 8.\nAnswer: -135046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -16*b - 149. Let i be r(-9). Sort 16, 4, i, 2 in increasing order.\nAnswer: i, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*d**3\/2 - 558475*d**2\/2 - 82818580*d - 6132627160 = 0. Calculate d.\nAnswer: -148, 111991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, 2\/5, -0.3, 2\/367?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 940714781784?\nAnswer: -940714781783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 285\/(-1900) + (-3)\/12*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 2 = -5. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -2*g**4 + 4686*g**3 + 6*g**2 - 14054*g - 9372 = 0.\nAnswer: -1, 2, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -147792 divided by -9237?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 248 is divided by 74?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 5031, -1, 4, -3, -4 in ascending order.\nAnswer: -4, -3, -1, 4, 5031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -10*w + 353. Determine r(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of 8064*j**5\/5 - 2*j**3\/3 + 1145*j**2\/2 - 10473. What is the third derivative of h(s) wrt s?\nAnswer: 193536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8*(-5)\/(-390)*(14 - (-592)\/(-32))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -55742208 by -55742208.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1017 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 635\/1905*126\/(-10).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of s**3 + 19. Let n(d) = -9*d**2. What is u(n(w))?\nAnswer: 243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s + 3. Let q be x(-3). Let h = 116 + -118. What is the units digit of (h\/q)\/((-1)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 3*o = 2*o - 40, -2*t + 5*o + 24 = 0. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1617387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 10 = 2. Suppose -4*m = -2*z - 8, 2*m - 11 = -m - z. Solve 0 = 5*t + m*h - 1 + 5, c*t = -4*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5429 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 609 and 1146138.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/12 - -11\/36. Let o be 3\/(-2) - 202\/12. Let n = -19 - o. Which is the closest to r? (a) n (b) 0.5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1308\/34008)\/((-3)\/78)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 1)\/(42\/7 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + 0 - (21 + 2)) + (4 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 15 = 0, 12*k + 18 = 15*k + 5*a. Sort 5, k, -14.\nAnswer: -14, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 - -53.1. Which is the closest to -1? (a) -24 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 284 - 272. Let p be 4\/(-18) - 25\/9. Let n(k) = 8*k + 99. Let c be n(-12). Sort a, 4, p, c in ascending order.\nAnswer: p, c, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -54 in 0.2, -217, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9292)\/18 - -2*6\/54. What is the hundreds digit of (x\/10)\/((-150)\/1000)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 5*o + 6. Let j(d) = d + 1. What is 6*j(q) - l(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 50 = r. Suppose 3*u - r - 20 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 288 and 12108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does -2.89 = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (17 - (8 - -8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -143, 442, 27, 5 in descending order.\nAnswer: 442, 27, 5, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1017312801?\nAnswer: 3, 19, 939347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(0 - 3\/(-12)). Calculate the smallest common multiple of 2 and q + ((-2)\/1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -4 + 125*d - 244*d + 127*d. Let h(l) be the third derivative of -l**4\/24 - 3*l**2 - l. What is r(h(t))?\nAnswer: -8*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-2*2 + (sqrt(117) - -3*sqrt(117)*-2))\/(5*((sqrt(99)*1)\/sqrt(11) + 1*sqrt(81))).\nAnswer: -9*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*h + 3*h - 5. Let y = -126.9 + 127. What is the nearest to h in -1, y, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnnz when four letters picked without replacement from {z: 9, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -11008000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (3 - 5) - 3 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of -1 + 1\/12*a**4 + 10\/3*a**3 + 0*a + 14*a**2. Let t(d) be the second derivative of s(d). Differentiate t(b) with respect to b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5428.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -20*d - 32. Let t be o(-7). Suppose -9*a = -2844 - t. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -8*x**3 + 14*x**2 + 26*x - 2. Let a(y) = -4*y**3 + 6*y**2 + 12*y - 1. Determine -14*a(v) + 6*l(v).\nAnswer: 8*v**3 - 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**3\/2 - 243*b**2\/2 - 1170*b - 1050.\nAnswer: -3*(b + 1)*(b + 10)*(b + 70)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 28778 >= 28811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**2 - 3*l**2 + l**2 + (l + 17 - 17)*(2*l - 5*l + 2*l) - 309*l**2 + 45*l**2 - 99*l**2.