diff --git "a/data/dm_maths/full_data/7966_11255.jsonl" "b/data/dm_maths/full_data/7966_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/7966_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m = -3.01 + 0.01. Which is bigger: m or -20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Suppose 0 = z - 3*a - 6 + 5, 5*z - h*a + 6 = 0. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4099491\/21 - (1\/1)\/(-7). Suppose -o = -c + y - 1895215, -5*c - 8499996 = 4*y. What is c rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:40 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 11*t + 613 - 181 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*d*j**3*o + 9*d*j**2*o + d*j + d + 8*j**3 + 276*o with respect to d.\nAnswer: 125*j**3*o + 9*j**2*o + j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -29. Let u(j) = j**3 - 5*j**2 - 4*j + 17. List the prime factors of u(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*z - 1\/2*z**2 - 76 = 0. Calculate z.\nAnswer: 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -1. Suppose -3*o = -0*o. Suppose -4*j - 30 + 10 = o. What is the third smallest value in b, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 386*q. Let o(s) = 6167*s. Let g(r) = 3*o(r) - 49*t(r). Let x(v) = -3*v**2. What is g(x(c))?\nAnswer: 1239*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 508759774 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: Let d be (-14)\/(-21) - (-35)\/(-3). Calculate the common denominator of -20\/9 and 0 - 28\/d - (-1 - -1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - ((-14 - 0) + (3 - 129 - -57))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*d + 227 = -1496, 0 = -5*y - 3*d + 8622. What are the prime factors of y?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6f01 - fc?\nAnswer: -e6ffd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -38.36686901.\nAnswer: -37.96686901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/248*-1)\/(((-25)\/30)\/((-375)\/(-675)))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5\/2. Which is the nearest to -1\/2? (a) -1\/5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 26 + -52 + 30 + 11.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 9*k - 55. Let d = 225 + -232. Let t be y(d). Which is smaller: -40 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a factor of 48790872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m - 6. Let t = 28 + -26. Let z be (-10 + 1)*t\/6. Sort 21, z, m in descending order.\nAnswer: 21, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31073725.\nAnswer: 5, 127, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -3. Let u(t) = 3*t**3 + 6*t**2 + 3*t - 4. Let j(y) = -4*y**3 - 7*y**2 - 4*y + 5. Give g*j(w) - 5*u(w).\nAnswer: w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 7 + 7)*(-3 - 2 + 2)*((-4 + 1 + 2)*(4 + 1 - 4) + 0 + 4 - 5 + 9 + 10 - 10 + 3 + 5 - 12) in the form k + i*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/385*(-28)\/(-5))\/(46\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13132311413 (base 5) in base 9?\nAnswer: -33580637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 2, -4 in decreasing order.\nAnswer: 3, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1115 - -1119. Solve 2*y - c*t + 2*t - 14 = 0, t = 3*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 5}. Give prob of sequence fo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868085631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 5*o + 5. Let v be m(5). Suppose 0 = -c - p - 3 + 8, -3*p = -6. Let f(u) = 3 - 5*u - u**c + 3 + 3*u**2 + 0*u**3 + 3*u**2. Determine f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1\/6*u**4 + 0*u**3 - 2*u**2 + 0 - u. Differentiate r(k) with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1976\nAnswer: -1\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {a: 1, d: 1, y: 8, z: 2, f: 8}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2))\/g)**(-20)\/((g**3\/g*g*g*g)\/(g*g\/g**0)) assuming g is positive.\nAnswer: g**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2362*s**3 + 2*s**2 - s + 1. Calculate k(-1).\nAnswer: -2358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-60426)\/2322 + 26)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1)\/3 + (24\/16*16 - -19)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10 + 2)*(-12 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 3*q**2 + 135 - 135. Let u(r) = -6*r**2. What is w(u(z))?\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8575.281 minutes?\nAnswer: 514516860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 - 88*p**2 = 0. What is p?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 17*s = -15. Let i be (-15)\/(-84) - s\/12. Which is the nearest to -1? (a) i (b) 1\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 13 = -5*s + 2*h, -5*h - 5 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1 + 5 - 2*x + 0*x + x**3 + 8*x**2 - 3*x**2. What is the lowest common multiple of q(-5) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.1 + -11. Let y = 145\/3 - 49. What is the nearest to y in -3\/2, -1\/7, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101101?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/21 - ((-270)\/(-42) - 6). Sort 0, p, -3, -5 in ascending order.\nAnswer: -5, -3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 + 4*g - 92. Let l(i) = 7*i**2 + 5*i - 93. Give 5*c(r) - 4*l(r).\nAnswer: 2*r**2 - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**4\/5 + 367*j**3\/5 - 5972*j**2\/5 + 30932*j\/5 - 8160 = 0 for j.\nAnswer: 2, 6, 136\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -172a2 (base 13) in base 6?\nAnswer: -541334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 99 - 19. Let z be -1 + -1 - 1*-4. Suppose -k + 3*k - 86 = -5*l, 3*l - 54 = -z*k. Calculate the smallest common multiple of l and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/3 + -6. Suppose 10 = 5*p - 10. Suppose p*r - 11 = 1. Which is the nearest to 1? (a) 1 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/724 and -59\/40?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43771090 and 20570?\nAnswer: 481481990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22007 and 1770?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*x**2 - 2312\/3 - 2\/3*x**4 - 76\/3*x**3 - 2584\/3*x = 0. What is x?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -1 (c) 169 (d) 2\/9 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = k + 8, -3*k + 3*o + 66 = 0. Let t = k - 15. Determine b, given that 0*b + 2\/3*b**3 + 2\/3*b**t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.2 (c) 1 (d) -2.62 (e) 2\/13 (f) -1.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1. Let o(j) = 2*j**2 - 3. Suppose 35 + 65 = 5*y. Suppose -4*q - 16 + y = 0. Calculate q*o(z) - 3*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (7 - (-2 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 494639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236367692\/102834)\/121 + (-20 - -1).\nAnswer: -1\/261","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l + 13. Let o(x) be the second derivative of 7\/90*x**5 + 4\/135*x**6 + 1\/27*x**4 + 0*x**2 + 2*x + 0 - 1\/27*x**l. Factor o(y).\nAnswer: 2*y*(y + 1)**2*(4*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.245101 nanograms to micrograms.\nAnswer: 0.009245101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 152.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14134.\nAnswer: 2, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 367*g**2 + 1414*g - 117196. What is z(364)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145603 - -145602. Let k be 3\/(-12) - 213\/(-4). Sort 2, y, k in increasing order.\nAnswer: y, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012085 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -115371 < -115371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1821107 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*k - 28*k - 27440 = 158*k + 441*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 47*f = -44*f - 336, 3*h - 3*f - 336 = 0. Suppose -63*t = -56*t - h. Calculate the remainder when 48 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**4 + 2*w**3 + w**2 - 14*w. Let v(m) = -37*m**4 + 9*m**3 + 4*m**2 - 55*m. Let o(x) = 9*h(x) - 2*v(x). Find the third derivative of o(a) wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -2*o + 2, 1 = o + q. Let a = 2 + o. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -3309\nAnswer: 7\/3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 379984 and 34544.\nAnswer: 379984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 14087.35m?\nAnswer: 14.08735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(-4)\/10. Let g = 0.88 + -0.8. Let q = 0.08 - g. Which is the nearest to q? (a) -6\/7 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102413 and 9567989?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4 + 329*f + 0 + 1 - 7*f**3 + 5*f**2 - 332*f. Let q(n) = -6*n**3 + 6*n**2 - 4*n + 6. What is -6*c(j) + 5*q(j)?\nAnswer: 12*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29879036701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = -2*t, 2 + 13 = -5*j. Sort t, 22, 1 in descending order.\nAnswer: 22, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {u: 2, q: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -166*u**3\/15 + 17*u**2 - 4*u\/5 + 452. Solve c(x) = 0 for x.\nAnswer: 2\/83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.5, 12, 7.285, -0.08?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 210522?\nAnswer: 4842006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from {k: 9, e: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31763 and -4?\nAnswer: 31759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q + 0 + 1 - 69*q - 3 in the form y*q + t and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7761, -15506, -23235, -30948, -38645, -46326, -53991?\n\"Answer: 8*d**2 - 7769*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**8\/2016 - 9*k**7\/140 + 77*k**6\/720 + 241*k**5\/360 - 13*k**4\/24 - 40*k**3\/9 - 4866*k**2. Suppose d(u) = 0. Calculate u.\nAnswer: -1, 1, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110482, 110484, 110482, 110476, 110466, 110452?\nAnswer: 110434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*f + 37. Calculate the smallest common multiple of 14 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-3) + (-22)\/(-33))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 divided by -102?\nAnswer: -1000\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-7 + 2 + 1). Let p be (14875\/34)\/(-35) - -14. Find h such that -b*h**2 + p - 1\/4*h = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**4 + 4*g**2. Let t(r) = 3*r**4 - 5*r**2. Let n be ((-9)\/6)\/((-3)\/6). Let k(f) = n*t(f) + 4*l(f). What is the third derivative of k(j) wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -2.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:46 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3 - (-633)\/(-1). Let w = u + 644. Solve -4*f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5577.\nAnswer: -7\/5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 5. Let l be i(9). Let r(s) = -4*s + 10*s**2 + l*s + 2*s**2. Let c(u) = -2*u. What is r(c(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Suppose x + 3*y = -0*x + 13, 2*y - 8 = 0. Which is the nearest to x? (a) -4\/9 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-687)\/(-21) - ((-88)\/132)\/((-35)\/(-15))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 - 11. Let p = -0.045 + 0.145. What is the closest to 0.1 in p, -2\/15, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6*5\/2. Let t be (-11)\/((-110)\/100) + -8. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z + 6. Let a be (0\/2)\/((-4)\/((-12)\/6)). Let s be q(a). Solve 9 = -s*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.028 + -2.372. Let w be (2\/15)\/((-3)\/(-30)). Sort -1\/6, w, i.\nAnswer: i, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*u, 4 = -4*u + s - 5*s. Let b be u + 2 - 7*-49. Suppose -6*j + 3*x + b = -j, -4*j - x + 260 = 0. What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-1.2\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70961696 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + 3) - (12 + -5 + -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163? (a) -5 (b) 3 (c) 96 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let v(z) = 81*z**2 - 1. Calculate i(v(f)).\nAnswer: -81*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25001, 51187, 77363, 103523, 129661, 155771, 181847, 207883?\n\"Answer: -m**3 + m**2 + 26190*m - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262031*o**5 - 234439*o?\nAnswer: -5240620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {h: 5, o: 1, z: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33325 - 0?\nAnswer: -33325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(399)\/(sqrt(21)\/sqrt(3)))\/sqrt(3) - (sqrt(95) - (sqrt(95) + -1*sqrt(95)*-2))\/sqrt(5)) + -4 + (1 + sqrt(1539) - (0 + sqrt(475)))*3.\nAnswer: -1 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 7*q - 5. Suppose -5*p + 32 = -p. Let v be i(p). Let j(z) = 115*z + 2. Is j(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29483 is divided by 2104?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52245738 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -13.16, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12409797 less than -1.6?\nAnswer: 12409795.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 2)*(2*u**2 + 4*u**2 - 3*u**2).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 70*p - 441. Calculate the remainder when i(27) is divided by 217.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2912*t + 44994. What is z(16)?\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 682404 divided by -5548\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 47 + 128*f - 96*f - 59*f. List the prime factors of a(-12).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4388 - 8802 + 4327)*(-w - 3*w + 3*w) + 0*w + 3*w - 5*w in the form g*w + h and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(-13)\/(3315\/(-34))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -939916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358614 and 627966?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1865167 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21972462346 less than -18?\nAnswer: -21972462364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -0.3314, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (8 - 10) - -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -99. Let z = -32 + f. Which is the biggest value? (a) z (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/13)*((q\/q**(-6\/11))\/q)\/q*q)**(2\/43)\/(((q*q**(-3))\/q*q\/q**(-5))\/(q\/q**1*q*q*q**(-5))) assuming q is positive.\nAnswer: q**(-36408\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1018805 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p + 160. Let r be z(-9). Let t(y) = 2*y**2 - 13*y + 19. What are the prime factors of t(r)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80) + 1).\nAnswer: 6 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 13*r + 4. Let h be g(4). Let q(l) = -l**3 + 6. Let j be q(h). Find the third derivative of -6*u - 8*u**j + 5*u + 11*u**2 + u wrt u.\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -12155397?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -1 - (-375)\/(-5). Let o = y + 115. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 10*g**2 + 227*g + 2843. What is z(-11)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Let q = 0.2 - 0.4. Let r = 0 + q. What is the smallest value in h, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 9. Suppose -4*f - 2*n - 48 = 2*n, p*f - 2*n + 36 = 0. Let t = f - -11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7693, 15388, 23083, 30778, 38473, 46168?\n\"Answer: 7695*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11040 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -28\/111 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d*m**2 + 39217*d + 2025193*m**4 + 137 wrt m?\nAnswer: 6*d*m + 8100772*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqe when three letters picked without replacement from {q: 5, g: 6, t: 1, e: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**4 + j**3 + j. Let z(i) = -12*i**4 + 3*i**3 + 6*i. Let d(f) = -6*n(f) + 2*z(f). Find the second derivative of d(k) wrt k.\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 7*c - 5. Let q(i) = -3*i**3 + 15*i**2 + i - 5. Let a be q(5). Suppose -5*u - 4*t - 38 = a, -3*t - 7 = -1. What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273*y - 529*y + 329*y to g + r*y and give r.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68)*1)**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/8)\/(28\/8))\/(5\/7)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 770 and 77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/5 + 3777*y**2 + 4512556*y\/5 = 0.\nAnswer: -236, 0, 19121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 502, 493, 486, 487, 502, 537?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g. Let n be t(5). Let s = n + -17. Let w = s + -9. Solve w*x - 4 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*o**2 + 251*o + 3*o**5 - 181*o + 11*o**2 + (-3*o**5 + 0*o**5 + 0*o**5)*(1 + 1 - 4).\nAnswer: 9*o**5 + 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*p + 2585*m**2 - 70160*m*p + 26 wrt p?\nAnswer: 2*m**2 - 70160*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 3. Suppose 2*n = -4*q - 146, 5*n + 323 = -0*n + 4*q. Let g = n + 65. Sort y, 5, g in decreasing order.\nAnswer: 5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1698411 by -6.\nAnswer: 566137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 11720*z**4 - 6972665*z**3 - 122848490*z**2 - 651093920*z - 1082055200 = 0. What is z?\nAnswer: -1163, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/384 and 59\/(6490\/60) + 5937\/(-5742).\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-5)*(-9 + 4). Calculate the common denominator of g\/(-54)*(-6)\/(-4) and 1\/((-99)\/6)*6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 951473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -324. Let b be 3823\/(-9) - (-6)\/(-27). Let c = l - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 5*w + 5. Let g(z) be the first derivative of z**3\/3 - z**2\/2 + z + 625. Determine 10*g(j) - 2*u(j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 + 3 = -i, -3*i + d + 6 = 0. Suppose 5*j + 11453 = -0*o - i*o, -3*j = 4*o + 6869. Is j\/(-4)*((-2 - 6) + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 1. Suppose 0 = 2*i - 24. Suppose -2*u + 54 = -i. Calculate the remainder when u is divided by y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.1621 millilitres in litres?\nAnswer: 0.1611621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*m + 30. Let 4*j**m - 59 - j + 55 + j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/67033?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0217 * -22028\nAnswer: 478.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/5 or -2373.1?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-312))\/(68\/(-680)) - 1344\/(-672)?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 126134 (base 7) to base 15\nAnswer: 707b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -q + 3, -q + 2*q - 3 = -4*b. Suppose 4*m + b - 12 = 0, -25 = -2*f + 5*m. Suppose 4*k - f = d, -2*k + k + 5*d = -5. Solve 6*s = k*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**2 - 14*b**2 + 5*b**2)*(b + 4*b + 0*b).\nAnswer: -105*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8544.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 33\/2*d**2 - 7 - 2\/3*d**3 - 5*d. Calculate the remainder when 195 is divided by z(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 4*u**2 + 1. Let w be k(-4). Let t(j) = -j**3 - 5*j**2 - 4*j. Let s be t(-4). Is 13 a factor of 0\/w - (s - 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4066 - -2380181.02?\nAnswer: 2384247.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/7)*a\/a**1)\/(a*a*a**(1\/9)*a*a*a**(-3\/5)\/a) assuming a is positive.\nAnswer: a**(-431\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(2\/120*-2). Solve 53*b - 57*b = h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 109*y**2 + 966*y - 85. Suppose 5*r = -2*m + 60, -4*r + 25 = -0*r - 3*m. Calculate the remainder when c(-9) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256373 to the power of 1\/2, to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18027636 divided by -273146?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23028.5250125 + 868?\nAnswer: -22160.5250125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192603 is divided by 192567?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -5, 3, -34, -1\/6, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (76\/12 + -1)\/(4\/336)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4\/211 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423289562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k + 12. Determine a(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(171) + (sqrt(171)*1 - sqrt(171) - sqrt(171))))\/sqrt(9) + sqrt(19) + -1 + sqrt(171) + sqrt(171)\/(sqrt(9)*-1))**2*1.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99722 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.51 - 0.2.\nAnswer: -58.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.23 in 3, -1\/3, -78\/5, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 2*f - 13, -f = -4*j + 11. Let q be 3 + -2 + 3 + 0. Suppose -q*p + 2*s + 20 = -44, -j*s - 6 = -p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*x, 5*x + 27 = -3*i - x + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h + 199*h + 70 = -d - 767, 5*h - 3 = -d - 2*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 178451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3876 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:21 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15 + 0 - 6*r + 2*r - 5*r. Let u(c) = 4*c + 7. Calculate -13*u(x) - 6*w(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91718412 and 24?\nAnswer: 183436824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*((-3)\/2 + 3). Suppose j - 15 = -g. What is the greatest common factor of 35 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3406 and 32488?\nAnswer: 422344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o + 0*o - 4*o - 1 - o**2. Let x = 1 + -1. What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l. Let c = 0 + l. Let p = -5\/3 + 44\/21. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -7. Let m = -7 - z. What are the prime factors of (11\/(-11))\/((-1)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 - 120. Suppose -x - 15730 = -s*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 740, 1276, 2106, 3224, 4624?\n\"Answer: -t**3 + 153*t**2 + 84*t + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from iqkzkkkkkkjfkjkzjkk?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 41. What is x(21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 216412.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -1\/5 (b) -2\/31 (c) 2\/1059 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -26. Let p be 4 + -1 + 88\/d. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000021409 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -952*r - 47. Let y(f) = -1903*f - 72. Let z(i) = 5*q(i) - 2*y(i). Find the first derivative of z(a) wrt a.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/18)\/((-130)\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - -73) + -136 + (38 - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 6*y + 19. Let z(l) = l**2 - l + 5. Give -j(m) + 6*z(m).\nAnswer: 9*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Let z be (-210)\/56 - (-2)\/(-8). Let v be (-1 + 1)*(-2)\/z. Solve v = -2*m - 10, 0*i - 5*i + w*m + 25 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 144, 293, 502, 771, 1100?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1330 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from ninsxnnnniiisxnix.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*z**3 - 552*z**2 + 2493*z + 1560.\nAnswer: 3*(z - 13)*(z - 8)*(9*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 1}. What is prob of sequence yc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 l, and 1 t when four letters picked without replacement from jttljjlllllllllz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51912*f - 57071*f - 294063 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekgg when four letters picked without replacement from {w: 5, k: 1, e: 1, q: 5, g: 3}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1533)\/4380*(-60)\/56.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzo when three letters picked without replacement from {o: 2, v: 2, z: 8, a: 1, t: 3, j: 1}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1763)\/(-8) - (-13 + 15)) + 3. Let i = z + -221. Let j be (-3)\/(-2)*(-2)\/(-9). What is the closest to 2\/7 in i, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -13 + 6 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 28. Determine a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((16\/4)\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 22. Let r be a(23). Let f(m) = 7*m**2 + 4*m**2 + r - 10*m**2. Let v be 7 + 2\/(-2) - 1. Let w(q) = 7*q**2 + q + 5. What is v*f(p) - w(p)?\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 + 1\/12*o**4 - 6*o - 1\/12*o**5 + 2\/3*o**2 + 2\/3*o**3. Suppose y(x) = 0. What is x?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 3*u**2 + 104*u - 11. List the prime factors of h(-20).\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44556 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6165900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9702794?\nAnswer: 2, 4851397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006602579.\nAnswer: 39229, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -18 + 4*h - 14*h - h**2 + 6. Let l be r(-8). Which is smaller: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1243, 4683, 10327, 18175, 28227?\n\"Answer: 1102*o**2 + 134*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (-6*(-1 + sqrt(108)) - sqrt(108)) - (sqrt(108)*4 + -2) - ((-1 + sqrt(108))**2 + 2 + -3)*1.\nAnswer: -100 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -5*b, 2*b = 3*x - 206. Suppose 0 = k - 0*k - 17. What is the highest common factor of k and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7995 - 2926*j - 7995)*((j + 2*j - 4*j)*(5 - 3 - 1) + 3*j - 3*j + 2*j).\nAnswer: -2926*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 = -4*i, -2*i + 12 - 8 = 0. Which is the second biggest value? (a) -4 (b) z (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 467*k + 3723. What are the prime factors of u(18)?\nAnswer: 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2)*(-20)\/(-3). Suppose p = -k + 5*k. Let q(z) = -2*z**2 - 6*z - 5. Let r(g) = -2*g**2 - 7*g - 6. Determine k*r(x) - 6*q(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15580 <= -155793\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 7. Let g be h(5). Let j be -3*(0 + (-3)\/g). Differentiate -4 + 1 + 1 - s**j wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hkkhhhkkkhhkhk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120033159, -240066306, -360099455, -480132606, -600165759?\nAnswer: -720198914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 3.07?\nAnswer: -6.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (12\/(-4) - 6). Suppose c = -c + u. Suppose -2*j + 0*j = 5*f - 43, -11 = -j + f. What is the lowest common multiple of c and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**2*j**2*s**2 + 2*a**2*j*s**2 + 254450*a**2*s**3 + 12*a*j**2*s**3 - 8*a*j**2*s + 99235*j wrt s?\nAnswer: 1526700*a**2 + 72*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**8\/3360 - s**7\/2520 + s**4\/4 + 2*s. Let b(p) be the third derivative of v(p). What is the third derivative of b(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w. Let y(q) = -7*q + 142. Let d be y(20). Let m(t) = -10*t**2 - 14*t**2 + 41*t**d - 10*t**2. Calculate f(m(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 32. Solve 5*v = 1 + m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 3*s - k + 593, 2*k = 3*s + 403. Let f be (-2)\/1 - s\/15. Suppose 15 = -2*z + f. Which is the second smallest value? (a) 2 (b) -21 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 206, 311?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(((-20)\/24)\/(680\/(-17)))\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619445245?\nAnswer: 5, 11, 17, 157457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*-5 + 18. Suppose -858 = 18*s - u*s. List the prime factors of s.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 130?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 + 23*r**2\/2 + r\/2 - 23\/2.\nAnswer: -(r - 23)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in 0, -10, -1, -2\/19, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9726 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 874120 less than 1.392394?\nAnswer: -874118.607606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3068 = 1013*v - 1009*v. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 divided by 5?\nAnswer: -241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25967 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49\/2 in 5, -3, -9, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124592 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -15) + -4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 2*w)*(-5*w - 1 + 2 + 0*w).\nAnswer: -10*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 10) to base 14\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7481*x - 284279. What is r(-38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62356 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85150815.\nAnswer: 3, 5, 29, 61, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6934064 is divided by 4397.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03858261 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -2\/13 (c) 0.04 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + -24 + (-70)\/(-7). Is s less than 1\/192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let k = -1 - 2. Let u = -1 - k. Let n(t) = u*t + 1 - 1. Calculate n(j(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i - 1\/3*i**3 - i**2 + 1. Let j be h(-1). Solve 4*s - 5*s + 1 = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 15. Let r be o(-11). Suppose -3*v - 18 = -4*j + 18, r*j = 5*v + 28. What is the third derivative of -56*d**3 + 58*d**3 - j*d**2 + 2*d**2 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(2*d**2 + d**2 - d**2 - 2*d**2 - 4*d**2 + 4*d**2 + 2*d**2 - 7*d**2 + 3*d**2 + (3 - 2 + 1)*(-d**2 + 2*d - 2*d)).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2 - 172601748*n - 2482613617721292 = 0?\nAnswer: -28766958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*o + 6*o = 917752, -5*p + 2*o = -1147193. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + d**4 + d - 2*d - 2*d**2 + 23 to the form z*d + i + l*d**2 + g*d**4 + m*d**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 348. Let n be 2 - (-1 - l\/(-2)). Suppose 3*q = -t + n, -q + 5*t + 5 = -10. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*q = 33, -11 = -m - 3*q + 4*q. Calculate the smallest common multiple of 44 and 226\/m + (-12)\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 8*g - 5. Let j be w(-9). Suppose 10*l = j*l + 216. Suppose l = z - 3*s, 2*z - 2*s + 104 = 4*z. Is z < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*1\/(-1)*-1. Suppose 3*f = -4*v - b + 35, -4*v + 28 = 2*f. Suppose -7 = -v*g + 38. Solve -8*s = -3*s - 3*d - 20, d + g = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52430825 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 8, u: 5}. What is prob of picking 1 z and 1 u?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -3 + 0)*-1. Suppose -12 = -x + 4*x + 3*m, 3*m = -5*x - 14. Let h be 20\/12*x\/5. What is the third biggest value in r, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2327717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let u(i) = -i**2 + 6. Give u(k(p)).\nAnswer: -p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/30266967 and -68\/8121.\nAnswer: 30266967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 112 = 0, 2*m + 7*t = 443 - 241 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/6*(-81)\/(-18). Let s be z\/15 + (-8)\/(-5). Let m be (-407)\/275*-5 + -8. What is the second biggest value in 5, s, -0.2, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let v = 34 - 13. Let q be (v\/14)\/(3\/32). Suppose -5*n + q = -9*n. Calculate p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)\/(i**2*i*i))\/((i*i**0*i)\/i)**(1\/28) assuming i is positive.\nAnswer: i**(-169\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = b + 4*b + 5*v, -2*b - 5*v + 23 = 0. Suppose b*z - 311 = 73. What is z rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.0000033 - 56. What is s rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35778 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3305 and -131\/60.\nAnswer: 39660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 508131 and 161802?\nAnswer: 90447318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4128 = -7*s - 723. List the prime factors of 1\/(s\/(-173) + (-2 - 2)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k, -14 = -x - 70*k + 72*k. What is the smallest common multiple of 455 and x?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(14) + 4*(sqrt(14)*-1 + sqrt(14)) - sqrt(14)))\/(-2*sqrt(847)).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(2 + sqrt(1573)).\nAnswer: 10 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538194 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 0 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 714 - 714 + 46*m + (-m - m + 3*m)*(-2 - 1 + 4) in the form g*m + o and give g.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 + 3*t - 7. What is a(-4)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 213\/9)\/3. Let c = z - -461\/63. What is the second biggest value in -4, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(-5\/2)\/(o**(-1))**(1\/28) assuming o is positive.\nAnswer: o**(143\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**3 - f**2 + 2*f + 53. Let v(m) = m**2 + m + 1. Let y(i) = a(i) - 2*v(i). Differentiate y(h) with respect to h.\nAnswer: 15*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 4 in increasing order.\nAnswer: -15, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 - -160. Let r(z) = 4*z + 1. Calculate r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14986, -29980, -44976, -59974?\n\"Answer: -r**2 - 14991*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 431027\/40568 + 1\/5071. Let j = 1\/27 - 263\/3456. Let k = -6213\/128 - j. Calculate the common denominator of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(33\/(-154)*7*(-1)\/2)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhr when four letters picked without replacement from rrhhrrrrrrrrrrrrhr?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*l - 35 = 0, -38*c + 39*c + 3*l = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -44949000 to the nearest one hundred thousand.\nAnswer: -44900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 47*h**2 - 47*h + 2202. What is u(47)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3 + 13. Sort -1, -15, h in decreasing order.\nAnswer: h, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**3 + 4*q**4 - 50*q**3 + 2296*q**2 + 4*q**4 + 26*q**3 - 56*q**3 wrt q.\nAnswer: 192*q - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = -15*r + 487. Let v(d) be the third derivative of -11*d**4\/24 + d**3 + 3*d**2. What is the tens digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*p = -7 + 1, 4*c - 6 = 2*p. Suppose -s + c*k + 32 = -2, -3*k + 136 = 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1516\/11, -7, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -53*j**2. Let l(z) = 2*z + 21. Let v(m) = 2*m + 14. Let h(x) = -4*l(x) + 6*v(x). Determine h(p(q)).\nAnswer: -212*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 1, m: 4, l: 1}. What is prob of picking 1 m, 1 q, and 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-90))\/(1\/(-9)). Suppose y*o - 16 = -2*o. Suppose -4*d = -o*i + 2*i + 560, -1075 = -4*i - d. Calculate the greatest common divisor of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 19*y**3 + 171*y**2 - 61*y - 538. Calculate x(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14405034?\nAnswer: 2, 3, 7, 197, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 != -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**45\/(c\/(c\/(c\/(c*c\/(c**(-1)*c)))))**19)\/(((c*(c*c**(-4))\/c*c)\/c**(-3\/7))\/(c**7\/(c*c*c**5))) assuming c is positive.\nAnswer: c**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24450 and 2207835.\nAnswer: 22078350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f + 6 + 0*f**3 - 8*f + 3*f**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4950\/(-44) - -120 - 2*5\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/10)\/((-5)\/(-40)). Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 12\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*x + 2852*x**2 - 2857*x**2 + 686*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 15*k + 12. Suppose -3*r = -r - 16. Let z be y(r). Solve -a + 5*a = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -4.8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3.2, -274, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 2*l**2 - 2*l. Let d be v(2). Let o = 894 - 880. Is 8\/d*-3 + o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 41 - 22*m**2 - 48.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 48, 3\/5, 2\/13, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a*a\/a**(-1\/12))\/a*a))**38)**(-1\/20))**(-10\/7) assuming a is positive.\nAnswer: a**(-475\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4)*y**(-1\/3)*y**3\/(y*y**(-3\/7)*y) assuming y is positive.\nAnswer: y**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 + -5. Let u = 0.1 - -7.9. Let r = 5 - u. Sort -0.2, r, s.\nAnswer: r, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.13 - -0.13. Let o = -4 + 2. Let n = 37\/15 + -14\/5. Which is the second biggest value? (a) r (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1. Let r(i) = i**2 - 18*i - 1. What is -4*b(s) + r(s)?\nAnswer: s**2 - 18*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-178)\/(-1335) - 1\/(-30). Let a = 11 + -8. What is the nearest to -1 in a, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 42\/5)\/(1\/(-120)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 1. Let n(p) = -6*p**2 - 246*p - 5046. Let q(j) = 3*k(j) - n(j). Find s such that q(s) = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -4 + -3 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 5, 2, 0.4, 0.97?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l - 3*k, k + 20 = -3*k. What is the third biggest value in l, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(-2\/3)*a)\/a)**(-7)\/((a*a**4)\/a**(-6)))**14 assuming a is positive.\nAnswer: a**(-1148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/93)\/(x\/(x*(x*x**(-10\/9))\/x)))\/(((x*x\/((x**(3\/5)\/x)\/x*x*x))\/x)\/x**(-6)))**(-31) assuming x is positive.\nAnswer: x**(10448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + ((-4)\/(-10))\/((-30)\/(-300)) and 47?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 = -s - 2*s, -5*d + 5*s = -25. What is the third derivative of -39*w**5 - 2*w**2 - d*w**2 - 4*w**2 + 3*w**2 wrt w?\nAnswer: -2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694812786 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0905481 to three dps.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1159235 and -71\/1617?\nAnswer: 24343935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from {v: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.97 - -0.03. What is the closest to 1\/4 in 1\/5, 1, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130293073.\nAnswer: 1013, 128621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 2*i + 2. Let n(a) = 10*a**2 - 7*a - 7. Let v be -14*(-2 + (-12)\/(-8)). Suppose 4*x - 5 = -3*c, -4*c = c + 5. Calculate v*u(b) + x*n(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -3, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7180375 is divided by 359013.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 3*c, 4*y - c - 6 = -3*c. Suppose y*i + v = 10, -4*v = -6 - 2. Find the third derivative of 20*d**i - 6*d**5 - 2*d**5 - 46*d**2 wrt d.\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8 + 4. Suppose -3*c = -2*c - 1, -3*c = -x*h + 9. Suppose h*b - 130 = 296. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.144 - -2.154. Round r to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kks when three letters picked without replacement from {f: 1, s: 1, g: 1, q: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67463 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*m + 6 = 0, -1 = -3*w - 3*m + 2. Suppose -3*d - w = -2*i, 5*i - 1 = -d - 2. Let l be 1\/7*3*1. Which is the nearest to 0? (a) i (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-5405 - 78*f**4 + 5405).\nAnswer: 156*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 6*j + 4. Let w(y) = -y**3 + 8*y**2 + 11*y - 82. Calculate the remainder when f(-4) is divided by w(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1\/(-2 + 3). Suppose 0 = z*x + x - 6. Solve -x*u - 16 = -6*u - 2*d, 0 = -4*u + 4*d + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031361927 to 5 decimal places.\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.209 - -0.091. Suppose 0 = w - 3, 2*m = 4*m + 5*w - 27. Let b be (4\/6)\/(20\/m - 0). Sort l, -2, b in decreasing order.\nAnswer: l, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -56*y + 61*y, -5*y = c - 64 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 69, -33, -9, -4 in ascending order.\nAnswer: -68, -33, -9, -4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*f**4 + 0 - 1\/2*f**5 + 9\/2*f**2 + 0*f - 15\/2*f**3.\nAnswer: -f**2*(f - 3)**2*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/2, 16\/3, 5, -0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h + 2*h - 6*h + 6*h**3 wrt h?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -286 = 0.2316673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 5*j + 1, j + 2 = 2*t. Suppose -z + u = -3, -4*u - t = -5*z + 19. Suppose z*w - 3*w = 40. Solve -h - w = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219249359 rounded to the nearest 10000?\nAnswer: -219250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 8081041*t**3 - 102286*t + 56.\nAnswer: -24*t**2 + 48486246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 9934 = 2*k + 9854, -2*w = -3*k + 112 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 4*z + 13. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3146597 - -48.\nAnswer: -3146549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*t = -14, 4 = -t + 2*t. Suppose -20 = 2*w + p, -4*w - 28 - 16 = d*p. Let m(x) = 8*x**2 - 28*x + 2. Let s be m(3). Is s less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.3 and -35.2?\nAnswer: -855.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5627160138241087\/2173753286099934 + 2\/43972838251. Let l = 210339418\/2247 + -93609. Let x = l + i. Calculate the common denominator of 33\/4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Let l = t + -5.99. Let i = l + 2.99. What is the nearest to -1 in i, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 + 60. Let c = p + 1812\/5. Let s = -19\/5 + c. Is 0 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 13 + 4)*(3*c**3 - 2*c**4 - 3*c**3) + (4*c**2 + 3*c - 3*c)*(5*c**2 - 2*c**2 - c**2) as n + v*c**3 + z*c + q*c**4 + h*c**2 and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-15)\/6 + 2). Suppose 0*w + 5*w - 525 = a. Suppose -46*p = -21*p - 13*p - 504. What is the greatest common factor of w and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, 0, -85?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118837\/25707 + 13\/779. Let p = 392\/429 + q. Find the common denominator of p and (-143)\/6 - 6\/(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 90*a - 86*a - 26.\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 54 = -5*p, 4*g + 5 = 2*p - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5*(-4)\/(60\/2937)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 67*c + 1193. Determine s(42).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82 and 80.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 21 = -5*y. Let i = 8 - y. Suppose n - 6 = -i. Solve f - 3*h - 8 = -1, h + n = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/468 and 17.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-24)\/t*t**(3\/8)*t*t**(-6)*t**(-17)\/t assuming t is positive.\nAnswer: t**(-381\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3718 and 7180134.\nAnswer: 78981474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-60)*(-19)\/(8778\/56).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-5)\/3)\/((-20)\/(-24))*54105\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.4 + -9.6. Which is the second smallest value? (a) w (b) -1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tettttteet. Give prob of picking 2 e and 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-607)\/7)\/(1 - 0). Let g = j + 87. Let z = 0.1 - 0.1. What is the smallest value in 2, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 21*s - 11. Let n be w(-8). Suppose -1494 = j + 1383. Let g be 2\/(-11) - (0 - j\/(-33)). Calculate the highest common divisor of g and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x**3 + 73*x**3 - 115*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + y**4 + y**4 + (-1 + 1 + 3*y**3)*(0 + 2*y + 0) - 4*y**3 - 3*y**4 + 4*y**3 + 2 - 99*y**4 - 85*y**4 + 138*y**4.\nAnswer: -41*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s**2 + 2*s)*(s - s + 2*s) + 5*s**3 - 4*s**3 + 2*s**3 + 6*s**3 - 5*s**3 - 7*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 3288 - t - 3293 - 4*t. Let j(s) = 2*s + 12. Let u(c) = -5*j(c) - 12*z(c). Let i(p) = -5*p**2 + p**2 + p**2. What is i(u(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 + 5*y**4\/12 - 5*y**3\/6 - 3*y**2 - y. Let n be q(-5). List the prime factors of n - (-4 - -2) - 1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 + -0.07?\nAnswer: 5.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 5. Let d be z(4). Let q be (-4)\/d*(-36)\/(-12). Is 113\/(-4*1\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1229739222 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -40 + 153*p - 77\/2*p**2. Find the first derivative of t(m) wrt m.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 9*t**2 + t + 17. What is the remainder when 50 is divided by x(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2 + 5*l. Let w(f) = -7*f**2 - 2. Give o(t) + w(t).\nAnswer: 8*t**2 + 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 100 = -0*j + 4*k, -3*j = -5*k + 279. Let x = j - -156. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = c - 3*n, -3*n + 5*n + 34 = c. Calculate the remainder when c is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 at least 701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(2\/3))\/t)\/t*t*t**(-12) assuming t is positive.\nAnswer: t**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 11. Let n(t) = t + 6. Let v(y) = 11*n(y) - 6*w(y). Let a(z) = -1. Let c(l) = 5*l - 15. Let g(r) = 15*a(r) - c(r). What is v(g(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 627.8 + -628. What is the closest to 0.1 in 0.5, 6, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-seven fifths of a millennium?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -334.\nAnswer: 3\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 29882239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(-246*k**3 + 447*k**3 + 125*k**3).\nAnswer: 326*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4628247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 + 11*w**2 + 4*w + 9. Is r(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 430, 431, 432, 433?\n\"Answer: u + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n**3 + 12*n**2 + 0*n**4 - 1\/60*n**5 + 0 + 0*n. Factor a(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 132767*c + c**2 + 132767*c - 111.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7\/3))\/j**(-20)*j**(3\/2)*j**(12\/5))**(7\/6) assuming j is positive.\nAnswer: j**(5719\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = t + 5*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -72. Suppose 4*d + 0*d + a*j - 1622 = 0, -4*j = -2*d + 826. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - -6*(1 + sqrt(612)))*-4 + ((sqrt(187) + 2*sqrt(187))*1 - sqrt(187) - sqrt(187))\/(sqrt(11) + (sqrt(396) - sqrt(396)*2) - sqrt(11)).\nAnswer: -1009*sqrt(17)\/6 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 5.2. Let d = l - 0.2. Let s = 0.3 + -5.3. What is the smallest value in s, d, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056871 bigger than 1056870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1872.\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235542356.\nAnswer: 2, 3, 11440207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 + 2*i + 8. Let w(k) = 5*k**2 - 2*k - 7. Determine -4*s(v) - 5*w(v).\nAnswer: -v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3))**(-31))**(-17) assuming f is positive.\nAnswer: f**(527\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d065b (base 14) in base 3?\nAnswer: -1221202112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114129?\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6919 is divided by 254?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.054 - 0.054. What is the biggest value in i, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55 - 0.2. Let t = -2.05 + v. Let b = t - -1.70000081. Round b to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -230, -225, -220, -215, -210?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-120)\/(-75) - 219\/(-15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 1246940?\nAnswer: 11222460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 12264?\nAnswer: 12263.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/10*((-40)\/(-15) + -8 + 6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - 4*k, 4*k - 3 = -2*f + 3. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -591, -595, -615, -657, -727?\n\"Answer: -d**3 - 2*d**2 + 9*d - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 j, and 1 f when four letters picked without replacement from skkfjykkkjjyjjj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -20, -4.\nAnswer: -20, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, -8995, -28 in descending order.\nAnswer: -28, -178, -8995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/((-9)\/15))\/(-1). Suppose m*h - 13 - 50 = -2*w, 0 = -w - 3*h + 31. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 4) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - c + 20 + 144 = 0, c = -w - 48. Let p = w + 57. Suppose 1350 = -p*q + 4202. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + 4 - 2*m + 55*m - 7*m - 3.\nAnswer: 28*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**4 + 3*o**4 - 3*o**4)*(2 - 5 + 4) + (9*o**3 + 0*o**3 + 2*o**3)*(3*o - 4 + 4) as h*o**3 + g*o**4 + l + w*o + x*o**2 and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 26*h - 205. Is a(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22 or -9\/112?\nAnswer: -9\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/12314057 and 19\/451892.\nAnswer: 49256228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 1 + 1)*(-1 + 0 - 2)*(0*g + 3*g - 4*g) in the form y*g**2 + x*g + w and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 934158386 to the power of 1\/3, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 46*j - 148. Suppose -5*u - 5*m + 20 = 0, -2*u - 3*m - 2*m = -8. What is the smallest common multiple of k(u) and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-42))\/((-18)\/(-21)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f + 0)*(0 + 0 - 3)*(-8 + 0 - 12).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5971)\/(-133) + (275\/(-2090))\/(5\/(-4))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {i: 4, u: 1, x: 2, k: 6}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*i**2*q**2 - 2*c**3*q**2 + 38*c**3 - 95*i*q**2 + 2*q**2 wrt i.\nAnswer: 4*c**3*i*q**2 - 95*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q**3 + 7*q - 7. Let p(z) = 33 + 2*z**2 - 36 + 8*z**3 + 3*z - 2*z**2. Let l(u) = u**3. Let x(y) = l(y) - p(y). Determine -3*v(r) - 7*x(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifkq when four letters picked without replacement from {q: 1, v: 2, k: 1, i: 1, o: 1, f: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.018 (b) 0.28 (c) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*f - 5*u - 11, 5*f + 5*u + 20 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/(((-2)\/35)\/(64 + -4)). Round l to the nearest one thousand.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**8\/45360 + g**7\/4536 - g**6\/1620 + 2*g**5\/5 + 19*g**2. Let i(c) be the third derivative of m(c). Factor i(r).\nAnswer: -2*(r - 2)*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*v - 28 = 3*o, -5*v = 0. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**6\/720 + l**5\/240 + l**3\/6 - l. Let k(n) be the second derivative of v(n). Factor k(a).\nAnswer: a*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -571*u**4 + 968*u**3 + 59*u**2 - 3*u - 204.\nAnswer: -13704*u + 5808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 2*o. Solve -2 = o*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 946 + -506. Let f = 628 - p. Suppose 3*l + l = f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3. Let d(w) = 2. Let q(a) = 3*b(a) + 5*d(a). Let c(t) = 48*t**4 + 120*t**3 + 99*t**2 + 30*t + 5. Let p(g) = c(g) - 2*q(g). Factor p(k).\nAnswer: 3*(k + 1)**2*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29033*f**2 - 24631 with respect to f.\nAnswer: -58066*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 121\/84156, -1\/3, -0.1?\nAnswer: 121\/84156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -451 + 407.2. Let i = -43 - r. Round i to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 784, 4, -13492 in descending order.\nAnswer: 784, 4, 1, -1, -13492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -j - 41. Let o = -62 - j. Let p(q) = -8*q - 2. Let y be p(-1). Solve o = -3*s + y*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Let q(s) = 5*s. Let a(h) = 14*h - 1. Calculate c*a(r) - 8*q(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60\/7 in -3, 1, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. Suppose 3*f - 4*y - 8 = 0, -1 = -3*f + m*y + 6. Let l(w) = -f + 2*w + 4. Let h(t) = -3*t**2. Give h(l(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11 + 2 - (-4719)\/33 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86083047 is divided by 5604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-452)\/(-678))*-52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvav when four letters picked without replacement from jajvjvvjfjjfjjvj?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and -0.07898872?\nAnswer: 9.07898872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 3}. What is prob of picking 1 g and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 0.5, 5\/33, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6869 - -6869.0001433. What is l rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*n - 80 = 0, 3*k = n - 28 + 76. Let u be (-2)\/2 + -1 + k. Is u at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-66)\/(-44))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*y - 11*y - 9*y + 91*y)*(-6*y + y - 2*y) in the form f*y**2 + b*y + a and give f.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/4)*w\/w**(-7))**(-46) assuming w is positive.\nAnswer: w**(-851\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/25889, -0.1, 15, 2\/7, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 1. Let w(b) = -b - 1. Determine -i(c) + 4*w(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -2\/9 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3912 = -8*i + 1424. List the prime factors of i.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 485*s + 1320.\nAnswer: -5*(s - 11)*(s + 3)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110220200 (base 3) to base 4.\nAnswer: 23322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 2)\/(-9 + 11). Suppose 7*n + n - 952 = z. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -33, 4\/91, 1\/4 in descending order.\nAnswer: 1, 1\/4, 4\/91, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 5*d - 6. Let v(s) = -6*s**3 + 36*s**2 + 36*s - 42. Let h(x) = -36*i(x) + 5*v(x). Differentiate h(a) with respect to a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.7, -2\/11, 1 in increasing order.\nAnswer: -0.7, -2\/11, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 169, -0.0578, 0.06?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01153 less than -0.781568?\nAnswer: -0.793098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1700 by 34.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -17*k + 16*k + 8*k + k**2 - 6. What is j(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqs when four letters picked without replacement from {q: 3, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 2*x**2 + 3*x**2 - 4*x - 1 + 3*x. Is w(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.33. Sort -5, w, 3.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2937.007 - -2942. Let j = -5 + r. What is j rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24*2\/(-10)*10\/4. Solve 7*m - 19 + b = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.221797989 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -105.99. Which is bigger: l or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*w**2 - 17*w**2 + 15*w - 53*w**2 as b + y*w**2 + o*w and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*w + 14*w - 9*w + 0*w + 7*w to the form p*w + f and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 358464964 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 469*b - 1404. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:08 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5117 + 5246.034. Let z = g - 130. What is z rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5124.51 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1346\/215 + -252\/43. What is the third biggest value in 3, -0.21, -2\/7, y?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowbpp. What is prob of sequence wo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (3 - (-7 + 6)). Let p(c) = c**2 + 3*c + 3. Let l(g) = g + 1. Let b = 183 - 182. Calculate b*p(t) + i*l(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*a = 2*a + 21, m + 16 = -3*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0.1 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68441 - 439849 = -909*z - 1763*z for z.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < 6114\/641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34728550*i**3*j - 146*i**2 + 7508*i*j wrt i?\nAnswer: 208371300*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 9. Let r = -195 + 216. Calculate the highest common factor of r and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/75)*d*d*d*d**(-7\/6)*(((d**(-39)*d)\/d)\/d)**(-8\/9))**(-28\/3) assuming d is positive.\nAnswer: d**(-235718\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4\/7))\/o*o**(-8))\/(o**(-2)*o*((o*o**3\/o*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*d**3 + 3*d**2 + 115*d**3 + 0*d - 3 - d + 2 - 2 to the form q*d**2 + x*d + g + w*d**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*x. Suppose -x*l - 2*l = -8. Solve l*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, -1, -13, 48, -3 in descending order.\nAnswer: 48, 2\/9, -1, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:26 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.03 - 3.03. What is the nearest to m in -3\/5, 11\/3, -10\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 135*d**2 + 42*d - 101. Is p(46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 39*w**2 + 93*w - 154. Determine x(37).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*m**2*p + 1366576*g*m**2 - 2*g*m*p + 2*g*m - 40*m**2 + 2*m*p - 3269*m + 3*p wrt m?\nAnswer: 4*g*p + 2733152*g - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 0*j + 0*j)*(0 - 2 + 1) - 2*j + j - 2*j)*(5*j - j - 5*j + (0*j - j + 0*j)*(5 - 3 - 4) - 4*j + 6*j - j - 6*j + 7*j + 6*j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*f + 7 = -6, 5*f - 7 = 3*n. Let u be 5 + -4 + n + 0. What are the prime factors of 2*((-15)\/u)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.050008894 + 27.05. What is o rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 5516301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*v + 29*v + 29*v)*(0 + 0 + 5 - 2).\nAnswer: 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568 and 7252508?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 28170*o + 14084*o - 11 = -14084*o, 4*t + 3*o + 25 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 3*l + 20*l)*(6*l**3 + 3 - 3) - 3*l**4 + 4*l**4 + 0*l**4 + (2*l**2 - l**4 - 2*l**2)*(-1 - 1 + 4).\nAnswer: 65*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g - 120. Calculate w(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 69. Let x = -9 + y. What is the remainder when 155 is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7. Is z\/(-5) + (-332)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.37 - -0.38. Let d = s - 0.01. Which is the third smallest value? (a) -0.2 (b) 1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o**2 - 12 + 12)*(-o + 3*o - 7*o + 2*o).\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18489, 5, 29.\nAnswer: 0, 5, 29, 18489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12244 and 380\/21 + (-178)\/1869?\nAnswer: 110196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -19*g - 5. Suppose 5*o + 11 = -19. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 251845, 253269, 254693, 256117, 257541?\n\"Answer: 1424*f + 250421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34060 - 33991. What is the remainder when v is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:37 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*v + 2, 3*o + 6 = v + 5*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.49, 0.4, 3\/8, 2, -1459, -3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 17*t - 2*v = 92, -2*v = -6. Let i(q) = 19*q + 20*q - t*q + 18*q. Give i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -580152?\nAnswer: -580161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h*h**(-2\/3))\/h)\/h*h)*h)**6*(h\/h**(-2))**(-2\/17) assuming h is positive.\nAnswer: h**(266\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(7 + (-120)\/18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335\/312 + 158\/39. Let u = -3443\/390 + 454\/195. What is the common denominator of o and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848 divided by -8.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 - i + 1. Let k(m) = m**3 - 21*m**2 - 39*m - 23. Let y(h) = k(h) + 3*x(h). Factor y(c).\nAnswer: -2*(c + 1)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*a + a + 5*s, -3*s - 6 = -3*a. Do 6 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/9 + 1 - (-4130)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470877 = -464*n + 431*n. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + f. Let j be r(1). Let p be -1 + 4\/2 + 1. Find g such that -3*g**j - 2 + 0*g**4 + p*g**4 + 4*g - g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 46737868.\nAnswer: -93475736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*v - 9*o + 20, 2*o = -5*v + 25. Solve v*a = 4*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/14*(-39)\/(-390).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-36)*4\/10*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*g + 686*g - 1006*g - 367*g**4 + (-2*g**2 - 3*g**3 + 2*g**2)*(-5*g + 3*g + 4*g).\nAnswer: -373*g**4 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 10) to base 13\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2435 and 5008308.\nAnswer: 25041540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:10 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 12*b**2 - 14*b + 14. Let s be j(13). Let r = s + -7. Suppose -2*w + 4*i - 10 = 0, i - 13 = -3*w + 5*w. Is w less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10215 by 681.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175712663*d**2 + 140741251*d wrt d?\nAnswer: -351425326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2204614 is divided by 2204587?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.171608 millennia?\nAnswer: 71.71608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*v - 22, -2*h + 6 + 17 = -5*v. Calculate the remainder when 2\/h + (-216)\/(-6) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 945, -2305, -7723, -15309, -25063?\nAnswer: -36985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/13))\/g**6)\/((g\/(g\/(g\/(g*g**(2\/15)*g))))\/(g\/g**2)) assuming g is positive.\nAnswer: g**(-724\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 2*t**2 + 1. Let b be h(1). Let l(g) = 2*g**2 - g**b + 5*g**3 - 4*g**3. What are the prime factors of l(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {i: 3, h: 7, t: 8}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -330 + 330. Solve g - 8 = -2*l, -5*g - 3 + 13 = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2*x**5\/5 - 43*x**4 + x**3 - 1442*x**2 - 2*x - 715. Find the second derivative of g(h) wrt h.