\nAnswer: -366*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2 + 10*c - 8. Let o = -113 + 117. Let q be d(o). Differentiate q + 6*z**3 + 8*z**3 - 27 wrt z.\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 223*p**2. Let r(n) = -6*n - 4. Calculate r(s(g)).\nAnswer: -1338*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, n: 1, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2718 divided by 151.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -46, -57, -76, -103, -138, -181?\n\"Answer: -4*f**2 + f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -105 - -111. Is 6 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 - 1. Let u be j(7). Suppose -28 = -h - 5*b, -5*h - b + u = b. Solve 4*f - 4 = h*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -171 + 225. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -10 - -2 - -1 - -1. Let o be (-1)\/(2\/(-6)*24\/(-32)). Is 27 a factor of 3\/t - 326\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, 97, -4.\nAnswer: -4, 4\/5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -9788490 divided by -543805\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -121 + 509 + 4246 = -331*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -228 divided by -11?\nAnswer: 228\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 546 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v**3 + 8*v**2 + 2*v + 80. Let w be j(-8). Let o = w + -597. What are the prime factors of o?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 + 11*z**2 - 20*z + 60. Give m(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/11*i**2 + 1\/11*i**4 + 0 + 0*i**3 + 2\/11*i.\nAnswer: i*(i - 1)**2*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 61\/2 of a meter?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2926 and 5320?\nAnswer: 58520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 PM and 2:35 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lxkbblllwklkl. What is prob of picking 2 l and 1 w?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of -17*q**5\/60 + 13714*q**2. Let p(k) = 11*k - 4. Let r(z) = -33*z + 11. Let d(m) = 11*p(m) + 4*r(m). What is t(d(c))?\nAnswer: -2057*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 22*h + 480. Calculate g(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*o**2 - 30*o + 21*o**2 + 10*o + 20*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/(-75) + (-7)\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -880 - -1200. Calculate the highest common divisor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*((-325)\/65 - (5061\/(-1029) + 0\/(-1))).\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0554253 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1764)*2*5 - (-2*2*sqrt(1764) - sqrt(1764)))\/(3*(sqrt(768)*1 + sqrt(768)) + ((sqrt(768)*2 + sqrt(768))*3 - sqrt(768)) + sqrt(768)).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -1) + -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u**2\/5 - 42*u - 412\/5 = 0. What is u?\nAnswer: -103, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -7357.\nAnswer: 5\/7357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 3*l**2 + 4441*l + 3. Let h(s) = -1374*s. Determine d(h(t)).\nAnswer: 5663628*t**2 - 6101934*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -0.55, -76\/33831, -5\/3, 2 in ascending order.\nAnswer: -5\/3, -0.55, -76\/33831, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/8 in 0.105758, 0.1, 11, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17270 and 1370.\nAnswer: 2365990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 174*f + 22 + 2413 = -2785 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -49\/198 - -45218\/99. Sort -3, y, 0.4, 3 in decreasing order.\nAnswer: y, 3, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.5 (b) -1\/6 (c) 2 (d) -670\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6*(-4)\/180*33 - 6\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hbrhhgbgh. What is prob of sequence hhbr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 9:38 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -116349776 divided by -394\nAnswer: 295304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.086 + 0.102. Let m = -0.998 + d. Let o = 0.8141 + m. Round o to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 13*y - 36. Calculate l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 459387437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -4528*b + 24. Let l(x) = -4529*x + 35. What is 2*l(m) - 3*p(m)?\nAnswer: 4526*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 109\/3 - 69\/2. What is the common denominator of (6\/14)\/(10\/(-273)) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 518 and 1946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/4*-1*4. Suppose -5 = -w*q + 3*q. Suppose 5*d - 5*h = 15, d = -0*h - q*h - 9. Solve 0 = v - 3 - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2509 + 3839 = 80*h - 10*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4401940361 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 124 take away -17269574?\nAnswer: 17269698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -8\/3 (b) 4\/9 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*4*((4 + 1*sqrt(21)\/sqrt(3))**2 + (-1*(sqrt(847) - sqrt(847)*2 - sqrt(847)))**2)*-1*5.