\nAnswer: 24*h**2 - 1032*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159.93 + -159. Let k = n - -0.07. Let u = 3 + -4. Which is the closest to k? (a) 1\/6 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/16 + (-65)\/(-8). Let l(v) = 3*v - 13. Let y(u) = 3*u**2 + 3*u - 75. Calculate the remainder when y(6) is divided by l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 1142533?\nAnswer: -1142515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27 - 14350\/61740)*-38 + (-30)\/70.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -485*o + 6878. What is h(15)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*o + 7871 = 43367 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -70\/17?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*x = 85, 4*x - 2*x - 62 = -4*b. Let f be 2\/(-3) + b\/3. Suppose f - 7 = h. Put h, 5, -4 in ascending order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 373.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*62*(8555\/118)\/(-145).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93352502?\nAnswer: 2, 46676251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-14))\/(0 - (11 + (-114)\/14)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 39*u**2 - 4*u - 67. Let l(o) = -26*o**2 + 3*o + 45. Give 5*f(k) + 7*l(k).\nAnswer: 13*k**2 + k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/3 - 22390*t**2\/3 + 27741280*t\/3 - 5821199840\/3.\nAnswer: 5*(t - 2108)**2*(t - 262)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b. Let j(k) = -3*k + 0*k - 2*k**2 - 4 + 4. Suppose 2*d = -4, -5*d + 6 = 4*c - 0. Let t be ((-23)\/46)\/((-1)\/c). Calculate t*j(p) + 5*s(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 6*j + 9. Suppose -10*b = -816 + 216. Suppose -b = -4*w + 20. Suppose 9*r = 74 - w. What is c(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y - 49 = -53*y. Is (-2 - y - 6)*-503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-20)*-2*3\/18.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 391960 and 3015.\nAnswer: 236351880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.017 * -2020403\nAnswer: -34346.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**3\/11 + 194*q**2\/11 + 48*q\/11.\nAnswer: 2*q*(q + 24)*(4*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, m: 1, s: 6}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6.8. Let g = -0.6 - h. Suppose -252*w + 255*w = 3. Which is the closest to g? (a) w (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.3 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 8*o**3 - 4*o**2 + 2*o**2 as x + l*o + f*o**3 + s*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 less than or equal to 1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = 4*h, 50 = 4*l - h - 4*h. Let w = l - 0. Suppose 0 = -4*r - 2*m + 116, -r + 3*m + 44 = 29. What is the remainder when r is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187680050*x**3 - 230*x**2 - 239082.\nAnswer: -1126080300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + 6*n**2 - 2*n - 21. Let o be s(-4). Let p = -2199\/119 - -314792\/1071. Let i = o - p. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z - 4. Let j = -1 + z. Suppose j*v + 5*v = 20. Solve -s - 3*a = -4 + 1, -4*a + v = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 14*c**2 + 5*c - 8. Let n(r) = r**3 - 15*r**2 + 4*r - 8. Let y be ((-5)\/15)\/((-3)\/(-54)). Let u(i) = y*s(i) + 5*n(i). Calculate u(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*46*(-79)\/(-25438)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264648.\nAnswer: 2, 3, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 + 33. Let s = -60 + 158. Calculate the remainder when s is divided by k(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142510345 is divided by 47503445.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 485*z + 487*z = 258, -4*w + 261 = 5*z. What is the remainder when 199 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2. Let s(n) = -456*n. What is k(s(x))?\nAnswer: -831744*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let j = 8 - 0. Calculate the smallest common multiple of -2 + r + 0 - -18 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 28 = -4. Let i be (-3)\/o - (2 - 1). Put 0.5, i, 0.2 in ascending order.\nAnswer: i, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**2 + 936*f + 27378.\nAnswer: 2*(2*f + 117)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - d + d + (6 - 14 - 11)*(-3*d + 4*d + d) + 2482 - 2482 + 6*d as x + k*d and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 - 2*t**2 - 4*t - 4. Determine c(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 35*v + 303. Let u be l(15). Solve -3*o + t = -u, 2*t - 3 = -2*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(18) + (sqrt(18) + -1)**2) - 5*(-2 + sqrt(18)))*-6*-2 + -1.\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2. Let y(c) = 50257 - 50257 + 36*c. Give b(y(g)).\nAnswer: -9072*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44814 and 200277.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 675*z\/7 - 5832\/7.\nAnswer: -3*(z + 9)*(z + 216)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -6, -26, -58, -102?\n\"Answer: -6*m**2 + 10*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 10) in base 15?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6)*0)\/(-2). Suppose q = 31*i - 28*i - 225. Suppose -79*o = -i*o - 988. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25372 + p**3 + 0*p**3 - 25374 to n*p**3 + f + q*p**2 + v*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -3\/67, 111.\nAnswer: -3\/67, 111, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1193 + -622. Let l = -556.9 + p. What is l rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -19200532?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -346, -751, -1156?\n\"Answer: -405*f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 92 + 109 = -5*t, 0 = 3*t - 5*c + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*n - 212, 2*q = -3*q - 3*n - 265. Let x = 32 + q. Let m = 1 - x. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 - 4*w**2 + 4. Let y(z) = 15*z**2 - 7651*z + 7651*z - 15 - 12*z**3. Give 15*p(j) + 4*y(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-228)\/570 - (-11454)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/24)\/(159\/(-48) - (-39)\/13)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - 2*f**2 - f + 5. Let o(x) = 2*x**3 - x + 1. Let s(u) = -i(u) + 5*o(u). Let d be s(-3). Is 0.1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110155172?\nAnswer: 2, 17, 1619929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/300 - m**4\/30 - 2*m**3\/15 + 3*m**2. Let q(p) = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-888359988)\/(-22) + (-534)\/(-979). What is b rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 199436*w**2 + 2486418396*w + 12427106580.\nAnswer: 4*(w + 5)*(w + 24927)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126852, -127628, -128404, -129180, -129956?\nAnswer: -130732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 276\/115 + 14\/(-35) + 0. What is the closest to -8 in b, 185, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-12))\/(11700\/1375920).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3325, -11735, -25223, -43789, -67433, -96155, -129955?\nAnswer: -168833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 12*x**2 - 44*x + 128\/3.\nAnswer: -(x - 32)*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*p + 26, v - 4*p + 9 = -p. Suppose 0 = 8*t - 6*t - 4. Suppose -t*i - 4*j = -12, 3*j = -i + 3*i - 5. Sort i, -69, v in decreasing order.\nAnswer: i, v, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -169. Let u(v) = -30*v**2 + 4*v + 1. Let s be u(-1). Let o = s - j. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*-3*99\/(-84). Is -6 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 233 = -14*n - 1133 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -13. What is the closest to 1 in d, -5, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -19 (b) 2\/9 (c) 0 (d) 1 (e) 0.06 (f) 0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*m - 51 + 83 = 0, 0 = 6*h + 3*m - 39. Solve -4*s = 5*l - 22, 10*l + 4*s = h*l + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + 9*k**2\/2 - 6*k - 2. Suppose 8*y - 3*y - 40 = 0. What is d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1660693*a**4*l**2 - 7*a**2*l**2 - 300*a**2*l - l**2 - 13*l + 3 wrt a?\nAnswer: 39856632*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 4\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -45*b + 47. Is d(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*h + 4. Let s(c) = -4*c + 54. Let k(w) = -w**3 - 4*w**2 - 10*w - 8. Let n be k(-3). Let r be s(n). Solve -4*t - h = -r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 15*x + 144. Calculate the least common multiple of 147 and i(9).\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*7\/((-28)\/276). Suppose -9*m + u - 141 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(-3 + 0 + 5) - 6517 + 6333 - 4*g + 6*g.\nAnswer: 4*g - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.092, 2\/7, 0.3, 7, 0.22, 169, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 238088*u + 3542868484.\nAnswer: 4*(u + 29761)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375030 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/16 - -451\/48. Find the common denominator of d and 77\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*g - 7095, 7158 = q + 1107*g - 1109*g. What is the biggest value in 4, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*w + 117. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10938, 21974, 33152, 44544, 56222, 68258?\n\"Answer: 12*q**3 - q**2 + 10955*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 1. Suppose t + t + 2 = 0. Calculate the least common multiple of c(t) and (1\/(-3))\/(9\/(-216)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjjinjiiij. Give prob of sequence jn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13342793.\nAnswer: 107, 124699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/6 - w**3\/6 - 13*w**2\/2 - 3*w - 6. Let f(r) be the first derivative of m(r). Is f(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1683 + -0.0683. Which is the second biggest value? (a) n (b) -1\/4 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.76 + 1.5. Let s = -4972674 - -4972674.2599861. Let t = m + s. What is t rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2)\/18) + (116 - 59)\/(-513)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327484549 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 7081 - 4990 = -656*c - 18955 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 - 1022*p\/13 - 1020\/13.\nAnswer: -2*(p + 1)*(p + 510)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.689 + 2.7. Let m = 1.011 - z. Which is the nearest to m? (a) -2\/9 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69605760 and 55684608?\nAnswer: 278423040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfcu when four letters picked without replacement from {f: 1, c: 2, u: 1, r: 4, x: 10}?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*15\/2*(-10638)\/985. What is the greatest common divisor of 6129 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvevqvecvvvcvv. What is prob of picking 1 c, 2 e, and 1 q?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6862*z + 27460. Give n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:16 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15508162 minus -219.859?\nAnswer: -15507942.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -153*t - 377 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*f + 20*f - 901*f.\nAnswer: -1038*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26980 is divided by 2730.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 7. Let a be p(-6). Let m = -17 + a. Let b = m + -3. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 62*z**2 - 482*z - 2. Let y(c) = -c**2 + 8*c + 1. Let d(q) = -3*m(q) - 6*y(q). What is the second derivative of d(k) wrt k?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.100026 - 7.1. Round b to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18 and -28\/3597.\nAnswer: 21582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45 * 41.\nAnswer: 18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152935 and 57305?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 157441518121\nAnswer: -157441518121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-27)*(3*(4 - 6))\/(-2). Let o be (-5)\/(300\/9)*4. Which is the nearest to -0.1? (a) o (b) -1 (c) q (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1649*x + 108824. Calculate p(-66).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 3, -4\/3, 8.16, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11229587 to four decimal places.\nAnswer: 0.1123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3377 + 16879\/5. Which is the second biggest value? (a) 2\/11 (b) -2 (c) s (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**2 + 12*t**2 + 10*t**2 - 176 - 26*t. Let v(d) = 8*d**2 - 25*d - 175. Let g(c) = -3*v(c) + 4*y(c). Differentiate g(j) wrt j.\nAnswer: 8*j - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffr when three letters picked without replacement from {f: 2, r: 1, w: 1, a: 5, t: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let h(c) = -5*c + 1. Let j(b) = h(b) + 4*w(b). Calculate j(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/5 of a minute?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 10111*r**4\/12 + 7*r**3 + 7*r**2\/2 - 3774*r. Find the second derivative of z(y) wrt y.\nAnswer: 20222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 - 42*s**3 - 190*s**2 - 126*s + 360 = 0.\nAnswer: -15, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - 11*y**4\/12 - 25*y**3\/6 + 12*y**2. Is j(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 241038 - 241038.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369a3 (base 12) to base 14.\nAnswer: 1cd75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*n = 770. Let b = 193 + n. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 19.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 2:46 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 7*a**2 + 5*a - 41. What is o(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = q - 16. Let d = q - -67. Let r = d + -16. What is the greatest common divisor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561134612?\nAnswer: 2, 7369, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/9 - -2)*(-610)\/(-620). Let o = y + 28321\/22320. Calculate the common denominator of 23\/110 and o.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-5 + (-120)\/(-18))*54. Calculate the greatest common divisor of 846 and b.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -95. What is the smallest common multiple of (-2)\/(-3)*(0 - -3) and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3828*r - 6169*r + 303006 + 37166 = -39714 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880434 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 22. Let r be s(6). Solve -d - r + 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -337\/226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 176\/(-10). Let u = 33 - k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 8*p)*(1 + 5 - 3).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 + 2*f**2 + 2*f + 1. Let u be k(-1). Suppose 5 = u*g - 3. Suppose 0 = -5*y - 3*p + 40, 3*y - 20 = -3*p + 4. Solve 3*n + g = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-351))\/(2*(-23)\/18).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 5)\/(1\/2). Suppose x*k + 16 = 56. What is the least common multiple of 6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051307 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2 (c) -21\/8 (d) -11 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.884 and -0.72?\nAnswer: 1.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.2 (b) 1\/5 (c) 1\/7 (d) -5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:03 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 - 3*z - 3. Determine a(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*u**3 - 47*u**3 - 3154*u**2 + 3154*u**2.\nAnswer: 367*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from aaaaaaxxxaaaxxaaaaaa.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8, 0 = t + 5*p - 0*p - 15. Is t at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {w: 13, t: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + sqrt(5) + -1 - (sqrt(5) + 1 + sqrt(5))*3)**2 + 3 + ((sqrt(720) + 2)**2 - (sqrt(720) + -1 - sqrt(720))).\nAnswer: 88*sqrt(5) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -2 - (8\/(-8) - 327). Suppose 24 = -28*s + j. Which is smaller: 5 or s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7737, -14864, -21991, -29118?\nAnswer: -36245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 9*c + 8*c + 31, x + 5*c + 10 = 0. Let w be 1\/(-3) - x\/45. Let m = 25 + -51\/2. Is m greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (305844\/16219)\/((-8)\/(-14))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 16. Let q be b(13). Let v be (-2 - (-14)\/4)\/(q\/(-4)). Determine m so that -2\/5*m + 0 + 2\/5*m**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11658 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 - 4*a**2 + 8*a. Let i(c) be the second derivative of 11*c**5\/20 - 3*c**4\/4 + 17*c**3\/6 - 83*c. Give 4*i(o) - 9*v(o).\nAnswer: -o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215314513 + 0?\nAnswer: 215314513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + -1*sqrt(832)*2))*-5)\/(sqrt(144) + -4*-2*sqrt(144) + (sqrt(144) - ((sqrt(144) + 2*sqrt(144))*4 + sqrt(144))) + sqrt(144)).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-42)*(-2800)\/(-2400).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -7. Let x(i) = -i**3 - 12*i**2 - i + 13. Let k be x(m). Calculate the highest common divisor of k and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*q + 2*h - 5, 287*q - 301*q = -3*h - 65 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2667676*j - 2667676*j - 1576*j**2)*(9*j + 2*j - 12*j)*(1 - 1 + 2*j) in the form w*j**3 + b*j**4 + r*j + t*j**2 + a and give b.\nAnswer: 3152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*c + s + 4*s, -5*s = 2*c - 2. Suppose 5*u + c + 9 = 0. Let q be 22\/6 - (-2)\/u. Solve q*x - 2 = o + 2*x, 18 = o + 4*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than -19?\nAnswer: -18.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7945 + 8021. Let n = 704 + -792.8. Let r = x + n. What is r rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(37\/5920*-16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - 2*x)*(-7 + 0 - 2)*(3*x + x - 2*x).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*o + 20 - 40, -4*n = 2*o - 40. Suppose n*x = -11*x + 1890. What is the greatest common divisor of 75 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -142?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64513, 64556, 64599?\n\"Answer: 43*y + 64470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37 - 25 + 5*w - 21 wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (-2*sqrt(119)*-5 + sqrt(119)) - (1*sqrt(119)*-6 - sqrt(119)))\/(-4*-2*sqrt(448)).\nAnswer: -3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-2)\/(-6)*210\/245.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236036807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 - 3*a**2 - a + 4. Let x be k(2). Let d = x - 28. Suppose 7 = g - p - 30, -136 = -4*g - d*p. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 25 = -5*v, 0 = -13*v + 15*v + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9644957*d**3 + 94*d - 78257?\nAnswer: 57869742*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 30331 = -4*a, -3*a - 2*a - 151625 = -5*k. What are the prime factors of k?\nAnswer: 30323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 20*g - 85 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 13)*(-2 + 4 + 0)*(-14*g**3 + 192*g**3 + 81*g**3)*(5*g - 29 + 29) to x*g**3 + s + b*g**4 + i*g + w*g**2 and give b.\nAnswer: 38850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/90)\/((-980)\/60).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5124434 or -5124432?\nAnswer: -5124434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkmm when four letters picked without replacement from kmkkkkkkkmkkkm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(847) + -1 + sqrt(847) + sqrt(847)) + (-2 + sqrt(847))*3 + 5 + ((sqrt(847) + 2*sqrt(847))*-2 - (-1 + sqrt(847))*3) + 0)**2.\nAnswer: -2376*sqrt(7) + 274464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 142 = 58. What is the common denominator of -73\/10 and s\/(-16) + 1*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 573 + -289. Let d = -281 + n. Solve -h + d = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 1772 - 46*y - 1772.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -921 by 127170.\nAnswer: -307\/42390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -8, 1, -0.9, -0.04, -793?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.1, 0, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 15 - (6\/2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/40 + 44*y**5\/5 - 349*y**4\/8 + 87*y**3 + 11*y**2 - 2. Factor s(x).\nAnswer: -3*(x - 174)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-6)))\/c**(2\/5))**(12\/11)\/((c**(1\/2))**(1\/17)\/(c*(c*c**(2\/19))\/c*c*c*c**(-1\/9)*c)) assuming c is positive.\nAnswer: c**(3221309\/319770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-9 - 10)) + 42 + -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2 + 5*f - 5. Let k(m) = 5*m**2 + 2*m - 2. What is -5*k(h) + 2*t(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2 - 2 + 5)*(-p**3 - 3*p**2 + p**2 + 0*p**2).\nAnswer: -2*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1098, -1, 5.\nAnswer: -1, 1\/1098, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -72. Solve -j - 9 = -2*g, 0 = 3*j - q*g + 9 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*b - 3)*(-9*b + 69*b - 3*b) + (-b + 0 + 0)*(0*b + 0*b - 3*b) to x*b + v*b**2 + f and give v.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1037784, 4151133, 9340040, 16604499, 25944504?\nAnswer: 37360049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 672197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 + 50*k**2 + 62*k - 44 = 0. Calculate k.\nAnswer: -11, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, -0.15, 5, -11?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -629779, -1259563, -1889347, -2519131?\n\"Answer: -629784*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + 0*a**3 + a - a**3 + 14 - 2*a**2 - 14 as z + g*a**4 + k*a**3 + x*a**2 + p*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 23 = 33. 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: Evaluate (64\/10)\/(500\/1250).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2092.3992 - -1.1908. Let f = o - 2105. What is f rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4927299 - -517370621\/105. Let d = 85\/7 + -1832\/35. Let f = r + d. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4733 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(176) + sqrt(88)\/sqrt(72).\nAnswer: -47*sqrt(11)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -14 (c) 2\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/(2\/4). Let r = b - -8. Suppose -2*p + p + r = a, -a - 5*p = 0. Calculate the remainder when 44 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.9*-38\nAnswer: 1288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 - 19*g**2 + 26*g + 2?\nAnswer: -12*g - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90640134 a multiple of 2899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 4817 - 2751 = 0. Calculate the greatest common factor of 43 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + 24. Let z = -9 + 15. Let j(n) = -2*n**2 - 5*n**2 + 6*n**2 - 6 - z*n. Calculate j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -354.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 4, -0.7, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let a(s) = 4*s**2 - 3*s + 5. What is the remainder when a(z) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {i: 1, d: 1, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:48 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122888444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwba when four letters picked without replacement from abwaw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let s(h) = -h**3 - 15*h**2 - 15*h - 14. Let n be s(-14). Let l(i) = i - 1. Let v be l(n). Give u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 15284*d + 23 - 42.\nAnswer: 15284*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 12 (b) 2\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*o**5*x**3 - 32876*o**5 + 3*o**2*x**3 + 12*o**2*x + 3374*o**2 wrt o?\nAnswer: -7140*o**2*x**3 - 1972560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 - (-6 - (18 + 6)). Suppose -3*l + 2*i + y = -0*l, -2*i + 34 = 2*l. Suppose 3*p - c = -8, -11*p - l = -6*p - 2*c. Sort -18, -2, p.\nAnswer: -18, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 891795 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aljkb. Give prob of picking 1 l and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + -1 + (9 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67224.\nAnswer: 2, 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - m - 3*m as p + s*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*k - 494*k + 333*k + 1530 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1582 divide 213261510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + (7 - 3 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 g when three letters picked without replacement from {g: 2, u: 1, x: 1, t: 1, s: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 89 = 3*i, -13*l + 15*l - 7*i + 6*i + 18 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373070309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)\/j)**(3\/41))**(2\/31) assuming j is positive.\nAnswer: j**(-6\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-2 - 7) + 0 - (8 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n - 22. Let i be z(4). Calculate the greatest common factor of 90 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:46 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -372, -376, -382, -390, -400, -412?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631.71*-632.\nAnswer: -399240.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12986203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11) + 0 + -3*sqrt(99) + (5 + -3 + sqrt(11)*1)**2 + -2.\nAnswer: -4*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13930561 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 7 = -1155. Let q = 405 + w. List the prime factors of q.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, 3\/4, 2, 1, -4287\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**4 + 2*g**3 + 10*g**2 - 2. Let b(r) = -8*r**4 + 5*r**3 + 21*r**2 - 3. Let j(i) = -2*b(i) + 5*p(i). Factor j(o).\nAnswer: -4*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*112\/29988)\/(32\/336).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.95 + 0.05. Let u = y + -0.94. Let j = u - -0.94. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/12 - (1 - (1 - -3)). Suppose 3*n + 2*n + 2*w = 277, -5*w = -k*n + 160. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10*k = -462. Let h = -75 - k. What is the lowest common multiple of (2 - (1 + h))*21\/(-3) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 238266.\nAnswer: 5\/39711","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 1021 = 4*h. Suppose -2*a = -5*a + h. Let s = a + -48. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 2c1?\nAnswer: 2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*x = 4*k - 19, 0 = -k - 4*x - 15. What are the prime factors of (-4*(-7)\/56)\/(k\/124)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/47, -6, -1\/2102, 1\/11, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106813 rounded to 3 dps?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*x*(x\/x**(4\/5))\/x)**(-8\/3) assuming x is positive.\nAnswer: x**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.5 (c) -19\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -906335133*b**4 + 2759527089*b**3 - 122168970*b**2 + 1814700*b - 9000 = 0. What is b?\nAnswer: 10\/671, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 9. Calculate the common denominator of 34*c\/(-44) + -3 and -39\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -18*w. Suppose -12*n = -w*n - 12. Calculate the remainder when -1 + (n - -14) + 0 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let k be 3 - 2*1\/p. Solve 0 = -k*t + 5*n + 16, -t - 3*n + 4*n + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2569*q + 9437*q + 38080*q.\nAnswer: 50086*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 285505166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ococoooo?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5923 + 93 - 1318*p + 818*p - 11*p**3 wrt p?\nAnswer: -33*p**2 - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 382*j**2 - 10*j - 1792. Let f be c(181). What is f rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 at least as big as 1356\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 300321180*z - 7516067596382700 = 0.\nAnswer: 50053530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 11*a**2 + 19*a - 25. Let z(s) = -2*s**2 + 26*s - 14. Let f be z(12). Is 13 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/25 - 72592*s\/25 - 658699808\/25 = 0.\nAnswer: -18148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 12*x**2 - x + 11. Let h(l) = -l**3 + 6*l**2 - 5. Let j(s) = -4*d(s) - 7*h(s). Let c be j(6). Solve 3*g - c = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 5, d: 4}. What is prob of sequence vvsv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10591\/2 < 5295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49261521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -53717?\nAnswer: -53719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*w - 0*g + 1276 - 1293, -3*w + g = -2*g + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 416196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 5*d + 23 = -6*d, 2*d + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -20 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12789, -25580, -38371, -51162?\nAnswer: -63953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238705933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 3*d**3 - 66*d + 9*d + 2*d**3 - 4*d**3 + 0*d**3 + (d + 2 - 2)*(-4*d**2 - 2 + 2).\nAnswer: -8*d**3 - 57*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1374\/285*70\/(-14). Let f = 10631\/456 + k. Let z = -1\/397 - -18673\/5558. Find the common denominator of f and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*l**2 + 47136*l - 1757215.\nAnswer: -68*l + 47136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18060\/(-3612) - ((-2)\/3 - 224\/6)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464202530.\nAnswer: 2, 5, 346420253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6\/u**(13\/2)*u**(-10\/9)*u\/u**5 assuming u is positive.\nAnswer: u**(-101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 509061, 1018220, 1527465, 2036790, 2546189, 3055656, 3565185, 4074770?\n\"Answer: -g**3 + 49*g**2 + 509019*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 0.65 (c) 516 (d) -967\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**2 - 4185*o + 113260 = 0.\nAnswer: 28, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2814257 * 5.\nAnswer: 14071285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let d(u) = -3*u + 15*u - 9*u + 3*u - 5*u. Suppose -3 = 4*k + 1. What is k*h(j) - 4*d(j)?\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37326 divided by -6.\nAnswer: -6221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24827976781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263492788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9078 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 70 - 78 + 108 + 151 + 125 - 67.\nAnswer: -9*a + 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 10*m = -209 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 13*g**2 + 13*g - 1. Calculate y(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 22*h - 42. Let s be z(-13). Solve -10*y + s = -8*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Suppose -9 = -h - 3. Suppose h*f + 30 = -0*f. What is the closest to f in 0.1, 2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 + 1211110222?\nAnswer: 1211121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009015 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*h - 12, 4*p - 4*h = -2 + 6. Let d = 1 + 4. Suppose 3*b - d*w + 0 = 14, 2*b + 2*w = 4. Solve -1 + b = -p*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - 16*y**2 + 6*y**2 in the form c*y + n + s*y**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/878 and ((-7)\/(14 + 35))\/(6\/(-847)).\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 21. Determine h(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132747\/16 + -8300. Calculate the common denominator of z and -83\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3 less than -0.0701?\nAnswer: 39.2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*m - 23791 = 289*m + 83*m + 3*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3\/(-24)*6. Suppose -2*i = v + 4*v + 30, d*v - 2*i = -18. Sort -3, v, -1 in descending order.\nAnswer: -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247 + -154. Calculate the greatest common divisor of r and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(78)*1)\/(sqrt(384) - sqrt(384)*-2) + 3)**2.\nAnswer: -sqrt(13)\/3 + 9229\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and 25\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2842 - 1806. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2. Let p(y) = 5 + 0 - 15 + 5 - 8*y**2. Let a(x) = -4*x**2 - 2. Let s(l) = -5*a(l) + 2*p(l). Give s(f(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189 and -5.\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29047 or 5373907\/185?\nAnswer: 5373907\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*i - 4, 5*i + 28 = 18 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13687*m*t - m + 6061 wrt t?\nAnswer: -13687*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909375 and 1125.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/16)\/((-6)\/(-16)). Let n be g\/(-25) + (-3)\/(-15). What is the closest to 4 in n, 2\/3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*r = 437, 35*r = -8*h + 40*r + 1755. What is the remainder when h is divided by 86?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162025726 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42399557 and 1821?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h**(-4)*h*h**(-2\/9)\/(h**(-1\/2)\/h)*((h**(-1)*h)**(1\/14))**32 assuming h is positive.\nAnswer: h**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839 is divided by 259?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*t = 785*t + 140 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-5)\/u))**13)**45 assuming u is positive.\nAnswer: u**4095","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxg. What is prob of sequence mgm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 2*n**4 + n**4 + (4*n**2 - 4*n**2 - n**2)*(-3*n**2 - n**2 + 3*n**2) + 0*n**2 + 0*n**2 + n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420959589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 - 79 + 416 = 52*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*y - 3*o + 11, -y + 11 = 4*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 870233 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292.9572 + -0.0428. Let a = r - -286. Sort 0.08, a, 4 in decreasing order.\nAnswer: 4, 0.08, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1290 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 558*o + 2234. Let w be f(-4). Solve 2*h = -4*d - 9 + 3, -2*d - w*h = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 25583292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -51. Suppose s*u - 21 = -u. Let c be (-30)\/(-21) + -1 + (-72)\/u. Is -3 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 0 (c) -10 (d) 126199 (e) -0.06 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from takhhkaakatj. Give prob of picking 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j - 1. Let r(a) = -2*a**2 - 5*a. Let w(g) = 3*m(g) - r(g). Let l = -16405 - -16407. Determine w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 190, 765, 1752, 3181, 5082?\n\"Answer: 5*a**3 + 176*a**2 + 12*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*h - 375, -y + 1506 = 3*y - 2*h. Let u = 347 - y. Sort -4, -1, u, 2.\nAnswer: u, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 2, m: 1, p: 1, v: 14}. Give prob of sequence bpm.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 - -9. Which is the fourth smallest value? (a) 0.3 (b) z (c) 1\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44301254 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 18*t - 115. Let y be q(8). Let s = y + 511. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2 - 8) + 4 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 2255\/9 (c) -0.1 (d) 0.26 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1148)\/24 + -11)*-6 is divided by 42.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525844 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -533 or -4795\/9?\nAnswer: -4795\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -2. Let a be (3\/(-30))\/((-6)\/c). Let m = -2 + -1. What is the closest to 0.1 in -1\/4, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(102))\/(sqrt(24)*5).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9245404 and 59\/9245404.\nAnswer: 9245404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*q*u**3 + 2*q*u**2 + 145*q*u + 2*u**3 + 76*u wrt q?\nAnswer: -9*u**3 + 2*u**2 + 145*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {j: 3, x: 2, c: 2, v: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -1. Let r = 34.37 - 29.356. Let n = c + r. Round n to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 2.3. Let n = 44.3 + -47. Let v = n + 3. What is the closest to -1 in 2, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2\/5, 0 in descending order.\nAnswer: 2\/5, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.03\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200120010 (base 3) to base 6.\nAnswer: -142350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111110100 (base 2) to base 7.\nAnswer: 14623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147)*6 + sqrt(147))**2 + 0 + -5*(sqrt(432)*6 + sqrt(432)).\nAnswer: -420*sqrt(3) + 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 992, 1984, 2976, 3968?\n\"Answer: 992*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 40 = 4*i, -3*z + i - 58 = 22. Let g(m) = 3*m**3 - 3*m**2 - 2*m + 2. Let t be g(3). Let v = t + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 41. Calculate u(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 - 5*i + 4. Suppose -k + 10 = -8*c + 3*c, 0 = 2*k - c + 7. What is the tens digit of m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from njjgnnnjnjjnjjj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/(-23 + (-1900)\/(-80)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -25*i**2 - 1\/3*i**3 + 0*i + 0 - 1\/24*i**4. Determine u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11576, 4, 5 in descending order.\nAnswer: 11576, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2 and 19\/5872.\nAnswer: 5872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182344 is divided by 2999.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 11. Let k be z(-9). Differentiate -k*m**3 - 540 + m + 2*m + 469 wrt m.\nAnswer: -48*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 1, -33, -65, -95, -123, -149?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1. Let p = -16.43 - -16.4. What is the closest to -1\/2 in z, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**4 - 6*v**3 - 4*v. Let r(p) = p**3 + p. Let z(w) = f(w) + 4*r(w). Find u such that z(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z**3 - 8*z - 2 + 2. Let h(w) be the third derivative of 0*w**3 - 5\/24*w**4 + 0 + 2*w**2 + 0*w**5 + 0*w + 3\/40*w**6. What is -8*h(t) + 5*j(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -1\/2, -3\/5, 1\/4, 5.6, 5?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5*f**5\/f)\/((f**(1\/7)\/f)\/(f*(f*f**(-1\/5))\/f)))**36)**(-31) assuming f is positive.\nAnswer: f**(-416268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:45 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4464 - 4449. What is the highest common factor of 870 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -1\/10*s**2 - 28\/5*s + 285\/2 = 0.\nAnswer: -75, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**3 + 514*p**2 - 85*p + 25. What is m(-43)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396406 is divided by 1446.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 + 0.41. Let o = n + 0.08. Let a = 0.37 - o. What is the nearest to a in -3\/4, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 7, t: 3, o: 2, n: 3, m: 1}. What is prob of picking 2 o and 1 w?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w**5 - 2*w**5 + w**5 + (-14*w**2 - 3*w**3 + 14*w**2)*(2*w**2 - 5*w**2 + 5*w**2).\nAnswer: -17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4284\/(-2856))\/((-9)\/(-150)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/30 + n**4\/12 - n**3\/2 + n**2. Let a(c) = -c - 6. Suppose 17*z + 46 = -5. Let j be a(z). Determine m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.459111336 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 3*d**2 + 4*d - 10. Let k(n) = 5*n**3 + 5*n**2 + 9*n - 21. Let q(t) = -3*k(t) + 7*u(t). Is q(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70624 or -70630?\nAnswer: -70624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5240000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171 - 327 - (29 + -108)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = 2*t. Let o be 3\/t*33*-2. Let h be o\/55 + 4\/5. What is the second smallest value in 1\/2, h, -0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Let q = 10.4 + -10. What is the closest to 1 in 3\/5, u, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5144 by -2572.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b - 11. Calculate l(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -11 + 3\/4*b**3 - 71\/4*b**2 + 28*b = 0.\nAnswer: 2\/3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -3. Let q be ((-2)\/(-7))\/(w\/(-777)). Suppose -5*o = -q + 14. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 61 - 68)*(3 - 3 - 2)*(-2*w + 5*w - 5*w).\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 + -3 - -1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 912*z**2 - 10030*z + 2. Give a(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 11*x + 5. Let a be g(-11). Suppose -o + 60 = a*i, 2*o - 5*o + 3*i + 90 = 0. Let j = o - 30. Solve y - j = -2*c, 3*c - 14 = c - 4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -303754.1 to the nearest 1000.\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) -3 (b) 0 (c) 26393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*o - 109*o - 109*o - 110*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 17*n**2 - 33*n - 15. Is 20 a factor of l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 8. Let v be -2*2\/2 - (1 + -1). Let x be f(v). Suppose 5*p + x*d = 27, 3*d - 4 = -2*p - 2. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 11*x - 10*x. Suppose 0 = 4*t + 6*t - 120. Suppose -w - v = 4, w + 0*v + 3*v + t = 0. Solve -5*m + 2*o + 10 = -3*o, w = -4*o - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1149.53655329 from 998.\nAnswer: -151.53655329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208142718 divided by -2.\nAnswer: 104071359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1. Let c(g) = -52*g + 52. Suppose 23 + 7 = -30*o. Let l(d) = o*c(d) + 52*m(d). Let b(p) = p**2. Calculate l(b(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -q + 3*o + 5, -4*q + 10 = 2*o. Suppose 0 = -x - q*x + 2. Solve 3*y = x + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 49*l + 309. Which is the nearest to 10? (a) -1\/10 (b) 3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -39, -9059 in increasing order.\nAnswer: -9059, -39, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488695492.\nAnswer: 2, 1213, 306821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -110. Let n be (k\/(-9))\/((-2)\/21). Suppose l = -3*y + 24, -4*l + l = -3*y - 24. Solve 4*o - n*o = -l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62301639 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 4:09 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 6*c - 5. Let u be s(-5). Solve -5*l + a = -7, a = 3*l - u*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + f**2 - 2*f - 3. Let t(c) = 4*c**2 - c + 1. What is the remainder when t(-3) is divided by o(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 times 0.01?\nAnswer: -3.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g. Suppose g - 2 = -2*s. Solve s = 3*y - 4*r + 3, 0 = -5*y - 5*r - 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 0, -9 = -4*i + 7*i + 2*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llii when four letters picked without replacement from illillilliulll?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138173098 and 966?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/20*(14 - (25 - 9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 17*j - 6*j. Calculate the smallest common multiple of 274 and j.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 22*k - 373 = -73 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -r - 4*k, -3*r + r - 3*k = -20. Let n(t) = -t + 1440000 - 4*t + r*t. Let q be n(0). What is q rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14991 is divided by 208.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256046 is divided by 255946?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.4 + -22. Suppose 3*q = m, 0 = 4*m - 4*q + 2*q. What is the closest to m in 2\/7, 2, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153841589, 153841588, 153841587, 153841586, 153841585, 153841584?\n\"Answer: -m + 153841590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:46 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001689649 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - q = 8, -2*q = 4*g - 7 - 1. Suppose -3*n = -3*h - 171, 2*n + g*h = -n + 141. Let l = -33 - -47. What is the remainder when n is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 5\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -303 and 11?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/5101758 and 16\/39963771.\nAnswer: 239782626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170078 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1115, 2226, 3337, 4448?\n\"Answer: 1111*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715006101 is divided by 961?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**7\/420 - 7*l**6\/48 + 3*l**5\/10 - 983*l**2. Factor s(p).\nAnswer: -p**2*(p - 1)*(p + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 + 1897654*n**3 + 450106922822*n**2 - 13955199041454*n - 14405304066624 = 0.\nAnswer: -474429, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/2 (c) 208 (d) -1\/5 (e) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/18 and -157\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1594 + -582. Is 48 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355507 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 28.48919 millimeters?\nAnswer: 28489.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176512 minus 14.7800067?\nAnswer: 176497.2199933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4568327?\nAnswer: 4568327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {i: 2, y: 1, k: 1, n: 5, x: 4, q: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*g - 4*z, -333 = g + z - 341 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10050088, 2, -4.\nAnswer: -4, 2, 10050088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 19*l**2 + 151*l - 19. What is a(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 46*y = -102. Calculate the greatest common factor of 78 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2660938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 4)\/(-2) + -2. Let h(s) = -s + 7. Let w be h(7). Is z greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74223 is divided by 887?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 15. Calculate l(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35660*m - 5063733. Determine g(-142).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -577 divided by -3?\nAnswer: 577\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129157477*h**4 - 1014006*h + 13.\nAnswer: 1549889724*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*b - 35. Calculate the greatest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r + 3)*(-4*r + r + r) + 3 - r**2 - 3 + 1 - 1 + 2*r**2 + (2*r + 4 - 4)*(-4*r - 2*r + 4*r) + 0*r - r**2 + 0*r.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481944 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2 (c) -4572 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6356, 6355, 6364, 6389, 6436, 6511, 6620?\n\"Answer: i**3 - i**2 - 5*i + 6361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/945)\/((18\/(-4))\/(1875\/700))\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.49 and -5.\nAnswer: -17.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100011000 (base 2) to base 7.\nAnswer: -20152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18764 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: In base 15, what is 696 - e0?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppbppppb. Give prob of sequence ppp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t\/((t\/((t*t**2)\/t))\/t))\/t))**(-2\/157)\/(t*t**0\/t)**(-3\/2) assuming t is positive.\nAnswer: t**(4\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1287928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 0*l**3 + 0*l**3)*((-4 - 3 - 4)*(8*l - 2*l + l) - 5*l - 11*l + 3*l).\nAnswer: 90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 58, 91, 122?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/63*3 - (-10)\/(-90). Which is the nearest to 2\/5? (a) k (b) 3 (c) 12 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**32*s*s*s\/s**(-3\/11)*s*(s*s\/(s*s**26))\/s*s*s\/s**35 assuming s is positive.\nAnswer: s**(-943\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 50*a + 51. Let b be p(-26). Put b, -19, 1 in increasing order.\nAnswer: -19, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(10)\/sqrt(5)) + 5 + 1.\nAnswer: 3*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 34 = -54. Is 83 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3166 + 5796. Suppose 4*o = -3*b - 391 + p, -5*b + 3*o + 3751 = 0. List the prime factors of b.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 49. Let l(m) = 2*m - 148. Give 2*l(g) - 7*x(g).\nAnswer: -3*g + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h. Let r(i) = 2*i**4 + 55*i**3 - 542*i**2 - 6*i. Let n(q) = -6*g(q) - r(q). Find the third derivative of n(l) wrt l.\nAnswer: -48*l - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p**2 + 231*p + 53. What is s(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1484, -5459, -12064, -21293, -33140, -47599?\nAnswer: -64664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1801.670637 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10033 divided by -5\nAnswer: -10033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8728\/(-6546))\/(160\/(-18))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, -2, 671626, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 + 340708*a + 1022106 = 0. What is a?\nAnswer: -170351, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2357, 4718, 7081, 9446, 11813, 14182?\nAnswer: 16553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -26*k - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 18 = -2*w - 3*d, 3*w + 4*d - 26 = 0. Suppose w*m = 6 + 228. Suppose -37*i - 40 = -m*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13294485036.3 - 3.\nAnswer: -13294485039.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 0 - 2)*(2*i**4 - 2*i**4 - 3*i**4).\nAnswer: 6*i**5 + 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-6))\/(4\/(-12)). Let c be -3 + (3 + -4)*o. Suppose 5*l - p = 3*p + 11, 2*l = -c*p - 22. Which is smaller: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*t + 104*t + 660*t**3.\nAnswer: 660*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-114)\/(-76) - 21\/(-2). Let w be 15*((-160)\/t)\/(-10). Let d be (-2)\/5 - (-54)\/10. Solve 0 = s - d*h - 10 - w, -35 = -3*s + 4*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*x + 49 = 79*x - 6. Suppose 3*u - 5 = -4*w + 12, 5*u - 23 = -4*w. Suppose 0 = -u*o - 0*o. Solve -x + o = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 104, 95, 82, 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10726 at least as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*n + 1134*n + 36570 = -193*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 5*y - 1430*y**2 - 2378*y**2 + 8*y.\nAnswer: -3808*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 9*i. Solve -5*a = -2*s + 16, 3*s = -i*s - 5*a - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 - k + 1. Suppose 14 = -6*a - 2*d, 5*d + 6 + 1 = -a. Give g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 - 4*j**3\/3 + 238*j. Give n(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3100 or 631?\nAnswer: -3100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16197 - 14176. Calculate the smallest common multiple of 141 and j.\nAnswer: 6063","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1109, -1102, -1097, -1094, -1093, -1094, -1097?\n\"Answer: -y**2 + 10*y - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 41*m\/2 + 1681\/4.\nAnswer: (m - 41)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112 + 4*(-2)\/4. Suppose -s - 41 + l = 0. What is the remainder when s is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/63293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24 + -15)\/(3\/46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y - 4*y - 2*y + (3 + 0 - 4)*(5*y - 3*y - 2 + 2*y) in the form h + k*y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30816.68l?\nAnswer: 30816680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51371777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 10) to base 15.\nAnswer: 10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6399*l**2 + 2*l + 111. Let w(v) = 5*v. What is h(w(d))?\nAnswer: -159975*d**2 + 10*d + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73124*i**4 - 85289*i wrt i.\nAnswer: 877488*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 552.0367 to one dp.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -8*u - 21. Let 3*q**3 + 2*q**3 + u*q**3 + 5*q**2 - 2*q**3 - 5*q = 0. Calculate q.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*r**3 - 40000*r**2 - 15504940*r + 10354400 = 0. What is r?\nAnswer: -344, 2\/3, 3010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21115457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 869 = 5*b. Let r = 85 + b. Calculate the smallest common multiple of 14 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1670288.1 milliseconds?\nAnswer: 27.838135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64491 and 156177?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.5 and 2306.9683821096.\nAnswer: 2313.4683821096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 302 = -4*g + 52, 2*u = 4*g + 256. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 14. Determine w(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + z = -26, 3*z + 1 = -2. What is the greatest common divisor of 8 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y. Suppose 3 = w + 2*x, 2*x = w - 2*x + 9. Let d be r(w). Let c(a) = 2*a + 5. Is c(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7)*1 + 1 + (sqrt(7) + -1)*-3 + ((6*((sqrt(70)*1 - sqrt(70)) + sqrt(70)))\/sqrt(10))**2*-5.\nAnswer: -1258 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -1793.\nAnswer: 1792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*z**3 - p*z - 19460883*z**4 - 61246*z**2 - 2 wrt z?\nAnswer: -12*p - 467061192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 20*t - 29. Let z be j(-15). Let v = 3820 + z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 2*a**3\/3 - 7*a**2\/2 - 441*a. Let p(m) = -3*m + 4*m + 3 - 4. Let i = -5 - -6. Calculate i*f(q) - 5*p(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 103?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -3. Let v = 12 + b. Suppose 0 = -v*w + 4*w - 1. Is w at most as big as -5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*a + 3\/4*a**3 + 3\/2*a**2 - 3\/2 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 870144?\nAnswer: -870143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 9*o - 10. Let y be f(-7). Suppose -y*r + 79 - 23 = -2*v, r - v - 12 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) -0.3 (d) 27 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1077101.8*0.15.\nAnswer: -161565.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-625)\/(-40)) + (-67)\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 61581.\nAnswer: 5\/61581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 - 5*f**3\/6 + 7*f**2\/2 - 4*f - 5. Give d(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6938538?\nAnswer: 2, 3, 1156423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10728128 is divided by 2535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 10*j + 18. Let l(x) = x**2 + 2*x - 1. Let p(n) = 5*l(n) + s(n). Let y(v) = -2*v. Determine y(p(u)).\nAnswer: -12*u**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 8*c**2 + 11*c + 10. Let q be z(-4). Suppose -4*g = 2*g - q. Let f = -9 + 15. Calculate the smallest common multiple of f and g.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -2*p. Let d = -6 + p. What is the first derivative of y**4 + d - 5 + 5 + y**4 wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 100 = -j + 28, 4*j - 512 = 3*m. Calculate the remainder when j is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14714 - -14714. Solve 404*b - 401*b + 9 = a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n - 116. What is r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7803776 and -83\/761344.\nAnswer: 31215104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20930116 is divided by 139534.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = 0. Suppose p = 5*w + 29 + 76. Is (10\/(-35))\/(9\/w)*48 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3\/5)\/(1\/5). Suppose -r*t + 7 + 11 = 0. Solve i + 19 = 4*o - 7*o, 0 = -5*o + 4*i - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 7. Let i be g(-5). Calculate the remainder when 4\/18 - 97\/(-9) is divided by (6\/7)\/(i\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201321354?\nAnswer: 2, 17, 35332981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, -3\/2, 1.337, 2\/57 in increasing order.\nAnswer: -3\/2, 2\/57, 1.337, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/646*(-2375)\/2500?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 4, d: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203215?\nAnswer: 5, 97, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.2 (b) -0.3 (c) 3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-9)*k**(2\/9))**(-34)\/((k*k*(k\/(k\/k**2))\/k*k)\/(k\/(k**(-4)*k))*(k*k**0)**25) assuming k is positive.\nAnswer: k**(-3353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a + 3. Suppose 18*n - 23*n = 0. Let s be p(n). Suppose -4800000 = c + s*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 6, -0.4, -4\/17, -0.1, -21?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = 3*r. Solve -6 = 3*o + 3*y, r = -3*o - 4*y + 6*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 19\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -166683181?\nAnswer: -2\/166683181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/6 + 32047*a**2\/2 - 320495*a\/2 + 2403775\/6 = 0 for a.\nAnswer: -96151, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 102409523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70851713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {w: 3, y: 1, t: 3, u: 1, g: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.36 - -4.98. Let r = a + -1.82. Is r less than -2\/1121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1252443 and 135150?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 19*a**2 + 18*a + 38. Let k(u) = -u**3 - 1. Let f(b) = 3*k(b) + z(b). Let j be f(20). Let s(t) = -53*t - 44. List the prime factors of s(j).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (sqrt(540) + sqrt(540)*2*1))\/((sqrt(144)*2 + sqrt(144))\/sqrt(12)))\/(6*(-2*sqrt(108))\/sqrt(12)*-6).\nAnswer: -sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 8135 = -8087 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99231566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 - 19*s - 25. Let v be h(5). Put -2, v, 207 in descending order.\nAnswer: 207, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2935 + 869 = -p. List the prime factors of p.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 - 25*q**2 = 0 for q.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*s = 248*s - 212*s - 5814 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 314 in 1, -0.3, 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*b + 94*b + 139*b - 62*b - 63*b - 54*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 3*x**4 + 6*x**4 + (20*x**2 + 0*x**2 - 4*x**2)*(4*x**2 - 3*x + 5*x - 5*x) to q*x**3 + a + u*x**4 + l*x + b*x**2 and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4 (c) 4 (d) 10296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqfqaffqy. What is prob of sequence yfff?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.81 + 0.11. Let y = -0.6 - l. Let u be (1 + 16\/(-10))\/(36\/(-100)). Which is the nearest to y? (a) 1 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10662 times -0.2?\nAnswer: 2132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593 + -23?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = 82*f - 77*f. Let w = f + -148. Let a(j) = -j + 1. Let h be a(-1). Calculate the greatest common factor of w and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.58 + 20. Let p = q - 0.27. Round p to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.47. Let k = 1204 - 22874\/19. Sort k, f, 2.\nAnswer: f, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250255080 rounded to the nearest 100000?\nAnswer: -250300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -0.96.\nAnswer: -20.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*y + 40 + 152 = -176. Let n(g) be the third derivative of -5\/12*g**4 - 1\/30*g**5 - 39*g**y + 0*g + 0 + 0*g**3. Solve n(r) = 0 for r.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -9*o + 10*o + 16*x, -5*o + 35*x - 57 = 38*x for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h\/h**20*h*h)\/(((h\/(h\/h**(2\/13)))\/h*h)\/h) assuming h is positive.\nAnswer: h**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2437223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*g**3*p - 56*g**3 + 41*g**2*p + 2*g**2 + 53*g*p wrt g.\nAnswer: -210*p - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 10*v**2 - 5*v - 47. Let s be k(-10). Solve -5*c = -d - 5, -c = 3*c - s*d - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1. Let a(d) = -2*d**2 - 5*d - 7. Suppose -1 = -p, p = 4*j + 2*p + 95. Let c = 9 + j. Let f = -21 - c. Determine f*k(s) + a(s).\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-378)\/(-315)*2\/(-8)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 6. Let g = 42 + -130. Let s = g - -129. What is the remainder when s is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.333592 to 2 decimal places.\nAnswer: -53.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*l + 3 + 309*l + 195*l**2 - 196*l**2.\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:30 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111011100101000000010 + -110?\nAnswer: 11010111011100100111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 976*f**3 + 1245468*f**2 + 3743176*f + 2496736 = 0. What is f?\nAnswer: -692, -2, -1, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/4741776 and -71\/1580592.\nAnswer: 4741776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*v*w**3 - 21*j**2*w + j**2 - 2*j*w**2 + 12*v*w**3 - 833*v*w + 330*w**5 wrt w.\nAnswer: -12*j**2*v + 72*v + 19800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 16*z + 48. Let j = -1 + 24. Calculate the remainder when ((-32)\/z)\/(4\/66) is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1038?\nAnswer: -4152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/4 + k**3 - k**2 - 11. Let t = -46 - -49. Determine m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*y + 6861 - 6861 - 100*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -142044 * -5\nAnswer: 710220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92311475.\nAnswer: 5, 101, 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11184 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.74, 5, -1, -31?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 7*x - 2. Let n be 113\/2 - x\/2. Suppose -6*u + n = -3*u. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w - 5*w - 26*w - 19*w - 48*w. Let p(r) = 6*r**2. Give p(j(k)).\nAnswer: 47526*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (20 - (-14 - -15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1118 and 113\/103974.\nAnswer: 103974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypvyyhhvyyvvh. What is prob of picking 1 y and 1 v?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**4 + h**4 + 331 - 427 wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43\/4 of a micrometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2358*b - 9682*b + 776*b in the form r*b + w and give r.\nAnswer: -11264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812593920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10557*f**4 - 3*f + 269?\nAnswer: -126684*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204 (base 6) in base 11?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*b + 6 = 18, 4*v + 2*b - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.4482 decades in centuries?\nAnswer: 51.74482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/4*(-12 + 0). Find the second derivative of -209*f + 82*f**2 - 7 + g*f + 7 wrt f.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:02 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/21512 - 43055\/666872. Which is the third smallest value? (a) g (b) 115 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 4*u)*(3*u - 6*u + 2*u)*(-294*u + 55750 - 55750)*(-u - 2*u + 4*u + (-2*u + 3*u + 0*u)*(-3 + 4 + 0) + 12*u - 3*u - 3*u).\nAnswer: 4704*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-1)\/sqrt(4))\/(sqrt(108) + (sqrt(108) - (sqrt(108) - (sqrt(108)*-2 + sqrt(108) + sqrt(108)))) + sqrt(108))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094708*m**3 - 1047739*m**3 - 1047306*m**3.\nAnswer: -337*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-5))\/(z\/(((((z*z\/z**(2\/5))\/z)\/z)\/z)\/z))*z**(-2\/9)*z**(2\/11))\/(z**0\/(z**(-1)\/z*z))**(2\/33) assuming z is positive.\nAnswer: z**(1732\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 474119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 35*z. Let f(n) = -19*n. Let s(c) = c**2 + 20*c - 99. Let b be s(-24). Let k(l) = b*t(l) - 5*f(l). Let o(u) = -19*u**2. Determine k(o(d)).\nAnswer: 190*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*l + 2918*l**2 + 11*l**4 - 2918*l**2)*(6*l - 5*l - 3*l).\nAnswer: -22*l**5 - 188*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/117 and -5\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*g - 0*c - 86, -4*c = 2*g - 74. Suppose -227*p - g = -236*p. Solve 4*x - 4*t + 3*t + 4 = 0, -18 = p*x + 2*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 less than -272614.1335?\nAnswer: -272167.1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + (-18)\/(-5). Suppose -l = 4*a - 6*a. Suppose 7 - 1 = a*o. Solve 5*k + 25 = -0*w + 2*w, w = o*k + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a - 4. Suppose 0 = 4*t + 4. Let v be r(t). Let i(p) = p + 6. Let s be i(v). Solve 1 = 3*u - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-6 + 17 - 14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4168143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -508\/5. Suppose 0 = 3*w + f + 62 + 57, -3*w = -5*f + 107. Let n = 119\/3 + w. Which is the second biggest value? (a) 1\/12 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9756 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 18*g**5 + (2*g - 3*g + 0*g)*(0*g**4 - 2*g**4 + 0*g**4).\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 20. Let s = 0 - -2.1. Let n = s + y. Which is the second biggest value? (a) 0.4 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**2 - 2*l**2 + 2*l**2)*(4 + 0 - 5) - 22*l**2 + 9*l**2 + 7*l**2)*(-21 + 44 - 15).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.3 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 20*t + 66. Suppose 0 = 2*w - 12 - t. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2011857*z**6 + 87*z**2 + z - 46 wrt z.\nAnswer: 241422840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and -157.42506?\nAnswer: 126.42506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 9*x**2 + 4*x - 31. What is y(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133606.\nAnswer: 2, 11, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1645336 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obhbhqbhhbhooqb. What is prob of sequence oo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((68 - 63) + (-47)\/8)*2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5989, -5898, -5747, -5536, -5265, -4934, -4543?\n\"Answer: 30*t**2 + t - 6020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13605902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066829974?\nAnswer: 2, 3, 5381, 187909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*994411\nAnswer: -169049.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1231245301 + 150?\nAnswer: 1231245451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 1012*w + 128018 = 0.\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397 + 872*v**2 + 689 - 2690*v**2 + 708.\nAnswer: -1818*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 2*l - 5*l. Let s = l + -96. Solve -5*q = -4*q + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 8081, -15, 4 in decreasing order.\nAnswer: 8081, 4, -15, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1049043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739011730?\nAnswer: 2, 5, 37, 127, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**2\/f))\/f)\/f)\/(f\/f**(3\/11))*(f**43\/f)\/(f*(f**(-10)*f)\/f) assuming f is positive.\nAnswer: f**(520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-390258)\/(-462) + (-2)\/(-7). Let b = -768 + o. What is the highest common divisor of b and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28555?\nAnswer: 5, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 284 = 68. Calculate the lowest common multiple of q and 3.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1189*x**4\/4 - 2788*x - 1604. Differentiate d(k) with respect to k.\nAnswer: 3567*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + c5e12?\nAnswer: c5e10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + 129*n + 95. Let f be a(-32). What is the highest common factor of f and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(55)\/sqrt(5)) + 6*(sqrt(2) + sqrt(2) + 0) - -4*(sqrt(8) + (sqrt(128)*2 - sqrt(8)))\/sqrt(4))**2 + 1.\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:23 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7306 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1413440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175.4 + 17.6. Let s = u + -191. Sort s, -3\/5, 3 in ascending order.\nAnswer: -3\/5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1\/((-2)\/6). Let w(x) be the second derivative of -5\/6*x**3 + 0 + 3\/2*x**2 + 4*x. Let d(o) = -26*o + 16. Calculate g*d(t) + 16*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 - 7514*r**2\/11 + 22344*r.\nAnswer: 2*r*(r - 3724)*(r - 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 n when three letters picked without replacement from qqgqjqgqihqgn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 3.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 + 4*x**2 - 4. Let j(a) = 6*a**3 + 5*a**2 - 5. Give 5*d(s) - 4*j(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**3 + 5*w**3 - 31*w + 53 - 53 + 14*w - 49*w.\nAnswer: -29*w**3 - 66*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 16. What are the prime factors of f(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 3, k: 7, d: 5, e: 3}. Give prob of sequence ke.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210012 + -113?\nAnswer: 2203233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3\/2*m**3 + 0*m**2 + 0 + 212*m. Let h(q) = 15*q**2. What is h(o(k))?\nAnswer: 1215*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 7 + 5. Let m be (1\/3)\/(16\/x). Let v = -1 + 0.9. Which is the closest to m? (a) -2\/7 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 19*z = -12. Let t = -8 - -19. What is the smallest common multiple of t and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 6?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 416 (c) 4\/3 (d) 0 (e) 32 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*1*sqrt(891))*4)**2.\nAnswer: 1728*sqrt(11) + 513232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 0, -1717 = -2*q - 5*m + 303. What is q rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2. Let v(h) = 9*h**2 - 25*h + 4. What is v(p(b))?\nAnswer: 225*b**4 - 125*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + 1. Let v(c) = -40*c**2 - 60*c - 32. Let w(l) = v(l) + 4*x(l). Find r such that w(r) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43421 - -518?\nAnswer: 44040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**4\/5 - 75*q**3 - 2403159*q**2\/5 - 89010801*q + 59554170 = 0.\nAnswer: -285, 2\/3, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-10 + (-7 - (-36 + 10))) - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/36*(-152)\/(-10)*41\/((-1230)\/(-225))?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 5025145*f**2\/3 - 50251375*f\/3 + 41876125.\nAnswer: -(f - 5025135)*(f - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.733 + 34.933. Let z = 2 + 7. Which is the third biggest value? (a) v (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1354680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306527*i**2 + 613087*i**2 - 306482*i**2.\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**6\/3 - 6*h**5\/5 + 7*h**4\/2 + 22*h**3\/3 - 6*h**2 - 16*h + 141. Solve u(m) = 0 for m.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 384*x**2 - 493 - 272*x**3 + 493 + 275*x**3 in the form o*x + r*x**3 + n + z*x**2 and give z.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12273.\nAnswer: 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and 0.142.\nAnswer: -7.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/((-1)\/3). Let g(s) = -5*s + 5. Let t(l) = l + 5. Let j be t(-4). Let f(u) = -2 - 3*u - j - u + 7. What is n*f(b) - 3*g(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*i - 813 = -3*i, 0 = 2*k - 5*i + 555. What is the hundreds digit of 36\/k - 4517\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + 20 + -21 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*f + 7 = 0, 3*f = -5*j - 284 + 273 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.1. Let l = 0.37 - 8.37. Let d = -4 - l. Which is the third smallest value? (a) 1\/3 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 r, and 1 e when four letters picked without replacement from wessrsrsswtr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n**(-4\/3))**(11\/6)*((n*n\/(n**(-3)\/n)*n)\/(n**(2\/3)\/n*n))\/(n**(-1\/2)\/(n\/((n\/(n*n*n*n*n\/(n\/n**(1\/13)*n)*n*n))\/n))) assuming n is positive.\nAnswer: n**(1868\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 69574226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1\/2*f**2 - 2*f + 8. Determine a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67119 - 39264629\/585. What is the common denominator of l and 32\/585?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*q**2 + 8867077*h**2*q**2 - 38084260*q**2 with respect to h.\nAnswer: 9*h**2*q**2 + 17734154*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -176. Let z be (4 - -12)\/2 - (-19 - -59)\/10. What is the greatest common factor of z and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7369a2 (base 12) in base 16?\nAnswer: 1bb50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/16*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, 453, 1938, 4921, 9924, 17469, 28078, 42273?\n\"Answer: 87*i**3 - 34*i**2 + 2*i - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*q - 27*q - 29*q + 2*q - 4 + 4 + 3*q + q - 5*q + (-2*q + 0*q + 0*q)*(-1 - 2 + 5) - q + 2*q + q.\nAnswer: -218*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-26) + 126\/(-26). Let t = 10.5 + -11. Which is the nearest to -0.1? (a) m (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -73. Suppose -2*z = -2*c - 17 + 11, -4*z - 2*c + 18 = x. Determine u, given that -3\/4 + 0*u**2 + 3\/4*u**z + 3\/2*u - 3\/2*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5812 - 0.1712. Let p = -0.48 - -0.29. Let o = k - p. Which is the third smallest value? (a) -4 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14194, -5\/2, 0.2, -1, 6\/5 in decreasing order.\nAnswer: 14194, 4, 6\/5, 0.2, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 730 * 2\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 20. Suppose 2*z + f = 82. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/120 + 41*q**4\/6 + 2*q**3 + 4*q. Let y(b) be the second derivative of r(b). What is the units digit of y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143736771 a multiple of 3961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.697 * -7\nAnswer: -39.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -2)\/1 + 3. Let p(c) = c**3 + 2*c**2 - 7*c - 8. Suppose 0 = -5*o + 5*t + 5, 0*o = 2*o - t + 2. Let n be p(o). Solve 3 = x*d - n*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 346709 = -2*k - 3*k + 346642, -6*l + 113 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.384 millilitres to litres.\nAnswer: 0.075384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9084599.\nAnswer: 83, 109453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -41. Suppose -2*p = 2*p + t. Which is smaller: p or 4\/35?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q, -9 = -h - 5*q + 10. Suppose 0 = -h*t - t + 115. Solve 3*x - 17 = 2*m + 2*m, 3*x = -4*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7413, 14823, 22233, 29643?\n\"Answer: 7410*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*2 + sqrt(77))\/((6*sqrt(55)\/sqrt(5) - sqrt(11)) + sqrt(11)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 211, 345, 505, 697, 927, 1201?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1689\/378 - 7 - 40\/(-16).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*k + 22*k - 46*k - 8)*(4*k + 2*k - 3*k) as p*k**2 + o*k + g and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -107. Suppose -5*z - 3*a - 391 = 0, 0*a + a = 4*z + 306. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.800185 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21774 at most -21725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -167*i + 175*i - 6648. What is the remainder when i is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33608, -1, 1\/13 in ascending order.\nAnswer: -33608, -1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 1, t: 2, g: 5, z: 1}. Give prob of picking 1 e, 1 g, 1 t, and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b + 1. Let k(u) = 2*u**2 + 250*u - 1. Determine 2*j(o) + 2*k(o).\nAnswer: 2*o**2 + 504*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22.9. Let a = 0.7 + y. Sort 5, a, 4\/3 in descending order.\nAnswer: 5, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z + 2. Let s be v(-2). Calculate the remainder when 170 is divided by (-258)\/18*(0 - (s + 5)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1072256?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 148, 418, 938, 1792, 3064, 4838, 7198?\n\"Answer: 14*j**3 - j**2 + 9*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 41*f - 69. List the prime factors of x(20).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -1\/40*n**6 + 1\/6*n**3 + 0*n**5 + 2*n**2 + 0*n + 0*n**4 + 0. Find the first derivative of f(k) wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 5. Let g be m(2). Suppose g*y - 4*q = y + 20, -5*y + 5 = -q. What is the third smallest value in -6, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 2*h + 50 = -26*n, 5*h - 11 = -5*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -39. Let v = h + 54. Which is the nearest to 0? (a) -1.5 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 0.03. Let j = -0.43 - p. Which is the nearest to -1? (a) 1 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33101021 (base 4) to base 14.\nAnswer: -18b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x. Let b(f) = 12*f - 15. Let v(h) = 3*h - 4. Suppose 2*z + j + 25 = 0, -4*j = -6*z + 3*z - 65. Let p(y) = z*v(y) + 4*b(y). Give p(w(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awaw. Give prob of sequence waa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(6\/(-42))*(9 - 10)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96.2 - -102. Let n = -27.2 - k. Let s = n - -36. What is the third biggest value in s, 1\/5, -1\/2, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 14) to base 16\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/44 - (1 - 2). Let x = 3659\/9 + -407. What is the closest to -2 in -1, t, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y = 2*x - 22, 4*y = -4*x + 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -h - i, -2*h - h + 50 = i. Suppose -4*r - 3 = -h. Suppose 2*c + 5 = r*c. Solve c*u = -2*t + 25, t - 6*t = u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*n + 8\/5 - 6\/5*n**3 + 2\/5*n**2.\nAnswer: -2*(n - 2)*(n + 1)*(3*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 985*c**2 - 73100*c + 15540.\nAnswer: 5*(c - 74)*(197*c - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 72. What is the remainder when 125 is divided by h(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, 8013, 26.\nAnswer: -4, 26, 29, 8013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.424505ml to litres.\nAnswer: 0.004424505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6010 - -24037\/4. Let b = -69.3 + 69. What is the smallest value in -2, 0.019, b, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -26126.\nAnswer: 43\/26126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - 442754\/(-84). Let j = 5278 - m. Calculate the common denominator of (110\/16)\/(10\/8 + -2) and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5936 and 7.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61787.71l?\nAnswer: 61787710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -29 - -9 - (30 + -25 - (0 - -3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 - 6837*h**3 + 9329170*h**2 - 18630984*h = 0 for h.\nAnswer: -8003, 0, 2, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - f = -3*n - 8, -5*f = -5*n. Solve -2*c + 4 = -4*t - c, -2*t + n*c = 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003022 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-85)*34*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*x + 32648*v - 32644*v - 28, -x - 227 = -7*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 5*r, -66*r + 45 = 5*m - 71*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11004713?\nAnswer: 11004713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493760?\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29240*l**6 + 8*l**5 - l**2 - 4*l - 437.\nAnswer: -3508800*l**3 + 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q = 435*q + 17*q - 20124. What is the remainder when 1685 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 368 = 3*a. Suppose i = a + 35. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17145383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.22, -1\/8, 1\/10 in increasing order.\nAnswer: -1.22, -1\/8, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 187 = -5*s. Find the first derivative of -13*n - 54*n + s*n + 37 + 29 wrt n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98285 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131529 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2)\/n*n\/(n\/(((n**(-3\/4)\/n*n)\/n)\/n)))\/(((n\/(n*n**13))\/n*n)\/(n**7*n)))**(1\/30) assuming n is positive.\nAnswer: n**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2056, -1752, -1448, -1144?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 113. Suppose 8*j = 7*j + 48. Suppose 12 + j = 5*u. Calculate the highest common divisor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 483*w**3 + 25758*w**2 + 446148*w - 472392.\nAnswer: 3*(w - 1)*(w + 54)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/1260 + d**6\/240 - d**4\/6 + 2*d. Let y(g) be the third derivative of i(g). What is the second derivative of y(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 74*j**4 - j**3 + 26*j**2 + 89961*j?\nAnswer: 40*j**3 + 888*j**2 - 6*j + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 3*b + b. Let f(g) be the first derivative of -g**3 + 5. What is q(f(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*163.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 13*m - 20. Let b be i(-8). Suppose 0 = 4*z - 2*v - 1218, 340 + 887 = b*z + v. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.65 - 20.25. Put -3\/2, 1\/5, x, 1\/4 in descending order.\nAnswer: x, 1\/4, 1\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 35 = -24*i - 5*l, 4*i - 5*l = 19. Let s(f) = -f**2 + 6*f + 8. Let r be s(7). Suppose r = u - 1. Solve -u = v - i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p\/(p\/(((p*p**(8\/3)\/p*p)\/p)\/p)))\/p))**(-2\/15)\/(p**(3\/5))**(-1\/68) assuming p is positive.\nAnswer: p**(299\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3836.372ug to milligrams.\nAnswer: 3.836372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 10, 24 in ascending order.\nAnswer: -9, -1, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1043 + -722. Let u = -320.152 + n. What is u rounded to 2 dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v + 101. Determine q(14).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((966\/56)\/(-69))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (3*sqrt(176))**2 + -3 + -1).\nAnswer: 7925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5 = h. Suppose 4*x + h = -15. Sort 1, 2, x in increasing order.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*w - 593468, 2*w = 7*c + 385679 - 148272. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n + 42 = -35*n. Solve 0 = 4*f + 3*y - 32, 2*f - n = 4*f - 3*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 - 16*c + 94. Calculate s(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*z - 91 = 53, 0 = -5*l - 3*z + 141. Let n be -1 - 10\/l*(0 - 3). What is the hundreds digit of 14 + -17 + (274 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 250.218218.\nAnswer: 255.218218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111011000011001 - -1010110?\nAnswer: 111111011001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -23. Let p = -30 + y. Let c be 40\/(-4)*p\/(-5). What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 3. Let h be q(-5). Let f = -71\/6 - h. Suppose -2*t + t = t. Which is the nearest to t? (a) 0.4 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/14)\/((-154)\/(-176792)*205).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -417.30003922 + 417.3. What is m rounded to 6 dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6839\/30 - -228. Suppose -6*t + 106 - 112 = 0. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-99) - 10\/45. Let t be 4 + -6 + -3 + 0 + 5. Are u and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + -9 + 10 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 + 8*i**3 - 2*i**3 + (0 + 1 + 0)*(3*i**3 - 4*i**3 + 0*i**3) + (i**2 + 7*i**2 - 9*i**2)*(0*i + 0*i - i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-5 + (sqrt(3) + sqrt(12)\/sqrt(4) - sqrt(3)))*-4)**2 - (sqrt(72)\/sqrt(192) - sqrt(6))\/(sqrt(288)*-1))*-6.\nAnswer: -10752 + 30723*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/10)*v*(v\/v**(3\/5))\/v*(v*v**(-2\/5))\/(v**2\/v)*(v*v**(2\/5))**(-3\/8)\/(v*v**(1\/4)*v**(-1)) assuming v is positive.\nAnswer: v**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.940289 or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3))\/2 - (-5)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(637) + sqrt(13))**2.\nAnswer: -9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - 70) + 6 + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 + 4*k + 1. Let u = 0 + -6. List the prime factors of l(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**3 - 3*p**2 + 2*p - 13. Let k be g(8). Let x = 4874 + k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -47. What is the third smallest value in o, -0.08, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24245, -48491, -72737?\n\"Answer: -24246*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13727 is divided by 251?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 61 - 51. Suppose 26*f - 30*f + 27 = -5*l, -2*l + c = 0. Solve 3*m = -v + f + 5, -m + 17 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*j = -9, j - 13 = 3*v - 5*v. Solve -g - 10 = -v*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, 1 h, and 1 r when four letters picked without replacement from krchdhk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 5*x**2 - 17*x - 16. Let a be r(4). Solve t = -5*s + a, -4*s + 15 + 15 = -3*t for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h = 14, -m - 17 = -2*h + 7*h. Suppose m*g + 84 = 4*i + g, i = -5*g + 10. What is the remainder when 79 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(13\/5)*m)\/m**(-28))\/(m**19)**(-7\/2))**(2\/37) assuming m is positive.\nAnswer: m**(981\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**2\/11 - 13202*j\/11 + 14832\/11.\nAnswer: 2*(j - 824)*(8*j - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let a(r) = 3*r. Let b(v) be the first derivative of -5 + 0*v - 1\/2*v**2. Let m(i) = a(i) + 4*b(i). Give m(u(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9026020 >= 9026019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 10*q + 75 = 0, -5*q - 4 = -4*f - 0*q + 56 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/56*4)\/(12\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*u - u + 34, u + 16 = 2*m. Suppose 0 = -4*c - c + m. Let t(i) = -2*i - c*i + 0*i. Let d(k) = -k. Give d(t(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12716 and 23\/356?\nAnswer: 1131724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 183 = -8*i + 44. Solve 25*b = i*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8094 + 11537. Let u = -37 + 58. Suppose -b = -u*z + 799. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1318 + 590 = 18*d. Put -5, 4, d in descending order.\nAnswer: d, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912*s + 909*s = -r + 190223, 0 = s + 5*r + 63445. What is s rounded to the nearest 100?\nAnswer: -63400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -714, -801?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 2)*(-1 + 1 + 2) + (-5 + 0 + 2)*(3 + 9 - 46))*(0 + 0 + v) in the form z + l*v and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76.8 - 90. Let l = f - -9.2. What is the nearest to -2\/7 in -2, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let h(c) = -112*c**2. Calculate h(a) - 6*l(a).\nAnswer: -106*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 5. Let y(o) = -1. Let j(d) = 2*s(d) - 9*y(d). Let f(m) be the second derivative of 2*m**3\/3 - m**2 + m. Give 3*f(q) - 5*j(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 623670.2 days?\nAnswer: 53885105280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81\/4 - -20. Let h = 35531 + -35527. What is the closest to 0.1 in h, 1\/8, q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3285.133 + -0.04.\nAnswer: 3285.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*-81*(-32)\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (504\/70 - 7)*(-1 - -406). Solve -j = -22*h - 59 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11932 and 573672662?\nAnswer: 5966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158079767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*8\/((-40)\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.6 - -25. Let t = 34449 + -34446.6031. Let g = x - t. What is g rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g - 8. Let t be i(4). Let n be 175\/637 - ((-36)\/(-21))\/t. Let z(p) = -p**2 + p + 1. Let u be z(2). Is n at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-1))\/((-3935)\/787)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d**(2\/5)*d)\/d*d)**(20\/3))**(-10)*(((d\/(d*d**2))\/d)\/((d\/d**(-2\/13))\/d))**24 assuming d is positive.\nAnswer: d**(-11792\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447 - 445. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/24 - -7)*-12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*s - 393, -33 = d - 2*s - 135. Let t = d + 0. Let u = t + -108. Is u greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:40 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b*o**2 - 12*b*o - 11*b + o**4 - 16*o**3 + 2*o - 2 wrt o.\nAnswer: -16*b + 12*o**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46192.93 years?\nAnswer: 4619.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2188*c + 7724*c = -1664*c - 208800 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 12 = 11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 1, l: 2, n: 3, x: 1, m: 7}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1728 divide 510884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1428 or -1434?\nAnswer: -1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1162068 and -35\/290517.\nAnswer: 1162068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 397, 873, 1355, 1843?\n\"Answer: 3*o**2 + 467*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 29*d**2 - 64*d - 60. Let w be c(-31). Suppose 0 = -b - 3 + 1, 3*k = w*b + 1132. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/60 - r**4 + 7*r**3\/2 - 18*r**2. What are the prime factors of g(-12)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 22. Suppose 7*k = v*k + 12. Solve -4*j - 5 - 2 = k*t, -4*j = -4*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -21. Let c = j + 47. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 + -302. Let x = -5.4 + 5. What is the smallest value in n, 7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 20.3851?\nAnswer: 815.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149 - 2030*l - 58 + 1141*l wrt l?\nAnswer: -889","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/25 - -6\/25. Put 4, 0, q in increasing order.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22122221 (base 3) to base 9\nAnswer: -8587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -546.792 + 546. Let w = 0.292 + f. Which is the nearest to -0.1? (a) 0.01 (b) w (c) 1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2. Let m(u) be the second derivative of 0*u**2 + 0*u**3 + 0 + 1\/6*u**4 + u. Determine g(m(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*(0*n**2 - 3*n**2 + 0*n**2)*(-292 + 27 - 300 - 103 + 59).\nAnswer: -1827*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.516 + 0.416. Let t = 2 + 0. What is the nearest to 2\/5 in t, -4\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, b: 1, o: 1, v: 2, l: 3}. What is prob of sequence lobv?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19093 (base 15) to base 16\nAnswer: 13cf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-12) + (14 - (6 - -8)). Determine o so that 3\/4*o**3 + 0*o + 0 + 3\/4*o**4 - z*o**5 - 3\/4*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q**3 - 228*q**2 - 14*q + 7. Let m(b) = -5*b**3 - 116*b**2 - 6*b + 3. What is 3*g(l) - 7*m(l)?\nAnswer: 2*l**3 + 128*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:49 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.168 - -0.832. What is the fourth smallest value in -3, i, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -119*u + 124*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 560393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 82814. Let t(f) = 2*f. Give d(t(u)).\nAnswer: 8*u + 82814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l**(1\/2)\/l)))**(-13\/2))**11\/((l**0)**(11\/2)\/((l**8\/l)\/(l\/(l*l\/(l\/l**2))))) assuming l is positive.\nAnswer: l**(465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5322 + 5341. Sort -5, -1, o, 5 in ascending order.\nAnswer: -5, -1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 34*t + 609. What are the prime factors of y(0)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d = -21. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 5 (c) 0.1 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**2)**(-1\/21)\/(a**(-1)*a**(-3\/8))*((a*a**(-8\/7))\/a*a*a**(-5))\/((a\/(a**(-4)\/a)*a)\/a*(a\/(a**(-9)\/a))\/a) assuming a is positive.\nAnswer: a**(-1107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67804.5 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/4)\/((-4)\/16). Let n = -18 + g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 + 7*y + 6. Let q be o(11). Let d = 1063 + q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.299 - 0.499. Let p = x - 79. Which is greater: -1\/18 or p?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2190867t to nanograms.\nAnswer: 219086700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/15*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let j(h) = -11*h**2 - 22*h - 5. Let n be j(-2). Sort -2, r, n, 3 in increasing order.\nAnswer: n, -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326710323.\nAnswer: 3, 36301147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g. Let d(q) be the second derivative of -83*q**7\/2520 - 41*q**4\/3 + 88*q + 1. Let r(a) be the third derivative of d(a). Calculate r(c(b)).\nAnswer: -1328*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 6*c + c**2 + (-3*c + 3*c + 2*c)*(c - 1 + 1) + 31 - 31 + c**2 in the form m + o*c + w*c**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2353221 and 1495?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, -18 in decreasing order.\nAnswer: -0.9, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*3)**2*5 + 3.\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379716360 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 1 + 4\/(-8)*-16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n + 40 = 30*n. Let x = 12 - n. Suppose -x*b + 8 = 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 18740*w**2 + 123736872*w - 340495294832\/3.\nAnswer: 2*(w - 814)*(w + 14462)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/35)\/(40\/(-595)) + -4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = v - 31. Suppose w = -4*n + 5*w + v, 3*n - 34 = 5*w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15\/1214 - -123633\/15782. Let v = -662\/91 + s. Suppose -2*m - 4 = -3*o, 1 - 13 = 2*m + o. What is the third biggest value in v, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1601 + 1607. Let t(n) = -n**2 - 1. Determine t(a).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*r + 4, -g + 12 = -0*g - 4*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*b - 399*b - 2596*b**3 + 185*b**3.\nAnswer: -2411*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3969810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -71187?\nAnswer: -125\/71187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120827 divided by 7.\nAnswer: 17261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 13?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*p + 36 = -128*p. Calculate the remainder when 8241 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23055028, -46110029, -69165030?\n\"Answer: -23055001*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + o - 3 = -0*n, -4*n + 3*o - 9 = 0. Is 3 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1170*a - 430. List the prime factors of c(6).\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:21 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:01 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Solve 3*m = -w*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*u + 1627322 - 1632398 = 0 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1748, 1722, 1694, 1664?\n\"Answer: -y**2 - 23*y + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.309 take away -0.2?\nAnswer: -1.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 3, b: 3, w: 4, u: 1, k: 2}. Give prob of picking 1 z, 2 k, and 1 u.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*l - 1780 + 331, 3*p = 0. What are the prime factors of l?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13411 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.71 + 0.27. Let x = 6 + -5.96. Let v = a + x. Put v, 1, -2\/3 in increasing order.\nAnswer: -2\/3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 66211.\nAnswer: -4\/66211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h**5 + 0 + 0*h + 0*h**3 + 5*h**2 + 1\/525*h**7 - 1\/15*h**4 + 1\/100*h**6. Factor p(b).\nAnswer: 2*b*(b - 1)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 1. Suppose -2*i = -5*i + k + 27, 0 = -k + 3. Let n = i + -9. Does 18 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4. Let w be (-40)\/(-15)*(-3)\/y. Is (-270)\/w*12\/(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -28.36. Round l to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 271.7. Let h be (299\/(-84) - -2) + 2. Let j = -4\/21 + h. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.5, 4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1451 - -20020442?\nAnswer: 20015661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*d**3\/4 - 362*d**2 - 8261*d\/4 - 1089\/2 = 0. Calculate d.\nAnswer: -11, -18\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/10475 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 41 = -3*q, 4*q - 4*d - 52 = -9*d. Solve q*t = 20*t - 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49441977 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 23*u**2 + 56*u - 245. Calculate t(21).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 - 3*f**2 - 3*f - 3. Let i be q(3). Suppose -8*t + 5*t = i. Let r be 21\/(-3)*8\/t. Solve r*o = -5*y + 18, 0 = -y - 2*o - 1 + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 + (-165)\/(-30). Let q = w - 6. What is the third biggest value in -5, 0.05, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26053\/3 - 8765. Let k = o + 81. Let -1\/3*m + k*m**2 + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30687 is divided by 97?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (11\/(-2))\/(4\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 26 - 14*g**2 - 14*g**2 - 9*g**2 + 48*g**2.\nAnswer: 11*g**2 + 19*g - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 1. Suppose -15 = 2*r - 5*r + 2*f, -5*f - 15 = 0. Calculate q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 342, 5\/6, 5 in ascending order.\nAnswer: 5\/6, 2, 5, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 4*u**2 + 9*u + 17. Let c be v(-5). Put 2, c, -5, -1 in descending order.\nAnswer: 2, -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + k)*(4508 + 4334 + 63088 + 12811)*(-3 + 5 - 3).\nAnswer: 84741*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 39*s - 84. Let o(a) be the third derivative of -1\/120*a**6 + 0 - 1\/15*a**5 - s*a**2 + 0*a**3 + 0*a - 1\/6*a**4. Factor o(j).\nAnswer: -j*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 14*y - 91. Suppose 5*s + y + 22 = 0. What is the tens digit of 1*(1 - -100 - (8 + s))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/100 + 3*r**4\/20 + 7*r**3\/15 - 12*r**2\/5 + 5*r - 30. Suppose f(i) = 0. Calculate i.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 25 = 3*d, d + 3*k = k + 11. Suppose 9 + 11 = 2*f. Suppose 2*a + 2*t = -3*t + 8, 4*a - 3*t + f = 0. Sort a, d, 1.\nAnswer: a, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 3*a**4\/4 + 3*a**3 - 5*a**2 + 6*a + 9860. Let n(s) = -5*s**3 - 14*s**2 + 15*s - 9. Determine -5*n(x) - 8*p(x).\nAnswer: x**3 - 2*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 - 990*h**2 + 8709*h - 13482 = 0.\nAnswer: 2, 7, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845 + 6170 - 20751 = -491*c + 14742 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 5*g**4\/3 + g - 83. Let z(b) = -27*b. Give z(t(l)).\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -276. Let h = 521 - 674.1. Let j = o - h. What is j rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 4390888887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-1*15\/25. Let v be (-2 + 8)*d\/(-9). Which is the smallest value? (a) 3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000002279 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64540622 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(504) + sqrt(504)*4 + sqrt(504)))\/((sqrt(150) - sqrt(6) - sqrt(6))\/sqrt(3)*3).\nAnswer: -20*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 543 + -2267\/4. Find the common denominator of 131\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*x + 361*x - 202*x + 39*x**3.\nAnswer: 39*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 - 4*i**3)*(-i - 3*i + 3*i)*(-60426 + 106*i + 60426) + 4*i**5 + 3*i**5 - 5*i**5.\nAnswer: 108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 4, r: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 218713209*h + 47835467791077681\/2.\nAnswer: (h - 218713209)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32 - 10 - (-1 - -5). Solve l = 5*p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9270\/4326*(-42)\/(-175)*5\/3. Factor 0*s + 2\/7*s**5 - 8\/7*s**3 - r*s**4 + 0*s**2 + 0.\nAnswer: 2*s**3*(s - 4)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*56\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 2*p + 4. Let d be (-4)\/p + (-4 - -3). Let s be d - (-3)\/(6\/10). Solve -t + s = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 70 = -4*t, -65 = 3*r + r + 5*t. Let y be (-8)\/(-3) + r\/15. Solve 6 + 0 = y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8067 times -18\nAnswer: 145206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 3:01 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, -1\/2, 5 in increasing order.\nAnswer: -1\/2, 5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - -35?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594408663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 60405, 12 in descending order.\nAnswer: 60405, 17, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-42)\/(-1232)*11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -407*t**3 - 548*t wrt t.\nAnswer: -2442*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - 4*g)*(4*g**2 + 2*g**3 - 4*g**2) + 3*g**4 - 8*g**4 + 3*g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.3 + 51.3. Which is the nearest to i? (a) 0.5 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2865*h + 85962. Give r(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -29. Solve -5*q + 9 = u*m, 3*q + 2*q = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**2. Let w(p) = -p**2 + 3*p**2 - 3 + 3. Determine w(x(m)).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 39*a**3 + a**2 + a. Let j be 16\/4 + (-4 - (1 + 0)). Let p be g(j). Let d = p + 43. Let n(b) = b**2 - 4*b - 2. Give n(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/2278*8\/10?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*(-4)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257*-3.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7\/26443527?\nAnswer: 7\/26443527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 13*g - 5 - 62 + g + 23. Let b(h) = -4*h - 15. What is -17*b(u) + 6*q(u)?\nAnswer: 2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095680 divided by 640?\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z. Let i(v) = 4*v**2 - 2*v. Let b(x) = -4*x**2 + 3*x. Let o(n) = -2*b(n) - 3*i(n). What is g(o(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3\/2, 2\/3, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49577\/4 - -12395. What is the third smallest value in 6, -3, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 6)\/((21\/12)\/(-7)). Let f(k) = -k**2 - 4*k + 2. Let q(n) = n**2 + 4*n - 3. Let a(c) = -3*f(c) - 2*q(c). Give a(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1203592870154630.0000045 - 1203592595788470. Let g = -274366248 + b. Let x = g - -88. What is x rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4eb - -13?\nAnswer: 50e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048010.\nAnswer: 2, 5, 367, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 3*s + 2. Let p(t) = t**3 - 14*t**2 + 2*t - 5. Let d be p(14). Let n = d + -14. Does 10 divide a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 0.1, 538, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 - 2.7. Put 2\/5, -2\/35, y in increasing order.\nAnswer: -2\/35, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6442.016 milligrams?\nAnswer: 6442016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 10 = -h. Suppose -4*r + h = -13. Find the third derivative of -100*b**r + 5*b**2 + b**2 + 88*b**6 wrt b.\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 38 + 33 = -5*t, 2*t = -d - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millisecond in microseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/5 - 832*k**2\/5 + 23924*k\/5 + 51208\/5.\nAnswer: 4*(k - 173)*(k - 37)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 600.34437 + -0.04437. Let n = h - 570. What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120742975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*q - 40, 5*b - 5*q - 65 = 5. Solve -b = 120*f - 126*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*l + 138. Let q = -20 + l. Let h = q + -9. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 4.95. Let o = -28 - -28. Let y = 330 + -329.4. What is the closest to o in 0.1, y, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 50*n - 504*n - 64824 = 336*n for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = -1. Suppose 4*d - 1386 = -c*d. Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2163 + 2?\nAnswer: -2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130030320 - 32?\nAnswer: -130031012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 336 - 336 + 63*p**2 - p in the form b + d*p + u*p**2 and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 24. Suppose -3*w + r*w - 10 = 0. Differentiate -2*g**2 - g**2 + g**2 + 3*g**w - 1 wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1690 times 0.4\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8156.39 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 21. Let r = 46 - l. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrssssrrrrsrsssssrr.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + c + 1, 538*f - c - 66 = 529*f - 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 12. Suppose -z - 9 = -3*h + 1, -h + o*z = -7. Let a(p) = -2 - 3*p + 4*p + 3*p - p**h - 2*p - 2*p**2. Determine a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in 4, -0.3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -3327672?\nAnswer: 3\/1109224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4214178*k**2*l**3 - k**2*l**2 - 13*l**2 + 93358*l wrt l?\nAnswer: -25285068*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 21 = 5*k - 5, -3*k - 12 = 0. Suppose -6 = -q - 2. List the prime factors of ((-54)\/a - 5)\/((-2)\/q).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 2*b - 4. Let q be c(-4). What are the prime factors of q + (1 - (-6)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819293108?\nAnswer: 2, 3, 37, 47, 87181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n\/(n**(-10)*n)*n)))*n*n**(8\/5)*n assuming n is positive.\nAnswer: n**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 2*d**2 - 9*d + 9. Let s be y(5). Let x = 243 - s. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2237 + -1.2237. Let j = -241 - -238. Let w = 0.31 + -0.01. Which is the second smallest value? (a) q (b) w (c) j (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89906?\nAnswer: 2, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25489800 divided by -35?\nAnswer: -728280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -7*b**4\/8 + 12*b**3 + 253*b**2\/4 - 39*b + 394. Factor w(y).\nAnswer: -(y - 13)*(y + 3)*(7*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/9195550 and -81\/42770.\nAnswer: 9195550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 0*n + n)*(-3*n**2 + 4*n**2 - 2*n**2) + 0*n**3 + 2*n**3 + n**3)*(6*n - 1 - 2*n - 3*n).\nAnswer: 5*n**4 - 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37845 and 9234180.\nAnswer: 9234180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/5)\/((-16)\/(-240)))\/(0 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/15)\/2)\/(1\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*m - 21301, -302*m + 307*m - 21311 = -3*p. List the prime factors of p.\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - t - 7, -z + t = 4*z - 16. Factor -4*w**4 - 784*w + 8*w**4 - 101*w**z + 896*w**2 - 15*w**3.\nAnswer: 4*w*(w - 14)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 - 4*q**3)*(13*q**2 + 40*q**2 + 3*q**2).\nAnswer: -112*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 3. Let y be (-5 - 1) + 3 - -1. Let f be h(y). Suppose -155 = -f*k + 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1087.6366 to 0 dps.\nAnswer: -1088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*b = 8, 2*b - 2 = 3*b. Let j(y) = -58*y + 7. Let u(s) = -70*s + 6. Let m(x) = 6*j(x) - 5*u(x). Let o be m(c). Solve -4*k - 12 = o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10187 + 1654463?\nAnswer: 1644276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*b - 45 = 0, 5*r - 4*b = -0*r. Suppose 7*z - r*z = 12. Let k(m) = 4*m - 2*m**2 - 2*m**2 + 3*m**2 + z. Give k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 72650241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84524780 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4875 and 140250?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 - 842*w - 8668. Give m(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5 + 119\/17)*7\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) - (-1 + sqrt(3))*5) + 5)**2*3.\nAnswer: 330*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 2*o + 124. Let g(z) = 2*z**2 + 5*z - 310. Let s(t) = -10*a(t) - 4*g(t). Let d(q) = q + q - 8*q - 25*q. Give s(d(b)).\nAnswer: 1922*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (3 + -1 + sqrt(192))) + sqrt(192) - 3*(sqrt(192) + 1) - (3 + 0 + sqrt(192) + (0 + sqrt(192))*6))**2.\nAnswer: 1152*sqrt(3) + 15616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*h - 441*h**3 + 439*h**3 + 34*h - 19*h**4 - 2*h**2 - 3*h**4 + 2*h**2 + (0*h**2 + 0*h**2 + 2*h**2)*(-2*h**2 - 3*h**2 + 3*h**2).\nAnswer: -26*h**4 - 2*h**3 + 56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from {s: 1, t: 1, z: 2, o: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from rtydddytlrld.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 563522.63 take away -0.13?\nAnswer: 563522.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-1))**(1\/3)*d**(-18)\/d**(2\/5))**35 assuming d is positive.\nAnswer: d**(-609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - g**3 - 5*g**3 + 3*g - 3*g - 2*g**3 + (0 - 3 + 2)*(0 - g**3 + 0) + 4*g**3 + 3*g**3 - 5*g**3 - g**3 + 0 + 0 + (-3 + 3 + g)*(1 - 1 + g**2).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*y - 30330 = -114*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543.9999904 - -544. Round x to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482325519 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 8:51 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 1131*t\/4.\nAnswer: -t*(t - 1131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3867 - 2635. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - 350\/508. Let a = 1795\/762 + y. Find the common denominator of 75\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 10*s = 25, -3*u + 5714 = s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/(-12))\/((-3)\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 436201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117906, 117889, 117844, 117771, 117670, 117541?\nAnswer: 117384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 12*g**2 - 18*g - 21. Determine b(12).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(704) + -2*sqrt(704)*-2.\nAnswer: -2 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/819 + -815\/1638. What is the smallest value in -3\/7, q, 0.0504, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -39*a**2 - a + 122. Let f(o) = -135*o + 1. Calculate f(m(i)).\nAnswer: 5265*i**2 + 135*i - 16469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c**2 + 11*c + 1. Let r be u(-6). Suppose -3*t + 4 + 2 = 0. Let x(b) = -3*b**2 + 2*b + 10*b**t - 10 - b**3 + b. Determine x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -5\/2*f**2 + 10 - f. What is the tens digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 686*g**2*p + 21*g*p - 2*p + 20 wrt g?\nAnswer: 6*g + 1372*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/141489330 and 179\/1380?\nAnswer: 282978660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10095 - 10095.011785. What is l rounded to four decimal places?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x. Let a be (1 - x) + 3 + 0. What is the second derivative of -m**a - 5*m + m - m - m**4 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m - 2*m)*((4*m - 4*m - 2*m)*(-2*m + 6*m - 2*m) + 3*m**2 - 3*m**2 + 2*m**2).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761 divided by -9.\nAnswer: -761\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 4*o - 33. Let a = -48 + o. Solve a*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + -6 - -1 - (-89 + 83)) + (9 - 0)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 - 7*w + 4. Let d be m(5). Let n(t) = -t**3 - 7*t**2 - 7*t + 3. Let q be n(d). Is (-7700)\/(-12) + (-6)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {x: 2, u: 1, z: 2, t: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 18. Which is the second biggest value? (a) u (b) 1.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16896 + -16894. Solve 13*m - 11*m = o + 7, -m = -t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7\/(q\/(q*q\/q**(-2\/15))) assuming q is positive.\nAnswer: q**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -55032 <= -55031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:16 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-6)\/2)*1. What is the first derivative of -9*z**2 + 7*z**2 - 8 - x*z**2 wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106, 210, 310, 406, 498?\n\"Answer: -2*n**2 + 110*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1250531 - 1\nAnswer: -1.1250531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10834 + -0.07501.\nAnswer: 10833.92499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1081\nAnswer: 1\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 618\/17 less than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-75)\/(-12) - 3\/12. Solve 2*y = 2*m - 2, 5*y + h = 2*y + 4*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-71 + 80 - (0 + -8)) - (25 + 84).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2862)\/(-901)*34\/6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 4*u. Suppose u*h - 3*h = 0. Is h not equal to -1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2000\/5000)\/(66\/70 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27657, -222508, -751383, -1781292, -3479245?\n\"Answer: -27835*k**3 - 2*k**2 + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 4*m - 1058, 2*i - 2140 = -4*m. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3415*i - 659267. Give p(-193).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6336 and 13\/90.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 131115?\nAnswer: 13\/131115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4261, 7161, 15021, 30319, 55533, 93141, 145621?\n\"Answer: 413*i**3 + 2*i**2 + 3*i + 3843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15674 + 15674 + 429*x.\nAnswer: 429*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-45) - 17\/(4743\/(-62))) + (-197)\/(-35)?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001 - -101111110111100010111100?\nAnswer: 101111110111100101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9272 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 43 + (-10)\/35 + -1 + (-96)\/(-42). What is the greatest common factor of l and 1188?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-13 - -6) + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 4*n + 360. Suppose -n*b = -20*b + 16. Let g(k) = 3*k**2 + k. Calculate g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -463*q. Let n be g(-1). Suppose -2*f - 128 = 296. Let c = f + n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4385*q - 3668. Let o(g) = 4387*g + 3660. Let x(l) = 3*o(l) + 2*y(l). Differentiate x(a) with respect to a.\nAnswer: 4391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/23935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 29433*a**2\/2 + 353178*a - 432 = 0.\nAnswer: -24, 12\/9811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549632, 3, -3, 106 in increasing order.\nAnswer: -549632, -3, 3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/5 - 3 - -4. Let f = 3.21 + -0.21. Which is the closest to -2? (a) -1\/3 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -42*d - 309. Determine m(-12).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*q**2 + 5*b**3*q - 317*b**3 + 2*b**2*q**2 wrt q?\nAnswer: 4*b**3*q + 5*b**3 + 4*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 3*a + 1. Suppose 0 = -3*p - p. Suppose p = -g + l - 3, g - 4*g + 31 = 5*l. Let t be z(g). What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n - 16. Let b(v) = 1. Let c(u) = -3*b(u) - p(u). What is the first derivative of c(r) wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5110)\/56 - (0 + (-3)\/(-4)). Let p = w + 99. Calculate the remainder when 19 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:30 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -39*t. Let a(n) = 80995*n**2. Determine p(a(g)).\nAnswer: -3158805*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1273*t**2 - 714*t + 714*t + 337*t**2. Let d(p) = 5*p. What is g(d(w))?\nAnswer: 40250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*(-59785)\/29349.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275a (base 15) in base 4?\nAnswer: 2003122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-m**3 + m**3 - 2*m**3) + 82*m**2 + 30*m**3 - 82*m**2 in the form k*m**2 + u*m + a*m**3 + w and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -0.2, 1, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284425607 rounded to four decimal places?\nAnswer: -0.2844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 8 = -2*i + 12*h, 2*i = h - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -49, -140, -319, -616, -1061, -1684, -2515?\n\"Answer: -5*v**3 + v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3334824 and 7992.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2771*v - 1006*v + 793*v)*(v**4 - 2*v**4 + 0*v**4).\nAnswer: -2558*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 2*m**3 + 0*m**3 + ((2*m + 0 + 0)*(3 - 4 - 1) - 1 - 3*m + 1)*(1 + 3*m**2 - 6*m**2 + 0) in the form w*m**2 + b*m + i*m**3 + h and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - 13*v**2 + 4*v**2)*(-27*v**2 + v**2 - 48*v**2) - 29*v**4 - 25*v**4 + 24*v**4 - 44*v**4 as s*v**4 + w*v**3 + u*v**2 + y*v + l and give s.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**4\/24 - 20*y**3\/3 - 8*y**2. Let r(j) = -2*j. Give r(u(o)).\nAnswer: -2*o + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 14*q**3 + 32*q**3 + (2*q**2 + 0*q**2 - 3*q**2)*(4*q - 5*q - 4*q) + 0*q**3 + 0*q**3 + q**3 + (q - q + q**2)*(-2*q - 2 + 2).\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 32 - (-18512)\/(-468) - (-1 - 11)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410\/517*(-4356)\/(-220)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -0.1, -2, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8569.\nAnswer: 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198696?\nAnswer: 2, 3, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 58*q. Let g(y) = -12*y**2 - 104*y + 26. Let n(l) = 2*l**2 + 16*l - 4. Let p(x) = 2*g(x) + 13*n(x). Determine p(o(r)).\nAnswer: 8*r**4 - 464*r**3 + 6728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8*2 + 2. Let f = -1 + i. Let x = -106 - -952\/9. Which is the closest to f? (a) x (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/18 (b) 0.5 (c) -1 (d) 2 (e) -0.01 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = l + 4*l. Let c = l - -8. Let w(z) = z**3 + z**2. Calculate w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2082862 from -17.629.\nAnswer: 2082844.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3724 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100011001001110010?\nAnswer: -100011001001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from xooibfo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (246\/12 + -5)*10. Solve -83 + d**2 + o + 32*d - 80 - 15*d**2 = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48959610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:30 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 2 - -3)\/(4\/50). Let w(i) = -i**2 - 28*i - 73. Let a be w(l). Solve a*v - 10 + 43 = 5*o, 5*v - 3*o + 35 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tjtttjjtjt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let o(x) = x**3 + 6*x**2 - 4*x - 9. Let l be o(-6). Let f(j) = j + 15 - l. What is f(n(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8416637.\nAnswer: 8416637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - g**2 + 2*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 + -1)*(-133 + 138)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:23 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 - -294. Let -414*t**3 + 645*t**q + 121*t**4 + 36 - 75*t**3 - 204*t - 224*t**2 + 115*t**3 = 0. Calculate t.\nAnswer: 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26060.26cm in millimeters?\nAnswer: 260602.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 - 46835*u**3 - 48*u**2 + 9755675*u?\nAnswer: -20*u**3 - 281010*u - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c**(1\/4)\/c*c)\/c)\/c))\/c**(2\/9))**(-5\/7)*(c**(-1\/5)*c\/c**(-1\/2))\/((c*c*c*c*c**3*c*c)\/c**(-2\/11)) assuming c is positive.\nAnswer: c**(-19181\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23806.6 and 1.\nAnswer: -23806.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*y - 20 = 0, 1 = -2*d - 3*y + 16. Put d, 0, 5 in decreasing order.\nAnswer: d, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(1008)*-5 + 1 + sqrt(1008) + 4)**2.\nAnswer: -64768 + 3072*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 13*i**2 + 36*i - 35*i + 2.\nAnswer: 13*i**2 + i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 14*x**2 + 11*x - 22. Is v(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168108018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*((sqrt(84) - (sqrt(84) - sqrt(84)*-3 - sqrt(84))*6) + sqrt(84)))\/(-4*(sqrt(588) + sqrt(588)*3 + sqrt(588))).\nAnswer: 144*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 7*p + 388 - 690 to the form x*p + m and give m.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 10*z - 8*z.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2094 divided by 1482.\nAnswer: -349\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 7 = 1294*b - 1291*b, -b + q + 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32250 times -1789?\nAnswer: 57695250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.448, 0.5, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.5, 0.448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11725 and 9849.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8045.\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3772*g - 23575. Let j(r) = r + 5. Give 4715*j(d) + q(d).\nAnswer: 943*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -20, -31, -42, -53?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.07 + -0.13. Let n = u + -3.8. Put n, -3, -4 in increasing order.\nAnswer: n, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 2*n - n)*((-n**2 + 3*n - 3*n)*(6 - 4 + 1) + (136 - 72 + 18*n - 69)*(-n - 2*n + 0*n)) in the form x + v*n**2 + q*n + r*n**3 and give r.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 + 2 - 2*z + 5*z + 3*z**4 to the form k*z**3 + g*z + f*z**2 + t + n*z**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaaibaaaiaaaiibib. What is prob of sequence bb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 18*u + 5. Let c(i) = -19*i - 5. Let z(b) = 5*c(b) + 6*q(b). Let s(p) = -p. Let r(f) = -4*s(f) - z(f). Is r(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11243888 by -8.\nAnswer: 1405486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 48*x - 24. Let t be s(13). Suppose -5*q = -b - 3*b + t, 300 = 2*b + 3*q. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.31 and -41.\nAnswer: -41.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 6*w**3 - w**3 + 393152*w**2 - 393152*w**2 - 2*w**3 - 5*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b - 101998 = 140442. Round b to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210010 (base 3) in base 2?\nAnswer: 1000001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = n - 2*b, 4*n + 392 - 3036 = 4*b. Let o = 693 - n. Let p be 15\/1 - (1 - 0). What is the greatest common divisor of p and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(((-60)\/35)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.74*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13639296 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/7025?\nAnswer: -6\/7025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 28*y + 10. Let i(v) = -5*v**2 - 2*v + 7. Let g(d) = 135*d**2 + 55*d - 190. Let a(x) = y*g(x) + 55*i(x). Factor a(n).\nAnswer: -5*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452 - 200. Suppose -o*u + 245*u + 1022 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(88) + -3*sqrt(88))*2)\/sqrt(11))**2.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylcc when four letters picked without replacement from {l: 2, c: 10, y: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 14320, 19 in descending order.\nAnswer: 14320, 19, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*c + 81*c + 31. Suppose -c*d + 1262 = -29*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -154, -30, 66, -11 in decreasing order.\nAnswer: 66, -1, -2, -11, -30, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((1575\/240)\/(-21))\/(17\/204)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 21, 36, 67, 120, 201?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 108?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 42\/34801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2249\/(-346))\/(4\/(-8)*1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*h + 18, -5*h + 21*g - 19*g + 72 = 0. Solve 0 = h*i + 68*i - 560 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 27*b**2 + 43*b - 86. Suppose 0 = 11*g + 191 + 40. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34321233 (base 5) in base 12?\nAnswer: 12a091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/3 + 118*b**3\/3 + 239*b**2\/3 + 40*b = 0.\nAnswer: -1, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 0*q**5 - 2*q**5 + (q**2 + 4*q - 4*q)*(2*q**3 - 3*q**3 - 2*q**3).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27*u**2 - 4*u + 139. Let x(j) = 26*j**2 - 5*j + 140. Let r(d) = -5*o(d) + 4*x(d). What is the derivative of r(v) wrt v?\nAnswer: -62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-13)\/i))**(2\/139) assuming i is positive.\nAnswer: i**(30\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007041 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 9*w + 2. Let s(i) = -i**2 + i - 1. Let u(l) = n(l) + 6*s(l). Let z(m) be the first derivative of u(m). What is the tens digit of z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 6 = -2*v - 2*x, 2*v + 3*x + 1 = 0. Let l be 1 + v + 1 + 1. Is -4*(-1 - 19\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 293576.9 days?\nAnswer: 422750736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307978 + -192147. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 + 489\/4. Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**3\/3 + 1470. Let o(u) = -3*u + 589. What is o(x(g))?\nAnswer: -6*g**2 + 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t + 6. Let n(w) = 12*w + 7. Let g(y) = -4*f(y) + 3*n(y). What is the first derivative of g(k) wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12674.\nAnswer: 2, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -9, -16, -23, -30?\n\"Answer: -7*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5245, 5246, 5247, 5248, 5249?\n\"Answer: b + 5244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 0*o)*(-o - 2*o + 4*o) - 4*o**2 - 4*o**2 + 13*o**2 - 5*o.\nAnswer: 4*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/((-6)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:30 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 631418 smaller than 631409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -4, 7, 5 in descending order.\nAnswer: 7, 5, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8535.738 centuries in years?\nAnswer: 853573.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8723\/366 - 2\/(-12) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/(3\/(-63)). Let v = l - 1. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 + 19163*r\/5 = 0.\nAnswer: 0, 19163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -7*a**4\/12 + 2*a**2. Let m = -105 + 105. Let i(p) = 8 + m - 8 - p. Calculate q(i(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 13*b**2 - 68*b + 375. Determine z(6).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*s + 2, -4*o - 2*s + 10 = -10. Let n be 1\/(5 - (0 + 1)*o). Let h(q) = 7*q**3 + q**2 - 1. What is h(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-78) - 3\/9. Let r = 3.1 + -8.1. Put -4\/7, r, x in ascending order.\nAnswer: r, -4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2129878*x - 4500088.\nAnswer: 2129878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 164 + 166 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 38*u**2 - 11*u + 25*u.\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b00be37 - 4?\nAnswer: 5b00be33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 1. Let x = -12 - g. Suppose b = r + 133, -4*b + 3*r = x*r - 532. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116550.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26394 + 64511. Does 47 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169836.\nAnswer: 2, 3, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*h**4 + 76\/7*h + 1\/7*h**3 - 8 - 30\/7*h**2 = 0 for h.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11701, -11667, -11605, -11509, -11373, -11191, -10957, -10665?\n\"Answer: r**3 + 8*r**2 + 3*r - 11713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 23*z**2 - 41*z - 19. Let j(k) = k**3 + 8*k**2 - 5*k + 15. Let x be j(-9). Let d be h(x). Is (-22491)\/(-24) + 85\/d + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62755 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {a: 2, w: 2, c: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -122878265 plus -4.79?\nAnswer: -122878269.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 4 (c) -20\/3 (d) 3\/4 (e) -14.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*(-377)\/(-580) - -5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80258251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5141202 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9345077?\nAnswer: 7, 97, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - v - v**2 + 2*v + 10*v**2 + 20*v.\nAnswer: 9*v**2 + 21*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**6*g)\/g)\/g**(1\/20))\/((g**(-4)*g)\/(g*g**(1\/5)))*(g**8*g*g**(2\/15))\/(g\/g**(-1\/4)*g*g**(-2\/5)\/g) assuming g is positive.\nAnswer: g**(613\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9438 + -9438. Solve o = 6*h - h - 2*a + 21, -4*h - 3*a - 26 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose -29 = -i*j - h, -5*j - 6*h + 4*h = -75. Let z = 152 - 104. Calculate the remainder when z is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802956578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7445 - 25518 - 2*v - 2*v.\nAnswer: -4*v - 18073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009285 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*c + 414 - 1430 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 781*b - 92. Is r(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 44, -9, -3, -12, 4, -0.23, 1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16338480 divided by 8169240.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 89*v**2 - 93*v + 5867. Determine r(-91).\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 14*a**2 + 19*a - 29. Determine y(12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156037598.\nAnswer: 2, 11, 13, 127, 59359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 2*g**5 - 2*g**5 + (-1 + 1 - g)*(g - g + 2*g**4) - g**2 + g**2 - 5*g**5.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 2*p**5 + 4*p**5)*(-7 + 3 + 3).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/3, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 7642 - 3*s**2 - 7049 + 3339.\nAnswer: -s**2 - 11352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, j: 1, n: 2, e: 1}. What is prob of sequence enng?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Let a(y) = 3*y + 27. Let l be a(-7). Let f be (-75)\/10*m\/l. Sort -4, f, -1 in decreasing order.\nAnswer: -1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1377, -2084, -2789, -3492, -4193, -4892?\nAnswer: -5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 7*x - 4. Let a(r) = -r**2 + r - 1. Let m(h) = 4*a(h) - z(h). Factor m(d).\nAnswer: d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let g = 0 - -3. Let r = g - -2. Which is the smallest value? (a) -2\/13 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25147798, -50295599, -75443400, -100591201, -125739002, -150886803?\n\"Answer: -25147801*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + z + 4*z + 7, -3*r = -2*z - 5. Let v(j) = -4*j - 1. Let p(b) = -b + 1. Let t(i) = r*v(i) - p(i). What is the units digit of t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 144*z**2 - 1680*z + 6272.\nAnswer: -4*(z - 14)**2*(z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -175*q + 3. Let d(r) = 340*r + 42*r - 7 - 30*r. Let f(u) = 7*c(u) + 3*d(u). Let y(w) = w. Calculate f(y(t)).\nAnswer: -169*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/2 - d**3 - 22*d**2. What is the hundreds digit of u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*87.563\nAnswer: 437.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(((sqrt(3) + 0)*-6 + sqrt(3) - (sqrt(3) + sqrt(21)\/(sqrt(7)*-3))) + -4 + 2) + 4)**2.\nAnswer: 1088*sqrt(3)\/3 + 4816\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(80\/(-32)*4\/15). Suppose j*p = -p + 116. Calculate the greatest common divisor of 58 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*k - 135*k - 191*k + 19479 = 0 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 7*n**2 + n + 4. Let m be 4*1 - (59 + -52) - 2. Determine k(m).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7263335, -7263334, -7263333, -7263332, -7263331, -7263330?\nAnswer: -7263329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -1.1 (c) 0.4 (d) -0.23 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22189 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-990)\/(-9))\/11)\/(2\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -13 + (21 - (7 + -14))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -5)\/((45\/6)\/(-5)). Let u = 0.7 + 0.3. Suppose -2*k + 4*x = -14, 0 = 5*k + x + 1 + 8. Which is the closest to u? (a) -3 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 11 = -5*m, -3*m - 22 = -r - 27 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:28 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 1\/4, -213235?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 b when four letters picked without replacement from bqqbqbbb?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m + 1. Let b be k(8). Suppose 4*f - b = -3*x + 3*f, -175 = -5*x - 2*f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j + 6*j + 3*j + 19*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 1 (c) -8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 890*t + 4119. Calculate v(-7).\nAnswer: -2111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.7 - 31.86. Let u = 10 - o. Let n = u + -3.66. Round n to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -16. Let p = o - 14. Solve 20 = -p*j + 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/3 - 34074172*i\/3 - 145131149685698\/3 = 0.\nAnswer: -8518543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-64)*(-72)\/(-105)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15385.\nAnswer: 1\/15385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.77487ml?\nAnswer: 0.05577487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 3) - (13496 - 13553)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -841 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4141 - -2?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 454981.07 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 14 = -h, 4*h - 77 = 5*q - 48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 832069327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 46 + 12 + 11 + 12 + 14 - 6*a**2. Let s(g) = 12*g**2 - 5*g - 5. Give 3*s(x) + 5*u(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -612 + 612.289. Let m = -80.148 - -80. Let f = g + m. What is f rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 13 = x - 12, 0 = 4*x + 3*l + 52 + 26 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 41. Calculate the remainder when s(-5) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1183944, 2367855, 3551766, 4735677, 5919588?\n\"Answer: 1183911*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 1440. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 + -110. Factor -a - 81 - 5*f**2 - 1629 + 166*f - 65 + 34*f.\nAnswer: -5*(f - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 326.334 to the nearest integer.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2267 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 34*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s*s\/(s\/(s*((s**(8\/3)\/s)\/s)\/s))))\/s)\/(s*s**(2\/17)))\/((s\/s**10)\/((s\/((s**(-17)*s)\/s))\/s)) assuming s is positive.\nAnswer: s**(1082\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5588.21 days in hours?\nAnswer: 134117.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 521, 709, 11, 0.\nAnswer: 0, 11, 521, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = 4. Find the third derivative of -w**b + 17*w**2 + 0*w**3 + 4*w**2 - 10*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/49620 and -73\/196147860.\nAnswer: 196147860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11.2. Let g = 1.433 + -5.433. Which is the third biggest value? (a) g (b) -23 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w + 136*w = -7*w - 11067 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/(n*n**(2\/19)*n))\/n)\/n)*n*n**(-9\/4)*(n*n*n*n\/n**(-1))**(2\/21))**(-3\/4) assuming n is positive.\nAnswer: n**(-5317\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, r: 8, i: 2}. Give prob of sequence rlll.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*q - 5793 = -329*q + 15818 + 1102 for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11 + (4 + -27 - (-42 + -50)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -674 + 3417\/5. Suppose -4*s + 1322 = -2*s. Let c = 2059\/3 - s. What is the common denominator of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-833)\/14 - 3 - 2\/(-4). Let w = -57 - a. Solve b - 11 = 4*d, 3*b - d = -w - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/12 + 5*t**4\/12 + 194*t**2 + 2. Factor u(k).\nAnswer: 5*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.295 - 12.280571. What is b rounded to four decimal places?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 19*j**3 - 7*j**3 + 3*j**2)*(0 - j + 0) to the form v*j**2 + t*j**4 + r*j + a + l*j**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6889 (base 11) to base 5.\nAnswer: -242201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 0*y**4 + 2*y**4)*(5 - 3 + 0) - 4*y - 5*y**4 + 4*y - y**4 - 2*y + 2*y + (2*y**2 + 3*y - 3*y)*(0 + 0 + y**2).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279\/5 + 56. What is the second smallest value in -5\/3, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s. Give q(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Sort 1\/2, -0.1, i in increasing order.\nAnswer: -0.1, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7884488968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 868 = -3*b, -2*b + 4*b = -4*w + 576. Suppose 0 = 2*r + j - b, 2*j - 292 = -3*r + r. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59303473 to the nearest integer?\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 125, 289, 521?\n\"Answer: 34*f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -452, -891, -1314, -1715, -2088, -2427, -2726?\n\"Answer: r**3 + 2*r**2 - 452*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 36. Calculate the lowest common multiple of 20 and 7\/((-28)\/(-348)) - p.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3198*z - 3201*z - 64 = -3*o - 25, -2*o - 72 = 5*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkii when four letters picked without replacement from {k: 4, i: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*t = 237*t + 36. Solve 3*c = t*w + 8, 2*w = -4*c + 9*c - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156083, -156304, -156653, -157118, -157687, -158348?\nAnswer: -159089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135766048 is divided by 1505.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 2*s + 4. Let v be b(3). Let i = 15 + v. Let u be 110*(-49997 - 12\/i). Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.9396ms in microseconds?\nAnswer: 348939.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0*k**2 - 3\/20*k**5 + 0 + 1\/3*k**3 + 0*k**4 + k. Find the second derivative of v(n) wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0, 377.4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(147))*4*-4 - (-1 + (sqrt(147) - (-2 + sqrt(147))))*5)**2*-5.\nAnswer: -188285 - 5600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**12*b*b)\/b**13)\/((b*b*b**(-2\/7)*b)\/(b*(b\/(((b**(3\/8)*b)\/b)\/b)*b)\/b*b)))**(-3\/14) assuming b is positive.\nAnswer: b**(-321\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1528980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 3*m**2 + 4*m - 1. Suppose -34*k + 120387 = 120251. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 5*j**4\/6 - j**3\/6 + j**2. Let k be y(-1). Let l = -11 - k. Calculate the remainder when 28 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x\/(x*(x\/x**(-3)*x*x)\/x*x))*(x*((x\/(x\/x**1)*x)\/x)\/x)**(8\/5))**(-17) assuming x is positive.\nAnswer: x**(-221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(-3 + (sqrt(17) + sqrt(68))*1))**2.\nAnswer: -90*sqrt(17) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i - 4. Let s be r(-1). Solve s*b = 4*y - 2, 5*b + 0*y + 14 = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9831676 + -1.974.\nAnswer: -9831677.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1931277914 to the nearest integer?\nAnswer: 43946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 11*l)*(-2 + 5 - 1) + 2*l + 3*l - 4*l - 40*l - 1167 + 1167.\nAnswer: -59*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((8\/(-4))\/(-4)). Suppose o*h = m - 0*m + 7, 3 = m. Suppose 4*i - 5*x = 10, 0 = h*i - x - 3*x - 8. Solve i = 4*l + 4 - 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*p - 117 - 109 + 77, -3*p - 103 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 - -75) + (2 - (1 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -206847 and -0.061 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/a*a\/(a\/a**(-2\/15)))\/((a*a\/(a**0*a)*a)\/a*a**(-3)\/a) assuming a is positive.\nAnswer: a**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1437300924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by (1 + -2 - 5) + (6 - -48).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.018535 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11487393859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -142 and -780.70021.\nAnswer: -922.70021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h - 210. Let p be w(-33). Let f(g) = -31 + g - 6*g + 0*g. Let z be f(p). What is the highest common factor of z and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416a7 (base 15) in base 12?\nAnswer: -a001a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 53?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h**2 - 14145*h + 7074 = 0. Calculate h.\nAnswer: -2358, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.7 - 3.3. Let n = k + 18. Is n less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:28 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = 2*f - a, 5*f = -6*a + 7*a + 1051. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 60 + -2 + (-29 - 27 - -64)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3824.1*-0.4\nAnswer: -1529.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 65*o**2 + 243*o + 78. Let p be x(61). Put p, -1, 5, 0, -2 in ascending order.\nAnswer: -2, -1, 0, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14803 to four dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762612.\nAnswer: 2, 3, 103, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 2, y: 4, l: 1}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249011267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91, -92, -95, -100, -107?\n\"Answer: -j**2 + 2*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dniinaidaaiait. What is prob of picking 2 n and 2 d?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:33 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 411729 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**3 + 1141*s + 1141*s + 14 + 1136*s - 2*s**2 + 3*s**2 - 3415*s to the form c*s + z + i*s**3 + a*s**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498*4\/(-14)*7\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n - 26*n)*(3 - 2*n**4 - 3) + n**3 - n**5 + 0*n**3 + 0*n**3.\nAnswer: 51*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*w - 65 = -85, 3*o - 1 = -w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.089, -2, -68237, 4, 1\/4?\nAnswer: -68237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/5))\/c**10)\/(c*c\/c**(1\/4)*c**(-9)) assuming c is positive.\nAnswer: c**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14466, 22078, 29690, 37302?\nAnswer: 44914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*s**2*w + 38*s**2 - 720*s*w + 5*s - 2*w + 2 wrt s.\nAnswer: 54*w + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1942)\/(-220) - (-1 + 9 - 1580*7\/1400)\nAnswer: 96\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3353.841873 and 0.1.\nAnswer: -3353.741873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 15736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 29*z + 52. Let n(w) = -7*w**2 - 59*w + 105. Let y(o) = 4*n(o) - 9*s(o). What is the smallest common multiple of 12 and y(11)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -1805219.\nAnswer: 51\/1805219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -46 + 5*q**3 + 4*q + 25*q**2 + 1 + 11*q = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igz when three letters picked without replacement from {i: 5, z: 4, g: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 120. Let x = 167\/2 + v. Let p(w) = -w**3 - 12*w**2 - 17*w + 4. Let t be p(-2). What is the smallest value in 1, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Let o(g) = -g**2 + 19*g + 225. Let u be o(-8). Suppose -3*z + 0*z - 21 = -k*q, -3*z + q = u. Let a(b) = -b**3 - 3*b**2 - b + 2. What is a(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724956037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -750, 0, 2\/7, 2, -3, 2\/305 in descending order.\nAnswer: 2, 2\/7, 2\/305, 0, -3, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 25*q + 4*i + 1605, 0 = -5*q + 5*i - 1650. Sort q, 1, 3 in increasing order.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102566, -205133, -307700, -410267?\nAnswer: -512834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43871.175 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 21)*(4 - 2*o**3 - 4 + 4 - 4 - 5*o**3 + (-3*o**2 + 5*o**2 - o**2)*(3*o - 3*o - 2*o) + 3 + o**3 - 3 - 3*o**3 + 4*o**3 - 3*o**3).\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + ((sqrt(288) - sqrt(18) - sqrt(18))\/sqrt(9) - sqrt(2))*-6 + ((2*sqrt(32))**2 - (sqrt(2) + sqrt(6)\/sqrt(3)*4)))*-1.\nAnswer: -620 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -135067.\nAnswer: 10\/135067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 8*w**2 - 30*w - 13. Let a be h(-9). Calculate the greatest common divisor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 125 = -5*h, 22*a = -169*h + 165*h + 28 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 2792 = -108. What is the highest common divisor of a and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/r**(-1\/4))\/r*r))\/r*r\/r**(1\/6)*r\/r**12*r\/(r*r**(-13)) assuming r is positive.\nAnswer: r**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h + 2 + 187*h - 2 + 271*h.\nAnswer: 366*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1041834 + -5?\nAnswer: 1041829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 18. Calculate the greatest common factor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/5)\/o)\/o)\/(o\/(o**(-4)\/o)) assuming o is positive.\nAnswer: o**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2166 - -2166.5. What is the third smallest value in -4\/3, k, -3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 524*h + 2651. What is o(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -901*p + 906*p, -f = -4*p + 44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - r = -3*m + 3, 0 = 3*m - 2*r - 11. Calculate the least common multiple of 9 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572398087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 14*q**2 + 11*q + 63. Calculate t(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18097, -36018, -53577, -70594, -86889, -102282, -116593?\nAnswer: -129642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 1, -2358, -34\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000523426 to 7 decimal places.\nAnswer: -0.0000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 5. Let o be f(-4). Calculate the common denominator of -46 and o\/60*-31*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-322)\/(-28))\/23*4\/28*3.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2136883?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 48 = -m, m = 4*l - 0*m - 198. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1189, 1185, 1181, 1177, 1173?\n\"Answer: -4*f + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/2 + (9 - -2). Let y be 4\/q - (1 + (-108)\/16). Solve 2 - y = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 6, y: 1, s: 4, u: 2, w: 4}. What is prob of picking 2 u and 1 w?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101000 - 1?\nAnswer: 100000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.643816ml to litres.\nAnswer: 0.002643816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.842 + -4.158. Which is the second smallest value? (a) 126 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.36831 + -13.\nAnswer: -132.36831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.5 and -1.9.\nAnswer: -16.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from pbygabcy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**11))*u))**(-28\/3)\/((u*u**9)\/(u**(-4\/7)*u)) assuming u is positive.\nAnswer: u**(-2161\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 83*s**2 + 2. Let n(z) = 5*z - 3. Let m(b) = 2*b - 1. Let l(w) = 6*m(w) - 2*n(w). What is f(l(y))?\nAnswer: 332*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 934 in -1\/12, -0.5, 274, 3, 1\/10, -2\/5?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 18 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8*(u**(-1)\/u)\/u)\/(u*u*u**(-1\/5)*u*u*u**(1\/2)) assuming u is positive.\nAnswer: u**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-198)\/(-120)))\/((-16)\/4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1528\/7 or -0.7?\nAnswer: 1528\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36466 - -39071. What is the remainder when z is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207.6 - -208. Sort 1, -35, k.\nAnswer: -35, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/19 - 216*z\/19 - 896\/19 = 0?\nAnswer: -4, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(330))\/sqrt(6))\/sqrt(5) + (sqrt(396)\/(-2*sqrt(9)))\/sqrt(4))*2.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100512 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 18. Let d be o(9). Suppose d = x + 1 - 4. Find the second derivative of 4*j**3 - 3*j + 4*j**3 - x*j + 5*j wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522830.\nAnswer: 2, 3, 5, 23, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - 2*p + 1. Let a(y) = -2*y**3 + 3*y**2 + 3*y - 2. Calculate 2*a(r) + 3*w(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + 2 - 2)*(2*o**2 + 0*o + 0*o) - 6*o**3 - 5*o + 5*o)*(11 - 15 - 56 + (0 + 3 - 5)*(2 + 1 - 2) + 3 - 1 + 1 + 0 + 1 + 1).\nAnswer: 228*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*n - 367*n = -53048. Does 133 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 6 = a, -5*a = -20. Suppose 0 = -0*u - u + 7. Let o be (-4)\/10*(-3 - 7). Solve o*h - 5*i = u, i + 7 = h + s*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/13*10\/15. Let a = 7 - 12. What is the smallest value in a, j, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12455)\/564)\/265*72\/(-30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + 18 + -23 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71\/4 of a kilometer?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r + 54 - 1201. Suppose -r*z + 2928 = -3510. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 44 = 4*i. Let n be (5 + 0)\/(i - 7). Suppose 0 = n*j - j - 12. Calculate the remainder when 11 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -39847*h. Let j(k) = -7*k**2. Calculate j(s(r)).\nAnswer: -11114483863*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y - 3. Let l be f(5). Let j(t) = t**2 - l + 4*t + 2 + 0 + 3. Let g be j(-5). Solve 6*h - 3 = -2*a + 5*h, 3*a + g = -4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-3 + (7 - 3)). Let b(q) = -q**2 + 4*q + q - p + 2*q + 0. Is 7 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -128. Let z = v + 48. Suppose -z*g = 3*j - 9, -7 = 2*g - 2*j - 1. Solve g = q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 11*l**2 + 7*l + 6. Let x(h) be the first derivative of h**4\/4 + 3*h**3 - 3*h**2 - 5*h - 43. Let m(p) = -4*g(p) - 5*x(p). What is m(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*s = 0, 3*s = 5*x + 18 - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8123476 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034194 and 42581.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63485, 126977, 190469, 253961, 317453?\n\"Answer: 63492*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-1) + -131 + 13020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1155*d - 2. Let h(v) = -278*v - v**2 + 164*v + 114*v. Determine h(n(g)).\nAnswer: -1334025*g**2 + 4620*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -n - 6, -6 = 5*f - 26 + 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119351134?\nAnswer: 2, 7, 317, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -29284\/325 and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22734 = 18*r + 22302. Which is the nearest to -2? (a) -2\/13 (b) 0.5 (c) r (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -17, -3 in ascending order.\nAnswer: -17, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*j = 456, -2*o - 3*j + 226 = -j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 8. Let g be l(-6). Solve -d - 7*d - 2*d**g + 0*d - 8 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467638347 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 + 9 = 0. Suppose -4*l + t*j + 32 = 0, 4*l + 2*j - 16 = -0*j. Solve l = -0*u - 3*u, 16 = -4*i + 2*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 1) + (35 - 157 - -56)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 279, 403?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - v)*(-3*v + 0*v + 4*v)*(-5*v + 3*v + v)*(0 - 4 + 5)*(-303 + 79*v + 303).\nAnswer: 79*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -5 + (-14 - -8) + 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-11 - -8) - (-1 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.899629 - 21.9. Round m to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**5\/30 + u**4\/3 - u**3 + 35*u**2\/2 - 5. Let g(o) be the second derivative of b(o). Factor g(m).\nAnswer: -2*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*c + 68, c - 4*c + 47 = 2*n. Calculate the common denominator of (-177)\/17*n\/240 and -65\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 173*p + 3791. Calculate g(-68).\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let l = -24.1 - -31.1. Which is greater: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 divided by -550?\nAnswer: -677\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(6\/11)*m)\/m*m**(-2\/25))\/((m\/(m*(m*m\/(m\/m**8))\/m))\/(m\/m**(-3\/4))))**(-8\/7) assuming m is positive.\nAnswer: m**(-22474\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/(1\/(-100)). Let t(l) = -27*l. Let i be t(-6). Let p = i + k. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 12. Suppose z + v*z + 3551 = 4*i, -4*z + 4449 = 5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527195?\nAnswer: 5, 97, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -36, -44, -52, -60?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/18 - 349*r**3\/9 - 116*r**2 + 440*r - 1. Factor t(l).\nAnswer: -2*(l + 1)*(l + 348)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*n + 37, -2*y = n - 8 - 21. Suppose -9 = -4*q - 4*v + 11, -2*q + 2*v + 6 = 0. Calculate the lowest common multiple of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from {k: 2, t: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 11*z + 28 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19\/(627\/88946) - (-8)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-45)*3 - -4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42938 is divided by 21465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwn when three letters picked without replacement from {n: 7, c: 4, w: 6}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2*u)**4\/(u**(1\/5)\/u**(-17)) assuming u is positive.\nAnswer: u**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, -42, -1\/10?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12000*m**3 - m**2 - 6*m - 5. Suppose 3*r = 3*c - 3, -4*r - 5*c + 3*c - 28 = 0. Let a be w(r). Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from uzluzzuzlllzuzlluzll?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/14))\/x*x\/x**(14\/5))\/(x*x**(-13))**(2\/79) assuming x is positive.\nAnswer: x**(-9459\/5530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*a - 9*a**2 - 80*a - 19*a**2 + 19*a**2.\nAnswer: -9*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 701 + 59. Suppose 0 = 5*q + 4*f - u + 46, -q = -2*f - 64. Let z = -13 + q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603583 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1401 - 942. Calculate the highest common factor of r and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/3 + c**2\/2 - c - 448. Let s(q) = -q**2 + 2*q - 2. Calculate -2*n(f) + s(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 67 = -3*v, -l - 4*v = -33 - 38. Let q be (-21 - -11)*5\/(-2). What is the greatest common divisor of q and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 854, -1\/5, -0.5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -5 - (-11 - -11). Let l(h) = 4*h - 4 - c*h + 14*h. Let p be l(1). Solve v - 4*f = -1 + 6, f + p = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/48 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2766 - 16759a?\nAnswer: -164934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 + 2*a + 110221. Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - 2) - (-328 + 320)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7 + 23. What is the remainder when 26 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 5 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 5}. What is prob of sequence uuqu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {q: 3, g: 2, j: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17572.7*22.\nAnswer: 386599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d + 21. Let v = -4602 - -4599. Let t(w) = w - 6. Let x(l) = -2*l + 12. Determine d*t(y) + v*x(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-880)\/(-77))\/(228 + -230).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 2*q - 1. Let n be z(2). Let p be (n\/2)\/((-3)\/(-44)). Let b = -12 + p. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 103163181\nAnswer: 4\/103163181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fajj when four letters picked without replacement from {a: 1, j: 2, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h + 57 = f, 0 = 3*f - h - 143. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001546274 rounded to seven dps?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = 81. Let w be 2\/(o + 6 + -4). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-32) - (-471)\/660\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 18. Let m(h) = 13*h - 114. Let p(b) = -3*m(b) + 19*w(b). Let c(x) = -1. Give 4*c(j) + p(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (3 - 0)\/((-12)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320)*-1 + sqrt(320) + (sqrt(320) - ((sqrt(320)*-1 - sqrt(320))*6 - sqrt(320)) - sqrt(320)))**2 + -2 + (-2*(2*(sqrt(720) + 0) + -2))**2.\nAnswer: -384*sqrt(5) + 104014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*m**2 - 6 - 36*m**2 - 1.\nAnswer: -52*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*b - 4*j + 22, 0 = -2*b + 2*j + 18. Let o = b + -1. Calculate the smallest common multiple of o and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52194576*c**3*l**3 - 3537991*c**2*l - c*l**3 wrt c.\nAnswer: -313167456*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*n - 5*o, -3*n = 5*o - 32 - 42. Suppose -5*l - 55 = b - 6*b, 3*b - 5*l - n = 0. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Let b(o) = -o**3 - 2*o - 1. Let w(s) = 3*s**3 - 3*s**2 + 8*s + 8. Let v(p) = f*b(p) + w(p). Suppose v(t) = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(128) + -2) + 5.\nAnswer: 1 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 2242?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 15) in base 6?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 17 = 5*n. Let y be 3\/(-2)*8\/(-3). Suppose -y*c + 255 = -c. What is the greatest common factor of n and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*s**4 + 2*s**2 - 8*s wrt s.\nAnswer: 5136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11143\/15 - -743. Let w = 5\/28 - -1\/4. Which is the smallest value? (a) 0 (b) -5 (c) w (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b298?\nAnswer: b293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532443 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: What is the remainder when 1453 is divided by 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -9*g**4\/4 - 4*g**3 + 51*g**2\/2 + 18*g + 200. Find h, given that a(h) = 0.\nAnswer: -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(14\/28). Solve 4*b - 4*j + t = b, b - 25 = -5*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3 = 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(3\/(-4)). Let i = -4 + 10. Let z be (-3)\/i*2 + 2. Put -3, z, g in descending order.\nAnswer: z, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009330 rounded to the nearest one thousand?\nAnswer: -1009000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(3*u - 1 + 1) + (-u + 0 + 0)*(-4 + 3 + 0) + 2*u - 6*u - 3*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -132. Solve -n*c + c + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.03\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 279817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-397*d**3 + 193*d**3 + 187*d**3)*(4 - 2 + 2) as z*d**3 + q + l*d + w*d**2 and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 6. Let n(i) = -4*i**2 + 43*i + 11. Let r be n(11). What is c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-84))\/((-3)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/i**(-2\/5)*i*i**(-2\/9)*i\/i**(1\/6))\/((i**1*i*i**(-1\/2))\/((i\/(i*i**(-2)))\/i**(2\/11))) assuming i is positive.\nAnswer: i**(421\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*u**4 + 51611*u**2 - 8*u - 601024 wrt u.\nAnswer: 2856*u**2 + 103222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/19)*k*k**(5\/6))**19\/((k*k**(2\/3)\/k)**(1\/2))**(-2\/15) assuming k is positive.\nAnswer: k**(3319\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-4\/9))\/d)\/(d*d\/(d*d**(-1\/6))))\/(d**1)**28)\/((d**(-2\/7))**(-22)*(d**(-2\/3))**(-3\/13)) assuming d is positive.\nAnswer: d**(-57595\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 9*q**2 + 8*q - 15. What is the remainder when w(9) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0009 + 7.9991. Which is the biggest value? (a) 4 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1533 equal to -5187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 129*i + 646. Let s be u(-5). Solve -o - p = -s, p = -3*o - p - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. Suppose -3*t - 3*l = 15, -21 = t - l - 2*l. Let n = -4 - t. Solve 7*z + 18 = 3*g + 4*z, p*z = n*g - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0.2. Let f = 4 + -3. Let w = f + p. Round w to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 + 3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*12*(-695)\/4170*4\/(-9)*3\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 24*l + 420 = -45*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 891964*t**3 - 3*t**2 - 808161 wrt t.\nAnswer: 5351784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 1, k: 1, t: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17466*g**2*o - 10*g*o + 69*o wrt g.\nAnswer: 34932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 30. Suppose 46*q = 45*q - 5. Let g be h(q). Suppose 3 = -d - 3*i, g = -4*d - i - 4*i - 5. Solve -x = -d*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let y be 77\/7 + 24\/(-3). Suppose -y*w + 3*l + 207 = 0, -l - g*l = 2*w - 131. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.732 - -93. Let h = -2.268 + m. Let b = 2\/59 + -67\/236. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.7 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**2\/2 + 62*i + 300. Suppose 0 = -0*v + 4*v. What is the least common multiple of 16 and a(v)?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d - 104 + 212. Let w(n) be the first derivative of 0*n**3 + d - 4\/5*n**5 - 1\/2*n**2 + 0*n + 0*n**4. What is the second derivative of w(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -98, 723351 in increasing order.\nAnswer: -98, -2, -1, 723351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let p = -3 - -7. Let l = p - 4. What is the second smallest value in l, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*-3*sqrt(6)*2)\/(sqrt(9)\/(sqrt(3) - 1*sqrt(3) - sqrt(3)) + sqrt(192)) + 0).\nAnswer: -36*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(343) - (0 + sqrt(343)))*-2*5*-4 + (-5 + sqrt(343) + -1 - -6*1*sqrt(343)))**2.\nAnswer: -16843 + 588*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 29*y - 160. What is the lowest common multiple of 68 and j(6)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 2*o - 2. What is the hundreds digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 12*v - 9*v + 186 - 209 = 2*d + 3*d, -9*v = 3*d + 75 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36093146807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q)\/(q*q**(-5\/3)))**(2\/25) assuming q is positive.\nAnswer: q**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/30 - 19*j**4\/24 + 3*j**3 - 2*j**2 - 9. Differentiate b(k) with respect to k.\nAnswer: -4*k - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651661287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - j + 2*j + 121*j**3 + 17 - 240*j**3 + 121*j**3 as v*j + y*j**3 + a*j**2 + t and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.0402396 + 56315?\nAnswer: 56334.0402396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002064988051 to 6 decimal places.\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -42. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -11333?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 883*z**2 + 438853*z + 1000. Give g(-497).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k + (0*k + 2*k + 0*k)*(-1 + 3 - 3))*(-11917*k**2 + 20 - 12199*k**2 - 18 - 2).\nAnswer: 24116*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*h + h + 7, -5 = -h - k. Suppose h - 5 = 4*j. Put 1, -2, j in ascending order.\nAnswer: -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s + 12 = 0. Let u(q) = 2*q**2 + 13*q - 17. Let n(k) = k**2 + 6*k - 8. Let a(r) = s*u(r) + 7*n(r). Let p = 44 + -48. Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -5*sqrt(320)*2)\/(2*sqrt(1440) + sqrt(1440)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231881*z + 4 - 5 + 1 - 1231882*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 + 5.299805. Round f to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347968 or -347971?\nAnswer: -347968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 7. Calculate the remainder when 92 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -y - 4*y + 77, u = 3. Let w = 2 + -2. Solve -7*g + 3*g + y = w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 - 7*d - 7. Let f(y) = 4*y + 16. Let u be f(-6). Let w be c(u). Calculate the remainder when (-1 - 14)\/(0 + 5\/w) is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 1614\/6 - ((-162)\/(-270))\/(2\/(-30)).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*s + 5*s + 1279, -4*s = -l + 1711. Let g = -430 - s. Put 0, -27, g in descending order.\nAnswer: 0, g, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2161 - 4197\/2. Let h = -62 + d. Calculate the common denominator of h and -53\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -54, -59, -60, -57, -50, -39?\n\"Answer: 2*j**2 - 15*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 3\/5, -31, -3\/7, 23.35, -2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9096384 and -24?\nAnswer: -218313216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1210)\/(-1452)*(-722)\/(-40) + -15?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2231637 and 40179.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49705600 a multiple of 2450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46496 divided by -16.\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119868, 117895, 115922, 113949, 111976, 110003?\nAnswer: 108030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -37*q**3 + 2*q + 1. Let l be b(-1). Factor -20 - 4*o**3 + l*o**2 - 12 - 72*o + 48 - 16.\nAnswer: -4*o*(o - 6)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/14 + 290\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -73. Solve i = 2*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 0 + 0 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 3, v: 3}. What is prob of sequence uuvu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + -0.04. Suppose 0 = 12*t - 4*t - 8. What is the closest to t in -5, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56918 - 18789. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 22*p**2 + 19*p - 76. Let b be q(4). Let o = -146 + b. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 786288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -132?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/160*(-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 - 5*m - 9. Let s be o(-2). Let n = -53 + s. Solve 4*k + k + 10 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*w - 3 = -4, 5*w = -5*g + 5. Suppose -g*x + 21 = x. Suppose 0 = -x*s + 6*s + 2. Solve 4 = -2*u - s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740733*g**3 + 740725*g**3 - 2222206*g**3 + 740715*g**3.\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + -18 - (-884 + 968)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 8*x - 9. Let o(q) = q**3 - q**2 - 4*q + 4. Let f be o(3). What is the units digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3731308233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -1.1, -16\/7, 0.1, -3, 0.18, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(30\/(-5) + 14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1590, -11, 4 in descending order.\nAnswer: 1590, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (490\/(-280))\/((-7)\/8). Solve w*y + 8 = 0, 5*u - 3*u + y + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0611178 millilitres?\nAnswer: 0.0000611178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/501317 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.83758 seconds in hours?\nAnswer: 0.03912155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -10, -5, -117, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k - 3*k + 3367. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:39 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 325130718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404 a factor of 2231640304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlqvcmv. What is prob of sequence xc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137735 - 92452. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 i when four letters picked without replacement from {l: 6, i: 4, a: 1, b: 3}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 31. Let v = 5 - 10. Sort v, 0, m in descending order.\nAnswer: 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -46. Which is the closest to x? (a) -0.4 (b) -5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.9, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 7. Let z be w(2). Let m(p) = 9*p**2 + 3*p - 4. Does 30 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 105 = 0. Suppose -3*c - y = -42*d + 47*d, d = -c - 9. Sort -15, -8, c in ascending order.\nAnswer: -15, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1255151?\nAnswer: 1255151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 378129 or 0.13?\nAnswer: 378129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 2.\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1480.8024 + 1482. Let d = 1.2 - i. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y + 177. Is a(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 61. Suppose 69 = h*k - 326. Let n be (k\/(-2))\/(1\/(-2) - -1). Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (7 - (3 - -4)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*c = 7, -4*n - 24 = -143*c + 147*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 579000 to the nearest ten thousand.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536748.1 days to minutes.\nAnswer: 772917264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 37548?\nAnswer: -37557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1432*j + 12893. What is k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 422, 420?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50345, -100697, -151075, -201491, -251957, -302485, -353087, -403775?\nAnswer: -454561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -9 + (-23 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and (0 + -158 - 3)*2\/(-60)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -40. Let k = f + -31. Find the second derivative of 2*g**k + 3*g + 9*g + g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29810811*s**5 - 42*s**2 + 3145*s + 23 wrt s?\nAnswer: 1788648660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by 470?\nAnswer: 107\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-54)\/936 + ((-22)\/(-8) - 3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 15*p**2\/2 + 12*p - 7. Let r(a) = a + 3. Let l be r(0). Does 20 divide j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 25165941*n + 25165938 = 0. Calculate n.\nAnswer: -8388646, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5009 = -20*f + 29631. Let q = 11635 + f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2*s, -30 = 102*k - 106*k - 5*s. Let r(v) = 4*v**2 - 3. Let u(x) = -2 + 10*x**2 - 3 - 3*x**2. Give k*r(h) - 3*u(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 9:52 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 + 250*y - 1. Let b be a(-50). Is 2\/9377 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*1006\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(135) + (sqrt(135) - sqrt(135)*-2)))\/(sqrt(405) + sqrt(405) + sqrt(405) + -1*sqrt(405)))\/(-5*-2*sqrt(1089)*2))**2.\nAnswer: 1\/13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 2\/(4\/18). Suppose -h + 40 = -w*j, 5*h - 145 = -3*j + 91. Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 9. Let b be w(7). Factor 2*q**b - 4*q**3 + 2*q**2 + 10*q**3 - 2*q.\nAnswer: 2*q*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -n - 2*c + 170, 145 = n + 4*c. Suppose -n = -6*r - 57. Suppose 3*u + r = 6*u. Calculate the smallest common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3\/c*c**(-1\/3))\/(c\/(c\/c**(-3))*c*c**4) assuming c is positive.\nAnswer: c**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(136) + sqrt(136) + -2*(sqrt(136) - sqrt(136)*2) + sqrt(136) - sqrt(136))*2)\/((sqrt(16)\/sqrt(2)*-3 + sqrt(8))*1*-3).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 75*d - 270.\nAnswer: 5*(d - 18)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 6 + 18. Suppose -28 = -r*n + 138. Calculate the remainder when 661 is divided by n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15517.78823 to the nearest 100.\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*v - 4*n + 5, 2 = -v + 5*n. Let j be 20*-10*v\/(-24). Suppose -j = -3*l + 26. What is the highest common divisor of l and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 2*u + 18. Suppose -2*t + 4*t = -4*h - 8, 0 = 4*h + 16. Does 3 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -10) - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1884 - -2081.4. Round j to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 7, -1\/3, -57 in increasing order.\nAnswer: -57, -1\/3, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:54 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -10.\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245481 is divided by 1244835.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c - 96 = 0. Let t = -20 - c. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 2 j when four letters picked without replacement from rkgyrkggkjkgjggrg?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2, 8*a - 3*a - 4*q = 18. Let u be a - ((0 - -2) + 0). Suppose u = 3*m - 12. Put m, 2, 3 in descending order.\nAnswer: m, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 1946*j + 85 - 36.\nAnswer: 1946*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 584350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/43 and 50\/16645429.\nAnswer: 16645429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -34.2, -44.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*m = m - 14, -4*s - m + 17 = 0. Suppose -j = s*w - 347, 5*j + 833 = 5*w + 268. Suppose -2*q + w = -11. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319880549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3856675591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((sqrt(480) - (sqrt(480) + sqrt(480)*2*6))*6)\/((sqrt(66)*1)\/sqrt(11) + sqrt(750)\/sqrt(5)).\nAnswer: -288*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*v**3 - 2 + (-2*v**2 + 4*v - 4*v)*(2*v - 2*v - 3*v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*i + 20001 = 0, 33*i + 36 = 37*i. Does 38 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/180)\/(1\/(-12)*-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/(1\/63). Suppose -14*k + a = -11*k. Suppose 2*v - 52 = -0*v. What is the remainder when v is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104 and -0.054.\nAnswer: 103.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 685*x + 68718. Calculate z(-105).\nAnswer: -3207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.45801 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3309*k = 3291*k + 216 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 63 and 47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31599408*r**3*s**4 + 471*r**3*s**2 - r*s**2 + 1025*r*s + 8*s**4 - 7*s**2 wrt s.\nAnswer: 758385792*r**3*s + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-615600)\/(-700))\/38)\/((-3)\/(-7)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {g: 2, l: 8, b: 5}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30780 (base 9) to base 13\nAnswer: 9333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 14*s = -9*s + 392 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-7 + -27)) + -32.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/20)\/((-2)\/(-10)). Let s = 0 - b. Let y = -2072 + 2076. Is y at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -49, -86, -149, -244, -377, -554, -781?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49268 is divided by 1226?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*a = 141*a - 14302 - 20564 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 762.1 - -290.\nAnswer: 1052.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*2*sqrt(21))\/((sqrt(24)*1)\/sqrt(8)) + -1.\nAnswer: -6 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be9a - -7?\nAnswer: -be93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/2)\/(85\/(-136)). Suppose 4*x + y = 0, -5*a = 2*x - 4 + 6. Is a greater than -2\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/975*-183*-5*1\/1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1542, 1533, 1518, 1497, 1470, 1437?\n\"Answer: -3*i**2 + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-56)\/92) - 4\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 216086*a - 1 - 3 + 219879*a.\nAnswer: 3793*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29812436.632 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11991073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-7) + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19957988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))**(-1)\/(o**(-6)*o*o*o*o**2*o*o*o))\/((o\/(o**(-1\/4)*o*o))\/o*o\/(o**(-4\/5)\/o))**1 assuming o is positive.\nAnswer: o**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 74. Let g = t + -25. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -8. Suppose 4*q - h - 6 = 0. What is the remainder when 3 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 635 + -405. Suppose 6*y = 3*y + j + 153, 3*j = -y + 51. Let x = n - y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -934.6 * -0.37.\nAnswer: 345.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y)*(-4 + 28 - 3).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s, 3 = 2*p - s - 0*s. Suppose -2*v - p*c = -23, -3*v - 4*c = -72 + 40. Calculate the greatest common divisor of v and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*y**2 + 9*d**3*y + d**2*y**3 + 4*d*y**3 + 3*d*y**2 + 6 wrt d?\nAnswer: 30*d*y**2 + 54*d*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/365 and -52\/11.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 33*f**2 - 52*f + 303. Let j be d(-31). Let n(r) = 5*r**2 - 2*r + 6. Let v(h) = 3*h**2 - h + 3. Give j*v(y) + 4*n(y).\nAnswer: -y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -28203*f + 169209. Calculate m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/11)\/r*r**(-6))**(-1\/19)\/((r\/r**(-7))\/(r**1*r)*(r**(-1\/8)*r)\/(r\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(-24253\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2 + 25*b. Let c be y(4). Solve 0 = -2*k + 5*m - c*m - 6, 3*k + m + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -52. Let w be 4\/26 - (-10)\/f. Suppose 4*h - 272 = -w*h. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 1274403.\nAnswer: 1274403.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*w + 9 = t, w = -11*t - 41 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11784 less than or equal to -11785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 5, k: 4, n: 1, y: 3}. Give prob of sequence rik.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.98 + -1.58. What is the third smallest value in 5, 4, -1, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(2805\/(-22)) + 334\/30 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 543746 * -0.67.\nAnswer: -364309.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -16 - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 20. Let u = -2 + s. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 11. Let y(c) = c**2 + c - 1. Let l be y(2). Factor -r**5 + 0*r**l - 7*r**4 + k*r**4.\nAnswer: -r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428636 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {j: 1, y: 1, v: 1, q: 1, a: 1, f: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*j + 2, -3*j + 12 - 2 = 5*s. Factor -8\/3*x - x**s - 4\/3.\nAnswer: -(x + 2)*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:26 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 29 = 51. Suppose -4*t = -p, t - 75 = -5*c + 3*t. Let f be (-4)\/6 + c\/3. Solve -5*a + f = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t + 16. Let z(n) = n + 1. Let h(d) = -2*b(d) + 22*z(d). What is the derivative of h(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = j - b + 12, 0 = -j + 4*b - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174, -579, -1210, -2067, -3150?\n\"Answer: -113*k**2 - 66*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*i**3 - i**2 + 0*i + 0 - 7\/2*i**4.\nAnswer: -i**2*(i + 1)*(7*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 75*r - 16. Give a(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332401848 divided by -13850077?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or -112?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1037273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-2 - (0 - 2)) - (4256 - 4212)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -187 + 249 + 0 + -34\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from {x: 6, a: 7}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 1147, 1155, 1179, 1225, 1299, 1407, 1555?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**2 + 14*r + 83892 + 384*r**4 - 2*r**2 - 83892 + 3*r wrt r?\nAnswer: 9216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/2)\/(-2))\/((-13546)\/(-115141)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**5 + 0*v**2 + 0*v**3 - 109\/3*v**4 + 0 + 0*v.\nAnswer: v**4*(v - 109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/sqrt(72))\/sqrt(2))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12 (b) 4\/5 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404448515 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68087867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 4. Let n be r(2). Suppose -148 = n*b - 6*b. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4321 - -4479. Calculate the remainder when 6159 is divided by n.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*y + 2*q, 14 - 25 = y - 5*q. Suppose r = 2*s - 6, -2*s + 5*s + 30 = -5*r. Put 2, r, y in decreasing order.\nAnswer: 2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (159 + 53 - 18)*(-w - 2*w + 8*w)*(17*w - 6 + 6)*(-4 - 2 + 5)*(2*w + 0 + 0) as j*w**3 + k*w + x*w**2 + n and give j.\nAnswer: -32980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8213 is divided by 445.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0748 + -0.4748. Put -1, 500, f in descending order.\nAnswer: 500, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {k: 5, f: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016142 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 293*q**4\/24 - 13*q**3\/2 + 7*q**2. Let y(u) = 437*u - 59. Let f(k) = -8*n(k) + 5*y(k). Differentiate f(d) wrt d.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + s + 119 = 66 - 15, -72 = 2*d - 4*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2136080071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4235)*1 - sqrt(4235))\/((sqrt(30) - (sqrt(30) + sqrt(90)\/sqrt(3)*-4))\/sqrt(6))*2)**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2501, 2493, 2471, 2429, 2361?\nAnswer: 2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 9. Let u(h) = h + 20 - h**3 + 3*h - 2*h**2 - 3*h. Calculate the smallest common multiple of u(0) and l(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2)*(-4)\/(-3). Let s(f) be the third derivative of 0*f + 1\/20*f**5 - 5\/24*f**4 - 5\/6*f**3 + 0 + 1\/120*f**6 - 10*f**2. Determine s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 + 2 + 1 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37303500 and 240.\nAnswer: 149214000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/6)\/(t\/(t*t*t**0*t*t))*(t\/(t\/(t*t**3)*t*t))\/(t*t**7) assuming t is positive.\nAnswer: t**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, 0*b - 220 = -4*b - 4*i. Let g(l) = 2*l**3 - 30*l**2 - 34*l + 58. Calculate the remainder when b is divided by g(16).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5286*c**3 - 70*c + 6*c - 5287*c**3.\nAnswer: -c**3 - 64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(405) - 1*sqrt(405)) + (sqrt(405) - (((sqrt(405) + 1 - sqrt(405)) + sqrt(405) - sqrt(405)) + -3))**2.\nAnswer: 36*sqrt(5) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 36*h**2 + 35*h - 22. What is y(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/289 + 7424\/2601. Calculate the common denominator of h and 8\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96006683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*i - 7. Suppose -5*l = 3*p - 40 + 9, l + 4 = -4*p. Let b(t) = l - 19 - 2*t + 10. Determine b(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/(44\/(-52) - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1235*n + 20 = -1237*n, -5*n = 30. Solve 2*k - f*l = -2, 0 = -2*l - 1 + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4561.33 litres to millilitres.\nAnswer: 4561330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d + 23*d - 4*d - 4*d. Let o(l) = -l - 3. Let y(z) = 6*z + 16. Let k(r) = -16*o(r) - 3*y(r). Give k(n(u)).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 105. Suppose 0 = -9*o - 74 - 7. Let b be 112\/1638 + 2\/o. What is the closest to 0.5 in 0.3, q, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2243 (base 5) to base 2.\nAnswer: -101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317 - -291. Let y(w) = 6*w + 162. Let c be y(q). Solve c = 7*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 15.2. Let y = q - -2.2. Sort -3, y, 0.5 in decreasing order.\nAnswer: 0.5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8 + 3. Let u be (h\/(-1) + 1)\/(-1). Let s = 3 - 2. Solve -q + s = -u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398811?\nAnswer: 17, 107, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 170 - 66. Suppose 5*n - b = n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**8\/t))\/(t**(-3\/2)*t*t))**(9\/2) assuming t is positive.\nAnswer: t**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 4*b + 4. Let q be k(-4). Suppose 0*n - q = 4*n. Let g(r) = r**3 + 7*r**2 + 3*r + 1. What is the units digit of g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51603 - 9913*o - 51603 + 34969*o.\nAnswer: 25056*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2)*(-12)\/4. Let z(s) = 3 - 1 - 156*s**q - 2*s + 4*s - 1 + 2*s**2. Is z(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12278 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2\/3))\/f))**(5\/6)*(f**(-5)*f*f)\/f**(-2\/17) assuming f is positive.\nAnswer: f**(-797\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25302228403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-25)*(-4 + -6). Let i(b) = d + 11 + 0 - b + 0*b. Let a be i(19). Let o(u) = -u**3 + u**2 + u + 8. Determine o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = o. Let b be (-34)\/10 - 24\/(-60). Is o\/7*(-25 + b) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20440303 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-26))**(1\/72)*n\/n**(2\/31)*n*n\/(n*n\/(n\/(n*(n\/(n*n\/(n**48*n)))\/n))) assuming n is positive.