\nAnswer: -272880 - 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f = -20*p + 7*f + 65, -19 = -4*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 27 = -3*d - 6, -3*x = -9. Let i(l) = -2*l**3 - 4*l**2 - l + 4. Let t be i(0). What are the prime factors of -19*(-2 - d)\/t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -2, -4, 1, 5, 62 in ascending order.\nAnswer: -4, -2, 1, 5, 8, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from krzkrz. Give prob of sequence krz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9354183, -9354188, -9354193, -9354198, -9354203, -9354208?\nAnswer: -9354213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/4)\/((-6)\/36). Suppose -10*q = h - d*q - 261, 3*h - 5*q - 751 = 0. Suppose -9*r + 1931 = h. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 12314467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 500.29 less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 15) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the second derivative of 6*r**3 - 17*r**2 - 2154*r. What is c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4 + 4551*l**3 - 5180173*l**2 + 5166525*l + 10351250.\nAnswer: -(l - 2275)**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y - 6. Let j = 6 - 2. Let k be s(j). Is 15 a factor of 4\/(-1)*(-13)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 11 = -9. Let t = 4 - y. Let r(a) = 1945*a - 15507. Calculate the remainder when r(8) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -22 divided by 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 63768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 398 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -1109.\nAnswer: 5\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of -d**6\/21 + 6*d**5\/35 - d**4\/14 - 2*d**3\/7 + 2*d**2\/7 + 5. What is c in b(c) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 0.1. Let j be (14\/(-21))\/((-4)\/3). Let a = -0.1 + 0.2. What is the nearest to a in j, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/2963050 and 187\/54738450.\nAnswer: 1040030550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of -1\/12*m**4 + m**2 + 4*m - 1\/2*m**3 + 0. Let y be s(-3). Sort 3, 1, y in descending order.\nAnswer: 3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 137, 172, 25, -394, -1175, -2408, -4183?\nAnswer: -6590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 47931*h**2 + 25*h - 14. Suppose -12 = -5*o - 77. Let n be y(o). What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24143 is divided by 2404.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1170 and 278590?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is c in 2*c**2 - 8*c - 1050 = 0?\nAnswer: -21, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -i + 98, -2*i + 40*x - 35*x = -211. Find the first derivative of 129*s**4 + 20*s + i - 2*s**2 - 20*s wrt s.\nAnswer: 516*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2965 and 6282242?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 30 = -2*n. Does 10 divide (30\/8)\/(n\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21212212222021 (base 3) to base 9.\nAnswer: -7785867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 + 4 + (-13 - -15 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -23*f + 2. Let w(l) = -93*l + 42. Let o(a) = 4*t(a) - w(a). Determine o(-30).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 103 (base 8) to base 14\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 15\/6*(-2112)\/480\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**2 - 8*k + 4. Let r be b(-6). Let t = -14 + r. Solve t*i = 0, 0*i = 4*h - i + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*x + 2*b - 3, 5*b = 20. Let r = x - 3. Let s(t) = -6*t + 1. Let v be s(r). Calculate the highest common divisor of v and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -4*b**2 + 2*b - 8. Let u(w) = 5 - 23*w + 19*w - 3 + 2*w + 4*w**2 + 5. Calculate 4*k(z) + 5*u(z).\nAnswer: 4*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is (-7)\/(-70)*-656024*25\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j - 4*j - 2795 = 53*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-45)\/(-2) - (-6)\/(-12). Let d = -10 + o. Solve -u = -3*g + d, 4*u = -u + 3*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -3*p**2 + 8*p - 4. Give u(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4131 minus 1.512?\nAnswer: 4129.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 208 = -3*r, 4*r - 273 = -0*r - d. Let u be -35*((-2)\/7 - 45\/(-35)). Let o = r + u. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 392 and 2254?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 10 - (-2 - 0\/(-2)). Suppose 5*l - z = 2*r + 78, -4*l = 4*r - 100. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 - 38*l**2 - 29*l + 274. Calculate g(-37).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 33*z - 261. Give x(5).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - ((-7 - -11) + -21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(-95)*(-21)\/(-4). Let y = -8\/19 + x. Sort -2\/3, y, -2\/9 in ascending order.\nAnswer: -2\/3, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (136\/(-20))\/(2\/(-10))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 4140*b**2 - 8*b + 8. Let f be m(6). What is f rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -26*m - 77. What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x = 547 - 520 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1037*u*z**2 - 108*z**2 - 2*z with respect to u.