\nAnswer: n**(-51811\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**2 + 66*k - 75. Give d(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, -384098, 0.24 in descending order.\nAnswer: 0.24, 2\/13, -4, -384098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 32, 20, -1, 0, 11 in ascending order.\nAnswer: -7, -1, 0, 5, 11, 20, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**2 - 1\/12*j**4 + 4 + 24*j + 7\/6*j**3. Let w(h) be the first derivative of t(h). Factor w(y).\nAnswer: -y*(y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/3 - 676. Let t(b) = -58*b. Calculate u(t(f)).\nAnswer: -3364*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 23*a + 22. Let l(p) = p**2 + 2. Let i(t) = f(t) - 4*l(t). Determine w so that i(w) = 0.\nAnswer: 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 604 - 602.42. Round d to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5565\/(-1325))\/((-2)\/10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.591 and -426.\nAnswer: -677.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29926051 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: Let k = -17034 + 613351\/36. What is the common denominator of (54967\/(-462))\/19 + (-12)\/(-28) and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let k(f) = -16*f + 12. Let c be k(-2). Let l(u) = -4*u - 22. Determine c*z(h) - 2*l(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 65*d**2 - 2*d. Let g be i(1). Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**4 - 6*b**3 + 5854*b**2 + 1063520 wrt b?\nAnswer: 16*b**3 - 18*b**2 + 11708*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3 - u - 2*u + 2. Let b = -31 - -35. Calculate i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 4849.5654656?\nAnswer: 4840.5654656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 567*l - 31200. What is f(63)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yxyenxnnexnne.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219.5 - -219. What is the second biggest value in s, -0.3, -80?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12260 - 12258. Let k = 4 + -3. Solve c = n*c - k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:03 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 30\/17)*3\/20. Let m = -13\/17 + h. Let y = -316\/5 + 63. What is the nearest to y in 2\/7, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 9, 6457, 3?\nAnswer: 6457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -3 + 3 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6127 * 7.\nAnswer: -42889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-328)\/2))\/((-8683)\/(-34732))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + h + 3*h + 180 = 0, 3*h - 165 = -3*v. Suppose -6 = -p - 1, -v = -4*y - 2*p. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-342)\/(-456)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 4*c**2 - 12 - 4 - 1 + 5 - 15.\nAnswer: -4*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 0*i**2 + i**2 + (0*i - 2*i + i)*(i + i - 3*i) - 3*i**2 + i**2 + 3*i**2 - 7*i**2 - 15 + 15 in the form h*i + m + o*i**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 25 = -i. Let x(a) be the third derivative of -a**5\/60 - a**4\/4 + a**3\/6 - 25593*a**2 + 2*a. Calculate x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4173 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3*p**(-1\/6))**37 assuming p is positive.\nAnswer: p**(-481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -1082. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 6)*(5 + -6) - -3. Let d be (0 - (-4)\/h)*(-20)\/68. Let s = 2.6 - 3. What is the second smallest value in s, 9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*o**2*t**2 - 1297*o**2 + o + 15177*t**2 with respect to o.\nAnswer: -110*o*t**2 - 2594*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 147*l - 149*l - 13)*(15 + 15 - 4).\nAnswer: -52*l - 468","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**4 + 12*f**4 - 30*f - f**3 - 16*f**4 - 2*f**4 - 7 in the form m*f**4 + u + b*f**3 + i*f**2 + s*f and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwno when four letters picked without replacement from ewgweewwwwowwnewe.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190766 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)\/(b*b*b**(4\/7)*b))**14 assuming b is positive.\nAnswer: b**(-394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 187\/18*h**3 - 7*h + 0 + 1\/12*h**4 - 21*h**2. Factor n(o).\nAnswer: (o + 63)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3954163\nAnswer: -7908326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121345020?\nAnswer: 2, 3, 5, 19, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let d(t) = -t - 5. Let s = -117 + 119. Determine s*n(m) - d(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -365 or -2561\/7?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-80)\/15*(-20)\/(-32)*6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.22125s?\nAnswer: 4221250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 32\/21*n**3 + 2*n - 32 + 8\/7*n**2 + 3\/35*n**5 + 13\/21*n**4. Factor o(i).\nAnswer: 4*(i + 2)**2*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -259, -2, -37.\nAnswer: -259, -37, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1 (c) -9429 (d) -3 (e) 0 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 + 14 + (13 - 25) + 17 + -27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2514 + -2512.497. Let j = o + 0.097. Let f = 0.3 - 0.1. Which is the biggest value? (a) -4 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 0*l**4 - 3*l**4)*(-l + 2*l - 2*l - 1).\nAnswer: 5*l**5 + 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -209555330 divided by 6\nAnswer: -104777665\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 307121.3m in micrometers?\nAnswer: 307121300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(72) + 2*1*sqrt(72))*1)**2 + (-3 + 4 + sqrt(72) + 0 + -2)**2.\nAnswer: -12*sqrt(2) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**5 - 8*q**4 + 8*q**2 + 9*q - 8. Let x(v) = v**4 - v**2 - v + 1. Let u(b) = 5*s(b) + 40*x(b). What is the second derivative of u(z) wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*r**2 - 52*r**4 - 18*r**2)*(-10*r + 18*r - 12*r + 1).\nAnswer: 208*r**5 - 52*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -5 (c) -13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 + 17*a**3\/3 - 9*a**2 + 16*a + 15. Let s be d(15). Suppose -5*y - 109 = s. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 0*r**4 - 5*r**4 + 4*r**2 - 4*r**2 - r**4 + (3*r**3 + r**3 - 3*r**3)*(2*r + 4 - 4) + 135*r**4 + 296*r**4 + 965*r**4 + 321*r**4.\nAnswer: 1716*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + sqrt(832)*-1*2 + sqrt(832))**2 + 2).\nAnswer: -2529 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 5*y**2 + 7*y**4 + (2*y**4 + 0*y**3 + 0*y**3)*(-3 + 2 + 0) + (2 - 2 - 2)*(5*y**4 - 23*y**4 - 2*y**2 - 5*y**4).\nAnswer: 51*y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000200 (base 5) to base 3.\nAnswer: -210111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 93?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 13.3. Let w = 3.3 + -3.2. What is the second smallest value in w, m, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 10) in base 12?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1748 + 2153. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16*x**2 + 5*x + 5. Let c(t) = 40*t**2 + 12*t + 12. Let u be 0\/(3 + 0) - (-10 + 22). Determine u*q(b) + 5*c(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**4 + 18 - 2*d**4 + 3 wrt d?\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 30 = 94*w + 2*b, 5*w + b = -30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 6097165 and 4.\nAnswer: 6097169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6046.56 - -5917. What is t rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -22355*u + 44680. Calculate g(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 7*c**3 - 7*c**3 - 4*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1996873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 - 79*n - 27. Determine k(-12).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*i + 108 = 0, q - 64 = -2*q - 2*i. Let g = 51 - q. Suppose 3*c + g = n + 3*n, 3*n - 2*c = 19. Solve 1 = -n*f - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/57 or 0?\nAnswer: -44\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 6:27 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + (-12)\/(-7). Sort i, 0, 0.5.\nAnswer: 0, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 58, -3, -76, -155, -234?\n\"Answer: t**3 - 15*t**2 - 5*t + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + 5*(-2)\/(-4). Let y be (-3)\/k*440\/60. Let b(c) = -c - 24. What is b(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 12:21 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 + 1561. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*s - 112 = 2*k, -5*k + 262 = s. Suppose 6*o - k = -22. Solve -6*i - 3*v + 2 = -2*i, o*i + 15 = 5*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540 a factor of 3701679920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252224 (base 9) in base 6?\nAnswer: 3134121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1694123 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2353089, 2353081, 2353071, 2353059, 2353045, 2353029, 2353011?\n\"Answer: -w**2 - 5*w + 2353095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 17*u**2 - 2*u - 22. Calculate the lowest common multiple of 22 and m(4).\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187062634 rounded to the nearest ten thousand?\nAnswer: -187060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2835608 + -5371410. Let m = -3887802 - w. What is m rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let w(o) = o**2 + 9*o + 2. Let q(g) = -2*g**2 - 3*g + 5. Let j be q(2). Let l be w(j). Sort z, l, -0.1 in ascending order.\nAnswer: z, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 256, 510, 764?\n\"Answer: 254*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.13 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1546063 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 12. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005243518 rounded to four decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + (-154)\/30\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 393266388 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54043, -108086, -162129, -216172, -270215?\nAnswer: -324258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 797252796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-25))\/(-3)*(-25)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13736 and 1108.\nAnswer: 3804872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/10284 and -23\/10284?\nAnswer: 10284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-5 - -8) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9949, -9945, -9921, -9865, -9765, -9609, -9385?\nAnswer: -9081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*j**4 - 3*j**3 - 1798*j.\nAnswer: -4704*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -100*l**3 - 14*l**2 - 64*l - 41. Let o(j) = -66*j**3 - 9*j**2 - 40*j - 27. Calculate -8*o(v) + 5*u(v).\nAnswer: 28*v**3 + 2*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/13 + 20*o**4 + 7998*o**3\/13 - 20*o**2 - 8000*o\/13 = 0. What is o?\nAnswer: -80, -50, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-99)\/18 + (-623)\/6. Let d be 1*(0 - (-102 - 1)). Let j = d + o. What is the closest to j in 7, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 - 32*q - 12. Let v be i(-6). Suppose 336*r - 332*r - 2688 = v. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6464*a**3 - 2191*a**3 - 2075*a**3 - 2199*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)\/o)**34\/(o*o*o**(-1\/3))**(2\/7))\/(o**(3\/7)\/(o*o*o**(-7)\/o*o))**(-10) assuming o is positive.\nAnswer: o**(475\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3576 and -4*149*(172\/(-1118) + 61\/(-26))?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4*(1960\/16)\/1. What is the greatest common factor of 105 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 + 2.5. Which is greater: h or -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 2*p - 4. Let l be f(-4). Let t(m) = -m**2 - 11*m - 4. Suppose -5*o = -34 + 89. Let h be t(o). Sort h, 1, l.\nAnswer: h, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73702 and 1634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 875181002.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/((-4)\/(-6)). Suppose 5*k = t*k + 9. Let n(u) = u**3 - u**2 - 2*u - 2. List the prime factors of n(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -984*g**2*o**2 + 24*g**2*o - 3*g**2 - 15*g*o**3 + g - 9*o wrt o?\nAnswer: -1968*g**2 - 90*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -0.1. Let w = 27 - 119. Let i = w - -100. Which is the closest to -2? (a) u (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 193.\nAnswer: -4, -1, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 236178 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2712 and 94704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 + 4*p + 5. Let z(x) = -4*x**3 + 2*x + 2. Give 2*n(v) - 5*z(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = -5*h, -b + 2*b = -3*h - 6. Let s = 11 + b. What are the prime factors of -16*6*s\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 5*f + 5. Let n(w) = 9*w**3 - 3*w + 3. Let x(j) = -11*j**3 + 4*j - 4. Let r(y) = -6*n(y) - 5*x(y). Determine 2*g(s) - 5*r(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.264 and 3948562?\nAnswer: 3948562.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*m**2 - 76*m**2 - 115*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.094, -2, -0.27 in increasing order.\nAnswer: -2, -0.27, 0.094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - h + 4, 4*t + h - 6*h = -11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -32 + (2 + -2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 10130?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -4\/13, 0.07, -38?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/945 and 85\/63.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 47 - 26) + 24 - (-85 - -17).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13506050 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -116. Suppose -5*k - d*o + 45 = 0, -3*k - 51 = -8*k - 2*o. Suppose 189 + 295 = k*b. Calculate the greatest common divisor of b and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g + 37*g + 34*g - 39 - 103*g as z + d*g and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 8*h = 165. Is h < 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4801 * -0.5.\nAnswer: -2400.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17.8. Let n = -12130.5 - -12131. Which is the fourth smallest value? (a) 0.4 (b) f (c) n (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469916500 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 5}. Give prob of picking 1 q and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 13*w + 0 - 4*w + w + 0*w - 4*w + 3 - 3 + (2 + 0 + 0)*(w - 2*w + 0*w) - 7*w + 0 + 0 as z*w + k and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65506 and 280740?\nAnswer: 1965180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 + 8\/(-36). Solve n = -3*a + m - 14, a - 3*m = 5*a + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**5\/15 + 3*d**4\/4 - 23*d**2\/2 + 20. Let m(x) be the second derivative of o(x). Find the second derivative of m(g) wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2834*n**3 + 6*n**2 + 13*n - 38. What is the smallest common multiple of 12 and o(2)?\nAnswer: 68052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - 65) + 11 + (-5 - 0) + 8 + -9?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 89*v**2 + 592*v + 66637. Determine p(-87).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:50 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u - 2 + u + 2*u**3 + u**2 + 0. Let b be i(-3). Let j = 51 + b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 10089072?\nAnswer: 1\/1681512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1553, -799, 1251, 5245, 11831, 21657, 35371?\nAnswer: 53621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + 100. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from {w: 1, a: 3, t: 4, m: 2, k: 4, p: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - 35*g + 35*g)*(1 - 2 - 1 + (1 - 1 + 2)*(0 + 4 - 5) + 0 + 1 - 2)*(7 - 3 - 2 + (1 + 0 + 0)*(1 - 4 + 4)) in the form t*g + i*g**2 + m and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2 - 438710*j - 1071370 wrt j?\nAnswer: 4*j - 438710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -23. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-10)*5*32 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c + 80. Let n be l(-9). Let t = 216 - n. Calculate the remainder when 187 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 - 7*f + 3. Let l be k(-6). Let z be (l\/(-24) - 3) + 2. Let g = 361\/462 - -4\/77. Sort g, z, 4 in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1254 + 1108. Let a(c) = -6*c**2 + 3*c - 1. Let k be a(-6). Let q = p - k. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-560)\/504?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 - -80. Let a = 151 + v. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r + 50. Let t(m) be the second derivative of m**3\/3 - 2*m + 13. Determine t(b(j)).\nAnswer: -12*j + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - (-492)\/(-20). Let k = -24 - o. Is -5 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346 - 5?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p, 2*p = -5*z - 2*p + 16. Does 9 divide (-17)\/((-510)\/z) - 6446\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + 3 + -122 + 121.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/7, -5\/2, -0.3, -2\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - 4*p**2 + 14*p - 5. Let g be j(6). Let x = -328 + g. List the prime factors of x.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(-5 + (-4 + 2*sqrt(567)*-1 + sqrt(567) + 1)*-5)**2.\nAnswer: 10800*sqrt(7) + 171300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 - 15*x. Let r be q(6). Let m be r\/(-18) + (0 - 1). Factor -5\/4*u**5 - 2*u**4 - 1\/4*u**3 + 1\/2*u**m + 0*u + 0.\nAnswer: -u**2*(u + 1)**2*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -11*g**3\/3 - 133. Let t(k) = 6*k. What is x(t(o))?\nAnswer: -396*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*p)*(-1 + 0 + 2) - 3*p - 2*p + 3*p)*(64 - 19*p**2 - 64).\nAnswer: 76*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3406 - -3405. Which is the third biggest value? (a) 3 (b) -0.2 (c) 7 (d) h (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -34 + -7 + 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyoyyyfoyyoyfoofyf. What is prob of picking 3 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (48\/(-36))\/((-2)\/147) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (0 + (-3 + sqrt(605) + 2 - (sqrt(605) - sqrt(605)*-1*1)))**2 + -1).\nAnswer: -2432 - 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 45 = -5*c, 0 = -m + 2*m - 4*c - 6. Let g be (-4)\/(-8)*m*10\/(-5). What is the greatest common divisor of g and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*f - 3 + 1 = -5*c + 2*f, 0 = -38*c + 3*f - 82 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -32627 (base 10) to base 6\nAnswer: -411015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -10, -29, -48?\n\"Answer: -19*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213701 + -2110?\nAnswer: -216011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6294*n + 37815. Determine h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 256 = 5*y. What is the greatest common factor of 56 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 - -0.8. Let k = -21.79 - 1.13. Let z = -23 - k. Which is the second biggest value? (a) 1 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*q**3*w - 119*q**3 + q**2*w - 108096*w wrt q?\nAnswer: 180*q**2*w - 357*q**2 + 2*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 1. Let k = 23 + f. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 41*z**2 + 25*z + 55. Calculate x(-14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24083.\nAnswer: 24083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*u - 2*t + 20, 2*u - 86 = -2*t. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 21. Let b = f - 18. Find l, given that -b*l**4 - 4*l**2 + 50*l**5 + 21*l**3 - 11*l**4 + 7*l**3 - 47*l**4 = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/80 + 536\/(-670)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -53 + 35 + 10*m - 92. Let b be s(11). Solve b = 3*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 0, 236*p - 241*p = -2*g + 25975. List the prime factors of g.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**5 - 120*x**4 - 785*x**3 - 1230*x**2 - 560*x = 0.\nAnswer: -14, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 304*w**2 + 3043*w\/5 + 1522\/5.\nAnswer: -(w - 1522)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-2)*v\/(v*v**(-2\/3))*v**(-3))\/((v\/(v\/(v**(-2\/7)\/v)))\/v*v\/(v**(-1\/5)\/v))**(-14) assuming v is positive.\nAnswer: v**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 0*f + 3*f)*(0*f + f + f) + 5*f**2 + 0*f**2 - 3*f**2 - 190*f**2 + 160*f**2 - 414*f**2 + (4 + 4 - 6)*(-f**2 - 4 + 4) + 1 + 2*f**2 - 1.\nAnswer: -446*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -129, -241?\n\"Answer: -112*b + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -14?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvvvvvxvvvv. Give prob of picking 2 x and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -26. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:57 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*n + 362*n + 3*u + 676 = 0, n + 5*u = 96. Let v = -1 + 8. What is the remainder when n is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4472, -7855, -11242, -14633?\nAnswer: -18028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113033333 + 3?\nAnswer: -113033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*18\/(-4). Suppose 0 = -j*r + 3*x + 33, -x - 13 - 9 = -2*r. Calculate the remainder when 30 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-15)*(-165)\/132*12\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215522?\nAnswer: 2, 107761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 23*s**5\/60 - 9*s**2. Let d(c) = c**2. Calculate d(l(u)).\nAnswer: 529*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 78. Let i be (0\/l)\/(0 + 2). Suppose i = r - 136 + 13. List the prime factors of r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Suppose -14 - 8 = -5*q - 4*r, -2*r = -g. Suppose -q*k + 0*k + 18 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (6 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2605*b - 923*b + 781*b to v*b + w and give v.\nAnswer: -2747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21049627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.6. Let f = 26 - 15. Let n = f + -11.5. What is the smallest value in 2\/3, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324))\/sqrt(12))\/sqrt(9) + -3.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 222?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -14 + 2 + -9 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsxsshahxsx. What is prob of sequence xxa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 6, 18, 36, 60, 90, 126?\n\"Answer: 3*v**2 - 3*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 44. Let l(k) = 2*k - 17. Let v be l(8). Put v, b, 5, 4 in increasing order.\nAnswer: v, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3\/5 + 273621*f**2\/5 + 1368168*f\/5 + 1094544\/5 = 0?\nAnswer: -4, -1, 91212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1202, -1203, -1206, -1211, -1218, -1227?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3647821 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1. Let h = 30 - 30.044. Let t = h + 4.044. What is the second biggest value in 0.5, z, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w - 12. Let z(x) = -8*x + 47 - 91 + 37 + x**3 - x**2 + 6*x. Give z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.008, 2\/7, 3\/4, 0.1, -0.09766, 2?\nAnswer: -0.09766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 663 + -664. Let m(z) be the first derivative of -3*z**4\/4 - z**3\/3 - z**2 - 2*z - 1. Calculate the lowest common multiple of m(y) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*y - 106*y - 38*y + 20*y**3 + 22 + 179*y + 19*y**3 as f + z*y**2 + b*y + i*y**3 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5716 and 348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14915 equal to -14914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w**3 - 38*w**3 + 27*w**3 + 33*w**3 + 4*w**2 + 100*w to the form o*w**3 + n + q*w + v*w**2 and give q.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 4, n: 5}. Give prob of picking 1 n, 1 u, and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.10976 grams in nanograms?\nAnswer: 65109760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 1 - 1 + (-4 + 1 + 1)*(i - i + i) + 3*i - 5*i + 0*i - 17*i + 2*i - 6*i - 14*i - 5*i - i)*(2 + 1 - 2)*(-53 + 53 - 3*i).\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q\/(q\/((q**(3\/8)\/q)\/q)))\/(q**(2\/11)*q\/((q\/(((((q\/q**(-1\/5))\/q)\/q)\/q)\/q))\/q)*q*q) assuming q is positive.\nAnswer: q**(-773\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6 = 3*f, 2*f = 3*f - 4*r + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2245967362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - 10*i + 7*i**2 - i**2 - i**2 + 0*i**2 + i**2 + 1 - 1 + (-1 + 0 + 3)*(-2*i**2 + 0*i**2 + 4*i**2) + i**2 + i**2 - 3*i**2)*(-3*i**2 + 0*i + 0*i).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 + 28. Let u = 333 + g. Which is the fourth biggest value? (a) 0.03 (b) u (c) 2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2562 - 2610 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:24 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*k + (-k + 4*k + 0*k)*(0 - 1 + 2) + 5 + 17*k - 31 - 16*k.\nAnswer: 7*k - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a3 + -2?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1464\/247 + -304592\/57057. Let d be (-6)\/(-27) + 8\/99. Let h = d - v. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 211*x**2 + 21731*x - 248. What is s(-103)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 3, l: 7, i: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*y = -87, 5*i + 2*y - 185 = 365. Let m = i + -110. Suppose -v = -5*z + z - 22, 0 = 5*v - m*z - 20. Solve -v*h + 10 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002659 is divided by 7315.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23196, 92831, 208898, 371397, 580328, 835691?\n\"Answer: 23216*n**2 - 13*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/37548 and -2\/615.\nAnswer: 7697340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-2555 - 1218 - 101)*(-3*n**2 - 2*n**2 + 3*n**2).\nAnswer: 23244*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/5 + 8*z**3\/5 - 163*z**2\/5 - 34*z = 0.\nAnswer: -17, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 11 - 26. Let m(r) be the first derivative of -1\/8*r**4 - i - 2\/3*r**3 - 5\/4*r**2 - r. Suppose m(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245424 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 = -7. Suppose -x + z - 1 = 0, 5 + 5 = d*x - 2*z. Suppose -k - 33 = -4*l - 5, 35 = 5*l + 3*k. Calculate the remainder when l is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.159244cm?\nAnswer: 0.00009159244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 2}. Give prob of sequence zw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5312 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45053 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 267138*n - 5946892587.\nAnswer: -3*(n - 44523)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*j = -3228*j + 29400 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 1, t: 4}. What is prob of picking 3 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a + 38 - 196 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**4 - 16*d**4 + 3*d**4)*(-1 + 2 + 1) + d**4 - d**4 - d**4 to the form q*d + n*d**2 + j + i*d**3 + p*d**4 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 894*l**2 + 85*l + 769440?\nAnswer: 1788*l + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 16. Let r(z) = -2*z - 4. Let u(s) = -4*r(s) - v(s). Let w(k) = 13*k + 10. Determine w(u(i)).\nAnswer: 26*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbbmhhhhbhmhmj. Give prob of sequence jm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(1 - 4 + 2) - 1 + 2 + 1 + (-2 - 1 + 5)*(-1 + 2 + 1) + 19 + 21 + 12)*(12*v - v**4 - 12*v).\nAnswer: -57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587807, 1175614, 1763423, 2351234, 2939047?\nAnswer: 3526862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 125*w**3 + w. Let g = 7 + -6. Let h be z(g). What are the prime factors of ((-48)\/14)\/((-12)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 8. Let m be y(6). Suppose -5*o + 910 = 5*i, -o - 260 = m*i - 985. List the prime factors of i.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 4083.\nAnswer: 8166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose -3*g - 2 = 2*k + 3, k + 5*g = -20. Factor 6*v**n - v**5 - 7*v**3 + 8*v**3 - v**2 - k*v**4.\nAnswer: -v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpnnppnppppnnnppdp. Give prob of picking 3 p.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Suppose 4*o + o - 125 = 0. What is the remainder when o is divided by z\/30 - (-532)\/60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 6*d**2 + 8*d - 17. Suppose 4*r + 3*r = 35. Let m be z(r). Which is the second biggest value? (a) 0.1 (b) m (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.67*0.830837\nAnswer: 4.71084579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f. Let a(p) = -p - 1. Let t(k) = -2*k + 2. Let i(s) = -2*a(s) - t(s). Calculate i(m(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 68.53. What is s rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 1. Let c be -2*-3*2\/4. Let h be 2\/(-11) - 169\/(-143). Suppose -c - h = l. Calculate m(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-38)\/(-91) - (-8)\/52)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278756, -557498, -836226, -1114934, -1393616, -1672266?\nAnswer: -1950878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (5 + -5)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -13. Let p = -22 + l. Which is the nearest to 1\/3? (a) -2\/3 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 880\/(-48)*468\/(-429)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1660 - -3012. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*h*s**3 - 4*b*s**3 + 3*h*s**3 + 2*s**3 wrt b.\nAnswer: -h*s**3 - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8)*4\/(-44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-175))\/(8\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 - (-309)\/(-5). Suppose -w = w - 12. Does 8 divide w\/12 - o\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 38. What is t(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20*1)\/(5 + -6). Let h(l) = 5*l**2 - 2*l - 8. Let u be h(6). Calculate the greatest common divisor of u and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5)*2 - (-736)\/(-10). Let a = -72 - f. Suppose a*t - 36 = -2*t. What is the remainder when 24 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, -0.5, -0.4, -13, 1 in ascending order.\nAnswer: -13, -0.5, -0.4, 1, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 1)*(n**2 + n**2 - 3*n**2) + (0*n - n - 2*n)*(-2*n + 3*n + n) + (3*n - 2*n - 3*n)*(n - 2*n + 3*n) to b + p*n**2 + d*n and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 39104 + 460*l**2 - 39104 - 460*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883 - 4434\/5. Is -5 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18294 = -438*z - 30324 for z.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -10*r**3\/3 + r**2\/2 - 5*r - 3. Let x(g) = 11*g**2 - g + 5. Let o(m) = -6*n(m) - 5*x(m). Is o(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.8 + -0.3.\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 10*w - 63. List the prime factors of i(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -1, -3.3, 3, 5\/2, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6201 divided by -26?\nAnswer: 477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let w(s) = 113*s + 229*s + 17*s + 189*s. What is a(w(y))?\nAnswer: 300304*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 139. Solve q = w + 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -22. Suppose 5*b = w*v + 339, -v + 0*b - 123 = -5*b. Let q = -102 - v. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1211067430 divided by -41.\nAnswer: 29538230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.015 - 10. Let n = 3.985 + w. Let x be 14\/6 - (0 - -3). What is the second smallest value in -2\/5, x, -1\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9472031 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 5*c**2 - 5*c - 6. Give f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3403620 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -0.2, -1395, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + m**4 - 4 - m**2 + 12*m**3 - 10*m**3 as r*m**4 + y + x*m**3 + a*m + q*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -4352.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 27*q + 6. Let w be k(0). Suppose -w = -2*f - 25*j + 28*j, 3*f = j + 9. Solve 3*n - f*a + 3 = -3, 3*a = -4*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, v: 4}. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103311083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1088) + -2 + sqrt(1088))*4)**2.\nAnswer: -1024*sqrt(17) + 69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q - q + 10*q - 6*q to i*q + s and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3652, 3645, 3640, 3637, 3636, 3637, 3640?\nAnswer: 3645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 8*y + 11 + (-2 - 1 + 1)*(-y - 2*y + 2*y))*(-2*y + 0*y + y)*(-1 + 4 - 1).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 98 = 4*f, -256 = 5*x + 5*f - 131 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 - 156*q**2 - 152*q = 0?\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, n: 10}. Give prob of picking 1 p and 1 n.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**7\/84 + d**5\/12 - 11*d**4\/12 - 37*d. Let s(g) be the third derivative of a(g). What is the derivative of s(l) wrt l?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43396 - -43400. Let n(l) be the first derivative of 8\/3*l**3 - 1\/5*l**5 + 0*l**2 + 4 - 7*l + 0*l**a. Differentiate n(z) wrt z.\nAnswer: -4*z**3 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73038\/55 - 1328. Let q = c + 454\/385. Sort -0.1, q, 0.1.\nAnswer: -0.1, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 14*h**2 + 2*h - 16. Let s be r(14). Let j be (-68)\/s + 6 + 59\/3. Solve -4*p - 3*c + 5 = -j, 5*c - 19 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4.28 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355439337215 - 0.2.\nAnswer: -1355439337215.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 - y + 2. Let k be g(0). Suppose -3*u = -0*u + r - 65, -55 = -k*u - 3*r. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + 3)**2 + (-5 + sqrt(17)*2 - sqrt(17))**2 + ((-6*sqrt(68)\/sqrt(2))\/(5*sqrt(32)))**2.\nAnswer: 26*sqrt(17) + 19953\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 25, -2*z - 5*u = -115. Suppose 51 = -28*d + z*d. Factor 1\/3 + 1\/3*n - 1\/3*n**d - 1\/3*n**2.\nAnswer: -(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 11*o + 99. Determine a(11).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/z)**(8\/5)*(z\/z**(2\/11))**0)**50 assuming z is positive.\nAnswer: z**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 533823, 1067646, 1601471, 2135298, 2669127?\n\"Answer: g**2 + 533820*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2502 + 4309 = 59*u - 53*u + 133*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c. Let b be v(-4). Suppose -4*f + 5*w - 6 = 0, -f + 3*w = -b + 9. What is the tens digit of 1 + -1 - f*-42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2 - 4. Find the third derivative of -o**v - 5*o**2 + 3*o**2 + 2*o**5 wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.13 + 0.13. Let u = -39 - -39. Which is the second biggest value? (a) h (b) u (c) -4\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107132 or 107133?\nAnswer: 107133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -701a7a (base 11) in base 9?\nAnswer: -2112038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 5*m**2 + 4*m**2)*(-4*m**2 + 14*m**2 - 2*m - 8*m**2) - 3*m**4 + 0*m**4 + 4*m**4 + (-2*m**4 - m**4 + m**4)*(7 - 2 - 2) + 0*m**4 - 2*m**4 + m**4.\nAnswer: 10*m**4 - 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, r: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:35 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let g(j) = -575*j**2 + 14*j**2 - 32*j**2 + 1250*j**2. Calculate g(y(p)).\nAnswer: 657*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73509058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 33115*j + 195. Let v be k(7). Round v to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7618 and 7982.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 10*s - 11. Let u be n(9). Let y be 143\/5 + (-4)\/(-10). What are the prime factors of u - (1 - y) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + 19*h + 16. Give b(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*(1 - -1)*5. Let j(r) = 1. Let i(m) = m + 4. Let o(q) = -i(q) + 5*j(q). Is o(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*c**3 - 270*c**3 + 2*c**2 - 2*c**2 - 292*c**3.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:23 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 + y + 1. Let h be p(-1). Is h >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 17*t + 82 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331213141 - 11?\nAnswer: 331213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (3\/(-5))\/(21\/(-52815))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 8, -0.4, 1\/79, -0.3, 79, -5, -2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(153))\/sqrt(9)*6.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(3))*-3 + 0 + (sqrt(33)\/(2*sqrt(1584)))**2.\nAnswer: -9*sqrt(3) + 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304172 divided by -682?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105056 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 97289\/(-1897). Solve -79 = -s*q + 176 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 164 = 4*m, 88 = 2*g - 2*m + 6*m. Let x be (-1 - 4*4\/(-8)) + g. Calculate the greatest common factor of x and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 147*w**2 - 76*w + 380. What is the ten thousands digit of r(144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 294. Let t = q - 180. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002905165944 to seven decimal places.\nAnswer: -0.0029052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 8*c - 5. Let x be u(-8). What is the closest to -7 in 1\/3, x, 0.1, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -460?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006175768 rounded to 4 dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.67 - 0.03. Let f = t - -1. Let n(g) = g**3 + g**2 - 3*g - 4. Let x be n(-2). Sort f, 3, x.\nAnswer: x, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let d be c(-3). Suppose u + 3 = 2*q, -4*u + 2*q - 1 = 17. Sort -3, u, d.\nAnswer: u, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047554 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)*w\/w**(-1\/10))\/(w**(-14)*w\/((w*w**(2\/17)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(21073\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 11*v**4\/12 - 3*v**2\/2 + 8*v. What is the first derivative of x(j) wrt j?\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 328*i**2 + 6199*i - 115227. Determine n(345).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*c + 16, -2*i + 5*c = -21 - 3. Factor -2\/9*w**3 + 0*w**i + 2\/3*w + 4\/9.\nAnswer: -2*(w - 2)*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8040*f. Let d(v) = 22*v. What is m(d(u))?\nAnswer: -176880*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 - -1 - (3 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose 2*k = -4*g + 13 - 5, k = g - 8. Which is the third biggest value? (a) g (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 9. Let g(h) = -2*h**3 - 2*h**2 - h - 2. What are the prime factors of g(a)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140089830 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-94248)\/7480)\/((-21)\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -30. Let n = w + -7. Find the second derivative of 3*j**3 - 2*j**n + j + 2*j**3 - 2*j wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsft. Give prob of sequence fs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q + 9. Let z(k) = -15*k + 10. What is 7*x(f) - 6*z(f)?\nAnswer: -8*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from qoybq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -38*c + 40*c, 2*d = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 - m + 3. Determine n(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 10*f + 61. Give n(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 40200763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8993, 8950, 8849, 8690, 8473, 8198, 7865?\nAnswer: 7474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*u + 303*u - 21228 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/12 (b) 2\/7 (c) 2 (d) -5 (e) -1\/11 (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2 + 2)*(-1 + 1 - 2) - 5*x - 5*x + 3*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (148 - 146) + (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 2. Let r(s) = 297776*s**2 - s - 1. Let i(d) = m(d) - r(d). Let p = 10 + -7. Let f be i(p). Round f to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t, 4563 + 8664 = 3*u - 3*t. List the prime factors of u.\nAnswer: 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1019961.95 and -2.881524.\nAnswer: 1019959.068476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -607. Let t = 187 - d. Let w = 229.99823 + t. Round w to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*h**5 + 2*h + 20?\nAnswer: -4420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -13, -3, 17, 47, 87?\n\"Answer: 5*h**2 - 15*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 427 - 14084\/33. What is the common denominator of j and 56\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 2. Let p(s) = -4*s - 7. Let r(c) = -2*p(c) - 7*x(c). Let d(g) = 3*g. Let a(l) = l. Let o(w) = 6*a(w) - 3*d(w). What is r(o(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/3 + 332475625*o\/3 + 664951270\/3.\nAnswer: -5*(o - 66495127)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 9*w + 7. Let l(n) = 6*n**2 + 26*n - 21. Let m(g) = -7*h(g) - 2*l(g). What is the tens digit of m(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(2\/39)*(f**0)**30*((f*f**(-1\/4))**(-37))**(-5\/4) assuming f is positive.\nAnswer: f**(151451\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 6)\/(2\/(-20)). Let w = 6965 + -6951. What is the smallest common multiple of w and 4\/d*(48 - -2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3284, -6\/29, -2\/3.\nAnswer: -3284, -2\/3, -6\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52))\/sqrt(4) + ((sqrt(91)\/(sqrt(7)*-2 - sqrt(7)))**2 - sqrt(13)) - ((sqrt(351)\/sqrt(3) - sqrt(13)) + -4)**2.\nAnswer: -599\/9 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1105)\/(-156) + -7)*-2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -967 (c) -0.5 (d) 5 (e) -0.4 (f) 1\/874\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2714305.252 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s - 32 = 88*s + 237*s + 319 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1ee6e (base 16) to base 13\nAnswer: -457c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 26. Let h = -2 + -3. Sort q, 2, h in decreasing order.\nAnswer: q, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13459393.64 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -85, -163, -311, -553, -913, -1415, -2083?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 41*r**2 + 2*r - 2. Calculate the remainder when l(1) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - j**3 + 0*j**3 + (-1 + 1 - 4*j)*(1 - 1 - 2*j**2).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77544 divided by -54.\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-10)*(15\/10)\/((-18)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2ea (base 15) to base 4\nAnswer: -22132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -206?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 12*y + 135. Let f be v(7). Which is smaller: 25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33552 * -0.02499.\nAnswer: -838.46448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3895 and 922551783?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3320.86 + 3321. Which is the nearest to -1\/3? (a) 2\/7 (b) u (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013250724 rounded to 5 dps?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*q + 31. Suppose q*v = -78 - 82. Let n = 8 - v. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllllbllllbb. What is prob of picking 1 l and 3 b?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2\/(-21)*-3 + 94764\/742.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022785 - 46.216785. Let m = g - -46. Round m to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020211 + -11?\nAnswer: -2020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3817532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 25*i**3 - 13*i**2 + 11. Let t(y) = 4*y - 10. Let n be t(1). Let o(c) = 13*c**3 - 7*c**2 + 6. Suppose 0 = 3*g + 119 - 152. Give g*o(k) + n*s(k).\nAnswer: -7*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = k - 1, -5*d + 7*k = 8*k - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 53 (c) 8982\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j**3 - 12*j**3 + 2*j + 23*j - 4*j**3 to k*j**3 + s + n*j + a*j**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/12*(-14)\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 29, -4.\nAnswer: -4, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:28 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 4, q: 1, a: 5}. Give prob of sequence rrj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 - -4?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 30744.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 4*t**2 - 8*t - 10. Give s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4934041019 to the power of 1\/3, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:53 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 22.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -834, 5, -5 in descending order.\nAnswer: 5, 3, -5, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3030122 - -2230?\nAnswer: 3033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9558 = 602*o - 21801 + 6075 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -21*t - 12. Let o be t - (5 + -2 - 6). Solve 0 = 23*w - 22*w + o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19101 and -19103 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - -263. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {l: 4, r: 3, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009689 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212\/7 + 30. Let h = 0.1193 - 0.1193. What is the closest to h in 7, 3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 - 4422.\nAnswer: -4479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 47*v + 540. Give h(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 34 + 26 = 0. Suppose -4*v + 11*k = o*k - 3821, 5*v - 4774 = k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*n + 0*n**4 - 5*n**2 + 210*n**3 - 2 - 32*n + 6*n**2 - 2*n**4 - 184*n**3 to f*n**2 + u*n**3 + o + r*n + c*n**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.14873 rounded to 0 dps?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-18))\/((10\/5)\/(((-32000)\/4)\/(-16)))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c7b + 2?\nAnswer: -c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, 46, 55, 3, -0.2, 1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 - c. Let o(u) = -3*u**2 - u. Let y(l) = -6*o(l) + 7*z(l). Let k be 18\/14 + 4\/(-14). Let x(g) = 2*g - 1. Let m be x(k). Give y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 21 + -2 - (-48)\/4) + (-5)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**2 + h - 1511. Let a(v) = 43*v**2 - 2*v + 3021. Give -6*a(c) - 13*s(c).\nAnswer: 2*c**2 - c + 1517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/6 - 7*a**3\/6 - 4*a**2. Let x(c) = -2*c - 3. Give -2*f(o) + 5*x(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.4, -0.4, -2, -14932, 3, 269?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0) + (-6)\/(-8). Let d = 1.4127 + -4.4581. Let n = -0.0454 - d. Which is the nearest to 5? (a) n (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5893 + -4693. Which is smaller: y or 1198?\nAnswer: 1198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388409688 divided by 1016.\nAnswer: -382293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.72. Let u = 5.18 - 4.9075. Let m = a + u. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1323 - -2707\/2. Find the common denominator of (-13)\/((-390)\/(-4)) + (-723)\/990 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/(2\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6 + -1480.24823195.\nAnswer: -1482.84823195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 7*t - 3. Suppose 0 = 2*i + 2*p - 10, -p = -i + 1 + 6. Let a be d(i). Let j(h) = h**2 - 4*h**2 - a*h + 4*h**2. Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-175)*-5)\/(4\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 4*z + 5. Let k be p(10). Suppose -l + 152 = 5*w, 2*w + 3*l - k = 4*l. Let m = w - 18. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/12*(-1 + (-12)\/(-9)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 5*q**4 + 2*q**4)*(2088 - 3*q - 2088 + (0*q - q + 3*q)*(-2 - 1 + 2)) - 10*q**3 + 3*q**3 - 4*q**5 + 4*q**3.\nAnswer: 6*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 65 = n. Let t = -11 - n. Suppose 3*q - 50 = -0*z - 2*z, -t*z = -5*q - 34. What is the greatest common divisor of 88 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 42 + 19*v**2 - 4*v**3 + 41 + 3*v**4 + 7*v**3 in the form y*v**4 + x*v**3 + d + r*v + z*v**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.177165ug in nanograms?\nAnswer: 9177.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/507 and -7\/351.\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*((-9)\/594)\/((-2)\/6) and -29\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*x = 648*x - 15, -4*x = 9*j - 66 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (498*n - 1117*n + 524*n - 1917*n - 1846*n)*(-1 + 3*n + 1).\nAnswer: -11574*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*u - 5 = -u, 5*u = -2*l - 25. Suppose 2*z + 5*j = -10, 2*j = -3*z - l*j + 7. Suppose -z*x = o, -x + 2*x = 0. Let k(d) = -d - 5. Give k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 18 - 46 + 13)*(-25*v**3 - 29*v**3 - 33*v**3).\nAnswer: 348*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from {e: 5, s: 4, y: 5}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/9)\/(-8*(-4)\/24). Let r be 25\/2*120\/75. Suppose 4*p - r + 8 = 0. Solve 15 = p*l, -35 = -0*f - t*f - 4*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326542 - -24?\nAnswer: 326566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -277 in 9.1, -0.5, -1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4753 and 1257011651.\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Solve k*u + 2 = 3*i - 14, 2*i = 5*u + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let g(q) be the first derivative of -4*q**2 - 3*q + 128. Calculate g(w) + 6*p(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + sqrt(68)*1))\/((sqrt(88)\/sqrt(2))\/sqrt(11)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3436*-0.3.\nAnswer: -0.40308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 6\/5, -56 in decreasing order.\nAnswer: 6\/5, -0.5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i + 0*i**4 - 1\/60*i**6 + 0 + 0*i**3 - 1\/84*i**7 + 0*i**2 + 0*i**5. Let b(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/9 + 1 + -3. Suppose 2*u - 2*o + 24 = 6, -o = -5*u - 25. Put 3, y, u in descending order.\nAnswer: 3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phpp when four letters picked without replacement from phpxppppxppxpxpxxh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4db5 (base 16) to base 7\nAnswer: 111666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000788642 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -215\/23 (b) 4 (c) 5 (d) -0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2860 and 20?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i + 11. Let z be s(-8). Let t be 8\/28 + (-116)\/14. Let n = t + 3. Sort n, z, 6.\nAnswer: n, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b**2 + 2. Let c(w) = -3431*w**2 - 141. Give -2*c(p) - 141*v(p).\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22792*f + 45588*f - 22799*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778324.\nAnswer: 2, 19, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-119) + (-180)\/(-385)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 1657 - 1324 = 0. Suppose 6*i - 23 = w. Suppose p = 137 - i. Are p and 89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.29218 times 0.0079\nAnswer: 0.018108222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18\/(-8)*(-84)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**4 - o**3 - o**2 + o - 1. Let x(d) = 2*d**4 - 3*d**3 - 32*d**2 + 3*d - 3. Let k(w) = 3*g(w) - x(w). What is the third derivative of k(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*q + 94, 3554*q - 3551*q = 5*x - 155. Solve -53*w = x*w + 486 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430*m - 1434*m + 3*o = 51, -m = -5*m + 21*o - 357 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 12476 - 33390. Let d = 3828 - k. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 - (-6 + 6) - (16 + -11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 * -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21*i**(-16)*i)**(2\/25) assuming i is positive.\nAnswer: i**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/16514212 and 59\/1270324.\nAnswer: 16514212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 6. Let n(u) = 63*u - 41. Calculate the remainder when n(6) is divided by r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(1\/2)\/1. Let o be (-2 - r) + (6 - 3). Suppose o*d + 2*d + 60 = 4*y, 99 = 5*y + 3*d. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122480?\nAnswer: 2, 5, 23, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*q + (4 + 0 - 5)*(-3*q + 0*q + 2*q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 21) + 17 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3491\/299 + 265\/23. Let q = 15 + -59\/4. Let b = -860\/9 + 96. Sort q, b, o in decreasing order.\nAnswer: b, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 + -1.52. Let n = -2 - y. Which is the smallest value? (a) 4 (b) -5 (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-42))\/(24\/(-144)*-4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:29 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 + 2*f + 4. Let m be n(0). Solve -13*d + m = -11*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2\/19*w**3 + 0 + 0*w**2 + 0*w + 2\/19*w**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-16)\/(-12)*(-12)\/(-8) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5))**(-4\/15)\/((l*l*l\/(l**5\/l)*l)\/l**(-14)))**(1\/58) assuming l is positive.\nAnswer: l**(-527\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -223, -334, -445, -556?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 80. Suppose 0 = -10*l + 5*l + f. Suppose 2*p = -n + 35, p - 2*n - 33 = -l. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:59 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*h + 28217260 - 6042378. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.66007 months in decades?\nAnswer: 1.97216725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-248)\/(-3) - (-22)\/66?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 40, 3, -94, -269, -540, -925, -1442?\n\"Answer: -3*g**3 - 3*g**2 + 35*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**3 - 970*v**2 + 1898*v - 950. Let r(j) = 4*j**3 - 388*j**2 + 759*j - 380. Let t(y) = -5*b(y) + 12*r(y). What is g in t(g) = 0?\nAnswer: 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = i, -d + 0*i + 2*i - 1 = 0. Which is the nearest to 0.1? (a) 0.4 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - 23*j + 1 + 2*j**3 - 21*j - 73*j + 3*j**4 in the form v*j**2 + l + y*j**3 + f*j + a*j**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 + 136e?\nAnswer: 12a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162767743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8207554 rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.65 (b) 1\/9 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 60c (base 16) to base 12\nAnswer: a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 2*g + 2. Let w be j(-2). Is (2 - -2) + w\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 39.9971. What is w rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 588\/5*g**2 + 0 - 468\/5*g**3 + 27\/5*g**4 - 192\/5*g = 0.\nAnswer: 0, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-2)\/(3 - 5)). Suppose 163 = 3*y - f*y. Suppose 10*l - y = 477. What is the greatest common factor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 185 - (-1)\/(3 + 0 + -2). Let o = w + -112. Suppose j = -0*j + o. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 15*y = -4. Let q be 3*(-5 - y - -3). Calculate the remainder when (2 - (q + -5))*6 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**2 - 36811*w + 246557 wrt w?\nAnswer: -2*w - 36811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 1 - 7*m**2 + 7 + (m**2 + 4*m**2 - 3*m**2)*(-2 - 2 + 3) - 2*m**2 + 2*m - 2*m - m**2 + m**2 - 2*m**2.\nAnswer: -13*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u**2 - 1. Let w(y) = -y**3 + 4*y**2 + 54*y - 232. Calculate the remainder when j(-1) is divided by w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3106 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2 - 18584*b + 21585316 = 0.\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:15 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6401*f**2 - 3512 wrt f.\nAnswer: -12802*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*f = 2, -f - 4*f + 21 = -2*j. Let y = -1169 - -1173. Let h = 12 - 12. Sort h, y, j in decreasing order.\nAnswer: y, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w**(-16\/7)*w) assuming w is positive.\nAnswer: w**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 288330634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.701 + -2.299. Let y = 239.6 + -205. Let a = y + b. What is the third smallest value in -0.3, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 4*x)*(1 + 1 - 1) + 26 - 66 + 39 + 41*x.\nAnswer: 42*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/10 - 0 - 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2260 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyf when three letters picked without replacement from {n: 2, v: 2, f: 1, j: 1, y: 1, a: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2418269*q**3 + 14*q - 305131334.\nAnswer: 7254807*q**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 40. What is the highest common divisor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -40, 10, 3\/2, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/65)\/(4\/(-10)). Let a(z) = z**2 - 9*z + 12. Let p be a(8). Let b be (p\/(-35))\/((-4)\/10). Sort b, d, -3.\nAnswer: -3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16453853 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 230. Suppose n - s = 45. What is the highest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00265094 to 6 decimal places.\nAnswer: -0.002651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*j - 4*t, 33 = 3*j - t + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -4) + -12 + 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 9:58 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83\/3 - 3391\/123. Let g = p + 17\/246. Which is the third biggest value? (a) 0.5 (b) 3\/2 (c) 10 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/30 - 4*r**5\/15 + r**4\/2 + 25*r**2\/2 + 81*r. Let i(w) be the first derivative of v(w). Factor i(m).\nAnswer: 4*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:52 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 32. Let d be m - (-86)\/(-4)*-2. Let x = -39 + d. What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.00205041?\nAnswer: 4.00205041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -176*n + 1139. Determine g(5).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1035992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 c, and 1 h when four letters picked without replacement from {q: 1, h: 3, n: 7, c: 1, a: 4}?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 13*l**2 + 16*l + 46. Let f be (6 - 392\/21) + 12\/(-9). Is h(f) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 254?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 982*z - 17665. Determine m(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 6*f + 7. Let g be r(-2). Let o = 11.3 - 11.3. What is the second biggest value in o, -31, g, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3 + 5*a + 0*a - 5*a**2 - 2. Let d(n) be the second derivative of n**4\/3 - 2*n**3\/3 + 2*n**2 - 2*n. What is 4*d(c) + 3*r(c)?\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or -7\/2?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.012 or 9381374?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + -2 - sqrt(1300)) + 5)*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.439951 seconds in milliseconds?\nAnswer: 7439.951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, 1 u, and 1 y when four letters picked without replacement from {c: 9, y: 1, h: 2, u: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = 109*v - 434 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295.845 and 0.4.\nAnswer: -118.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 52557678*a**3 + a**2 + 81121*a - 275 wrt a.\nAnswer: 20*a**3 - 315346068*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1068\/(-1424))\/(8\/14 + (-1)\/(-28)*-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 671*p**6\/6 - 118*p**3\/3 - 209. Find the third derivative of h(i) wrt i.\nAnswer: 40260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -988 = 770*m - 782*m + 8. Let y(o) = o**3 + 6*o**2 + 3. Calculate the remainder when m is divided by y(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641645 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 3)*(r**2 - 4 + 4) + 164*r**2 + 84*r**2 - 17*r**2 in the form o*r + z*r**2 + b and give z.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334807 not equal to 334810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 + 104. Which is the nearest to -1.3? (a) -4 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4422540438 by 6.\nAnswer: -737090073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88406 = 2*a + 6*t, 2*t + 53677 = 4*a - 123121. Is 200 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*o**5 - 6*o**4 - 2051*o**2 wrt o.\nAnswer: 1560*o**2 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 10*d - 29\/3.\nAnswer: -(d - 29)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {q: 3, h: 3, o: 9, p: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -30. Find the third derivative of 4*b**2 + 46*b**5 - 33*b**2 - l*b**5 wrt b.\nAnswer: 1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5368194.2 rounded to the nearest one thousand?\nAnswer: 5368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5736, -1, 2, 159 in descending order.\nAnswer: 159, 2, -1, -5736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {z: 2, l: 4, v: 2, f: 3, y: 1, w: 8}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -180078, -180079, -180080?\n\"Answer: -s - 180077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 - 5*p - 2. Let r be a(-6). Let b = 10 + r. Suppose -4*h = -b*h - 138. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/3)\/((-8)\/(-24)). Suppose -2*m - w = -3*y, -12 = -y - m - 2. Solve 5*v - i - 24 + 5 = 0, 5*v - y*i = 35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7818530543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52854 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: Let z = -1155\/68 + 276\/17. Suppose 0 = -2*m - 4 - 4. Which is the closest to -2? (a) z (b) 0.1 (c) m (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 153 - 1165*f**3.\nAnswer: -1165*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 723 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 494736?\nAnswer: 494736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 42. Suppose 2*i - 4*i - t + 11 = 0, 0 = 2*i + 2*t - 12. Suppose 0 = -i*z - 0*z + 50. Solve s = -3*l + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e6413 + -5?\nAnswer: 1e640d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -790 - -794. Put -3, 2, -20, g in decreasing order.\nAnswer: g, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1087, 1071, 1055, 1039?\n\"Answer: -16*v + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w - 1 + 0 + 11*w + (-6 + 1 + 4)*(w - 4*w + 2*w) + (-1 + 1 + w)*(-4 - 3 - 9).