\nAnswer: -1037*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1033 (base 4) in base 7?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2850 - 2847. Solve u = -g*p - 2, -3*p + 8*p = 4*u + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 2:46 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -2*g + 10. What are the prime factors of (-1)\/g + 105\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, b: 2, t: 1}. Give prob of sequence brt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -11*x + 3. Let p(f) = 10*f - 3. Calculate 5*o(k) + 6*p(k).\nAnswer: 5*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**3 - 4*x**2 - 11*x - 2. Suppose 4*v - 39 = -3*y, 15 = 5*v - 5*y + 2*y. Let m be c(v). What is the hundreds digit of (-1 - -42)*m - (-4 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 + 21. Let t = -8.5 + s. Let o be -2*(-4)\/16*-6. Which is the second biggest value? (a) -0.3 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20*-33*(-32)\/(-1408).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 8 = -0*l, -3*w - 4*l + 43 = 0. Suppose 5*s - 13 = 27. Calculate the smallest common multiple of s and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes after 9:38 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 8:01 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2903 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11433405?\nAnswer: 3, 5, 762227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 0 + (-3*sqrt(1584)*1 - ((2 + sqrt(1584))*-1 - sqrt(1584)))**2 + -5.\nAnswer: -48*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8\/24*3\/2 + -24. Are 0.2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of -b**6\/120 - b**5\/60 + b**4\/12 - b**2 + 3. Let k(y) be the second derivative of u(y). Suppose k(m) = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -27*w + 73 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 268 - 240. Let p be 36\/m - 4\/14. Let d(h) = 2*h - 5. Let c be d(5). Solve -5 - p = 4*b - c*f, 4*b + 24 = -4*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 20*v**2 + 1210*v + 402. Give p(-26).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31036 is divided by 3447?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(-4) - (11 - 10). Suppose 0*w = -w + 5. Suppose -7*q + 3*q = -w*y + 16, -10 = -2*y - 2*q. Which is the nearest to 0.2? (a) y (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -669.2 + 614. Let i = -56.193 - n. Let v = i - -0.993649. Round v to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -271*h**2 - 15*h. Let o(t) = -162*t**2 - 9*t. Let x(m) = 5*o(m) - 3*v(m). Let c(f) = -7*f - 79. Calculate x(c(u)).\nAnswer: 147*u**2 + 3318*u + 18723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 101, 9, -2, 22 in ascending order.\nAnswer: -2, 9, 22, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-10)*264\/(-198).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w**2 - w + 11. Let z(v) = 2*v**2 - v + 7. Let n(t) = t**2 - t + 1. Let m(d) = n(d) - z(d). Calculate 4*i(u) + 7*m(u).\nAnswer: u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/548423 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 2\/339 (c) -192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - 13600?\nAnswer: -13604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 16 = 3*w, -3*w + 8*w + 3*o = 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 + 2 + (-6 - 2) - -4) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/56 and -89\/350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3808.8 rounded to the nearest ten?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llxlollllllxl. What is prob of sequence lol?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Sort -1, -40, 20, 5 in decreasing order.\nAnswer: 20, 5, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 4.870755 micrograms?\nAnswer: 0.000000004870755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9638 + 0.1104.\nAnswer: -9637.8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.02 in 0, 0.5, -0.0799?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 2*s**2 + 3*s - 2. Suppose -6 = l - 3. Let m be w(l). Let t(u) = u**3 - 7*u**2 + u + 6. Is 7 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2102 (base 3) to base 7.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/33 (b) -0.25 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -2*l - 2*f, -4*f - 17 = -6*l - 14 - 19 - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-792)\/440 + (-24)\/(-5). Let x(s) be the third derivative of 7\/24*s**4 + 1\/60*s**5 + 0*s + 0 - 1\/2*s**m - 15*s**2. Determine x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 - n**2 - 2*n + 2. Let s(p) = -2*p**3 + 76*p**2 - 2*p + 17. Determine -h(u) + s(u).\nAnswer: -u**3 + 77*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 850 a factor of 42130804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 15548847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 4*k = 0, 2*a - 2*k - 8 = -32. Let l = a + 20. Let y = 14 - l. Solve 10 = -5*g - y*p, 3*g + 2*p + 2 = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 430304, 860614, 1290924, 1721234?\n\"Answer: 430310*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(6\/7)\/t*t*t\/t**36)**50)**(-25) assuming t is positive.\nAnswer: t**(298750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from myymvkoio. Give prob of picking 1 m, 2 y, and 1 k.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-12741982\nAnswer: -6370991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 0*v - 2 = 0. Let c = 12 - 5. Let h = c + v. Solve -3*b - 4 - h = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/5 (c) 1 (d) -3\/8 (e) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/6)*c**(-6)*(c**(-2))**5)\/((c*c**(-5\/4)\/c)\/c*c*c*((c\/(c*c**5*c))\/c)\/c*(c*c**(1\/2))**(-7\/6)) assuming c is positive.\nAnswer: c**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 162 = -3*h, -4*h = -5*p + 75 - 294. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 8bd + -c?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 117*g*y**2 + 2*g - 157*y**2 + 2 wrt g?\nAnswer: 117*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 66403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + (3 - 15) + (4 - 1) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + 0 - (-39 - -31 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8*2\/(-2) + -1768*8569. Round j to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l**3 + l**2 + 14*l - 1. Let v(h) = 1098*h**3 - 4*h**2 - 253*h + 1. Let n(b) = 4*j(b) + v(b). Find the second derivative of n(m) wrt m.\nAnswer: 6636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3\/8 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6 + -5 + 25 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10.2 - 7.2. Let w = -1231109\/8 - -153688. Let a = -201 - w. Put a, -5\/4, x in decreasing order.\nAnswer: x, a, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11.1 + 10. Let j = l + 0.1. Sort j, -4, -0.4 in increasing order.\nAnswer: -4, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*u = -62 + 8. Put 1, u, 29, 5 in decreasing order.\nAnswer: 29, 5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1 + (2 - (4 + -4) - -112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of 2*z - 1\/2*z**2 + 9. Give y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1251000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 3 o when four letters picked without replacement from {m: 9, o: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 475 - 59*f**4 + 7*f - 10*f - 476 as x + v*f + i*f**3 + n*f**4 + w*f**2 and give n.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13849 - 13845. Solve h = -3*y - 3, 16*y = -s*h + 12*y - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 4\/3 - 11\/(264\/(-280))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(720) + 1)*-5*2 - (-2 + (sqrt(5) - (-4 + sqrt(80))) + (sqrt(20)*2 - sqrt(5)) + sqrt(5)))**2.\nAnswer: 2904*sqrt(5) + 73349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of q**2 + 646817*q - 618153 wrt q?\nAnswer: 2*q + 646817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/267 + -5354\/1869. Calculate the common denominator of d and 22\/6 + 6\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 13 (b) 1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.75 - -2.45. Let l = 1.47 + -0.07. Let q = l - d. Put 1\/8, 4, q in descending order.\nAnswer: 4, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -y + 4*y. Let v be (-5)\/(-20) + 429\/(-4). Find the common denominator of (y - 3) + v\/(-14) and -59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 27342248 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 96 in -16, -5, -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 4*p**3 - 2*p**2 + 2*p - 6. Let d(t) = -3*t**3 + t**2 - t + 5. Let o(a) = 3*d(a) + 2*r(a). Suppose 3*i = i. Give o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2*o + 6 = 0, 2*u + 2*o = 5*o + 13. Let b = -13 + u. Let y(a) = -4*a - 4. Suppose 0*m = -4*m + 48. Let f(l) = -10*l - 10. Calculate b*f(z) + m*y(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 283331.2ml in litres?\nAnswer: 283.3312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 202*z - 238*z + 107*z + z + 0 + 0 - 3*z + 3*z + z + (-5 + 0 + 3)*(-3*z + 0*z + 5*z).\nAnswer: 69*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -4*a**2 - 6*a + 44. Determine k(7).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27940 is divided by 13882.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -40.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (-7 - -4) - (14 - ((21 - 2) + 28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g**3 - 134*g**2 - g - 5. Let p be h(-67). Solve 0 = -21*f + 64 + p for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1187667234935 minus 659?\nAnswer: -1187667235594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 12:42 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b - 1. Let s(v) = 173*v + 5. Let x(z) = -6*n(z) - s(z). What is the hundreds digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 102*u - 19 - 100*u)*(0 + 2*u + 0) as i + s*u**2 + z*u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17422572003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/2)\/((-3)\/20). Let p = o - 7. Let l = 0 - 3. Put p, l, -5 in ascending order.\nAnswer: -5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 1 + -1 + 1. Suppose 2*m = -2*t + 10, 4*t = 2*t + y*m + 14. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5208 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pupuuphh. Give prob of sequence uupp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-13 + 30 - 22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 153 and 137445?