\nAnswer: -19*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 277560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 12111 (b) 3 (c) 2 (d) -1 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqsk when four letters picked without replacement from {i: 1, k: 3, m: 2, q: 4, s: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 - w + 14. Let y = 3 + 0. Suppose 0 = 3*z + s - 2, -4*s + 8 = -4*z + y*z. Is l(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 302864441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 22410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -13 + 11 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7268 is divided by 651?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/113 (b) 0 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 374471509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 2. What is p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 h, and 1 i when four letters picked without replacement from igghgihg.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = -18 + 50, -5*z - y + 116 = 0. Suppose 5*h - 128 + 18 = 0. What is the remainder when z is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbvbbbbvvbbbbv. What is prob of sequence vb?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:35 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 10. Suppose 3*k - 14 = k. Is 13 a factor of n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 39*m - 4. Let x(w) = -8*w**2 + 79*w - 9. Calculate -9*t(s) + 4*x(s).\nAnswer: -5*s**2 - 35*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*m**3 - 506766*m**2 + 436093*m - 50 wrt m.\nAnswer: -168*m - 1013532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.87 at most as big as 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d + d**2 - 36 + 9 + 13 + 13 as x*d + z + n*d**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -335010 divided by -33501\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 = -m, 5*m + c = 2*c + 43. What is the second derivative of -3*j**4 + j + 3*j**4 - m*j**5 + 3*j**5 wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 7. Suppose 0 = v*k - 2*k - 44. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42020437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d - 155 = -4*i, 0 = 3*i - 5*d - 115. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-257152)\/(-19188))\/392*(-18)\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30*-5)\/((-18)\/396).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/4, 435.1, -2\/11, -4, 0 in ascending order.\nAnswer: -4, -2\/11, 0, 9\/4, 435.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 - 61*r**2 - 50*r + 30. Calculate y(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7 + 2*v**2 + 16 - 9. Let h(b) = -4*b**2 - 3*b + 3. Let g(f) = -f**2 - f + 1. Let a(t) = -6*g(t) + 2*h(t). Determine l(a(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1757258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -480 - -255. Let o be 336\/180 + (-5)\/(s\/6). Solve -4*y + n - 3 = 0, -o*n - 3*n + 15 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6735 + 3.7735. What is the fourth biggest value in 0.04, -5, -1, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*o**2)*(-61*o + 759 - 759) in the form p*o + q + u*o**2 + d*o**3 and give d.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 776 + -772. What is the remainder when 69 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 6*w - 1. Suppose -6 = 3*r - 3*v - 0, 3*v - 20 = 5*r. Calculate l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -0.2, 5 in descending order.\nAnswer: 202, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*x - 257*x**3 + 50*x - 2 + 33*x + 17*x wrt x.\nAnswer: -1542*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/15 - 964*f**2\/15 + 23800*f\/3 - 226576\/5 = 0.\nAnswer: 6, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*c - 200*c + 2*n + 3, 3*c + 87 = -90*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*t - 28 = -213*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/2 + 6*u**3 + 22*u**2 - 274. Factor r(p).\nAnswer: -2*p*(p - 11)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.33 - -15.84. Let d = -0.93 - 0.07. Are o and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4498*x - 4647*x + 1788 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*g - 10030 = -h - 10129, 0 = h + 21*g + 612 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 88*x**4 + 500*x**3 - 416*x**2 = 0.\nAnswer: 0, 1, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/120 - b**5\/40 - b**3 + 1. Let y(r) be the third derivative of n(r). What is the second derivative of y(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and 4\/(-9)*(-642)\/16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a century in months?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48.2 and 6168.\nAnswer: 297297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534182 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + -2 - -3) + 88. Let k = -95 + n. Is (-38073)\/k + (-2)\/(3 - 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 95612870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 0 (b) -0.1 (c) -0.3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -4, -3, -357, 0.1 in decreasing order.\nAnswer: 19, 0.1, -3, -4, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 121418540*t - 364255575.\nAnswer: -5*(t - 24283705)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.266 + 0.174. Let w = t + -2.44. Let k = 6 + -4. What is the nearest to -1\/4 in k, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-1824)*-2)\/(6\/8)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f - 13*f + 3*f + 5*f + 5*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 227389.\nAnswer: 341083.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1\/2 (c) 3\/4 (d) 15\/2 (e) 3 (f) -105 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 124*h**2 + 205*h + 155. What is the remainder when a(-64) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2259*g**2*u**2 + 2*g*u - 2*u**2 - 25*u wrt g?\nAnswer: 4518*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2329028 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.85 + -0.15. Let i = 44 + -50. Let o = f - i. Which is the third biggest value? (a) 1\/6 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -18*g + 23*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*j - 47. Calculate the remainder when (4 - 3)\/((-3)\/j) is divided by (1 + 0 + -2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-2387)\/(-22). Let o = y + 109. Let m(s) = s - 1. Let j(i) = -9*i + 3. Calculate o*j(q) + 4*m(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769817.9 millennia to months.\nAnswer: 9237814800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 281, 3.14, 3\/4, 3, 2, -6\/11, -2\/3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476639002?\nAnswer: 2, 738319501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 25. Let s be (-4)\/(-10) - 2\/o. Suppose s = j - 0 - 1. Let z(c) = -7*c**2 + c - 1. What is z(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(108 - (9 - -5))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 - 2985\/19. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7506, -7508, -7510, -7512, -7514?\n\"Answer: -2*s - 7504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 1, d: 2, p: 1, c: 2, z: 1}. What is prob of picking 1 i, 1 t, 1 p, and 1 z?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-6)\/4) + -2 + 7. Let t be h - ((-4)\/(-6) + (-16)\/6). Find the second derivative of 9*u**5 - u**5 - 10*u + u**t wrt u.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320382 is divided by 1731?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145345\/29 + 5012. What is the nearest to i in 0, -5\/4, 0.3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-3\/10))\/t))\/(t**3*t))**29 assuming t is positive.\nAnswer: t**(-957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 78*r**2 - 156*r - 277. Give d(-76).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18416*t**2 + 0*t + t + 2443*t**2.\nAnswer: 20859*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*2*(-1 + (-4*(0 + sqrt(2299)) + (0 + sqrt(2299))*-3)**2).\nAnswer: 4506000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26250098 and 8930946.\nAnswer: 35181044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/40 - -1) + (-3)\/5. Put 11, 5, v in increasing order.\nAnswer: v, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2, 0.9, -126\/11, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 3?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 12*j - 3 + 4 + 4 - 2. Let x be n(-10). What is x rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(0 - h + 0) + 0*h + h + h + 258*h - 14 - 303*h - 13 to l + n*h and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*r**3 - 32*r**3 - 32*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/360*3\/(-14)*3*(-133)\/228?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -151*p**3 - 7*p - 341. Let g(r) = 149*r**3 + 6*r + 340. Let b(h) = 7*g(h) + 6*y(h). What is the first derivative of b(m) wrt m?\nAnswer: 411*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068*-205.3\nAnswer: 13.9604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2573984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*t**2 - 1 + 20*t**3 + 44*t**2 - 16*t**3 - 32*t**3.\nAnswer: -28*t**3 + 134*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 1. Let q(y) = -4*y**2 + 44*y + 3. Calculate -q(o) + 5*w(o).\nAnswer: -o**2 - 49*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 19*t**2 + 31*t + 22. Give w(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28735 bigger than -28736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 5 - 5)*(-3*l - l - 2*l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s + 6. Suppose 0*b = 3*b - 9. Suppose 2*d + 28 = -4*w - 3*d, 0 = -b*d. What is the tens digit of g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1241.683 at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from qooqooqoqoqqooqqoq?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1324 - 2?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5*(9 + 96)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7106044.09*1\nAnswer: -7106044.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = 0, 8*o - 2*n = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 3*m + 3*m + (1 - 1 - 1)*(0*m - 4*m + 2*m))*(-2*m - m + 10*m).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296208 and 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006947 rounded to 4 dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1090.86 - -12.54. Round o to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(30\/(-25)) + (-1)\/(-2). Solve -m = 3*u - 0, -5 = -3*j + 5*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/3)*y)\/y**(-6)*(y\/(((y**1*y)\/y*y*y)\/y))**(-14))**(17\/5))**(-1\/45) assuming y is positive.\nAnswer: y**(-221\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1431*f**2. Let v(x) = 61*x**2. Calculate a(v(q)).\nAnswer: -5324751*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 3. Let u(s) be the second derivative of s**4\/4 + 83*s. Give f(u(p)).\nAnswer: 3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*r - 272 = -293, 15*r - 14*r = -2*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose 25 = -5*d - p*d, 5*d = 3*v - 127. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-2)\/m)*m*m)\/m**(-1\/7))\/(m**11\/m*((m*m**15)\/m)\/m))**38 assuming m is positive.\nAnswer: m**(-5016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55534*q = -55542*q - 304 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - -0.01. Let a = -5.05 - k. Let j be (-1 + 2)*6\/(-39). Sort j, a, -1 in descending order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 - 18*z**2 - 41*z - 5. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Let n(c) = 8*c - 5. Give -n(r) + 6*t(r).\nAnswer: -2*r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 5*p**2 + p - 4*p**2 - 1 + 5*p - 7*p + p**3 to the form j*p**3 + w*p + a + r*p**2 + i*p**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + (-92)\/(-12) + 2)\/((-1)\/432). Calculate the greatest common divisor of n and 1936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 1 + 8*o**2 - 6*o**2 - 1.\nAnswer: 10*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/5 - 4*a**3\/5 - 8*a**2\/5.\nAnswer: 4*a**2*(a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1)*(16 + -15). Suppose -u + 1 = -b. Suppose 5*i - 4*k = 24, -u*k = -i - 2*i + 16. Solve 3*f - 1 = i*o - 5, 0 = -2*o - 4*f + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -5*j - 150. Suppose -4*v + 460 = -344. Let p = -86 + v. Calculate the greatest common factor of p and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0, -3 in increasing order.\nAnswer: -3, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -735.62 + -2.1?\nAnswer: -737.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/237 - -452\/2607. Let j = 15.61 + -15.91. Which is the nearest to k? (a) j (b) -1\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19022 divided by 2\nAnswer: 9511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-49 - (6 + -63)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose c*b = 4*b + 10. Does 6 divide 4\/b - 1485\/(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7. Let r(b) be the first derivative of 0*b - 1\/2*b**4 + b**2 - 2\/3*b**3 - x + 2\/5*b**5. Factor r(g).\nAnswer: 2*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 144*p**2 - 141*p.\nAnswer: -3*p*(p + 1)*(p + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 2*f - 19 = b, 16 = 2*b + 5*f. Let a be -886 + ((-6)\/(-1) - 3) + b. Round a to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/3)\/(-5)*-30. Let g be k\/6*6\/(-5). Differentiate -5 + g - 3*q + 4*q + 3*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-5)*(-2)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 5. Let v be d(6). Let n be (-2)\/(-40) - v\/5. What is the closest to n in 1, -4\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493896481 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 2. Let s = -0.5 - 0.5. Which is the closest to s? (a) 0 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j*s**3*x**3 - 2*j*s**3*x**2 + 295*s**3*x**3 - 3*s**3*x**2 - s**3*x - s**3 + 37*s*x**2 wrt x?\nAnswer: 42*j*s**3 + 1770*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/24 - ((19 - 14) + (-3 - 5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -21*x - 1. Let a be z(1). Let l = -13 - a. What is the remainder when l is divided by 5 + ((-384)\/(-6))\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 32207*f**3 - 47892*f**3 + 4 + 15677*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**5 - 10*g**2 - 11*g + 11. Let v(m) = 3*m**5 - 3*m**2 - 4*m + 4. Let u(j) = -4*c(j) + 11*v(j). Find the third derivative of u(l) wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 3537\/763?\nAnswer: 3537\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -912363*p**3*q**2 + 36*p**2*q**2 + 2*p**2*q - 351*p*q**2 - 2*p*q - 5*p wrt p.\nAnswer: -5474178*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -542 - -551. Suppose 4*g = -3*c + 38, 3*c + 5*g - 3 = 40. Suppose 0 = -0*w - 2*w + c. Put w, l, 5 in descending order.\nAnswer: l, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 9 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -727 + 727. Solve u = 3*l - 7 - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -589c (base 13) to base 12\nAnswer: -726a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1042 + -2?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/54 and -19\/3717.\nAnswer: 22302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307.341um in nanometers?\nAnswer: 1307341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -860, -0.3, -2\/3, 1, 0.\nAnswer: -860, -2\/3, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-25)\/((-25)\/(-6)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:24 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 4\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 15*t - 20. Suppose 3 + 7 = -2*n - u, 4*u = -t*n - 25. Suppose -5*s - 4*m + 16 = 0, -3*s = -7*m + 2*m - 17. Sort -2, 3, n, s in increasing order.\nAnswer: n, -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w. Let h be w\/2 + (-1 - -1). Suppose h*k + 117 = 3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x*z**3 - 40073*x*z**2 - 19743208*x - 19*z**3 - 2*z wrt z.\nAnswer: -6*x*z - 80146*x - 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) -3 (b) -4 (c) 43.95 (d) -0.2 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 27*c**2. Let g(j) = 4*j + 7712. Give g(z(h)).\nAnswer: 108*h**2 + 7712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -104256 (base 8) in base 15?\nAnswer: -a57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.3 + 11.7. Let o = 67 - r. Sort o, -5, -9 in ascending order.\nAnswer: -9, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 7 = -21*b + 5*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164057 at most 164055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*i**2 - 33*i**2 - 5*i**3 + (2 - 2 - i**3)*(-1 - 1 + 0))*(2*i + 154*i - 21*i).\nAnswer: -405*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10393 and 4923.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwpwp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.6766 - 5.1162?\nAnswer: -84.7928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Work out -390472879 + -476.17.\nAnswer: -390473355.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u - 36. Suppose -8*y + 3*y = 25. Let t = 21 + y. What is the remainder when t is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2\/11 + 4626478*u\/11 + 578310\/11.\nAnswer: -2*(u - 289155)*(8*u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.12 and -0.1?\nAnswer: -1.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312313333 - 21?\nAnswer: -3312320020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**2 - 32355*n - 50919190 = 0.\nAnswer: -3769, -2702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4760?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 3*m. Let b be (-15)\/6*(0 + 2). Let g(l) = l - 3*l**2 + l + 2*l. Let q(s) = b*g(s) + 8*r(s). What is the second derivative of q(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96071, 192080, 288077, 384056, 480011, 575936, 671825?\n\"Answer: -y**3 + 96016*y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19286 - -108617. Suppose x = -o - 30665. Let m be o\/2 + (-1 - 1). What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-1\/4)*t\/(t\/(t\/(t*t**(-4)))*t)*t\/(t**(-3\/4)\/t)*(t\/(t\/((t*(t**(5\/6)*t)\/t)\/t))*t*t*t\/t**(-7)*t*t*t)**(2\/37) assuming t is positive.\nAnswer: t**(19973\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (6*(sqrt(119) - -1*sqrt(119)) + sqrt(119))) + sqrt(119) - sqrt(119))\/(1*sqrt(700) + sqrt(700)).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.7 - -1.7. What is the third smallest value in -0.5, 3, -5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u**3 + 11*u - 11. Suppose -129 = -22*p - 63. Let b be p\/(2 + 22\/(-8)). Let t(k) = 11*k**3 - 4*k + 4. Give b*h(w) - 11*t(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 + 17*b**4\/24 - 5*b**3\/6 - 166*b**2. Calculate p(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/(-35)*(1 - 151)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 + 1 - 1)*(2717*k - 2717*k + 92*k**2) + 3*k**4 - 3*k**4 + k**4 as b + p*k**2 + c*k**4 + y*k**3 + m*k and give c.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r + 80. Suppose -r*w + 510 = w. Calculate the highest common factor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/7 + 10836*u**4 + 68656704*u**3 + 14366900178*u**2\/7 + 108594409725*u\/7 + 94708030626\/7 = 0 for u.\nAnswer: -12627, -18, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-53040)\/10880)\/(1\/8*6)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 2. Suppose 6*w - t = 4*w. Let k = w - 57. Calculate the smallest common multiple of 10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 276, 1032, 2292, 4056, 6324, 9096, 12372?\n\"Answer: 252*t**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 124115124 (base 6) to base 13\nAnswer: 673c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/12560 and -53\/480.\nAnswer: 75360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10110100100 (base 2) to base 8\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20354 * -1182.7.\nAnswer: -24072675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -150*o + 123. Calculate the remainder when a(-7) is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108633\/(-31038)*(10\/14)\/(19\/(-4) + 2)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5024.97 - -4871. Round t to the nearest integer.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (8 - 1 - -7 - 39)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) - (3 - (-61809)\/(-21)). What is g rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = -24. Suppose 4*h = 6*h + 8. Let w = a + h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 229 + 695 = 322 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 197044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 718447 at most 718445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163986*u = -161964*u + 8088 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525428 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 330766 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 0 + 36 = 0. Suppose -7453535 = l*t + 2866465. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.348 - 1.348. Which is the fourth smallest value? (a) 3 (b) 0.3 (c) -1\/3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 0*l + 2*l - l**4 - 1 - 3*l as z + i*l**3 + n*l + g*l**4 + p*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 29*l - 417. Let c be v(22). Calculate the greatest common divisor of 78 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 63 + 9)*(3*x - 3*x + x**3).\nAnswer: 78*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*x**4 - x + 0*x + 6 + 6*x**2 - 6 as w*x + n*x**3 + z + o*x**2 + k*x**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -429*h**4 - 73.\nAnswer: -1716*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/21 - (156\/126 + -1). Let p be (3\/25)\/((-5)\/180). Let g = p + 106\/25. What is the biggest value in -0.3, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 719396.559ms?\nAnswer: 0.0011894784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -91. Let u(z) be the third derivative of 7*z**2 + 1\/20*z**5 + p*z**4 + 0 - 1\/120*z**6 + 0*z**3 + 0*z. What is the third derivative of u(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 7.4. Let n = l + -43. Suppose -3*p - 15 = -4*s, 2*s - 4 - 2 = 0. Do p and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let g(d) = -105*d + 65. Let b(c) = -3256*c + 2002. Let s(u) = 5*b(u) - 154*g(u). Calculate s(h(l)).\nAnswer: 110*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 7\/2, -1\/2, -19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z - 9. Suppose 4*v = -4*j + 3 - 11, -4*v + j - 28 = 0. Let g be 4\/3 + v\/z. Solve -w = -3*r + 4, 0 = -3*r + r + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81+-115040457817\nAnswer: -115040457898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:39 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2759*t = 989*t + 11631 + 29079 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrrggogojorxhrgo. Give prob of picking 1 g and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**3\/13 + 176*s**2\/13 - 58*s\/13 = 0.\nAnswer: 0, 1\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*q = -1, -172*n - 2*q = -167*n - 55 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118765778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/44)\/((-3)\/12). Let r = -50 - -48. Which is the nearest to -2\/7? (a) r (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/21)*o)\/(o\/o**11) assuming o is positive.\nAnswer: o**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63578.5? (a) 5 (b) 23 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 24. Let t be u(-10). What is the remainder when -1*(4 - 4 - t - 0) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exg when three letters picked without replacement from {p: 1, e: 1, v: 2, g: 1, x: 1, l: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7160323.\nAnswer: 79, 233, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(200)*2 - sqrt(200))**2.\nAnswer: -836 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (0\/13 + (-4)\/(-1)). Suppose -a + 4*a = -k*r + 9, 3*r - 15 = -4*a. Calculate the lowest common multiple of 12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -3*d, 3*d + 4 = 4*u + 14. Let x(l) = 6 + 4*l - 3*l + d - 4. Give x(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/350)\/((-3)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 9 + 7)*(63 + 91 - 22)*(w**2 + 0*w**2 + w**2)*(4 - 4 - 2).\nAnswer: -16368*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -163\/22 (b) 2\/19 (c) 3\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7804075 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 20) + (-3 - (5 - 9)) + 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 1768, 2648, 3528, 4408?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 3*w + 4*g, 0 = 3*w - 4*g - 127 - 124. Is w a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z - 26 = -5, o = -3*z - 7. Let u(n) = -n**3 - 9*n**2 + 7*n + 4. Let g be u(o). Suppose -3*c - g = -154. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 6*c + 3. Let g be h(-3). Let d be (2 - -2)*(g\/12 + -1). Solve 2*f = -f - d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42016 + 1045?\nAnswer: 43062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = 2*t, 3*t - 4*r - r + 9 = 0. Suppose 3*n - 23 = 2*c, 2*n = 2*c + 20 - 2. Let z(q) = 2*q - 8. Let d be z(6). Solve t = -n*u + d*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94042247 is divided by 112?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 22 - 62. Let x be (-14)\/11 + c\/(-8). Suppose -2*w + 2*k = 6, 12 = 4*w + k + k. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 + 1370466*s + 161756760 = 0?\nAnswer: -118, 456940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u)*(4*u**2 - 4*u**2 - 2*u**2 - 2*u**2 + 0*u**2 + 0*u**2 + (-3*u - u + 3*u)*(0 - u + 0)) + 4*u**3 + 2*u**3 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*r - 8*r + u - 495 + 523, -4*r - 16 = 2*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*s**2*y**3 + 3*s**2 - 2*s*y**2 - s*y + 56*y**3 wrt s.\nAnswer: 48*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(80\/15) + (-183)\/(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020120 (base 3) to base 10.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:28 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + f + 1. Let l be v(-1). Suppose -12 = -3*z + 5*r, 6*z - 14*z + 32 = -3*r. Sort 3, z, l, -3 in descending order.\nAnswer: z, 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37350 and 2?\nAnswer: 37350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2021*u**2 + 0*u**3 - u**3 + 265 - 265 as w*u**2 + n*u**3 + s*u + b and give w.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 175 = -8*o. Suppose -3*y = -7*y + o. Put 0, y, 4 in descending order.\nAnswer: y, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 397840154*s**2 + 189731369 wrt s?\nAnswer: 795680308*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d - 5*k + 346, -3*d + 2*k = -481. Suppose -6*l = -2*l - 5*n - 655, l = n + d. Calculate the remainder when l is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.094*110\nAnswer: 10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228768640 and 2880.\nAnswer: 2058917760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*c + 205*c = -1985 + 23765 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*m + 158 = 0, 4*g + 3*m - 4*m = 295. Let k = g + -40. Calculate the least common multiple of 9 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13224655*-0.21\nAnswer: 2777177.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -35*w - 5. Let h(n) = -18*n - 3. Let l(d) = 3*g(d) - 5*h(d). Let c(f) = 2*f**2. Calculate l(c(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 6. Let u = z + -7. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 13*g - 21*g. Calculate the highest common factor of 228 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 859051.\nAnswer: 5154306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 24 = 11 + 85. Solve 0 = -q + g - m, -2*q + 4*g - 4 = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 29*z - 760.\nAnswer: -(z + 40)*(z + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51446, 205666, 462724, 822644, 1285450, 1851166, 2519816?\n\"Answer: 4*k**3 + 51395*k**2 + 7*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1213 - 1187. Let x(v) = -2*v**3 - 4*v**2 - 7*v + 8. Let i be x(-6). What is the greatest common divisor of i and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3, -3\/5, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/((g**(-2\/17)\/g*g)\/g))\/g)\/g))\/(g*g*g**9*g) assuming g is positive.\nAnswer: g**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) 3 (c) 1\/25 (d) 0.02 (e) -0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75, -192, -317, -456, -615, -800?\n\"Answer: -f**3 + 2*f**2 - 116*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let m(y) = 955*y**2 + 8815*y - 8815*y. Give m(d(b)).\nAnswer: 8595*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -1. Let j(z) be the third derivative of -z**4\/3 + 3*z**3\/2 - 32*z**2. Let c be j(3). Is p at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u - 31. Let f(j) = -4*j + 11. Let p(c) = 17*f(c) + 6*y(c). Let t(s) = -111 - 114 - 117 - 3*s + 343. What is 5*p(i) - 4*t(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5174*g**2 + 13211*g**2 + 2565*g**2.\nAnswer: 20950*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1000?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t - 6. Suppose -5*a = -2*k - 10, 4*k - 2*a + 0*a - 12 = 0. Let w be s(k). Let y = -40 - w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 7:04 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 4*g)*(0*g - g + 3*g) + 0 - g**2 + 0 + 3*g**2 - g**2 - g**2 + 19*g**2 - 3312 + 3312 + (10*g - 5*g + 5*g)*(-g + g - 2*g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from {u: 16, l: 4}?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44388.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -29?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24156 - 24159. Let q = -4 - -6. Let o = -1.9 + q. Which is the closest to -2\/3? (a) f (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -14.38.\nAnswer: -488.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2039288 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36316768 and 17888?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/6)\/(-5)*9. Let h be ((-3)\/(-3) - t)*-1. Let j(n) = n**3 + 5*n**2 + 5*n + 4. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 4*n - 4, -9464*n = 3*d - 9459*n - 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -31, 2.\nAnswer: -31, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from kikksoioiokiz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n = 97 + 99 + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 3*u + 2. Let t(c) = c**3 - 6*c**2 - 14*c - 19. Let f be t(8). Let o = 1 + -5. Let m be (-1)\/f*0 + (-1 - o). Determine q(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -60303?\nAnswer: -60327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 7341030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + y + 11 = 3*n, 13 = -3*n + 4*y. Which is bigger: -1.1 or n?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 849*k - 1128*k + 1826 + 6645 + 1573 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:25 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Suppose -4*k + h + 11 = 4*l, 2*l + 12 = 4*k. Suppose 19 = 2*s - k*t, -5*s + 4*t - 7 + 37 = 0. Solve 0 = 3*n + s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w - 238891 = -236131 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(150) - (3*sqrt(150) + sqrt(150))).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -97, 3\/2, -0.3 in decreasing order.\nAnswer: 3\/2, -1\/9, -0.3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*l**4*o + 12*l**3*o**2 - 402552*l*o**2 + 2*l wrt l.\nAnswer: -1140*l**2*o + 72*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 1. Let l(c) = -c**3 - 7*c**2 + 7*c + 13. Let j(n) = -l(n) - 6*r(n). Let q be j(-7). Is 2\/63 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from siseeiesisssssse.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.8 + 7. Let g = 0.7 - t. What is the third biggest value in g, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 4 = 0. Suppose 3*y = -2 + 11. Suppose y*q + 6 = 21. Put q, -3, j in decreasing order.\nAnswer: q, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 60 = -3*i. Let z = i + -14. What is the greatest common divisor of z and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283586 less than or equal to -283591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772 - 10*x - 313 - 342 + 4*x - 117.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*o - 2*l, -113*o + 2*l + 30 = -117*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 4*c**2 - 3*c + 89. Let l(h) = 3*h**3 + 3*h**2 - 2*h + 89. Let p(m) = -2*d(m) + 3*l(m). Is p(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 4. Let j be h(4). Let z be 2*(-10)\/j*2. What is the second derivative of -3*k**5 - z*k + 3*k**5 - k**5 + 2*k wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 3*d + 4. Let o be s(-4). Suppose 0 = -5*x + x + o. What is the first derivative of 2 + 3 - x - k**4 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/7 and -53\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -w - 14, 3*l + l = -3*w - 47. Let x(u) = -3*u - 11. Let s be x(w). Differentiate -8*j**3 + s - 9 + 25*j**3 wrt j.\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 8*j - 28*j + 4*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651186 is divided by 176.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 4*q + 14. Let p be c(-4). Let s(r) = -19*r - 27. Let k be s(p). Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1593 - 0.0593. Is n not equal to -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/103 + -304\/515. Suppose -5*k + 2*j = -40, 5*j = k + 3*k - 15. Let m be 2\/((k + -9)\/((-4)\/(-14))). Put 4, m, q in decreasing order.\nAnswer: 4, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22931*p**3 + 4*p**2 + 1564*p wrt p.\nAnswer: 137586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 14*h - 4. Let t be m(11). Suppose -2*l + 5*g = -t, -2*l + 4*g = -6*l - 12. What is the highest common factor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from {w: 6, m: 3, j: 1, l: 5, u: 2}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*y + 2 + (0 + 0 + 3)*(72 - 72 + 113*y).\nAnswer: 337*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2992783 greater than -2992754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6467 - -7241. What is the greatest common factor of k and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 578 = -2*k, 5*v + 444 = -4*k + 1884. Let b be 1\/(-4) + v\/(-16). Let r be ((-30)\/b)\/((-1)\/(-3)). Solve 3*s + r = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 + -18 + (-3)\/(-36)*2. What is the smallest value in -1\/6, 0, i, 13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 2, r: 2}. What is prob of sequence gghg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 930 in 1, -0.4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -5664 = -5664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 154. Suppose -w = -a, -9*w - a = -5*w - g. What is the highest common factor of w and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-14)\/4*(-14)\/(-196).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300944 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6320438244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 738.85 + -700. Let g = n - 39. Let k = g - -0.05. Which is the nearest to -0.1? (a) 5 (b) -0.09 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*y + y - 336, -5*y + 4*j + 456 = 0. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 - 47*k**2 + 69*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-9) + (-6 - 160\/(-30)). Let t = 0 + 2. What is the smallest value in -5\/4, u, t?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3 + 147 = 3*v. Calculate the highest common factor of 5248 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**3 + 0*v**2)*(17*v - 2*v - 4*v + (-3 + 2*v + 3)*(2 - 7 + 2) + 5*v + 23*v + v).\nAnswer: -68*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 1 = 0. Suppose -4*y + 10 = g*p, 3 - 1 = -5*p - y. What is the lowest common multiple of 0 - (-1 + p - 1) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13174238 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.19 + 1.09. Let t = j + 14.1. Let f = 0.108 + -2.108. Which is the closest to -1.1? (a) t (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 708101665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/9 - 1980*x**2 - 5880600*x - 11345. Determine l so that n(l) = 0.\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 10*q**2 - 7*q - 30. Let c be u(-8). Calculate the common denominator of -5\/19 and 910\/(-36) + c\/(-27) + -4.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.922 times -149\nAnswer: -137.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 20*t**2 - 43*t - 19. Let l be i(22). What is the second derivative of -6365*n**l + 119*n**5 + 6365*n**3 + 148*n wrt n?\nAnswer: 2380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 + 7*b - 5. Give h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 + 3*y**2)*(1 - 1 + y**2) + 11*y**4 - 25*y**4 - 10*y**4 + (-y**3 - 2 + 2)*(3*y + 2 - 2).\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 880703475 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Let k be 20\/(-72) + (-1)\/(-2). Let o = -8 - -10. Which is the closest to o? (a) 1\/3 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90068, 180127, 270186, 360245, 450304?\nAnswer: 540363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 2\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-4\/43))**1*(p**(-1))**(-16\/7)*(p\/(p\/p**(-2\/7)*p))**(2\/7) assuming p is positive.\nAnswer: p**(11930\/6321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 12. Let h be k(12). Suppose -8 = -h*q - 2*q. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/14*770\/1375.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from ppsauuauadsusa?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2213 and 4.\nAnswer: 8852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*p**3 + 129*p**3 + 94*p**4 - 92*p**4 - 51*p**2 + 4019 + 13*p**2 - 62*p**3 wrt p?\nAnswer: 8*p**3 + 18*p**2 - 76*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1268275 and 208550?\nAnswer: 109071650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17437.\nAnswer: 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 18. Let k = 8 - 5. Suppose 33 = o*b - 4*b + k*w, b - 6 = 2*w. What is the greatest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jjxxjjx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 16*x + 8. Let m be ((-230)\/23 + 43\/4)\/(9\/24). Let d(n) = -n**2 - 4*n + 2. Determine m*g(b) - 9*d(b).\nAnswer: b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2530)\/(-345) + 2\/(-6) - 7. Solve 14*q - 38 - 60 = p for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 + 2*p**2 + 2*p**2 + p**2 - 2*p**2 + (2*p - 4*p + 4*p)*(p - 3*p + p) - 73*p - 25*p**2 + 73*p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + f. Suppose -3*s = 2*s + 5. Let z(l) = 4*l**2 - 10*l + 2. Let c(x) = s*z(x) - 3*d(x). Let o(b) = -66*b + 470. Let i be o(7). Calculate c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, 4, -0.4, -1\/30046?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:54 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.55309 litres?\nAnswer: 77553.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2299266 and -113\/22410.\nAnswer: 11496330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - -6*(-4)\/8. Let y(o) = -o**3 + 6*o**2 - 5. Let z be y(k). Let z + 17*g + 3*g**2 + g + 0*g**2 = 0. What is g?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txvvflftovt. Give prob of picking 1 o and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Solve -z*j - 16 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from eqiitiziziiz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1416480 by 9080.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 38*u + 162 = 39*u. Let m = 1 + -1. Put u, -1, m in increasing order.\nAnswer: -1, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*768.4\nAnswer: -138.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (75 + -35 + -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(171) + sqrt(171)) + (sqrt(171) + 3*sqrt(171))*-6)\/(-1*sqrt(1089) - (-3*(sqrt(9) + sqrt(144)) - sqrt(9))).\nAnswer: -26*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.47 - 27.33. Let k = r - -28. Let z = -12 - -14. What is the third smallest value in z, -0.7, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -425, -1003, -1579, -2153?\n\"Answer: c**2 - 581*c + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b*r**2 - 273*b*r - 1752*r**2 + 1 with respect to b.\nAnswer: 10*r**2 - 273*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 14, 24, 36, 50, 66, 84?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 4*c + 5, -1663*k = -1667*k + 8*c - 68 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/252 and -61\/948?\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1396\/349)\/(8\/46).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z. Let h(k) be the second derivative of -5*k**4\/6 + 64*k. What is q(h(s))?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c + 0*c - c**2 - 7*c + 3*c**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16721 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*g**3 - 1355*g**3 + 240*g**3 - 1535*g - 1051*g**3 wrt g.\nAnswer: -14310*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*b**3 + 150*b**3 - 103*b**3.\nAnswer: -439*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1287683.4 to the nearest one thousand.\nAnswer: 1288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2. Suppose l = -x*l + 45. Calculate the highest common divisor of 60 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose -4*g = -n*x - 38, x + 3*x + 43 = 5*g. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121696 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/80 and 29\/1746624.\nAnswer: 8733120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 0*n + 0*n**2 - 61 + 2\/3*n**3. Let j(a) = a. What is j(c(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/157 - 88223\/1727. Let l = 51 + f. Put 3\/2, l, -3 in increasing order.\nAnswer: -3, l, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35402 divided by 4.\nAnswer: 17701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*o + 6, 0 = 3*o + 4*a - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 491920*s**2\/3 - 7872256*s.\nAnswer: 2*s*(s - 246008)*(s + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - j**2 - j. Let f(g) be the second derivative of g**4\/12 + 5*g**3\/6 - g**2\/2 - 2*g. Let v be f(-5). What is i(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)*s)\/s*(s\/s**(-2\/9))\/s assuming s is positive.\nAnswer: s**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3747052 is divided by 3891?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -1\/60*y**6 - y - 5\/12*y**4 + 2\/15*y**5 + 0 + 5*y**2 + 2\/3*y**3. Let v(a) be the first derivative of i(a). Factor v(f).\nAnswer: -2*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let n(a) be the second derivative of 20*a**3\/3 + 147*a. Determine n(t(v)).\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 999, 1014, 1029, 1044?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264729233.\nAnswer: 13, 174209941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 24 = -8*y. Suppose y*i - 12*i = 0. Solve 3*f + i - 8 = l, -9 = -3*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 45 = 15*a. Let t(v) = 9*v**2 - v. Let o be t(-1). What is the greatest common factor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89, 69, 51, 35, 21, 9?\n\"Answer: n**2 - 23*n + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(117) + -4*(sqrt(117) + sqrt(117) + 3 + sqrt(117)) + 1 + sqrt(117) + -1)**2.\nAnswer: 3600*sqrt(13) + 59220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 60.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10960381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1238 + 1208. Let p = -28.908 - 1.442. Let l = u - p. Round l to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 5. Let u be (-2 - -5) + (x - -1). Let j be 53\/((-5883)\/296)*36\/(-32). Solve -y = u - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6575426 (base 8) to base 4\nAnswer: 12233230112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 2, b: 1}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 - 115. Let b = k + 193. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 9:41 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(((-1150)\/20)\/(-23)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 1, -1, -5, -4 in decreasing order.\nAnswer: 50, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 2 b when four letters picked without replacement from {v: 7, z: 3, i: 2, b: 7}.\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110001110000100?\nAnswer: 110001110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23675 - -60834. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443 + 23244?\nAnswer: 22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = -15*m - 8*m + 923. Solve m*k = k + 88 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -245*f + 192. Let j(y) = 122*y - 95. Let k(g) = -11*j(g) - 6*u(g). Is k(35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/22119180 and 49\/72?\nAnswer: 132715080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 250, 500, 750, 1000, 1250, 1500?\n\"Answer: 250*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 549, 2210, 5637, 11466, 20333?\nAnswer: 32874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 25 = -y. Suppose -y*u - 3 + 28 = 0. Let n be (-40)\/(-50)*(-10)\/(-4). Solve k - 16 = -u*l, -4 = -l + n*k - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3038 - 5838 + 12*i + 2800.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in -1\/2, 5, 4, 4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1501.63ml to litres.\nAnswer: 1.50163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*f - 10*s, -4*s = 0. Let u(t) be the first derivative of -1\/3*t**3 + f*t + 0*t**2 - 7. Let v(j) = -j**2. Calculate v(u(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 3 - 333*k + 21 + 3 + 2264*k.\nAnswer: 1931*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -4. Let i = s + 15. Suppose i - 7 = -q. Calculate the lowest common multiple of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50a0 - 4?\nAnswer: 509b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/14 - (2 + 0) and -13\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + (14 - 11) + 16 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/(h*((h\/(((h\/((h*h*h*h**(-1\/4)\/h*h*h)\/h))\/h*h)\/h))\/h)\/h) assuming h is positive.\nAnswer: h**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 + (-2067)\/130 + (-4)\/(-10). Let 3\/4*r**3 - 3\/4*r**5 - 3\/2*r**4 + 0 + u*r**2 + 0*r = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 40. Let r(l) = 2*l - 21. Calculate 6*f(s) - 11*r(s).\nAnswer: -4*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984581982.\nAnswer: 2, 3, 179, 305581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 minutes after 11:30 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - i - 1. Suppose 0 = 5*p - 4*p - 4. Suppose 0 = 3*v - p*v + 6. Let h(j) = -j**3 + 6*j**2 - 1. Let b be h(v). Determine c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2 + 0\/1. Let l(h) = -9*h - 3. Let a be l(r). Suppose -a = -3*g - 0. Solve -g*b = -4 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2054429899283628*t**2 + 52337748*t - 1\/3.\nAnswer: -(78506622*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 - -308.4. What is the fourth smallest value in 1\/5, -1, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26 - 24) + -8 + 0. Let h be (1 - 1) + (-2 - u). Solve 3*i - 2*v + 2 = 0, -h = 4*i - 0*v - 3*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/a**(2\/11))**42*((a*(a**(-3\/2)*a*a)\/a)\/(a*a**(-2)))**43 assuming a is positive.\nAnswer: a**(3137\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249447?\nAnswer: 151, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 1. Let n(v) = -175. Let k(j) = -29. Let s(i) = 6*k(i) - n(i). Give -2*f(u) + 2*s(u).\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45574424*w + 21390 = -45574654*w for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 26*x + 72 = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 13*p**2 - 15*p - 18. Let b be a(14). Let o = b - -34. Solve -4*z + 6*z = -3*l - o, 5*l + 5*z = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 plus 81239?\nAnswer: 81081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1632 and 236946.\nAnswer: 3791136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1941493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 10:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1612)\/(-14105))\/(2\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*d + 3*c, -5*d = -7*d + 2*c - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250\/6 - (6\/(-4) + 45 + (-7801)\/174)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {h: 9, d: 1, l: 1, o: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 244923.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281310063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 47068 divided by 3362\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*r = -2*j + 36, 0 = 2*r - 2. What is the remainder when j is divided by (-74)\/(-10) + (-4)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*q*q)**(2\/63)\/(q\/(q*q**(2\/5)\/q)*q*q**(1\/3)\/q))\/((q**(-1\/2)*q\/(q\/q**0))\/(q**(-2\/19)\/q**(1\/6))) assuming q is positive.\nAnswer: q**(-1312\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 2*i + 1. Suppose -2*s = -5*c - 6, 10 = -2*c - s - 2*s. Let l(d) = 2*d**3 + d**2 - 5*d - 3. Determine c*l(h) - 5*g(h).\nAnswer: h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/32194 and -25\/144.\nAnswer: 2317968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 5*k**2 + 3. Let f be b(-5). Let q be (-9)\/(-270)*6 + (490\/25)\/2. Solve -f*u - 14 = -q*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93*76\/9424)\/(2\/((-32)\/(-21))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 460 + -4138\/9. What is the biggest value in -2, 2\/7, 8\/19, x?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179.465 - -0.465. Let a = -174 - o. What is the third biggest value in -6, -5, a, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5110 is divided by 3140.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11280 and 39198?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + u + 4. Let d(m) = 8*m - 174. Let z be d(22). Let y(h) = -z*h - 138 + 6*h**2 + 6*h - 2*h + 144. Determine -7*a(k) + 5*y(k).\nAnswer: 2*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhoshomnmnhhhmohovov. Give prob of sequence nsmo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-8))\/((-10)\/(-160)). Let n = 7\/844 - 151097\/2532. Do l and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -5\/6*f**4 + 0*f + 0*f**3 + f**2 + 0. Let m(c) be the third derivative of c**4\/12 + 6*c**2. Give m(h(t)).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -881275 (base 9) in base 10?\nAnswer: -525839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/25)*r\/(r*r\/((r*r**(-30\/7)*r)\/r))*((r**(-2\/133)*r)\/r*r)\/(r\/r**(-16)))**(-8\/9) assuming r is positive.\nAnswer: r**(181064\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 15*f**2 + 3*f + 17. Let z be n(17). Suppose 0 = 4*h - z - 166. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**2 + 5*j - 12. Let r(k) = 30778*k**2 + 2*k + k - 30773*k**2 - 5. Let z(h) = -4*m(h) + 9*r(h). Calculate z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 85372092.\nAnswer: 256116276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 c, and 1 y when four letters picked without replacement from cycfwccwwfmfcfc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85622 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1667\/8 + -209. What is the common denominator of p and -23\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2430) + sqrt(2430))\/((sqrt(120) - (sqrt(120) - (sqrt(120) - (sqrt(120) - 2*sqrt(120)))))\/sqrt(12))*6*4)**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11550)\/(-450)*63\/(-77).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvhv. What is prob of sequence hv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -810280\/19 + 42646. Is 15\/8 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*a - 184*a**5 - 16*a**5 - 252*a**5 + 160*a wrt a?\nAnswer: -9040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 176*s**2 + 2631*s + 7758. Give i(-70).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -614, -1243, -1882, -2537, -3214?\n\"Answer: -b**3 + b**2 - 625*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250515 and 76.\nAnswer: 1002060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4891126 and -21?\nAnswer: -102713646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/2 + 54*a**4 - 80*a**3 - 2865*a**2 - 18801*a\/2 - 8829 = 0. What is a?\nAnswer: -109, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552 + 2086 = -207*w - 2112 - 7911 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 877930, 3511745, 7901438, 14047009, 21948458, 31605785?\n\"Answer: 877939*v**2 - 2*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34255360 divided by 320?\nAnswer: 107048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156) - (sqrt(2156) + -2)**2)*2.\nAnswer: -4320 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 1, -1199\/4, -2\/13, 8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1088.7 + -1089.1643. Let k = t - -4.3233. What is k rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-5)\/(15\/36). Let l(m) = -m - 11. Let a be l(b). Let i be a + (-11)\/((-33)\/(-36)). Are i and -16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1345, 2688, 4031, 5374, 6717?\n\"Answer: 1343*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.601 - -0.133. Let z = 0.068 + i. Let a = -55 - -56. What is the nearest to a in z, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*z**3 + 67470*z**2 + 2210688*z - 1023690752.\nAnswer: (z - 98)*(13*z + 3232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - ((sqrt(190) - 1*sqrt(190)) + sqrt(190))*-5)\/(6*sqrt(20)\/sqrt(2)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 314732395 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11715 and 432540.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**3 - 61*d**2 - 2*d + 13400 wrt d.\nAnswer: -9*d**2 - 122*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2091 - 230. Let h = z - 1860.99998923. Round h to seven decimal places.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 - 15*y**2 + 22*y + 1 wrt y.\nAnswer: 24*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 414635, 829471, 1244305, 1659137, 2073967?\n\"Answer: -l**2 + 414839*l - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-30)\/(-5600)). Suppose -5*v = -31 + 6, -3*v + f = 5*n. Let h = n + -36. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x = -78*x + 1092 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*y**2 - 4\/5*y**3 - 2\/5*y**4 - 8\/5 + 8\/5*y.\nAnswer: -2*(y - 1)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 277 - -4?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4582\/1160 + (-6)\/8. Let j = -7 + 12. Suppose 2*b**4 + 0*b + 8\/5*b**2 - 2\/5*b**j + 0 - p*b**3 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - -0.90428399?\nAnswer: 0.98428399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:24 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258532 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2601, -5227, -7853, -10479?\nAnswer: -13105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, e: 1, h: 1, f: 1}. What is prob of picking 1 f and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 46a43 (base 14) to base 4\nAnswer: 222001303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/60 - 149*n**5\/30 - 1406*n**4\/3 - 5476*n**3\/3 + 664*n**2. Factor a(y).\nAnswer: -2*(y + 1)*(y + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/6 + (-8)\/12. Let y = 0.04 - -1.96. Let u = 2 - 3. Which is the closest to 2\/7? (a) o (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10141 - -10141. Let z(n) be the third derivative of 1\/42*n**4 - 1\/210*n**5 + 0 + 8\/21*n**3 + f*n - 11*n**2. Factor z(s).\nAnswer: -2*(s - 4)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -19. Which is the nearest to -0.1? (a) 0.2 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389858 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 + 3*y + 0*y - 2*y - 15*y**2 - 1 as r*y + p*y**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3023, 3082, 3137, 3188, 3235, 3278, 3317?\n\"Answer: -2*k**2 + 65*k + 2960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -420 - -415. Which is the second smallest value? (a) 1\/4 (b) n (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-11 + 14))\/(-1). Solve 0 = -4*j + y*j + 6, -j + 3 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32406.568 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v + 85. Let f be x(-10). Is f at least 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let v be 2\/((-16)\/4) - (-9612)\/8. Let m = -1626 - -810. Let a = m + v. Calculate the highest common factor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-6))\/((-39)\/(-246)) and 1*(1661\/(-234) + (-23)\/((-897)\/6))?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.75 and -4229.\nAnswer: -4222.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 2, q: 1, p: 1}. What is prob of sequence mq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 657*q + 1775 wrt q?\nAnswer: 657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75264, 150520, 225776, 301032, 376288, 451544?\nAnswer: 526800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 13*d - 30. Determine y(14).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23483 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1daf8 + -f3?\nAnswer: 1da05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 10 = -2*k. Let i(w) = -2*w + 4. Let u be i(k). Let d(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 4*g**2 - 8*g + 4039. What is d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61 and -25967191141?\nAnswer: 25967191202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -5*d, -5*d = -0*v + 3*v - 14. Let h(u) = 7 + 0*u + 3*u - 5*u + v*u. Let l be h(-6). Which is the biggest value? (a) -5 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.499 - 6.499. Which is the closest to -0.04? (a) -2 (b) m (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 7*a**2 - 6*a. Suppose 93*h - 89*h - 8 = 0. Let l(s) = 2127*s**3 + h - 2 - 2*s**2 - 2128*s**3 + 2*s. Calculate 4*d(m) + 14*l(m).\nAnswer: -2*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -131111223 (base 6) to base 2\nAnswer: -1001110100110001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 85, 53, -13, -125, -295?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 3*k + 600, n + 4*k = 169. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 6:27 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -11*s**7\/70 - s**4\/24 + 11*s**3\/3 - 11*s**2 - 3*s. What is the second derivative of m(v) wrt v?\nAnswer: -396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*q - 7, 0 = -3*q - 3*b + 6 + 3. What is the third derivative of -4*d**2 + 2*d**q + 0*d**2 + 3*d**6 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -3156?\nAnswer: -3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.231082 to two dps.\nAnswer: -7.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -6*y - 59 + 32. Which is the third smallest value? (a) -0.12 (b) y (c) -4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 838. Let v(c) = 97*c**2 + 97*c**2 - 293*c**2 + 97*c**2. Calculate a(v(p)).\nAnswer: -2*p**2 + 838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = -4*k, 4*k - 16 = k + 2*n. Suppose k*j - j = 78000. What is j rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 15466 = -5*m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:39 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116374 is divided by 23270.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203.87 - -203. Let r = m - -2.57. Sort 3\/4, -0.1, r, -2 in ascending order.\nAnswer: -2, -0.1, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 - 5908 = 192*t + 172*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264*1.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99.8? (a) -522 (b) 100 (c) -0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*s + 75, -4*p = -4*s - 7*p - 107. Let n be 4\/2 + 68 + 2. Let k = n + s. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 3*x + 15 = 0, 0 = 5*w + 26*x - 25*x - 45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**9\/5040 + 13*i**8\/11200 - i**7\/700 - 5*i**4\/3 + 24*i. Let z(u) be the third derivative of a(u). What is s in z(s) = 0?\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 9*g + 8. Suppose -u = -3*u - 20. Is 18 a factor of w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.57646 centuries to years.\nAnswer: 1257.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1985\/6 + 330. Let u = -1 - -1. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let h(l) be the third derivative of 0*l**3 + l**2 - 1\/8*l**4 + 0 + 0*l. Give p(h(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from ddddqddqdqddqddqdd.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/9, 42\/5, 1\/4, -0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*r - 150 = 544*r - 1051*r. Sort r, 16, 5.\nAnswer: r, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446469035 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 99 + 272 + 157 + 176 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/7 + -1507\/420. Find the common denominator of (17\/(-4))\/((-63)\/14) and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 7*m**2 - 11*m + 9. Let i be y(7). Let c be -2 + 3 + i\/(-2). Suppose -4*s + c = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c + 4. Let l(k) = 6*k + 3. Let h(m) = m. Let a(b) = h(b) - l(b). What is -3*a(p) - 2*s(p)?\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68, 34, 136, 238, 340, 442?\n\"Answer: 102*t - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 divided by -1?\nAnswer: -2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*m - 14, 3*m + m = 4*n + 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4722.75 litres to millilitres.\nAnswer: 4722750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**3 - 4*f**3 - 5*f**3)*(-2 + 0 + f + 3).\nAnswer: -19*f**4 - 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 987943367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/168 - d**6\/8 - d**5\/12 + 10*d**4 - 160*d**3\/3 + 136*d**2. Determine o, given that w(o) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 12 = -8*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100111011100101011 (base 2) in base 6?\nAnswer: -252333215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.17 + 1.17. Is 1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = 11*y - 124. Put -2, y, 2, -4\/9 in increasing order.\nAnswer: -2, -4\/9, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8121681, -16243360, -24365039?\n\"Answer: -8121679*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1007049*y. Let f(a) = -2*a. Calculate f(k(x)).\nAnswer: 2014098*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/60*(145\/(-30) + 4). Which is the second biggest value? (a) 4 (b) 5\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 + 30 = 0. Let z = 14 - q. What is the smallest common multiple of z and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 0.5, 0.47 in descending order.\nAnswer: 0.5, 0.47, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - p**2 - 349*p + 1835. Give h(6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -d + 14, -2*d + 5*f + 70 = 3*d. Suppose -4*b = -0*p - p, 3*p = -2*b + d. Suppose -5*l + p = x + x, 10 = 2*l - 2*x. Is l >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/91)\/((-3)\/21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/6, 0, -17 in increasing order.\nAnswer: -17, -7, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3597 = -150*f - 1203 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66050, 66028, 66002, 65972?\n\"Answer: -2*z**2 - 16*z + 66068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 3}. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:10 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -897 divided by 299\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*w = 91*w - 234. Let g(r) = 2*r**2 + 4*r - 2. Give g(w).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + f**3 - 3*f**3 + 0*f**3 + 6*f**3 - f**3 + f**3 + 4*f**3 - 7*f**3 + (2*f - 1 + 1)*(0*f + 0*f - f**2) - 3 + 4*f**3 + 3)*(3*f + 0*f + 0*f).\nAnswer: 21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 - -3440\/19. Which is the nearest to 1? (a) -0.1 (b) 5 (c) s (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of -736*(-6)\/108 - (-2)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 543 and 559833?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 106 - 95 - (-3 + 6 + 1 - 3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = -0*s. Let m be ((-24)\/10)\/((-2)\/120*2). Let z be 6\/(m\/12 + -4*1). Put -3, -4, s, z in decreasing order.\nAnswer: z, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-392)\/(-64) - 32\/256.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11891 + -1100?\nAnswer: 10791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*y**3 - 5*y**3 - 11*y**3 + 5 + 2*y**2 - 9*y**3 - 6*y**3 to t*y**2 + j*y + w*y**3 + c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 141*l - 12837. Calculate z(91).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(k - 11*k - 2*k)*(349*k**4 - 109*k**4 + 343*k**4).\nAnswer: 6996*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7909399\/96 + 82391. Calculate the common denominator of u and -139\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001507052185 rounded to 7 decimal places?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 80.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 - 7*m**2 + 3. Let b(h) = 1 - 2*h**2 - 6*h**2 + 3 - 7*h**3. Let i(c) = -3*b(c) + 4*l(c). Find the third derivative of i(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 83375?\nAnswer: 667000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 102 = y + 7, -18 - 27 = -5*y + 4*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1437740 and 900.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*p + 56, -p + 6*p + 4*w - 71 = 0. Let q be (-2)\/8 - p\/(-4). Let g = -13 - -11. Sort -2\/9, g, q in descending order.\nAnswer: q, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 20\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 0*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) + sqrt(3456)*2 + sqrt(144)\/(-2*sqrt(6)))\/(sqrt(432) - (sqrt(432) + sqrt(432)*2) - (sqrt(12) - (sqrt(120) + -1*sqrt(120))\/sqrt(10))).\nAnswer: -71*sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:54 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3710 + -928\/1855. What is the closest to f in -2, -30, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**2. Let b = -11 - -9. Let a(v) = -16*v. Suppose -57 + 2 = 5*i. Let w(r) = 3*r. Let c(p) = b*a(p) + i*w(p). Give d(c(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 + 2*r**2 + 1 + (4*r + 0*r - 3*r)*(3*r - r - 4*r) + 0*r**2 + r**2 + 2*r**2 + 8*r**2 - 2*r + 2*r.\nAnswer: 10*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 121*d**2 - 33*d - 11. What are the prime factors of m(13)?\nAnswer: 11, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g + 19*g = 4*g + 384 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {v: 1, y: 2, o: 11}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 4*z - 8, -2*s = -5*z + 12. Calculate the remainder when 13 is divided by (-13 + 1)*z\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-15673)\/(-35) + 3\/15 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 313\/(2 + -1)*1. Suppose 0*l = -3*n - 2*l + 252, -4*n = -5*l - s. Let p = 91 - n. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3242.7 + -3243. Let x = 466\/9 - 52. What is the biggest value in x, r, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111535638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f + 3*v - 41, -4*f + 34 = 3*v. Let r(h) = -h + 14. Let y be r(f). Which is greater: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 31*f**2. Let c(l) = -230305*l**2. What is n(c(g))?\nAnswer: 1644252183775*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 2553.\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 6929.\nAnswer: -12\/6929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 1101\/7. Let g be (-1)\/(-254)*6624\/132. Let v = -2\/127 + g. What is the biggest value in -3\/5, n, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1. Let r(o) = o**2 + 5*o + 7. Let m(d) = 6*c(d) - r(d). Let t be m(-4). Solve 0 = -2*x + x - 5, -4*y + t*x = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulz when three letters picked without replacement from zlulu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -421, -466, -525, -604, -709, -846, -1021, -1240?\n\"Answer: -v**3 - v**2 - 35*v - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - -3) - 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 100141034?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7170717)\/6)\/(2\/(-4)). Let z = j + -1400239. Round z to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359221 not equal to -359226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(800))\/(-6*sqrt(40)\/sqrt(4)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 + 2*o + 1. Let d be r(2). Let x be 4\/6*30\/4. Let q be x + (2 - (4 - 2)). Solve -2*j = -q*j - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6294871 - -2.52949065. Let v = f - -1.1. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from ufufnnveuuel?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + 28?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/228 - (291\/(-57) - -5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 + 156 + 43 + 21*x**2 + 164 - 363 - 26*x**2.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/18*40763612\/(-120). Let a = 94361 - z. Let s = a + -1\/27. Find the common denominator of s and 31\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000155821241 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + y**2 - 144*y**4 - 2 - 230*y**4 + 380*y**4 - 10*y as w*y**2 + p*y**3 + x*y**4 + d + c*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(-4 + 460\/112). Let p(u) be the second derivative of u**3\/6 + 15*u**2\/2 - 3*u. Let n be p(z). Which is bigger: n or 5\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(-33)*(28\/20)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**4 + y**3 - y**2 - 6*y + 5. Let q(c) = -27*c**4 - 3*c**3 + 3*c**2 + 15*c - 12. Let d(v) = -5*q(v) - 12*z(v). Factor d(b).\nAnswer: 3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12256 and 22592?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + 4 + 2 + -5*(1 + sqrt(147) - sqrt(147)) + ((sqrt(147)*-1)**2*-5 - sqrt(147) - (1 + sqrt(147) + -1)) + 5.\nAnswer: -721 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.116237 milliseconds to hours.\nAnswer: 0.0000194767325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -435, -3931, -13547, -32349, -63403, -109775?\n\"Answer: -511*o**3 + 6*o**2 + 63*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4273344.\nAnswer: 2, 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913377, 1826762, 2740159, 3653574, 4567013, 5480482, 6393987?\nAnswer: 7307534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n\/(n*n**2*n))*(n\/((n\/(n*n**(-1\/4)))\/n))\/n*n*n\/(n\/n**(-15))*n*n\/n**2 assuming n is positive.\nAnswer: n**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 17 - 6*y)*(120 - 2*y - 119 + 20*y) to d*y + a + g*y**2 and give g.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6024.12*6.\nAnswer: -36144.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -16, 22 in descending order.\nAnswer: 22, 1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689690398 to the power of 1\/3, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3592 + -1625. Suppose 13*f - 23859 = -b. What are the prime factors of f?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4256591 is divided by 420.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4.4. Let w = 5 - 5.2. What is the third biggest value in w, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4 + 20\/(-15))\/(1\/(-3)) and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1723134*m**2 - 2*m*r**3 - 3*r**3 - 20*r**2 - 437*r + 2 wrt m?\nAnswer: -3446268*m - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (-86 + 1)*(-16424)\/(-20530)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + 2*m + 15. Let v be l(-6). Let r(d) = -d + 7. Let k be r(6). Solve p + k = -3*z, -3*p = -v*z - 7 - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g**3 + 6290*g**2 + 14007645*g + 5602050 = 0 for g.\nAnswer: -633, -2\/5, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/23 - (-18 + (-526)\/(-16) + 119\/952).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*1737.56\nAnswer: 1042.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.25. Let a = -60.05 - n. Let g = -60.31 - a. What is g rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 39. Let c(q) = 2*q + 39. Let w(r) = 4*c(r) - 5*p(r). Let m be w(8). What is the lowest common multiple of (-1)\/(-5) + 195\/m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 8:52 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 6*l. Sort -12\/13, l, -0.3 in decreasing order.\nAnswer: -0.3, -12\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(-2*(sqrt(72) - (sqrt(72) - (sqrt(72) + -1)) - sqrt(72))*-2 + 2)**2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-108)\/(-20) + (-6)\/(-45)*-3. Solve x - 3 = 0, -4*x = -m*d + x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51305 (base 8) to base 16.\nAnswer: 52c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1271058*c*l*o**2 + 41*c*l*o + 20*l*o**2 - 3*l*o - 2*l + 9567*o**2 + 2*o - 5 wrt c.\nAnswer: -1271058*l*o**2 + 41*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = 0, 2*f + 4 = 3*q - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 3*s + 4. Let d be v(4). Suppose d = x - 0*x - m, x + m + 2 = 0. Solve -2*a - 14 = 4*b, -x*a - 1 = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l - 2 + 2)*(-2 + 0 - 1) - 2 + 0 + 1711*l - 1719*l)*(4 - 1 - 2).\nAnswer: -20*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1086.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Sort 2\/3, q, 0.5 in ascending order.\nAnswer: q, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 2) + 0\/(5\/(-5)). Suppose -r - 8132 = -t, 3*t - 24390 = -3*r + j*r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 1. Let g be k(4). Let d = 18 - 12. Let b be (-16)\/d*g\/(-14). Sort 1, b, -3 in descending order.\nAnswer: 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 11) in base 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 20*f - 1. Suppose 5*y + 5*r - 2*r + 4 = 0, 0 = 5*y - 4*r - 17. Let u be k(y). Suppose 5*n = u*n - 196. What is the remainder when n is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114301 - 3311?\nAnswer: -123112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.80995741435 - -2.26?\nAnswer: -8.54995741435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4370650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(78)\/sqrt(24) - (sqrt(13) + 4*sqrt(13) + 2)).\nAnswer: -45*sqrt(13)\/2 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. What is the third derivative of 0*o**2 + 5*o**w + 0*o**2 - o**3 + 3*o**2 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sxhxhhhnsssxnxxhsnns?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 + a**5\/20 + a**4\/24 - a**3\/2 + 157*a**2. Let o(f) = 0. What is f?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3) + (-1 - 1). Let w be (0 + k)*(-7 + 5). Solve 0 = c - 3*c + u - 1, 8 = -w*c - 4*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.64 or 0?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28882*d**3*i + 196*d**3 + 2881*d**2*i + 194330 with respect to i.\nAnswer: -28882*d**3 + 2881*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 950 and 2345 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2922 + -141\nAnswer: -140.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 8144?\nAnswer: 89584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -290179*g**2 + 1317*g - 3951. Let v(u) = 441*u**2 - 2*u + 6. What is 4*f(j) + 2634*v(j)?\nAnswer: 878*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*g - 111*g - 3450 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1525\/(-20))\/(-5) + 2024\/736.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/79887 or 1?\nAnswer: -1\/79887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(5*q + 3*q - 10*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -3*m - 136. Solve -4*g = -4*p + 17 - m, 0 = -5*g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10610*f*g**3*n - f*g**3 - 2*f*g*n - f*n - 3*f - g**3*n + g**3 + 4*g**2 - 76 wrt g?\nAnswer: 63660*f*n - 6*f - 6*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(891) - (1 + sqrt(891)) - (-4 + sqrt(99) - sqrt(11))) + 1)**2 + -3.\nAnswer: -20*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338207?\nAnswer: 3, 13, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Suppose -k = -15 - 26. Suppose z = 5*a - k - 59. Solve 2*s + 2*s + a = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 18 = -4*f, -4*f + 5*u = -0*u + 25. Let o = 7642 + -7636. Suppose -2*h = -4 - 0. Sort f, o, h, 5 in descending order.\nAnswer: o, 5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-153)\/(-124829994)) + 20\/(-30). Round t to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16384 + 16509. Calculate the remainder when 414 is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 7.72802382.\nAnswer: -7.62802382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -123 + 12b8d?\nAnswer: 12a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 11*v**2 + 5*v + 44. Let i be h(10). Let q(n) = -12*n**3 - 3*n**2 + 20*n + 110. Is q(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(-5*(-3 + 4*(-1 + sqrt(425)) + -1 + sqrt(425)*2) + 5))**2.\nAnswer: -1944000*sqrt(17) + 55371600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:24 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 47, 54, 63, 74?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxgwxghhhxyheh. What is prob of sequence hwhy?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002 + 165 - 302 = -1139*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -7. Let g = u - -10. Let o be (0 - (-10)\/g)*450. What is o rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19769 - a?\nAnswer: 1975b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7 + 0 + 3*p + p. Let u(b) = -6*b - 11. Let v be (7 - -3) + (3024\/14)\/(-12). What is v*a(c) - 5*u(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -67. Suppose -l = z + z. Let t(c) be the second derivative of -c**3\/6 - 6*c**2 + c + 44. Calculate t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*y = 3*y + 4, 4 = l - 5*y. Suppose -2*x = 3*w - 17 + 1, 3*x - 22 = -l*w. Let c be -1*(14 + 1)*-1. Solve -x*z - 3*z = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5392 or -102444\/19?\nAnswer: -102444\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u + 0*u)*(6*u - 6*u + u**3 - 5*u**2).\nAnswer: 2*u**4 - 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + 45. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 53.92 (c) -2\/31 (d) 3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:11 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -968\/7 + 138. Suppose -a = -5*a + 4. What is the closest to 0 in a, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39774 and 10?\nAnswer: 198870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - 2*m - 13. Let a be -4 + 370\/90 - 2\/18. Calculate z(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4604 + 7932. Solve 3329*o**2 - 3*o - g*o**2 - 27*o = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o = -26, -4*r + 4 + 5 = 3*o. Let m(c) = -2 - c - 4*c + r*c. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1811259723 and 651.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hext when four letters picked without replacement from {c: 3, x: 2, w: 7, h: 1, t: 3, e: 3}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r - 1\/3*r**3 + 20 + 1\/2*r**2. Let y(f) = -f**3 - 5*f**2 + 3*f + 3. Determine 3*n(v) - y(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 478.\nAnswer: -9082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) + 2 + -2. Let t = u + 4. Suppose -x - 5 = -t*x. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**2 + 5*w**2 + 17*w**2 + 11*w**2. Let d(k) = -k. What is d(l(i))?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1361\/2 + 681. Let r(d) be the first derivative of -10 - 13\/4*d**4 + 0*d - 1\/3*d**3 + u*d**2. Calculate r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23363 (base 9) to base 16\nAnswer: 3cf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t. Let d(r) = -72760720*r. What is d(a(i))?\nAnswer: -363803600*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-45) + (-1628)\/60. Let z = i - -112. List the prime factors of z.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47056 - 3631*v - 94127 + 47072.\nAnswer: -3631*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -533995, -534014, -534037, -534058, -534071, -534070, -534049, -534002?\n\"Answer: t**3 - 8*t**2 - 2*t - 533986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:01 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -111*a. Let p(u) = 3*u**2. Give p(b(t)).\nAnswer: 36963*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279538 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 26*u + 2 = 0. Suppose n + 2 = -u*h, 0*h + 18 = 3*n - 2*h. Suppose -n*b + 518 = 2*c, -5*b + 334 = c - 306. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -72*v**3 + 7*v**2 + 15*v - 5. Give h(-2).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429 take away 46?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2 + sqrt(128) - -1*sqrt(72)))*-6)**2.\nAnswer: -1008*sqrt(2) + 14148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 194 - -99. Let w = j - 97. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.635399l?\nAnswer: 4635.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + (-4)\/6. Let m = i - -6. Let p(u) = -1. Let k(c) = -c + 1. Let z(h) = -3*k(h) + p(h). Give z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -1637, -3698, -6603, -10364, -14993, -20502?\nAnswer: -26903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -78.01. Let t = b + -19.01. Let w = -18.9966 - t. What is w rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -3947.\nAnswer: -14\/3947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/18)\/7*6. Put 5, 0.5, t in decreasing order.\nAnswer: 5, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((152\/1805)\/(6\/(-15)))\/(22\/11)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3595 = -11*l + 299. Let i be (-2)\/6 + (-26)\/(-6). Suppose i*f - l = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 9)*(5*r**4 - 3*r**4 + r**4) in the form n*r + v*r**2 + l*r**4 + a*r**3 + g and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 307 + -305. Which is the second smallest value? (a) 0.23 (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-30) - (1\/(-6) - -1). What is the biggest value in 1\/3, 0.2, -0.19, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -3\/10 (c) 3.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 0 = 54. Suppose 107249 = h*m - 107434. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-118)\/(-472) + 1\/36*-17. Let h = 0.055 - 0.025. What is the fourth biggest value in u, h, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - 7\/(-35)*42. Let d(z) = z**2 + 16*z - 37. What are the prime factors of d(l)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = j. Let k = 2 + j. Let b(i) = i**3 - 7*i**2 - 8*i + 2. Let p be b(8). Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2355 by 13.\nAnswer: -2355\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 + 6?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3516011 (base 7) to base 13.\nAnswer: 125c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Suppose 0 = 2*g - f - 3. Suppose -o + 0*o + g = 0. Calculate the remainder when 6 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*59370\nAnswer: 712440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*i - 10, -3*g - 2 = i - 8. Let m = -2 + g. Let n be -1*(-2 - -2) + 0. Is m greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8794 is divided by 2929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 3, -5, 2, -1 in ascending order.\nAnswer: -5, -1, 2, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84054952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4\/7 - 92*g**3\/7 - 3120*g**2\/7 - 432*g = 0.\nAnswer: -18, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*180\/(-6). Suppose 4*y - 3*y = 5*u - 13, n = -5*y. Let v be 834\/15 + u\/5. What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-15 - 14) - (0 - -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 37, 80, 145, 238?\n\"Answer: a**3 + 2*a**2 + 14*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:49 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01018797 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b = 120, -4*b = w + 4*w + 146. List the prime factors of (2 - 3)\/(1\/w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-44 - -14 - -16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 + 13*q - 6. What are the prime factors of y(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afk when three letters picked without replacement from zazaaokkfffzazza?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3458)\/(-1638) - (-2)\/2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -79 * -1\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44415 (base 6) in base 12?\nAnswer: 370b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-6) + (-2)\/4. Let g = 84 - 82. Suppose g*q + 2*l - 40 = 3*l, q - l = 20. What is the greatest common divisor of x and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 499.4198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (24 - -7) + -14 + (3 - (-24 + -2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/60 + 7*q**4\/3 - 1781*q**3\/6 - 235*q**2. Differentiate b(g) with respect to g.\nAnswer: -6*g**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122807 is divided by 11536.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2482*o - 2480*o = 2*s + 8, -2*o + 1 = 5*s. Sort -12, -5, o, -8 in increasing order.\nAnswer: -12, -8, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.3753 - -0.3873. Let m = 10 + i. Round m to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:53 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*d**2*y**3 + 208*d**2 + 2*d*y**2 + 932*y**3 + 3*y**2 wrt d.\nAnswer: -102*y**3 + 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/301821 and 19\/10153.\nAnswer: 3320031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*a**3*b**3 + a**3*b - 119*a**2*b**2 - a**2 - 1060*b**4 + 3*b**2 wrt b.\nAnswer: 168*a**3 - 25440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:12 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -4 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 32*b + 18. Let i(k) = 2*k**2 + 17*k - 8. Let l(p) = 5*i(p) + 3*j(p). Give l(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5585160 divided by 7?\nAnswer: 797880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 6*q + 5. Suppose 0 = -3*j - 14 - 4. Let l be n(j). Sort l, 4, -2 in ascending order.\nAnswer: -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85135 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 126 + 136 = 0. Solve -c + m*c + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -604499, -604495, -604491, -604487?\n\"Answer: 4*t - 604503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -13. Calculate the remainder when 39 - ((-4)\/4)\/(-1) - -2 is divided by 1 + h - 1*-23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14490 and 276.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102\/8 + 42\/(-56) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2138, 0, 6, -2058 in decreasing order.\nAnswer: 6, 0, -2058, -2138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*n = -254*n - 5. Is 71 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1756667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*x - 6*x. What is the first derivative of -2*n - x*n + 3 + 2*n - 16 wrt n?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -19) + (8 - (-10 - 4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 0)*(-2 - 5 + 2)*(0 + 0 + f)*(2 - 9 - 2) to the form x + w*f and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/131640 and -161\/1349310.\nAnswer: 5397240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 154 in decreasing order.\nAnswer: 154, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y - 33. Is d(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/614372 and 67\/22.\nAnswer: 614372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18035*0.4\nAnswer: 7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10499?\nAnswer: 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5686*l + 12450?\nAnswer: -5686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkkk when four letters picked without replacement from {d: 1, k: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175) + sqrt(175) + sqrt(175) + 4 + -1*sqrt(175) + (-5*2*sqrt(175) - sqrt(175))))**2.\nAnswer: -9000*sqrt(7) + 354775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/2))**(-8\/11)*l**(-1\/23)\/(l\/l**(1\/2)*l))**31 assuming l is positive.\nAnswer: l**(-18507\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -630663.\nAnswer: -189198.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -32, 1\/11, 3\/7, 14708, -5 in descending order.\nAnswer: 14708, 3\/7, 0.3, 1\/11, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**6\/15 - b**4\/12 - 10*b. Find the third derivative of v(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 15*b**2 - 35*b + 27. What is the remainder when 91 is divided by v(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 2 (c) 2\/11 (d) -184 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 18, 72, -126 in ascending order.\nAnswer: -126, -3, 0, 18, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**3*v**3*z**2 - 2*m**3*v**2*z - 10*m**3*v**2 - m**2*v**3*z**3 + 4*v**2*z**3 - v**2 wrt v.\nAnswer: 54*m**3*z**2 - 6*m**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194399.\nAnswer: 3, 31, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -5*k - 600. Let t(z) = -23*z**3 + 4 + 5*z - 5*z**2 - 28*z**3 + k*z**3. What is t(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -248a?\nAnswer: -247a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454043768 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*h**2 - 29292*h*z - 2*h - 71853774*z wrt h.\nAnswer: 72*h - 29292*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-714)\/(-66) - 2\/(-11). Suppose 0 = 4*x + g - 227. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/105 (b) -224 (c) -3 (d) 0 (e) 0.1 (f) 0.4 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5811 times 7.1?\nAnswer: -41258.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111482*m**2 - 55748*m**2 - 55755*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = -6*z - 296 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6842 and 1562.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u - 24. Suppose -c = 2*c - u. Suppose c*d - 36 = -4*d. Solve 0 = 3*t + 3*h + d, 5*t - 2 = -2*h + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -29 + 4. Suppose d*p + 20 = p. Sort p, -1, 0 in ascending order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7638*w - 571*w + 2338*w to the form b + j*w and give j.\nAnswer: 9405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.4, -3, 3.8 in decreasing order.\nAnswer: 3.8, -2\/15, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5453.943 millilitres to litres.\nAnswer: 5.453943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from aniihyy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 72 = 5*g + 2*p, -5*g + 5*p = -75. Let m be (-3)\/(-4) + 9\/(-12). Suppose g = 2*i - m*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2 + 10*c + 27. Let q(u) = 7*u**2 - 10*u - 26. Let i(d) = 6*m(d) + 7*q(d). List the prime factors of i(15).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 154*j - 2036. Let o(x) = -17*x - 2. Determine 18*o(g) + 2*u(g).\nAnswer: 2*g - 4108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56 (b) 0.3 (c) 0.034 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Let l = -21.64 - -19.64. Let o = -3.02 + 3. Which is the nearest to o? (a) w (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 197*k = 198*k - 1256308, -5*k - 2093840 = -5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/117 and -20\/351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*v + 46*v + 36*v + 17*v in the form a + s*v and give s.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*f*x - 26*f*y**2 - 1873*f*y + f - 3958*x*y**2 + 2*y**2 - y with respect to x.\nAnswer: -48*f - 3958*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5447?\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(2\/43))\/s*s**(-2\/25)*(s**(-1\/3)\/s)\/(s\/(s\/(((s\/s**(8\/7))\/s)\/s))*s*s*s*s))**(-1\/34) assuming s is positive.\nAnswer: s**(25103\/383775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8640\/2430*9\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/120*q**4 + 0 - 3\/20*q**2 - 23*q + 1\/30*q**3. Factor z(s).\nAnswer: (s - 1)*(s + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388097844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3388) + 2*sqrt(3388))**2 + (4*(sqrt(56)\/(sqrt(8) - -2*sqrt(8)) + (-2 + sqrt(7))*-4))**2.\nAnswer: -2816*sqrt(7)\/3 + 297241\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 12*a**2 - a - 2. Determine x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7068 and 66.\nAnswer: 77748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-12))\/2 + 2280\/(-9). Let y = -497\/2 - x. Which is the second smallest value? (a) 1\/4 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 6*h**3 + 20*h**2 - h**4 - 4*h**3 + 2 in the form r*h**4 + y*h**3 + q*h**2 + u + x*h and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 8*u. Let t be z(6). List the prime factors of (-613)\/(-15) - (-8)\/t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 39*h - 69. Let w(u) = -109*u + 210. Give -11*t(j) - 4*w(j).\nAnswer: 7*j - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14445684107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(-16))**(-11\/6) assuming u is positive.\nAnswer: u**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -139437 at least as big as -139429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 4*s - 2. Let z(u) = 18*u + 1 - 14*u + u**2 - 8*u**2. Let r(f) = -5*q(f) - 4*z(f). Factor r(y).\nAnswer: -2*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 29*p**2 + 29*p + 38. Suppose -17*a = 19*a - 1008. Calculate the remainder when 160 is divided by x(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiweeeiweiiewwweyw. What is prob of picking 2 i and 1 e?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4112 - -7\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1993*i + 132 = 2004*i. Calculate the highest common factor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1872 rounded to 1 dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 13) to base 15.\nAnswer: -149a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20544272\/9 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*f - 8, 4*j - 3 - 1 = -f. Let x(g) = g + 2. Let a(i) = i + 2. Let z(m) = 3*a(m) - 2*x(m). Determine z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3 + 195*l**2 + 1080*l - 1280 = 0.\nAnswer: -32, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + 0*o**2)*(-23*o**2 - 22 + 22)*(-o - 2*o + o).\nAnswer: -92*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-10 - 0))*(-10)\/1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*w - 370*w - 10488 = 0 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 423.8763 - 423.7. Round c to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -4 + 21)*11. Let y = p + -93. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-23) + 36\/(-414).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 7*i**2 - 2*i. Let o be f(-6). Let c be (-9)\/o*(-1)\/3. What is the biggest value in -6\/7, 0, c, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*sqrt(104) + sqrt(104)) + 2*((sqrt(104) - -2*sqrt(104)) + sqrt(104)))\/(sqrt(16)\/(sqrt(162)*3 + sqrt(162) + sqrt(162))))**2.\nAnswer: 1289925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(288) + sqrt(288))*6 + (-2 + sqrt(288))*-4)**2.\nAnswer: -4224*sqrt(2) + 139456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -45 - 11 - 1. What is the remainder when r is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726029211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -27?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 881064*w\/5 - 97034221512\/5.\nAnswer: -2*(w + 220266)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*j**3 + 2\/5*j**5 + 0 + 0*j + 0*j**2 + 136\/5*j**4.\nAnswer: 2*j**3*(j - 2)*(j + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-42) - (-2)\/3. Let q(i) = 2*i**2 - 2*i + 3. Give q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 3. Let z = 0.496 - -0.086. Let n = h + z. What is n rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*d - 36*d - 132*d.\nAnswer: -284*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1055\/15 - 3\/9. What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8016.469 millennia in centuries?\nAnswer: 80164.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 41 + 11*f**2 - 7*f - 12*f**2.\nAnswer: -f**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(231\/1386)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:02 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*2 + sqrt(189) + sqrt(189))\/((sqrt(3) - (sqrt(3) + sqrt(30)\/sqrt(10))*-5) + sqrt(3)) + 4.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 - 55*m**3 + 410*m**3 + 323*m**3.\nAnswer: 692*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, 33 in increasing order.\nAnswer: 0, 1, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34888 divided by 56?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let v(p) be the second derivative of 56*p + 17\/12*p**4 + 0 + 0*p**2 + 0*p**3. Determine v(f(i)).\nAnswer: 68*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140155*g - 140155*g + g**2 - 740 to k*g + i + y*g**2 and give i.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/(-9)*(3 + 6). Let x = f - -178. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/13, 2, -3\/2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 541975199 divided by 4441?\nAnswer: 122039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 335181 and 210.\nAnswer: 3351810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**8\/112 - 6*p**7\/35 + 29*p**6\/20 - 23*p**5\/5 + 63*p**4\/8 - 8*p**3 + 1109*p**2 + 1. Factor u(d).\nAnswer: -3*(d - 1)**4*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let u(x) = -2695*x. Give u(g(l)).\nAnswer: -2695*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 55. Suppose -8*p - 9 = -v*p. Let a = -8 - -13. Solve 8*n - a*k = 3*n, -p*n = 5*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 6192916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 4:57 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170538, 682136, 1534798, 2728524, 4263314?\n\"Answer: 170532*k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12260 and 266160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 2*k)*(-2450*k**2 - 523*k**2 + 707*k**2).\nAnswer: -4532*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -623a46 - 3?\nAnswer: -623a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346.306l to millilitres.\nAnswer: 346306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -479*o + 20 - o**2 - o**2 + 238*o + 23 + 237*o in the form w + s*o**2 + z*o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41699386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21*w - 188. Let j be g(-9). Suppose 3*a - 5 = -5*o + 7*o, -2*o - 3*a + j = 0. Put o, 2\/157, -0.5 in increasing order.\nAnswer: o, -0.5, 2\/157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 + 6*k - 12. Let j(s) = 7*s**2 - 6*s + 11. Let a(q) = -7*j(q) - 6*x(q). Suppose -9*v = 3*v - 36. Does 2 divide a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1531001 and 3876?\nAnswer: 312324204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*x = 10, 2*x + 2*x = 8. Suppose 9*v = 6*v + 204. Suppose t = -4*w + j + 185, w = 4*j + v - 3. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 2*k**2 - k - 24. Determine w(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from {v: 3, e: 3, u: 2, c: 3, x: 1, f: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13818 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b - 6. Let c(o) = 16*o + 5. Let h(q) = 5*c(q) + 4*d(q). Let v be h(4). Suppose 5*a = r + 4*r - v, -3 = r + 3*a. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (8 - 1) - (17 - 3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1308?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-6))\/((-1)\/(-2)). Let h(p) = -p**3 + 23*p**2 + 12*p + 15. Let u be h(r). Suppose -5*f + 2320 + u = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5470 greater than or equal to -10939\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoyble. What is prob of picking 1 b, 1 e, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38 and 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2) + -1 + (-29)\/29. Let a(g) = 34*g**3 + g**2 + g + 3. What is the units digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 64036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1030955\/1188 - 28636\/33. What is the common denominator of y and 137\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 (base 11) in base 8?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*z + 1132*z = 2264*z + 1054 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116522336.\nAnswer: 2, 7, 137, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-342)\/(-54) + 1 + (-1)\/3. Solve -2*x - n*k = -5*k - 20, -4*x = -5*k + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136917275 to the nearest integer?\nAnswer: 11701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 172467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 36 = x + 5*j, -x - j = 15. Let z be (-1*1\/(-3))\/(x\/156). What is the third smallest value in 3\/4, -24, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332 and 1396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1010750, -1010899, -1011048, -1011197?\n\"Answer: -149*p - 1010601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-11)*f)\/(f**(-1\/13)*f))\/(f**(-2))**(-3\/28))**(-1\/4) assuming f is positive.\nAnswer: f**(2027\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -916*s + 38447. Determine x(42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*6)\/((63\/(-525))\/(-4*7\/350))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 515124332?\nAnswer: -515124345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44231421 - -2043?\nAnswer: 44234014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 less than -27.37?\nAnswer: -25.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 1303, -37, 45, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 5. Let a be i(-8). Suppose -4*b - l = -63, 2*b = 5*b - a*l - 66. Suppose -b = h - 107. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99091594?\nAnswer: 2, 7, 7077971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3*b + 5*b)*(1 - 4 + 1)*(b - b**2 - b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k**2 - 34*k - 263. Let u be g(-11). Suppose -11*m + u = -7985. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173529 and 154248.\nAnswer: 1388232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*k**2 + 6*k**2 - 79*k**2 - 2*k + 33*k**2 as v*k**2 + f*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -68*q - 3. Suppose -232*m + 228*m = 20. List the prime factors of b(m).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 + 4 = -2*z, 0 = 5*z + b - 20. What is the remainder when (-29)\/(-2)*(z + -4 + 2) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -10. Let b be 2\/(-2 + 4*12\/21). Suppose h - t = b, 1 = -h - h - t. Calculate the remainder when f is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k + 2. Let l(g) = -1. Determine -4*l(b) - r(b).\nAnswer: -10*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100.269 and -0.02.\nAnswer: -2.00538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 - 915*h**3 + 11088*h**2 - 33372*h = 0.\nAnswer: -927, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 45. Let h be -5 - ((-68)\/(-5) + 2\/5). Is v smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 912, -11, -9 in descending order.\nAnswer: 912, 18, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305555 and 75785.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2394452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 132*y + 29. What is the hundreds digit of j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 - 7*v**3\/6 - v**2\/2 + 28*v. Let g = 5 + -10. Calculate q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1682 + 1686. What is the second biggest value in -14, 20, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.51, 3, 1, -4, -0.2 in increasing order.\nAnswer: -4, -0.2, 1, 2.51, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 + 6*y + 7. Let b be n(7). Suppose b = -v - v + 14. Suppose 1 = -t + 13. Calculate the remainder when t is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/((-28)\/24) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 3*k - 2. Let m be x(6). Which is the closest to 1? (a) m (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 8*u**2 + 7*u - 5. Let t be g(7). Let l = t + 3. What is the common denominator of -61\/3 and l\/10 + (-1)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b. Let x be r(-3). Suppose 5 = 2*k - x. Let y(j) = -j**3 + 4*j**2 - j. Let a be y(k). Let g(f) = f. What is g(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 348*o**4 - 349*o**3 = 0.\nAnswer: -1, 0, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2731, 4112, 5417, 6652, 7823?\n\"Answer: b**3 - 44*b**2 + 1506*b + 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-43 - -46).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3141968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.14. Let o = 87 + -86.9. Is o greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510 - (5 - 3)*(2 - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/17? (a) 1 (b) 2457 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 2:59 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1250 + -1246. Let i(p) = p**3 - 5*p**2 - 5*p - 2. Let s be i(6). Let o be (-25)\/(-5) + 0 + -2 + 2. Solve -16 = -q - o*w, q - 4*q - s*w = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 17*p + 26*p - 10*p - 17 + 102 = 0, o + 9*p - 68 = 0 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10531*o + 12064 = 10739*o for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-34) + 216\/102. Differentiate 3 - 4 - 5 + 2*f**3 - 22*f**3 + s*f with respect to f.\nAnswer: -60*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 7:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 5. Let y be c(-5). Let l(a) = 0*a**2 + 60 + 2 + 0*a**2 - a**2. Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 359 - 42*d + 122 + 113.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -21*t**2 + 0*t + 0 + 0*t**3 + 1\/6*t**4. Let d(x) = -24*x**2. Calculate j(d(y)).\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 r when four letters picked without replacement from ereerreeee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 63 = 2*d. What is the highest common factor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30380148100167 + -30380135696063.200201. Let o = s + -12404083. Let w = o + -20.8. What is w rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -m. Suppose -m*h = -p + 10, -9 = -4*p + 3*p + 3*h. Calculate the lowest common multiple of 9 and -1 + (-2 - -3) + p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140769 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 3*i**4 - i**4)*(3 - 43 + 3)*(-2 + 10 - 1)*(2 + 1 - 2).\nAnswer: -518*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 729 divided by 11\nAnswer: 729\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 6*k - 2, -5*s - 3*k + 7 + 12 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 256001 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: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m**2 - 42*m - 12. Let h be w(-6). Let l(a) = -a**3 + 6*a**2 + a + 6. Let s be l(6). What is the highest common factor of s and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8579125 divided by 5?\nAnswer: 1715825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*s**4 - 55 + 31*s**2 + s**3 + 56 - 35*s**2 as w + b*s**4 + p*s**3 + h*s**2 + d*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401814, -401816, -401818, -401820, -401822, -401824?\nAnswer: -401826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298597789 - 34*y**3 + 298597789.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -6 - (-5 + 4). Suppose -5*o = -2*l - l - 197, -l - 159 = -x*o. Let v = 43 - o. Is v greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10))\/((-171)\/190)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.61274cm to meters.\nAnswer: 0.0061274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-36)*(834 - -8). Let w = v - -47. Which is the third smallest value? (a) w (b) -2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -28. Suppose 0 = -0*i + d*i - 40. Let n = 991 + -972. Calculate the remainder when n is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769, 771, 773, 775?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r + 4. Let p be n(-3). Let j be 9\/2 + 6\/(-12). Sort 6, j, p.\nAnswer: p, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 83*g - g - 19 + 13 - 12.\nAnswer: 98*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -227. Let y be ((-196)\/u + -1)*10\/4. Factor 0 - 4\/9*r**2 + 4\/9*r**4 - 2\/9*r**5 + y*r + 0*r**3.\nAnswer: -2*r*(r - 1)**3*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-175)*1\/7.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545360.\nAnswer: 2, 5, 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -41141.\nAnswer: -41141, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.364 and -18285.\nAnswer: -18294.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 40.61\nAnswer: 40.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 43700711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/(-77))\/(2\/14). Let v be -4 + 65\/20 - (-123)\/f. Let w be v\/((-2)\/(8598 - -2)). Round w to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -26. What is the remainder when (5 - -125)*1\/2 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1447, 3685, 5923, 8161?\nAnswer: 10399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 239 + 551. Let a = w + -388. Calculate the remainder when 109 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7119\/4 at least as big as -1781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37454 = 2*v + 25128. Let l = v + 1376893\/44. Calculate the common denominator of l and (1739\/(-370))\/((-2)\/5) - -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110200020100 (base 3) in base 8?\nAnswer: 17111050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*i**2 - 11116122*c**2*i - 7*c**2 - 10635512*i**2 wrt i?\nAnswer: 20*c**2 - 21271024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -77. Let o(z) = -32*z**3 - 5*z**2 - 6*z + 1. Let j be o(b). Calculate the greatest common factor of j and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)\/sqrt(2))\/(sqrt(448) + (-1*sqrt(448) - sqrt(448))))**2 + 5 + -1.\nAnswer: 69\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d (base 15) to base 12.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 99, 247, 463?\n\"Answer: 34*m**2 - 22*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 7810940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*g - 1369 = -5671 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x + 93. Let i = -2213 + 2193. Calculate a(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3237 and 585.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296823263?\nAnswer: 3, 569, 759709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-15 - 9 + 25)*(-4 + 5 + 1)*(4 - 13 + 5)*(-6*g + 6*g - 3*g**3) + 2*g**3 - 3*g**3 + 2*g**3 as l*g + u*g**2 + z + i*g**3 and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1751960 and 3\/835?\nAnswer: 292577320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((408\/24)\/(-17))\/(2\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/12 + (-4)\/16. Let u be (1 - r)*1\/23. Which is the closest to -0.1? (a) u (b) 5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/(4*2\/16). Let q(j) = -3 + 4 + 7*j + j**2 + 0 + s. Let i = -11 + 8. Give q(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 27. Let r be (p\/4)\/(13\/2 - 7). Suppose 0 = -0*t + 3*t + 5*s - 10, 4*t - s + 2 = 0. Is t greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 9*l - 12. Let m(f) = -3*f**2 + 10*f - 14. Let o(s) = -5*g(s) + 4*m(s). Give o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 707 divided by -4692\nAnswer: -707\/4692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l - 5. Let k(h) = 194*h + 5. Let d(s) = 121*s + 3. Let n(j) = 8*d(j) - 5*k(j). Determine 2*b(q) - 11*n(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101074, -202067, -303062, -404059, -505058?\nAnswer: -606059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549276 and 5628.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1304694.\nAnswer: 260938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 72. Find the first derivative of -1355 + y + 3*y**i + 1367 - 6*y**3 wrt y.\nAnswer: -9*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**5 + 1\/168*t**8 + 0 + 0*t**3 + 3*t**2 + 0*t**6 + 0*t + 1\/8*t**4 + 0*t**7. What is the second derivative of h(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 = 5*l - 3*d, l - d = 3. Suppose -3*u - 4*u = 17*u - 24. Solve -3*t = l - u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806093871 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1793122170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9*225\/540)\/(((-1)\/4)\/(-1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a - 3*z - z, z = -3*a - 10. Let f(v) be the third derivative of -v**6\/30 - v**5\/6 - 213*v**2. What is the tens digit of f(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1276452216 or 0?\nAnswer: -1\/1276452216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/103511595 and -103\/156915.\nAnswer: 310534785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6*x - 10446 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.5251 millilitres in litres?\nAnswer: 0.0795251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228412\/9823 - 1103\/47. Find the common denominator of -109\/190 and x.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 82248*n - 246782. Calculate r(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 90. Give d(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48420880, 48420884, 48420888?\n\"Answer: 4*i + 48420876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8734613 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, 2\/54907, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 432.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 + 5\/(-5). What is the closest to -0.1 in 1\/8, -0.5, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -63.81. Let r = s - -0.116. Round r to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.051 + 18.051. Let l = -18.5 + a. Sort 0.2, l, -1\/4, 0.1 in decreasing order.\nAnswer: 0.2, 0.1, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128600 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/6624)\/(1\/(-4)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15339 - 15229. What is the remainder when 1216 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 706 + 10601*n + 10612*n - 21216*n in the form u + c*n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - -8 - (7470012\/3 + -1). Round s to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 17, 0, -7, 2 in decreasing order.\nAnswer: 17, 2, 0, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343\/(-14)*(-4)\/(4\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-18) + 492\/(-144) - (-27)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8015 or -8010?\nAnswer: -8010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-315.357\nAnswer: -126.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30)*20)\/(-2)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/30 - c**5\/20 + c**4\/12 + c**3\/6 + c - 4. Let m(q) be the first derivative of h(q). Solve m(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*a*o - 3*a + 82*o - 2 wrt a.\nAnswer: 38*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*(-98)\/(-182) - (0 - 206742) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128549 + 128548. Suppose 4*z + 5*v = 10, -2*v = 2*z - 0*v - 4. Let j be z\/(3 - 1 - 4). Which is the nearest to w? (a) j (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001093068887 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35555746054540 take away -4?\nAnswer: -35555746054536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/8*(-8)\/20*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/1365*936\/(-432)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = j - 1, -j + h = -5*j - 2. Let k be (-3)\/3*j\/(-1). Is k bigger than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 - 47*v + 292. Determine g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-91)\/(-13)*(1 + 0). Let g = 11 - z. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/((-60)\/(-1))). Let f be 22\/u + 33\/(-55). Let d be (1\/4)\/(3\/4). What is the nearest to 1\/4 in f, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*d - 4*i, -d + 3*d = -2*i - 26. Suppose 2*z + 96 = -4*f, 42 - 119 = 3*f + 4*z. Let n = d - f. Let l(s) = -s**3 + 4*s**2 + 4*s + 6. What is l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32171408, -32171421, -32171436, -32171453?\n\"Answer: -c**2 - 10*c - 32171397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -5e19035?\nAnswer: 5e19038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhgh when four letters picked without replacement from {m: 2, h: 4, g: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 73. Let a(y) = 4*y**2 + 3. Let d(f) = -31*f**2 - 5*f - 25. Let u(j) = -15*j**2 - 2*j - 12. Let x(l) = -2*d(l) + 5*u(l). Calculate v*x(m) + 7*a(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -924329 rounded to the nearest 10000?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**9\/9 - 61*v**5\/60 - 15*v**2 + 24. Let u(f) be the second derivative of i(f). What is the third derivative of u(p) wrt p?\nAnswer: 6720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.09, -0.653, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7*n - 15, -4*n = -b + 8. Let d(p) = 85*p**2 - 9*p - 46. Let y(l) = -32*l**2 + 3*l + 17. Let u(f) = 3*d(f) + 8*y(f). What is u(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 1. Let j(d) = -14*d - 5. What is 11*b(p) + 2*j(p)?\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*j + 18, 3*n + 3*j = -j + 13. Let s be (-9)\/(-3) - n*43. Does 22 divide s - (3 - (-3)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbrrrrvrrrrrrr. What is prob of picking 1 v, 1 r, and 2 b?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-81)\/18)*(-3)\/(-4). Let n = 3310 + -13059\/4. Is p less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*i = -0*m + 20, 2*i = -4*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*w + 15, 2*w - h = -0*h - 15. Suppose 0 = -2*c + 6 + 2. Sort w, c, -3 in decreasing order.\nAnswer: c, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 26. Suppose 48 = -z*i + 36*i. Calculate the highest common divisor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 59*y**2 + 170*y - 111. Let n be c(56). Solve -2*z + n = 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6 - 87\/(-15)). Let x(g) = -2*g**3 - 3*g**2 - 16. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 48. What is the second biggest value in s, -9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -7)*(-7 - (-1 - 7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:02 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3436341395507 plus 12.7?\nAnswer: -3436341395494.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 4*y**5 - 4*y + 4*y + (0 + 0 + 2*y)*(7*y**4 - 2*y**4 - y**4).\nAnswer: 4*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 81. Let i be ((-123)\/(-2))\/(33\/110). What is the highest common factor of q and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (3 + 5)) + -13 + (19 - 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from wyllvy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and -33.14.\nAnswer: 1557.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, n: 1, s: 3, o: 1}. Give prob of sequence onsd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1574\/(-14) - -3. Let f be (-24261)\/210*2\/2. Let o = s - f. Calculate the common denominator of o and 2\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2334597*r**3*x**3 + r**2*x**3 - 81*r**2*x**2 + 39*r**2 - 70*r*x**2 wrt r.\nAnswer: -14007582*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + 111. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:31 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394700 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127093 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 17. Let a(u) be the third derivative of -u**5\/60 - u**4\/3 + u**3 - 4*u**2. What is the lowest common multiple of 7 and a(m)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f. Let g be (-21)\/(-35)*(1 + -6). Let a(y) = y - 11. Let s(j) = -j + 11. Let q(z) = g*s(z) - 4*a(z). Give q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11157 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose 0 = -2*a - 2*j + 56 + 20, -j + 110 = 3*a. Let b(h) = -2*h - h - 35 + a + 2*h**2. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -p + 3*t + t, 0 = 5*p + t - 70. Suppose -3*v - 2*v = p. Put -2, 2\/7, v in decreasing order.\nAnswer: 2\/7, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11872 (base 9) to base 7\nAnswer: -32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/6 + 3\/(36\/572)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 - 70*h**4 - 5831*h**2 - 180*h**3 - 161*h**3 + 353*h**3 wrt h?\nAnswer: -1728*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14799 + 7301. List the prime factors of f.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*w - 23, -24 + 2 = -3*y - 2*w. Suppose 0 = -y*i + 116 + 44. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -407, -807, -1207, -1607, -2007, -2407?\n\"Answer: -400*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/9 - 73*m**3\/9 - 79*m**2\/9 + 373*m\/9 - 74\/3.\nAnswer: (m - 74)*(m - 1)**2*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n - 4*z - 1548 = 0, 5*n - 1566 = -2*z. Let x = n - 12. Is x a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -836 + 837. Suppose 4 = 3*u - 11. Let s = u - r. Solve s*f = -5 - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -768\/7. Let u = 238043\/3 - 79347. Sort 0.4, t, u, -30\/13 in decreasing order.\nAnswer: u, 0.4, t, -30\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44820081?\nAnswer: 3, 421, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 172817.9 to the nearest 100.\nAnswer: 172800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*n + 41, -75*n - 5*q = -69*n - 81 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5))**(-1\/29) assuming q is positive.\nAnswer: q**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8615.69 weeks to microseconds.\nAnswer: 5210769312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 28\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 328410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13874 is divided by 366?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.94292 hours in weeks?\nAnswer: 1.261565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 114 = n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.2374nm to micrometers.\nAnswer: 0.2822374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.77 - 0.23. Let y = 0.03738 - -0.01562. Which is the third biggest value? (a) u (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 25760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-3)\/(-27)). Suppose i*v - 10 - 2 = 0. Let c(p) = p + 3. Determine c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 13) in base 8?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 9) to base 8\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62*44\/47740*(-10)\/(-12)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and -79\/44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from annnneeknnnknnenene.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + -6 + (3 - (5 + -9)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x + 12*x + 10*x - x**2 + 4*x + 4. Let o be h(17). Factor 8 + 110*j**2 - 14*j - 108*j**2 + o.\nAnswer: 2*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -12. Let p = d - -27. Let b = -49.0235 - p. What is b rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**6*(p\/((p**(-3\/5)*p*p)\/p))\/p)\/(p*p**1)**(-1\/4) assuming p is positive.\nAnswer: p**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 95 = -0*l + 5*a, 3*l = -3*a - 6*a + 222 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-10 + 0 - -1). Let m be (-3)\/1 - k\/(-3). Sort -5, m, 0 in ascending order.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-28) + 27\/6 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3133657331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33559*c**2*g - 2*c*g + 106*c - 74 wrt c.\nAnswer: 67118*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -87654 less than or equal to -87654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.892957 rounded to three dps?\nAnswer: -0.893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 177280 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -436199008 - -436199480.000774. Let k = o + -472. What is k rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2*sqrt(17))*3 - sqrt(17))*5.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24 - (71\/(-28) - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14153, 14155, 14159, 14165, 14173?\n\"Answer: q**2 - q + 14153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1157 + -939. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 9:07 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -479 and 0.612.\nAnswer: -478.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1879 = 5*y, 380 = -3*y - n + 1505. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838008, 838016, 838024, 838032, 838040?\nAnswer: 838048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a + 4*a)*(-4*a - 19 + 19) + (-8 + 32 - 24 + 346*a**2)*(0 - 4 + 2) - 3*a**2 + 6*a**2 - 2*a**2 in the form v + p*a + j*a**2 and give j.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 4592 = 55*c - 17437. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszjzjsjz. Give prob of picking 3 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248.000035 - 248. What is u rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 3*a + 2. Let h be q(-1). Suppose -h = -k + 6. What is the least common multiple of 16 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.76639715 rounded to three dps?\nAnswer: 2.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.106848078 - -0.863152982. Let m = 0.97 - g. Round m to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 4, m: 2, s: 2, d: 4}. Give prob of sequence dm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eqeqqiieeqie?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 - -233 - 66\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303021432 + 11013?\nAnswer: -303010414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852385324.\nAnswer: 2, 7, 709, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*i = -384*i - 928 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -48*d + 52*d. Let g = -71 - d. Suppose -5*y + g = -y, -682 = -5*v - 4*y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6809669 + 120.4178.\nAnswer: -6809548.5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83159469*s + 14*s**3 - 83159469*s + 2.\nAnswer: 14*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96473 is divided by 216?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554445 divided by -12321.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -495*o**2 - 4*o + 3. Let t(h) = -989*h**2 - 7*h + 5. What is 5*f(u) - 3*t(u)?\nAnswer: 492*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46381 divided by 28?\nAnswer: -46381\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 t when three letters picked without replacement from taapp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2121?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h + 7. Let r be (-8)\/52 - (-63)\/(-13). Let v be l(r). Solve 0 = 3*n - 5*o - 8, -3*n + 1 = 4*o + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 3*a - 52, 2*w + 7 = -a. Suppose 9*m - 95 - 22 = 0. Let z = m + w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-10)*(-24)\/(-90). Which is the nearest to 4? (a) x (b) 9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 18*j**2 - j + 462. Let w be s(-19). Solve 14*r = 34*r + w for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4\/5 - 21*h**2\/5 - 18*h\/5 = 0. Calculate h.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4)*-2 - -2. Suppose x = -0*m - 3*m + 6. Let n be (-10520)\/(-45) + m\/9. Calculate the highest common divisor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 89547436.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -4, -12?\n\"Answer: -8*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 384910 + 769819 - 384909.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 10}. What is prob of picking 2 h and 2 b?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/80)\/((-4)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Let f = 338 - 156. Let k(s) = 187 + f + s - s - 367 - 2*s**2. Determine l(k(b)).\nAnswer: 4*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204454*n**2*r**2 - 540*n**2*r + 34*n**2 wrt r?\nAnswer: 408908*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 32. Let i(u) be the third derivative of 2*u**5\/15 - u**4\/8 - u**3\/6 - u**2. Is i(d) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:56 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 496\/36 + (-10)\/(-45). Let z = f + -11. Factor 9*w**4 - 9*w**5 + 2*w**3 + 6*w**4 - 8*w**z.\nAnswer: -3*w**3*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -102. Let b be 5\/((-186)\/(-30) + -6). Let j = b + h. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001102122000 (base 3) to base 7\nAnswer: -12162612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0211 + -0.02. What is n rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 59553.