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 2.2035 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 PM and 4:05 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u**3 + 3*u**3 + 2*u**3)*(6*u - 12*u - 14*u)*(-2*u - 6 + 6 + u + u + 0*u + (-1 - u + 1)*(-1 - 1 + 0)).\nAnswer: -80*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -235486, -470971, -706456, -941941, -1177426, -1412911?\nAnswer: -1648396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**3 - 50*o**2 - 49*o - 27. Let w be a(-24). Let n be w\/(-7) + (24288\/77)\/6. Is 262\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2 + 0 - 3 - 1 + 3*l. What is the tens digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 424125762 to the power of 1\/2, to the nearest integer?\nAnswer: 20594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -9*k**3 + 9*k**2 - 2*k + 2. Let u = 7 - 12. Let i(p) = 5*p**3 - 5*p**2 + p - 1. Let q(l) = u*i(l) - 3*h(l). What is q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 9, 11, 13, 15, 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29 - -37. Does 21 divide ((-38)\/z)\/(8\/(-160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4 - 7 - -34*3\/(-4). Let o = k + 28. What is the nearest to -4 in 5, o, -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00037250699 to seven decimal places.\nAnswer: -0.0003725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -112 (base 3) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -186 - -247. What is the second derivative of -54*c - 39*c + 1 + x*c**5 + 8*c wrt c?\nAnswer: 1220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 3:22 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -3b (base 12) in base 4?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 - (6 + 5 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16 + 13. Let y = 57\/2 - i. Which is the smallest value? (a) y (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -2*l**3 + 24*l**2 + 23*l + 34. Give m(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.4 and -1118.\nAnswer: -1117.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -205311354, -410622707, -615934060, -821245413, -1026556766?\n\"Answer: -205311353*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 248401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 164 = 5*m + 4, 26 = m + 4*o. Suppose 0 = l - 2*l + m. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the second derivative of -5*g**4\/24 + g**3\/3 - 5*g**2\/2 - g. Let k(y) be the first derivative of x(y). What are the prime factors of k(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 + 2*v**2 - v - 2. Let n be s(2). Let y = 3.05 + -3. Let x = -0.15 - y. What is the third biggest value in -1, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (180\/(-87) + 2)\/(-1 + 128\/(-36)). Is 1 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(833) + 3)**2 + -3.\nAnswer: -84*sqrt(17) + 3338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -2*l, -3*q = -4*q + 5*l. Suppose -r - 4*r = q. Solve 4*j - 2*j + 6 = r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -t**2 + 10188*t - 61615 wrt t.\nAnswer: -2*t + 10188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 17416 (base 12) to base 11.\nAnswer: 23128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**3*z\/z**4*(z\/z**1)\/z*z*z**0\/z assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 931663*u**3 - 85298108 wrt u.\nAnswer: 2794989*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 divided by 1995664.\nAnswer: -3\/498916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 110.92 - 109. Let d = -2 + p. Let z = 0.22 - d. Which is the smallest value? (a) 1\/6 (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8848 - -4765. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/17 - 2\/17*m**2 + 18\/17*m.\nAnswer: -2*(m - 8)*(m - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 1 + 0 + 5 + 6*h - 5. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1120211022 - 100012?\nAnswer: 1120111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1039 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 p when three letters picked without replacement from dlplllyddypppdpy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -22321022 - -3212?\nAnswer: -22311210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-4 - -2) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 310 - 101. Let k be (-5 + 14)*2\/6. Let u(o) = 7*o**2 - 3*o - 1. What is the remainder when x is divided by u(k)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o - 16. Let q be w(10). What is g in q*g**4 + 10*g + g**4 - 3*g**3 + 15*g**2 - 37*g**3 = 0?\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 285397.\nAnswer: 4\/285397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -5*r**2 - 5*r - 7. Let p(x) = 6*x**2 + 5*x + 8. Let m(l) = 5*o(l) + 4*p(l). Give m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -4*w**2 + 5*w + 4. Let s(k) = -13*k**2 + 15*k + 13. Let d(r) = -4*s(r) + 11*z(r). Is 14 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*x + 123*x - 3 = 0. Find o, given that 0 - 10\/3*o**4 - 8\/3*o**2 + 0*o - 2\/3*o**5 - 16\/3*o**x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 416522 and -0.1?\nAnswer: -41652.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28739583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y\/(y**1*y)*y*y)**(8\/9)\/(y**(-2\/3)*y*y)**(-38))**34 assuming y is positive.\nAnswer: y**(5440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1412 - 999.592?\nAnswer: -2411.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*f + 25 = 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 158905.\nAnswer: 5, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(77)*-2 + sqrt(77) + sqrt(77)))\/((sqrt(11) - (sqrt(77)*-3)\/sqrt(7)) + sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 58, 114, 182, 268, 378, 518, 694?\n\"Answer: i**3 + 49*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -29, 7, -17, -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 3 = -k. Let y(o) = -k + 5 - o + 2 + 2*o. Calculate the remainder when y(6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 + 1 + 100 + -97 - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*o**2 - 3*o**2 - 2*o**2)*(-3895*o + 11635*o - 3891*o - 3873*o - 478*o**2).\nAnswer: 478*o**4 + 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - y - 132, -2*b - y = 2*b - 176. Let x = b - 25. Let r = -173 - -266. What is the remainder when r is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 - 1) + (12 - (2 + -1)). Suppose -p*z - 47 + 463 = 0. Suppose -20 - z = -4*j. What is the remainder when 33 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 103, 192, 211, 124, -105, -512?\n\"Answer: -6*t**3 + t**2 + 128*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2484 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/262)\/(32\/32)*2.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_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 closest to -2\/5 in -107, -124, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22*y**2 - 22*y**2 + 2*y**3 + (3*y - 3*y + 3*y)*(11*y + 2*y**2 - 11*y) to r*y**2 + t*y**3 + m*y + j and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -3*x**3 - 65*x**2 - 60*x - 370. Let z be l(-21). Solve 5*m - 11*f + 12*f = -4, -4*m + 4*f = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-5 + (0 - -4) + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3697, 3672, 3619, 3526, 3381, 3172?\n\"Answer: -2*f**3 - 2*f**2 - 5*f + 3706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m + 19. Let q be k(-11). Find the second derivative of z + 2*z**5 - z**5 - q*z**5 + z wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13987 is divided by 604?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 32\/(-18) + -3 + (7 - 2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7030)\/(-518) + ((-10)\/(-7) - 1). Let u be (3 + c\/(-6))\/(2\/(-3)). Sort -6, -3, 4, u in decreasing order.\nAnswer: 4, u, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - y - y + (-5*y - y - 2*y)*(1 + 1 + 0))*(854 - 107*y - 854)*(y**2 - 2*y**2 + 3*y**2).\nAnswer: 3210*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -4*l - 0*l. Let h(q) = -q**3 - 3*q**2 + 2*q - 4. Let n be h(l). Let i = 139 - 121. Calculate the greatest common divisor of n and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14440 - -14531. What is the highest common factor of s and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 8. Suppose -4*z = -t - 14, s*z = t - 0*t + 9. Let r(h) = -h**2 + 7*h - 5. Let f be r(t). Solve f = l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*k - 10*k**3 + 8*k - 16*k.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -1974*o - 72570 + 8687 = 1259 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + 3)\/(9\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -1083*t + 129 - 47 - 43 - 37 in the form c*t + g and give c.\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a - 3*l = 6*a - 6, 4*l - 8 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, l: 3}. Give prob of picking 2 m.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 36927, 73842, 110757, 147672?\n\"Answer: 36915*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 532.9773 - 533. Let l = c - 10.0173. Let g = l - -10.04519. What is g rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 7*l**2 + 1. Let f be w(1). Let u = 1.777 - 2.277. Which is the third biggest value? (a) f (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002765752 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 3*d**3\/8 + 45*d**2\/8 + 81*d\/8 + 39\/8 = 0. Calculate d.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 8:02 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*g**3*z + 6*g**3 + 2*g**2 - 2*g + z - 24 wrt g.\nAnswer: -18*g*z + 36*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99*(-24)\/756*104\/(-143).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f - 71943*t + 12 = -71940*t, -f - 4*t - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 60 and 14 + 7\/((-84)\/(-192))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -7*b - 3. Let n(v) = 3*v**2. Let z(g) = 6*g**2. Let c(r) = 5*n(r) - 3*z(r). Determine c(i(a)).\nAnswer: -147*a**2 - 126*a - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13193 - 7400. Suppose -60*q - b = -63*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.2 + -0.8. What is the second biggest value in -9, 2, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 826606247?\nAnswer: 826606247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -98, -213, -318, -407, -474, -513?\n\"Answer: a**3 - a**2 - 119*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2*y**2 + 819 - 412 + 8*y**4 - 408 + y**3 in the form f*y**2 + d*y**3 + z*y + n + p*y**4 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/118897 + 118901\/237794. Let g be 6\/(-10) - (1 - 1). What is the closest to p in -2, g, -1.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 14601, 14607, 14613?\n\"Answer: 6*q + 14595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 390\/123347 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-6)*(-2)\/5*-10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 + -3 + 2 + -4 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -37975019*h**4 + 9899427 wrt h?\nAnswer: -151900076*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i + 86. Let y be n(-14). Put 1, 0.18, y, 4 in decreasing order.\nAnswer: 4, y, 1, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2548, -4983, -7430, -9895, -12384, -14903, -17458?\nAnswer: -20055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-6))\/((4\/(-3))\/((-836)\/114)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2215188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*b + 35*b - 50 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 8*w**3 + w**2 - 2*w. Let g be (-8 - -24)*2\/4. Let h be (-12)\/(-18) - g\/3. Let i(n) = -n**3. Let b(c) = h*q(c) - 14*i(c). Find j, given that b(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -336620 divided by 1\nAnswer: -336620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 91373 and 342?\nAnswer: 31249566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 247036?\nAnswer: 2, 151, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/sqrt(726))\/sqrt(12) + (sqrt(18) + sqrt(108)\/sqrt(6)*6)\/sqrt(9).\nAnswer: 78*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i + 4. Let o be m(5). Let c be (-34)\/(-2) + 2 + o. What is the highest common factor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 102100710*j + 102100730*j - 204201444*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21 and 255?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 19 times -0.94?\nAnswer: -17.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1902 divided by -1902.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/(-10))\/((-2)\/12). Suppose 0*s = 4*m + 3*s - 20, 3*m + s - 10 = 0. Let f be (0\/m - 0\/(-2))\/3. Is f >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45297 is divided by 19751.\nAnswer: 5795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2854242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = -y - 3*x + 4, 5*x = 5*y + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of -4*v**5 - 47*v**4 - 204*v**3 - 378*v**2 - 216*v - 70. What is c in z(c) = 0?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3.88375 to 1 decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are -6483 and 293 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*a**2 - 2*a**2 - 3*a**2 + (a + 0*a + 0*a)*(3*a + 2*a - 3*a))*(1 + a**2 - 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 815*k - 809*k = -12. What is the third smallest value in -3, k, -33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 27 = -r - 0*y, 4*r = -2*y + 118. Let g be 7 + r\/(-4) + (-541)\/2. Let m = -113 - g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 46, 91, 138, 187, 238, 291?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**2 - 2*v**2 - 3*v**2)*(4*v - 4*v - 5*v**2) - 1 + v**4 + 1 + v**4 - 1 + 1 - v**2 - 7*v - 5*v**4 + 7*v.\nAnswer: 7*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/2)\/(((-420)\/14)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1a (base 13) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gstsggtggtttsggpgg. Give prob of picking 2 g.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 668, 687, 706, 725, 744, 763?\n\"Answer: 19*r + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 99654 and 66436.\nAnswer: 199308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 - -10. List the prime factors of (-4 + 21)\/(m\/(-8)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 33909.1225 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bemcaalm. What is prob of sequence ce?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/6)*f*f**(-7))**(-16)\/(f**(-3)\/f**2)**(6\/7) assuming f is positive.\nAnswer: f**(2050\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 + 2. Let j(b) = -2*b**2 + 5. Let w(h) = -2*j(h) + 5*p(h). Let q(i) = -62*i. What is w(q(r))?\nAnswer: -3844*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 81 = 5*g - 12, g = 4*i. Let h be 15\/g - (0 - 3) - 1. Which is the second biggest value? (a) -0.2 (b) h (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 2*t**3 + 11*t**2 - 5*t - 1. Let y(r) = -3*r**3 - 10*r**2 + 6*r + 1. Determine -4*v(g) - 3*y(g).\nAnswer: g**3 - 14*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14198 - -14201. Solve 3*s + 18 = k*z, 3*z - 24 = 2*s - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w**3 + 18*w**2 - 7 + 5 + 2.\nAnswer: -2*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-3) - 3*(-21 + ((-3680)\/(-144))\/(-23)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 + 17*d + 52. Let t be h(-12). Is 2\/1 - 6232\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12357.\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 14. Suppose -4*s + 5*s = -n. Let g(h) = h**2 + 12*h + 4. List the prime factors of g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}