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from aqtttvqttvtq.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let g = 0 - 6. Let n = 8 + g. Let y(h) = -6*h**2 + 8*h**n + 2*h - 1 + 5*h**2. Determine 6*k(t) + y(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**7\/14 - 2*a**3\/3 - 6*a. What is the second derivative of y(r) wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356603678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/7, 2, 78\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*m**4 - 4510*m + 211*m**4 + 4512*m)*(-2 + 0 - 1)*(5 - 1 - 3)*(-3*m + m + m).\nAnswer: 1239*m**5 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 448, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l - 20. Let y be 2*(-4)\/l*5. Let f be 4\/(-6)*6\/(-4). What is the greatest common factor of y and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2 - 24)*(2 + 2 - 5)*((1 - 3 + 4)*(p + 0*p + p) + p + 3*p - 5*p + 2*p + 0*p + 0*p + (-2 - 2 + 2)*(-p + p + 2*p) - 4*p + 4*p + p).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29732880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.3. Let l = o + 0.5. Let p be 18\/(-15)*(-3)\/(-9). What is the closest to p in l, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*j**3 - 672*j**2 wrt j?\nAnswer: 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 8 = -11*s. Let m = -0.088 + 0.188. What is the closest to -1 in s, -49, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158282602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3556 - -3557. Let f = 0.8 - 0.3. Put f, -4, b, -0.09 in increasing order.\nAnswer: -4, -0.09, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3 - (-364)\/120). What is the hundreds digit of o\/5 - -155 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52356 + 8 + 64269 + 5302 - 5500 - 1268)*(5*v - 3*v - 3*v) to the form z + q*v and give q.\nAnswer: -115167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) -153 (c) -3 (d) 1\/9 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929555 is divided by 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58180, -118066, -177956, -237850, -297748, -357650?\n\"Answer: -2*s**2 - 59880*s + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - y + 66770, y + 79 = 87. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 25952169\nAnswer: -1\/25952169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 480\/72*(-36)\/(-30). Solve 2*d + 70*r = 66*r + 6, m = 4*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19427754 divided by -6475918?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 76. Suppose a + 3*m = 17467, 3*a + 34934 = l*a + 2*m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 42 = 5*t - 2*f, 0 = 4*t - 2*f + 30. Let q = 3 + -8. Let v = t - q. Put v, -1, 2\/3 in increasing order.\nAnswer: v, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/12))**(-30)*(d**6*d)\/(d\/(d\/(d**8\/d)*d)))**(-6\/7) assuming d is positive.\nAnswer: d**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/55 and 16\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (134\/133 - 2) + 1. Let r = t - -261\/665. Let m = 327 - 4249\/13. What is the closest to r in m, -0.3, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18203206.38 rounded to the nearest one thousand?\nAnswer: 18203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/((-585)\/(-12795)))\/((-1)\/39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-165 + 0)\/((-11)\/22). Suppose -64 = -c*r + 322*r. Solve r*s - 11*s - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-12)*(-4)\/5. Suppose -3*g + 43 = 4*n, -s*g = -2*n + 8 + 10. Calculate the greatest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*r + 1015 = 654*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4179 and 366359?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*z + 104 + 3*z**2 - 78 + 257*z.\nAnswer: 3*z**2 + 4*z + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9 and 71\/30762?\nAnswer: 30762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 26*k**2 - 264*k + 69. Let f be s(32). What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g**2 + 1. Let x be z(-1). Let s be ((-5)\/x)\/((-2)\/18). Is -3 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let o(c) = 2*c - 1306. Determine o(b(q)).\nAnswer: 2*q**2 - 1306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247863747*x**4 - 18859*x + 3021 wrt x?\nAnswer: 2974364964*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 166 and 16?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/99)\/1*(-33)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2661\/3840 + (-24)\/60 and -101\/10.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 3. What is the lowest common multiple of v(-18) and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + 1 - sqrt(637)) + 1 - sqrt(637)) + 6*(sqrt(637) + 0))**2 - -2*(sqrt(637) - sqrt(637)*-2)*-5.\nAnswer: -70*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 - -230.8. What is the closest to -2\/7 in q, -4, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 16*f**2 - 20*f - 32. Let d(n) = -n**2 - 8*n - 15. Let x be d(-8). What is the tens digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158228.642 rounded to the nearest ten?\nAnswer: 158230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376\/35 + 53\/5. Put -3, 2\/9, u in increasing order.\nAnswer: -3, u, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 618 in -35, 16, -3\/7, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + y**2 - 1. Let o be i(-1). Find the second derivative of 0 - l**2 + 0 - 4*l + o*l**2 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 5*r - 1. Let v(c) = 6*c**2 + 14*c - 4. Let d(a) = -14*a + 1271. Let y be d(90). What is y*z(l) - 4*v(l)?\nAnswer: -2*l**2 - l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrrnrnryqqqnnryq. Give prob of picking 1 y, 1 r, and 2 n.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1333 - 1322. Solve -6*p + a*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27533 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-507)*((-3)\/(-2) - 3). What is the fourth biggest value in y, 0.3, -0.1, -0.08?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -107*c**3 + 2245*c**2 - 30*c + 1485. Determine q(21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2316, -9489, -21520, -38409, -60156, -86761?\nAnswer: -118224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*w = -149*w + 10, 0 = -5*r - 5*w - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**5)\/v)**(-31)*(v*(v\/(v*(v\/v**(-1\/3))\/v))\/v)\/((v*v*v**24*v*v)\/v) assuming v is positive.\nAnswer: v**(-640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13545626 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326 + 651\/2. Which is the closest to 0.1? (a) r (b) 4\/5 (c) 0.3 (d) -26\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/90148955?\nAnswer: 2\/90148955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405790?\nAnswer: 2, 5, 7, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 - 0.07. Suppose 3*p = -2*i + 3 - 1, -6 = -i + p. Suppose 2*r = 2 + i. Sort r, -4\/7, x in decreasing order.\nAnswer: r, -4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/34656013 and -9\/523957.\nAnswer: 242592091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61339 + -26316. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 447 and 120.\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7))**33 assuming f is positive.\nAnswer: f**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 239*f - 151. Does 73 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8689*j**2 - 26*j - 4. Let p be v(7). Let m = 254147 + p. Round m to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((8976\/(-298))\/(-4)). Let h = -2\/935 + o. Find the common denominator of 361\/(-627) - (-3)\/9 and h.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -14. Let v be 28\/70*n\/(-2). Suppose -3*x - 108 = -5*j + j, -v*j = 2*x - 64. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 - 4. Let w be k(10). Let o be (-502)\/55 + (w - 110\/(-25)). Is -9 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-26 - -29) + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose -o*g - 133 = -5*q, 0*g - g = 4*q - 120. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27788.1 and 91274.3.\nAnswer: 119062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951 + 1422 = -192*y - 4561 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a**2 - a + 0*a + 3*a**2)*(-9*a + 25 - 25).\nAnswer: 117*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48720\/7308*(-24)\/70.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 + -10. Let c = 620 + v. Suppose -4*n = n - c. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 132\/(-9). Let y be (-4)\/x - 12\/(-7). Find the first derivative of 6*w**2 - 3*w**2 - 2*w**y + 2 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = -3*l + 10*l. Suppose -5*n + 193 + 77 = 0. What is the highest common divisor of n and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 651*g + 438 - 1140*g - 476 to t*g + h and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9)\/48*4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1038435 rounded to 2 decimal places?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8 or -1484?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 32 + 67. Suppose -21 = -3*t - 2*m - b, -4*t = m - 16. Calculate the smallest common multiple of 4\/(-14) - (-172)\/14 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 32. Let q = 83 + u. Let z(m) = -m + 3. Let y be z(7). Which is the closest to 1.6? (a) y (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 2*u**2 + u - 2. Let s be 0\/((-4)\/2)*-1. Suppose -i + s*i + 2 = 0. Calculate the remainder when o(i) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*w - 2*w + 111 = 0, -w - 87 = -3*g. Let y be (-1)\/(g\/84 + 1\/(-3)). Is y != -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - -58 - (1 + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 12 = 24*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -47 + (0 - -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -163. Suppose 3*w = 7*w - g. Calculate the remainder when w is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 9\/2*y**2 - 5\/2*y**3 - 7\/2*y - 1\/2*y**4.\nAnswer: -(y + 1)**3*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22395, -22795, -23197, -23601, -24007?\nAnswer: -24415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 73600?\nAnswer: 220800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241154*o - 185*o**2 + 161*o**2 - 241154*o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose 35 = r*u + 10. What is the remainder when 19 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361815.\nAnswer: 3, 5, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**5\/12 + n**2. Let w(d) be the second derivative of -16*d + 0*d**3 - 1\/12*d**4 + 0 + 0*d**2. What is l(w(g))?\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*j - 4*y, -4*y = 0. Let l = -0.4 - -0.3. Let s = -0.9 + l. Put s, -4, j in descending order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -376 in 8, -1\/5, -31, -32.3?\nAnswer: -32.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 2. Let p(w) = 2*w + 33. Calculate -p(v) - 4*y(v).\nAnswer: 2*v - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - a = 2, h - 2*a - 4 = -0*h. Factor 0*i**3 + 8\/9*i**5 + 0*i + h + 2\/9*i**4 + 0*i**2.\nAnswer: 2*i**4*(4*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/5)\/(9\/60). Does 10 divide (198\/b)\/((-3)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.883 + -15.783. Which is smaller: k or 75?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -983*16\nAnswer: -15728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 37*k - 348118771*k**2 - 1 + 348118777*k**2.\nAnswer: 6*k**2 - 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let g = 1.7 + -1.6. Let k = g + p. Which is the third smallest value? (a) k (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(27\/6 - 4). Sort -0.4, j, -4, -3.\nAnswer: -4, -3, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89298494+0.176579\nAnswer: 89298494.176579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*f + 20, 2*j + 10*f + 3 = 13*f. Let h be j\/4 + 105\/(-30) + 3. What is the closest to -1 in -2, -0.5, h, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(6\/(-32)). Suppose -1163*w + 9149 = -1318. Calculate the highest common factor of n and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3783216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let m be 0 - (-2 + j + 0). Suppose 2*z + 3*k = -0*k + 46, m = -2*k - 4. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 + 2*t + 2. Let l be j(-3). Let o = l - -12. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let x(q) = -3*q. Let p(u) = 21*j(u) + 6*x(u). Let k(h) = -h - 528. Let b(d) = 198. Let n(t) = -8*b(t) - 3*k(t). Calculate p(n(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -x = -d*x - 4*v + 34, 19 = 3*x - 2*v. Suppose -x = -2*s + 25. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718196 is divided by 1562.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 13*v**2 - 10. Let d(r) = r**2 - 1. Let m(g) = 4*d(g) - i(g). Calculate m(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/81 + (11 - (-711)\/(-81))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = 907 - 2113 + 702 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -2*h. Suppose -4 = -3*p + h. Suppose -q - 17 = -p*q. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31609142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 9:27 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2251953, -4503992, -6756031?\nAnswer: -9008070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -e6 (base 15) to base 5\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 - 5*v**2 + 5*v**2)*(36*v - 52*v + 14*v - 164*v**2) in the form g + o*v**4 + i*v**2 + j*v**3 + n*v and give o.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -39. Suppose 0*c = 5*c - 545. Suppose -4*j + c + 275 = 0. What is the highest common factor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2409, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 2. Let r be h(3). Let s(b) = -5*b**2 - 6*b + 4*b**2 + r + 3*b**2 + 0. Let z(j) = 4*j**2 - 13*j + 2. Give -13*s(o) + 6*z(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*b**2*j**2 - b**2*j + 2*j**2 + 42*j wrt j.\nAnswer: -46*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.3, -5, -59, 72\/17, 0.0343, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b + 0*b + (0*b + 4*b - 3*b)*(1 - 2 + 0) + 2 - 3 - b + 4.\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 25\/6*k**3 - 5\/16*k**4 + 218 + 45\/2*k - 135\/8*k**2. Factor r(t).\nAnswer: -5*(t - 6)*(t - 3)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 6*m + 277. Let n = m - -24. Let z(x) = -x**2 - 7*x - 4. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*i + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/3)\/4*3. Suppose 2*y + r*m - 90 = 0, 2*y = 2*m + 3*m + 90. Suppose f + y = -8*f. Let z(w) = -w**3 - 6*w**2 - 3*w + 3. Give z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4676.911 from 30.\nAnswer: -4646.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12 = -3*d + 2*c, -3*d - 4*c - 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3271\/27 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:35 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-2*k + 0*k + 0*k)*(8 - 2 - 19)*(-3 - k + 3).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) + 1 - 1. Suppose 206 = -4*g - 226. Let t = -435\/4 - g. Which is the nearest to 1? (a) 5 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 892557.\nAnswer: 9818127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -81, 12, -24, -3 in ascending order.\nAnswer: -81, -24, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 370*a + 5566. What is v(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75728.9 rounded to the nearest 100?\nAnswer: -75700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -17466, 1.8, 3\/5.\nAnswer: -17466, 0.5, 3\/5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n\/(n**(-1\/4)*n)*(n**2)**(1\/6))\/((n*(n*n**(1\/5))\/n*n**(-3\/8))\/(n**2\/n**(-2\/3))) assuming n is positive.\nAnswer: n**(-183\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839636 = -3*z - 2723636. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 2*r - 21, -5*r - 39 = -8*x. Solve b + 4*s - 5 = 2*b, -8 = x*b - 5*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*c - 2609*c + 71664 = 184*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*n**6 + 12*n**5 - 38*n**3 + 53404*n**2 - 3*n - 1 wrt n?\nAnswer: -10320*n**3 + 720*n**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Let t be k(-2). What is the tens digit of t\/4 - (-2366)\/56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 2*(-3*(sqrt(405) + sqrt(405) + sqrt(405)*1) - (sqrt(405) + 0 + sqrt(405) + -4)))**2.\nAnswer: -1980*sqrt(5) + 196045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 20 = -5*d + v, -3*d + 22 = 5*v. Is d at least -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-48)*(1 - 16). Suppose l*d + 2*i = -44, -d + 2 = 2*i + 2*i. List the prime factors of d\/40 + (-987)\/(-12).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75218 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: What are the prime factors of 59010965?\nAnswer: 5, 13, 109, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -2\/125?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8995 + 8989. Which is the third smallest value? (a) -5 (b) 4 (c) 0 (d) l (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 20 = -4*v, -d = -2*v - 0*v + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/161)\/(3\/(-42)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 143. Let z = 27 - 10. What is the remainder when z is divided by i(38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2174 + 2196 = 5*j - 4*m, m + 8 = 2*j - 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = r - 2*r, 0 = 3*r + 2*x - 18. List the prime factors of 226*((-40)\/(-144) - r\/(-18)).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/7 - 4\/14. Let h be 24\/99*(-72)\/32. Let q = 45\/22 + h. What is the second smallest value in o, q, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54943894219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1100000000 (base 2) to base 15\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 26*v**2 - v + 11. Let q(j) = -2*j**3 + 9*j**2 + 4. Let s(d) = 11*q(d) - 4*u(d). What is the remainder when s(-4) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 77*i**2 - 25*i**2 + i**2 + 2*i**2 - 4*i**2 + (4 - 4 + 1)*(-2*i**2 + 3*i - 3*i) + 3*i**2 - 3*i**2 + 2*i**2.\nAnswer: -106*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)\/((o*o\/(o\/(o**(2\/9)*o)))\/o)*(o*o\/(o\/o**(-2)))**(4\/21) assuming o is positive.\nAnswer: o**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddeikc. Give prob of picking 1 c and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 28. Let d be p(5). Let s(l) = 4*l + 8. Calculate the remainder when 479 is divided by s(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = m - d, -4*d - 22 - 10 = -6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -97838 greater than -97838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 6. Suppose -4*g - s*a = -84, -a = g + a - 15. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53558, 92.4, 1?\nAnswer: 92.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -183, -609, -1435, -2793, -4815?\n\"Answer: -22*k**3 - 2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/20 + t**4\/6 + t**3\/2 - 2*t. Let c be m(3). Suppose c = 2*d - 4264 + 90264. Round d to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44695 + -2.65241163.\nAnswer: -44697.65241163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000428884766 rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 11*b**5 - 10*b**5 + 3*b**5 + (b**2 + 0*b**2 + 0*b**2)*(-4*b**3 + 6*b**2 - 6*b**2).\nAnswer: -22*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32958, 63638, 92030, 118128, 141926, 163418, 182598, 199460?\nAnswer: 213998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 - 495*l**2 - 1698*l.\nAnswer: 6*l - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 2. Let f be 0 - (-6)\/3 - (5 + -1). What is d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/40 + 11*a**5\/60 - 11*a**3\/6 - 2*a**2. Let z = 8 + -4. Let x(r) = r**3 - 4*r**2 + 4. Determine z*p(f) + 11*x(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)*u*u**4*(u**(-5\/7)\/u)**(-38) assuming u is positive.\nAnswer: u**(1459\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 2*u - 2. Suppose 22 - 12 = 5*z. Suppose -2*h - 4 = 0, 0 = x + z*x + h - 10. Let o(a) = -a**2 + a + 1. What is x*q(w) + 9*o(w)?\nAnswer: 3*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -3cb?\nAnswer: -3ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*t + 4*r, 5*t + 3*r + 2432 - 2431 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -148, -152, -156, -160?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 123, 2, 266.\nAnswer: -5, 2, 123, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40982, 41902, 42810, 43700, 44566?\n\"Answer: -l**3 + 927*l + 40056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxypxpy. What is prob of picking 1 x and 2 y?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 13*d**2 + 6*d - 3. Suppose 0 = -5*w - 15, -3*n + 6 = -0*n + 3*w. Let k = n + -1. What is the lowest common multiple of f(-7) and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 436866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 117 = -39. Let z be t\/6 + 7\/((-63)\/(-6)). Solve -4*p + 4 = -z*d - 7*p, -5*d = 2*p + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.873 * -1.9\nAnswer: -9.2587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1587.220305.\nAnswer: -1586.920305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563439623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 29 + (3 - 2) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 + 2\/10. Which is the closest to 0.1? (a) 4 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-4)\/(-14))\/((-500)\/(-175)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 21*m + 279, 42*r - 77*r + 8*m = -33*r - 118 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -1 (b) 4 (c) -4\/3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -50925 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from uoooouoll?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -396\/71, 8\/13, -9?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 7*v - 4*v - 13*v + 3*v - 2*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 - 2*u + 5. Let x = -100 - -192. Let c = 40 - x. Let r = 57 + c. Calculate b(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3662153)\/462 + 2\/(-21). Let j(p) = 7947*p**3 + 2*p + 1. Let m be j(-1). Let l = w - m. Find the common denominator of -44\/3 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2. Let k = -230 + 750. Let n = k + -359. Let c(o) = -n*o + 75*o + 4*o**2 + 86*o. Give c(f(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {q: 8, d: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxxyyxyyyyyyxx. Give prob of picking 4 y.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*u, 2*u = -0*o - o + 6. Let l(w) = 2*w**3 + w**2 + w - 2. Calculate the smallest common multiple of l(o) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*n. Suppose n*r = 51 - 0. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i + 51*i - 392*i - i**2 - 337*i + 24*i - 101124.\nAnswer: -(i + 318)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1364)\/186)\/((-28)\/12 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 2\/9*r**3 - 16\/9*r**2 - 22\/9*r.\nAnswer: 2*(r - 9)*(r - 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 32 = -0. Let d(b) be the third derivative of -1\/24*b**q - b**2 + 0 + 0*b - 1\/6*b**3. Give d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2\/y*y*(y*y\/(y**(1\/4)\/y))\/y)\/(y**(-6)*y*y\/y**9)*y*y**7*y*(y**(-2)*y)\/y*y*y**(-6)*y*y*y*y\/(y*y\/(y*y*y**(3\/5)\/y*y)) assuming y is positive.\nAnswer: y**(487\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-81)\/4)*384\/256. Determine u so that 0*u + 0 - z*u**2 + 2\/9*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 484042331.\nAnswer: 484042331.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21809 and -3.36.\nAnswer: -21812.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -156*h**3 - 2*h**2 - 8*h - 5. Let k be m(-6). Let q = k + -10167. Suppose -p + q = 4*p. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*y + 2 + 7 = 0, -5*y = -346*f + 335*f + 51 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467136824 to the nearest integer?\nAnswer: 38303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06673 - 0.18327. Which is the third smallest value? (a) i (b) -3 (c) 0.3 (d) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 384*b**3*z - 13*b**3 + 12*b wrt z.\nAnswer: 384*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -305, -445, -577?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 54*v**2 + 60*v - 36. Let u be m(27). Suppose h = 5*h - u. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 63.1. Let o = -3.89 + -0.11. Let i = o + c. Is -0.5 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(3\/2))\/k)\/k)\/(k*k*k**(-5)*k))\/(k\/(k**4\/k*k)*k**(1\/9)) assuming k is positive.\nAnswer: k**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - t)*(-4 + 5 - 2) + 4*t - 2353 + 2*t + 2349 to the form n*t + m and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -393*i**8\/56 + i**7\/21 + 91*i**4\/12 - 770*i. What is the third derivative of n(o) wrt o?\nAnswer: -47160*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 39 = 228. Let r(c) be the second derivative of u*c + 1\/3*c**3 - 3*c**2 + 0. Find the first derivative of r(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38764 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: (-9 - (1 - 13)) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22653522.\nAnswer: 2, 3, 59, 83, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -20*q + 24*q - 4*s, -5*s - 20 = 0. Solve -10*m + 14*m + q*l = 16, -5*m + 12 = 3*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1472, -2961, -4454, -5951, -7452, -8957?\nAnswer: -10466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*u - 0*b + 3*b, -u + 2*b - 14 = 0. Is u equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -44*u - 1. Let q(m) = 44*m. Give -3*q(b) - 2*v(b).\nAnswer: -44*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -322, -5\/33, -5, 2, -1.2?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 - 2*w - 6*w**2 + 0*w**2 + 3*w**2 + (2*w - 2*w + 2*w**3)*(-5 + 28 - 7).\nAnswer: 28*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let m(a) = -a**2 - 281. Calculate m(g(k)).\nAnswer: -k**2 - 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose 0 = -p + 2*p - w. Let s be 18\/(-2)*(-1)\/3. Solve -s + 0 = p*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.34, -3, 10, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 655 + -459. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 30, 71, 136, 231, 362, 535?\n\"Answer: p**3 + 3*p**2 + 7*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:35 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 6316 (c) 0.1 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 21 + 4*f**2 - 9*f**2 - 21.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-96)\/(-360)*-25)\/(-1*4))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.23, 2\/15, -1\/5, -4\/5, -7, 90?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 13*g + 15. Let t be y(12). Suppose 3*a + 39 = 5*b, b - 5*a - 3 = t*b. Suppose -207 = 3*m - b*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqi when three letters picked without replacement from wqwwqwwwwiiqwwiiww?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -31, -93, -201, -367?\n\"Answer: -2*d**3 - 5*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - ((-2)\/(-20) - 19899\/(-2010)). Let u be (-134)\/(-6) + 1\/(-3). Solve 5*v - u = -w, -c*w = -5*v + w + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/2*((-1045)\/(-57))\/55\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 319 = 352 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 189, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 8. Let h be n(-6). Let l be -1 + 1 + (0 - -2). Suppose -l*s = -4*s + 4. Solve 3*m + h*m + 3*r = -11, -3*r = -4*m + s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -22. Let v = n - -75\/7. Let i(j) = j - 3. Let b be i(3). Are v and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -37. Let n be (-2 + 12)\/(y - -6). What is the nearest to -1 in n, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-52)\/3*9\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1314 and 191\/6570?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3 - 2) + (1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76511\/10 + -7642. Let b = d - 23\/5. Calculate the common denominator of b and (-3)\/4*62\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**3\/3 + 2. Let i(n) = 65625*n - 32844*n - 32880*n. What is h(i(m))?\nAnswer: -19602*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 - -370. Let l(q) = -16*q + 7. Calculate the remainder when l(f) is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**2 + v + 4*v**2 - v to d + a*v**2 + r*v and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - (-96)\/54. Suppose 13 = -6*u + 1. Put m, -3, u in decreasing order.\nAnswer: m, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 7. Let g(k) = 8. Determine 5*g(r) + 6*l(r).\nAnswer: -6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671055 and 10780?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-108)\/80 + 2\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20570 = -7*v - 20605 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 91?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8568 and 6120.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 22.4?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 38*n = 40*n - 13978, -r = -3*n - 3512. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 38*g**2 + 504*g + 134. Let b be w(-13). Let r(y) = -y + 3. Let s be r(8). Put 0, 3, s, b in descending order.\nAnswer: b, 3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and (-1380)\/966 + 59266\/40712.\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = u + 4692 - 1334. Which is bigger: u or -440\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 50. Let d be (5\/(-25))\/((-6)\/(-20)). What is the second biggest value in d, 1\/8, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17507 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*19\/1425*10?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45371 - 45*b**3 + 15130 + 15122 + 15119.\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w - 6*w - 7*w**2 - 11 + 8*w**2. Let q be k(9). Suppose 0 = -2*b + 4*b - q. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 2*x**3 - 3*x**3)*(3*x + x**2 - 3*x - 2*x + 2*x**2 + 2*x + (3 + 0 - 1)*(x**2 + 0 + 0) + x**2 - 3 + 3).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(5\/2))\/((j**(-21)*j)\/j*j*j*j))\/(j**(2\/79)*(j*j**(-5\/3)*j)\/j))**(-1\/18) assuming j is positive.\nAnswer: j**(-8599\/8532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79748, 159504, 239264, 319028, 398796, 478568?\nAnswer: 558344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 17. Solve 0 = -3*j + 4 - g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82528 is divided by 8249.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least -61723491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -6 + (-2 - -4) + -4 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**3 - 14*a**3 + 8 + 0 + 24*a**3 + 6*a**2. Give h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*p**3 + 2645 - 2645 - p to the form s + o*p**2 + x*p**3 + q*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(432)*-6)**2 + sqrt(432)*2 + 0 + sqrt(432) + sqrt(432) + ((sqrt(432)*-2)**2 + -4 - sqrt(432)) + 5*2*sqrt(432) + sqrt(432))*4.\nAnswer: 672*sqrt(3) + 69104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 14*p + 23. Let o be g(-17). What is the tens digit of o\/(-24)*182 + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271600*b*j**3 + 4*b*j**2 - 4*b*j - b - 7*j**5 - 4*j**3 - 15*j**2 + 196*j - 2 wrt j?\nAnswer: 1629600*b - 420*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/11 + 6758*a**4\/11 + 614*a**3 - 6758*a**2\/11 - 6756*a\/11 = 0?\nAnswer: -3378, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 366553374 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 3968\/(-28)) + (-10)\/(-35)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103647 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 756600096 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a8 + -3?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20679440 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*f + 9 + 6, y - 2*f = -8. What are the prime factors of 46*y\/(2\/(-1))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073292462 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -2081 + 2061. Let x = -112 + 229. Suppose n = -f*n + x. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 4. Let t = 53 - 51. Let m(d) = t*d**2 + 66 - 66. Give m(i(g)).\nAnswer: 8*g**2 + 32*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 24 = -42. Solve 3*s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/11 - 1140226*s**2\/11 + 162519547280*s\/11 - 1462583568672\/11 = 0.\nAnswer: 9, 285052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 18 + 5)*(5 + 5*r - 3 - r) in the form q + w*r and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 5 + 1995\/180.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (-34 - -30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*g**5 - 544*g**2 + 2863843*g?\nAnswer: 480*g**3 - 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -144*k - 34. Let j(h) = -430*h - 91. Give -4*j(p) + 11*o(p).\nAnswer: 136*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2249.6, -2\/3, -1\/5, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 2. Let c(b) = 7*b - 3. Let v(o) = -5*c(o) - 6*q(o). Let k be v(-2). Let p = 3 - k. Solve 8 = p*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:36 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-5)*4\/(-6). Let t be 10*((-8)\/(-35))\/o. Which is the closest to -1? (a) t (b) 0.2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**(-35)*d**(2\/11)*(d*d**(-2\/15)*d)\/d)\/((d**0\/d)**(-1\/42)*(d**(-2\/13)\/d)\/(d*d**(2\/13)*d)) assuming d is positive.\nAnswer: d**(-220249\/30030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:16 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/3*-9 + 1. Suppose 4 = -5*j + v. Find the second derivative of 3*o - j*o**2 - 11*o + 6*o**2 wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(36)\/sqrt(3)*-4)*4)\/(1*sqrt(243)*-6*-1).\nAnswer: -sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 + 16*o - 2. Suppose 4*j + 0*j - 30 = 2*z, 3*j + 4*z = 17. What is the remainder when a(j) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80135 minus -0.5?\nAnswer: -80134.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 2162?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6809686*z**4 + 13*z**3 - 60054619*z**2?\nAnswer: -163432464*z + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, k: 3}. What is prob of sequence kk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 292*y - 577*y + 303*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 9*h**4 + 9*h**4 - 5*h**4 + 3*h**4 + 4*h + h**4 - 4*h + (4*h - h - h)*(h**2 - 2*h**3 - h**2) + 2*h - h**4 - 2*h.\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 114\/(-40) + 32\/(-80)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.02, 5\/4, -5\/2, -336 in decreasing order.\nAnswer: 5\/4, -1.02, -5\/2, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 847 - 849.928. Let d = a - -3. What is d rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-6) + (-28)\/(-84)*51\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 - -434. Let u(z) = z**2 + 9*z + 5. Let x be ((-3)\/(-2))\/(1\/(-6)). Let k be u(x). Sort 1, k, m, -1 in increasing order.\nAnswer: m, -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9012729591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -1\/2, -0.1, 0.07, 2, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39005208 and 0.097731?\nAnswer: 39005207.902269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and -1957676687095.\nAnswer: -1957676687072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, 11, -161, -1 in ascending order.\nAnswer: -161, -4, -2, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 170\/13*g**2 - 2\/13*g**4 + 82\/13*g**3 + 86\/13*g + 0.\nAnswer: -2*g*(g - 43)*(g + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:37 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 6*j**4 + 5*j**5 - 2*j**5 + 7*j**3 + 0*j**3 - 4*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 80, 88?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 412326.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 6*p + 0*p + 2*p**2 - 2*p**4 + 2*p**3 + 4 to b*p**4 + u*p**3 + m*p**2 + h*p + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllghzxhgxxguhg. What is prob of sequence gzh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 12}. What is prob of sequence ouu?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466249*o - 465966*o - 10188 = 0 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15733685273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 129, -3 in increasing order.\nAnswer: -4, -3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101.6 + -99.6. Let x be (-10)\/(-2)*4\/4. What is the nearest to b in 0.1, -0.03, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 109*p**2 - 1\/3*p**3 - 1\/12*p**4 + 0 + 0*p. Give v(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 133*w + 128*w - 30, v = w - 118 + 117 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -85\/4732.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 6, g: 1, f: 7}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/3 in -35, -3, -2\/9, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -52. Suppose -a = 4*o - 1, -z*o - 5*a = o - 5. Solve -2*b = 3*s - 23, s - b + o*b - 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 77, 399, 1243, 2783, 5193?\n\"Answer: 29*u**3 - 229*u + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45241\/11 + -4109. Let r(p) = -p + 9. Let g be r(-3). Find the common denominator of a and 1 - (2 - 2) - (-207)\/g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.762496 to one dp.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*r + 5*r**2 + 4*r**2 - 25*r**2 + 14*r**2 as l + z*r + b*r**2 and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -h + 137, -h - 16*o = -14*o - 139. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 118?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (12 + -15 - -3) - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 130 = -4*m + 169, -3 = 3*l - 3*m. Solve -2*j - l = -q, -1 = 2*j + 4*q + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + f = -35, 0*q - 40 = -3*q - f. Let l be 448\/(-210) + 2\/15. Is 5\/l*(-84)\/q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901511577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*p + 44. Let y be (-4 + 5 + -71)*(-4)\/10. Suppose -2*g - 20 = -3*r, 3*r - 3*g = g + y. Calculate the greatest common divisor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121.5*-91.1\nAnswer: 11068.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/9746719?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4 + 24. Sort 6, 2, -1, n in increasing order.\nAnswer: n, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 14. What is u(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35520 and 10656.\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -610*x**3 + 16*x**2 - 11*x - 2. Let m be g(4). Round m to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8879896, 17759787, 26639678, 35519569, 44399460, 53279351?\nAnswer: 62159242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002560863 rounded to five dps?\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*b**3 + 36*b**3 - 217*b**3 + 36*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from txfttxjjf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-2)**2 - (2*sqrt(275))**2.\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {n: 1, s: 1, z: 7, l: 2, u: 1, r: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 203 = -2*f, 2*f = -5*n + 191. Suppose 12*i - 41 - f = 0. Solve -3*l = -v + i, v + l = 3*l + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041, 4234, 6427, 8620, 10813?\nAnswer: 13006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3764 + 81)*-1*(0 + -1). Which is bigger: -3684 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-50))\/6*1590\/(-848)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*p + 12, 0 = 48*r - 51*r - 4*p - 37. What is the nearest to 4\/5 in 0.26, r, 5, 1\/6?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 6) + 279\/(-81). What is the second smallest value in n, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 22. Suppose 12*l - 10*l - 10 = a. Solve 2 = l*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(1 - (19 - -1)). Let m be ((-2)\/6)\/((-45)\/21330). Suppose m = 4*f + 154. Sort 0, f, z.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 760*t**3 + 755*t**3 + 10*t**2 - 1 + 27*t**2 - 1514*t**3 in the form w*t**3 + p*t + z + b*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 17*c**2 + 3*c - 16. Let t be r(17). Suppose -27 = -4*w + u + 4*u, -2*w + 3 = u. Suppose 2*o + w - t = 0. Solve -6 + o = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, c: 1, x: 12}. Give prob of sequence tct.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 - 0.03?\nAnswer: 2323.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-35)\/28*4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*5 + 5.\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = h + 32*h. Suppose -d = d + h*d. Let a = 7 - 4. Solve d*l - a*l = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 5*d - 1. Let o = 3 + -6. Let r be y(o). Suppose r*h = -0*h + 30. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282*d + 1661*d - 975*d + 2.\nAnswer: 1968*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216392?\nAnswer: 2, 402049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1354, 555, 0, 0.17, 0.4, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/27 + -4\/27. What is the second smallest value in q, -0.2, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose 3*j + y*u + 2 = -2, -2*j + u + 12 = 0. Let h = -4 + j. Which is the third biggest value? (a) 4 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42075 divided by 561?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 2*z**2 + 3*z**2 - z + (-2 + z + 2)*(-5*z + z + 0*z).\nAnswer: -5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:30 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1820 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)\/(3 - 2). Let f = -2 - l. Solve 0 = -4*b - 0*n + 3*n - 11, f*b + 8 = 2*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102353707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20351, 40629, 60901, 81167?\n\"Answer: -3*v**2 + 20287*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3386834357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m - 5. Suppose 0*x - 4*x = 0. Let a be l(x). Suppose 3*s + 3*w + 27 = -0*w, 5*s - 3*w = -21. Do s and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2024424?\nAnswer: 2024424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-3)\/(4 - 7). Put 11, v, -4 in increasing order.\nAnswer: -4, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4629 is divided by 280.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212*h**3*n - 1196*h**3 + h**2*n + h**2 + n + 2 wrt n.\nAnswer: 212*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/5280541 and 151\/20454.\nAnswer: 31683246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33964 - -1808?\nAnswer: 35671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m + 482*m - 55*m to the form n + j*m and give j.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d. Let k = 3 - -31. What is the smallest common multiple of k and a(7)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -6*t - 892 + 292 + 295 + 302, -3*t + 2 = -2*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29314875 by 390865.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/(a*a\/((a\/a**(-1))\/a*a)))\/a))**9*(a**(-1\/4))**(-8\/9) assuming a is positive.\nAnswer: a**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11197 is divided by 1863.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7 - -10. Let o = j + 1.5. Let i = -4.2 - o. What is the smallest value in -1, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1290 - -1302. Solve -90*y + 88*y = b for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x - x)*(-22 - 11 - 21) - x + 5*x + 5*x.\nAnswer: -99*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -m - 0*g + 2*g, -2*m = -5*g + 17. Let i(k) = k**2 - 2*k - 1. Let d be i(m). Let j = -23 - -47\/2. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161 + 39*a - 143*a + 58*a - 112*a wrt a?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2 - 19*i + 9. Let m be y(5). Calculate the highest common divisor of 80 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8193.505344 rounded to 1 decimal place?\nAnswer: 8193.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1231*h + 102 + 153 - 255 to r + k*h and give k.\nAnswer: -1231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -249, 22450 in descending order.\nAnswer: 22450, 2, -0.3, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 32. Suppose -v + 46 = -2*p, 0 = -o*p - v - 2*v - 60. Let w = 5 - p. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-12))\/(1 + (-507)\/504). Let h be (-26)\/f + (-2)\/((-28)\/(-6)). Let x = 1\/31 - -15\/496. Put -2\/11, x, h in ascending order.\nAnswer: h, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*o + 1732*o - 14711 + 16309 = -43759 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 280, 0, -0.054, 2, 12, -2\/7?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 923\/217 + -30\/7. Let a be (-696)\/(-1188) - (5 - (-1395)\/(-275))*-5. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 677*t**2 - 668*t + 6246. Give k(-676).\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - 119. Calculate the lowest common multiple of s and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-3)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 10*n**2 - 481*n - 4. Let u(c) = -5*c**3 - 22*c**2 - 960*c - 9. Let t(a) = -9*r(a) + 4*u(a). Find the second derivative of t(j) wrt j.\nAnswer: -12*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:54 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 51. Let v = -128.2 - -128. Which is the second smallest value? (a) t (b) 4 (c) v (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(100))\/(sqrt(5)*-2*-1) + ((sqrt(10) - (sqrt(10) + (sqrt(10) - (sqrt(10) - -3*sqrt(10)*-2) - sqrt(10))))\/(sqrt(2)*1*6))**2.\nAnswer: 3*sqrt(5) + 305\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 124048 in -10, -1\/3, 4, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 1. Let d be v(7). Let u = d + 33. Suppose 4*h - u = -5*r, -4*r + 3 + 13 = 5*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/((22\/(-16))\/11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k - 2017 + 463. What is the least common multiple of k and 651?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3052 + -0.3452. Which is the second biggest value? (a) z (b) 1\/14 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16.11923 decades?\nAnswer: 1934.3076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21853010 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.1, -0.03, 1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*d = -6, 86*z + 4*d = 90*z + 20. Let h(l) = -l**2 - 5*l - 4. Determine h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8576 is divided by 405?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (0 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 1\/4, 4, 22\/9, -10, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19.46105, 0, 2\/11, -6\/7, 2?\nAnswer: 19.46105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 785932*v**4 + 797203*v.\nAnswer: 9431184*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 5, -1\/4, -2\/41, 6\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971949 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 36*g = 32*g + 1056, 4*a = 4*g + 1380. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6492 divided by 6?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let v(p) = 5 - t + p. Let k(g) = -2*g**2. Give v(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 888778\/89 - 9986. Which is the third biggest value? (a) x (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 9. Let i(j) = j - 1. Let c(q) = 6*i(q) + x(q). Let r be c(-2). Suppose -r*l + 50 = 25. What is the smallest value in 4\/3, l, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -55*i**3 - i**2 - i. Suppose t + 0*t = -q + 4, t = 2*q + 7. Let d be g(q). Let f = -2 + 7. Calculate the highest common divisor of d and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 6. Let b(g) = g + 5. Let k(i) = -3*b(i) + 2*l(i). Let u be k(5). Differentiate -u*d - 2 + 0*d + 3 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*g + 122*g + 35 = 0. Let f(s) = 7*s**2 + 6*s + 3. Let n(k) = 3*k**2 + 3*k + 1. Let d(m) = g*n(m) - 2*f(m). Calculate d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + -5 + sqrt(325))*-2 + sqrt(325).\nAnswer: -25*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + 5*t**2)*(-2 + 2*t + 2)*(-t + 2*t - 7*t - 2*t - 5*t + 5*t + (0*t + 3*t - 2*t)*(-3 + 1 + 1) + 3 - 3 - t + 3 - 3 - t).\nAnswer: -154*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/7 + 4336*k\/7 - 2350112\/7 = 0.\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 11. Let y = a - 13.8. Let h = y - 3.4. What is the third biggest value in 1\/4, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-6) - 10\/(-15). Suppose 0 = -l - t - 6. Let w = l - -18. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.6, 0.1, -5\/3, -3 in increasing order.\nAnswer: -4.6, -3, -5\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2257728 and -139\/1128864?\nAnswer: 2257728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-1)\/(4\/68*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 3}. Give prob of picking 3 h and 1 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-1) + 1 + -1. Suppose 2*q + f + 11 = 7*q, q - 23 = -g*f. Suppose 3*a = 2*a. Solve a = -r - q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*r**2 + 10*r + 1308 + 12*r**3 + 22*r - 32*r with respect to r.\nAnswer: 36*r**2 - 110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 3969 - 5447. What are the prime factors of d?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 15*x + 2 + 31*x**3 - 5*x - 8*x to the form f*x**2 + u*x + j + m*x**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.160437 centimeters in kilometers?\nAnswer: 0.00008160437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1246*a + 17022 + 18144 + 25888 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*h**2 + 34*h**2 + 14*h**2 + 2 + h**2 - 2 + (1 - 5 + 3)*(3*h - 3*h - 2*h**2).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and -43\/115?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - 0) + (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (39 - 34) + (-6 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-21))\/((-17)\/(1666\/(-14))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuu. What is prob of picking 1 h and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -38785 divided by -5\nAnswer: 7757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3394*d - 1120*d - 768 = 1123*d + 1127*d for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y + 68*y - 30*y + 22*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f**2 + f. Suppose -h + 10 = 24. Let l(t) be the third derivative of t**5\/60 + 7*t**4\/12 - t**3\/6 + 102*t**2 + 4*t. Let x be l(h). What is y(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1513 by 3.\nAnswer: 1513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -23. Suppose 0 = -0*c - 2*c. Suppose 0 = z - c*z - 14. What is the remainder when y is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 3*g - 15 = 9, -5*g - 7 + 21 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*h + 2*j + 7, 4 = -j. What is the third smallest value in 5, h, 5\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + o = -33, -19 - 38 = -4*m + 5*o. Is 1 + 5500 + m\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508 + 526. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173738 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o. Calculate x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1020 - 1026. Let b = 0 - 0. Let g = -17\/26 + 2\/13. Sort b, g, m in ascending order.\nAnswer: m, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 219 = 35*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 22*m**3 + 8*m**2 - 6*m + 4. Suppose -3*a = -9 - 3. Let z = 3 + a. Let j be v(z). What is j rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 5\/12*r**4 - 1\/2*r**3 + 3*r**2 + 0 - 28*r. Let b(n) = -3*n**2 + 2*n - 4. Determine 8*b(s) + 5*c(s).\nAnswer: s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -71*1\/(-12) + -3. Suppose 37*w - 26 = 84 + 38. Are d and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -16713 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*h - 228870*c**3 - 25*c**2*h - 778*c*h wrt h.\nAnswer: 2*c**3 - 25*c**2 - 778*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 9*n**2 + 34*n - 199. Is 12 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 9 = 4*m - 1, -16 = 4*m + 3*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -4. Let y be d\/10 - 4\/10. Let g(r) = 12*r + 3. Does 17 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13015, 17206, 21387, 25558, 29719?\nAnswer: 33870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(-4 + sqrt(1539)*-2 - (4 + -3 + sqrt(1539))) + -2)**2.\nAnswer: 62370*sqrt(19) + 3122404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-530)\/(-265)*-1*(-3)\/6*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 11*u**2 + u + 15. Let a be b(-11). Let g = -21 - -23. Let c(l) = -a*l - 4*l + g*l + 5*l. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 5*s + 5. Let c be o(6). Let m be -1 - (6*c + 0). Suppose -m*f - 9233 - 5767 = 0. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, -3\/5, -3.068, -2\/9, -0.3?\nAnswer: -3.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15771.91 minus 15.32?\nAnswer: 15756.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717 - 59399*k - 717.\nAnswer: -59399*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4523 divided by -127\nAnswer: -4523\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (4 - 3)) + 4. What is the third derivative of -q**2 + 0*q - 4*q**3 + 4*q - h*q wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -1.97. Let q = -21 - -12. Let s = q - -8.9. Which is the third biggest value? (a) k (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 5. Let p(x) = -3*x + 4. Let w(l) = -4*j(l) - 5*p(l). Let o(q) = -2*q + 4 + 11495*q**2 - 23000*q**2 + 11502*q**2 + 2*q. Calculate w(o(r)).\nAnswer: -9*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3478147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**5\/100 + x**4\/40 - x**2\/2 - 2*x. Let r(y) be the first derivative of k(y). Factor r(q).\nAnswer: 3*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*y - 45 + 180 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 138*n + 230. Let m be y(45). Solve 9*s + 50 - m = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*o = 849*o + 2060*o - 13998 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*d = 110, -176 = -5*c + d + 3*d. Let v be (0 + (0 - -1))*1. Let g be 0 + v*48\/2. Calculate the highest common divisor of c and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15603 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*m + 5*m, 0 = 4*x - 5*m - 14. Suppose 7*t + x = 8*t. Solve f + 2*f - 37 = 5*c, -t = -4*f - 3*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i + 217. Give x(-26).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 84, 158, 254, 372, 512, 674?\n\"Answer: 11*i**2 + 19*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 135*j**3 - 975*j**2 + 845*j.\nAnswer: -5*j*(j - 13)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, b: 1, k: 3}. What is prob of picking 1 b and 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 - 176. Suppose 4*o - 2*k + 0*k = 102, 2*o - 4*k = 36. What is the remainder when o is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l + 41. Suppose 3*a - 3*q = 2*a + 21, -19 = -4*a - q. Let m(p) = -2*p - 7. Let r(k) = a*s(k) + 34*m(k). Find the first derivative of r(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0)*(0 + 0 - 2*g) + 4*g - g - g + g + 0*g + g + (1 - 5 + 1)*(g - 5*g + 3*g) to the form v + b*g and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1149805*a**3*s + 3*a**2*s + 14*a**2 - 299*a*s + a + 2 wrt a.\nAnswer: 6898830*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 69. Let p be r(10). Is 2\/263 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*c + 3, 4*c - 4*z = z + 3. Suppose -76 = c*m - 6*m. Suppose 0 = a + 1, 2*q - 5*q + m = 2*a. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*z - 2. Let t = -13 + z. Let y be -2 - 1*(-8 + t). Solve -4*r - 11 - y = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 526 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1005.8*0.36869.\nAnswer: -370.828402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((17*d - 40*d - 93*d)*(3 - 2 + 0) + d - 4 + 3 + 0)*((0*d - d + 4*d)*(0*d - 4*d + 2*d) + 2*d**2 + d**2 - d**2)*(50*d - 4*d**2 - 50*d).\nAnswer: -1840*d**5 - 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*a - 7391 + 10763 = -38698 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 857818, 1715623, 2573428?\n\"Answer: 857805*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(11730\/952)*5\/(70\/24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 212 = -4*s - g, -s + 44 = -4*g. Suppose 4*a + 84 = 4*j - 12, 0 = 4*a + 2*j + 96. Let o = s - a. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(20))\/(sqrt(810)*-1 - sqrt(810)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 55 (c) -5 (d) -593\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 14. Let b be o(-3). Suppose -b = h - 100. What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001075200417 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 109*o - 3. What is the units digit of b(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(30\/4)*588\/(-56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boob when four letters picked without replacement from obbbobbbbbbbobbbbbbb.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (22 - 11) + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920899073 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -41*q**2. Let n(m) = 0*m**2 + 4*m**2 - 4*m**2 + m**2 - 5*m**2. Determine a(n(o)).\nAnswer: -656*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -253 * -0.125345\nAnswer: 31.712285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let f(u) = 37 + 11*u**2 - 37. Give j(f(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 - 6 = 0. Suppose -c*x = 4*k - k - 12, 8 = 2*x + 3*k. Let g be (19199 + 1)*x\/(-6). What is g rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a211 (base 16) to base 11\nAnswer: -108714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 41\nAnswer: 14\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98044123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -309*z - 193. What are the prime factors of c(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73522769*q**3 + 41199375*q**2 wrt q?\nAnswer: 441136614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g + 337 = -3*a, -4081*a + 4077*a = 2*g + 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**3 - 40*i**2 - 87*i - 261. Let n(s) = 3*s**3 + 11*s**2 + 22*s + 65. Let r(q) = 4*a(q) + 15*n(q). What is r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*k + k + 1, -2*a = -3*k + 3. Let t(c) = -c**2 + 7*c. Let w be t(6). Let p(j) = -w*j - 1 + 3*j + j - 2*j. Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18281, -1\/4, -3, -8, 4.\nAnswer: -8, -3, -1\/4, 4, 18281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 - 15519891.31.\nAnswer: -15519717.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 5*t, -t + 3*k + 7 = -2*t. Suppose 3*v = 4*v - t, 0 = 2*o - 5*v. Find the third derivative of -f**2 - 2*f**5 - 4*f**2 - 3*f**o - 5*f**2 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 - (-1 - -4))*2. Suppose -6 - 2 = -y - u, -4*u - k = -5*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxyyxloyxooyxl. Give prob of sequence oy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 137. Let a be (q - 4 - 0)\/1. Solve -c - 2*u - u = 0, a = -5*u + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (12 + 1 + -21 - -13).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-228)\/18)\/((-8)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 72*s**2 + 3*s - 72 = 0. Calculate s.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 84. Let j(t) = 8*t. What is the remainder when x is divided by j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48 (b) -3 (c) 4\/7 (d) 0 (e) 8 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277 - 660. Let j = 384 + h. Let d = -1 - -0.7. Which is the closest to j? (a) 2\/3 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23922 and 51030?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 116.0907 hours?\nAnswer: 4.8371125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:04 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 - 6*j - 3. Give c(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 320 = -2*b, -3*b = -4*f + b - 332. Let q be (-1 + -71)*(-14)\/(-6). Let x = f - q. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 10. Let o(v) = 1. Let m(a) = g(a) + 4*o(a). Let y be m(12). Suppose -3*z + 0*z + 4*c = -168, 0 = -y*z + 4*c + 108. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113046 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**4 - 26*r**2 + 32*r**2 + 4*r**6 + 4*r**4 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**3\/6 - 5*o**2 + 11*o. Let i(p) = p - 10. Let j(z) = -2*i(z) + 3*w(z). What is j(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.827275 millimeters?\nAnswer: 6827.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*u - 47*u + 4176 = -79*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21793596.\nAnswer: 2, 3, 11, 165103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n = 93*n - 2652432. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.4714383 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70568759 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -224163 - 900237. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3584481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19 - 116*r**3 - 4*r**2 - 13 + 3*r**2 - 2*r**2 wrt r.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38903037 and -108?\nAnswer: 38903145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*b + 194 = 0, -3*b - 128 = -2*p + b. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 43 - 43 - 20*l**3.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11047*p**2 + 3*p.\nAnswer: -p*(11047*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -46*z**3\/3 - 83*z**2 - 99*z. What is the first derivative of n(c) wrt c?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -3\/4, -16, 1, -6\/7, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31236 not equal to -124949\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3360*b**2 - 553399 + 553399)*(-b - 3*b + 2*b).\nAnswer: -6720*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 + 1\/4*b**4 + 0*b + 1\/4*b**5 + 0 + 0*b**3.\nAnswer: b**4*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*z**2 - 122*z**2 + 206*z**2 - 38*z**2 + 493*z**2.\nAnswer: 756*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*q, 39*d = 38*d + 3*q + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k**7)\/(k**(3\/10)*k*k*k\/((k*k**(-6\/7))\/k)) assuming k is positive.\nAnswer: k**(-2203\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(2 + sqrt(637)).\nAnswer: 12 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-64)\/(-12) + -4)\/(2\/(-9)). Let a be (-16680020)\/30 - 4\/y. Round a to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 49*h = 3*d - 2009, -3*d = 6*h - 2079. What is the remainder when d is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0 + 4. Suppose c = -a, -11*c + 6*c = -v*a. Suppose 4*r - 447 = 3*u, -r + 4*u + 128 = -c*u. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -3, 0.3, -4\/49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 - 17*p**2 + 17*p + 5. Suppose 7 = 3*l - 2. Let v(b) = -b**3 + 1. Let x(w) = l*v(w) + d(w). What is the lowest common multiple of 10 and x(16)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 40 = -27*h. Let y(r) = 10*r + 2 + r - h*r - 4. Determine y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 - -126.5. What is the closest to -0.1 in a, 1.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 30*j = -1298 + 416 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*i - 3*m - 6 = -107*i, -4*i - m + 18 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 + s**5\/30 + s**4\/8 + 2*s**3\/3 + 9*s**2. Let o be c(3). Solve o*u + 0*z = -z + 2, -3*z = -3*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 11*k = 27. Calculate the highest common divisor of 54 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose -9 = t*k - 5*k. Differentiate 2*p + k*p - 3*p + 1 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 63*i - 58*i + 349 - 293, -i = -4*v - 67 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9809*z - 3111. What is the units digit of r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81713401814 less than 0.0049?\nAnswer: -81713401813.9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 16 + 16)*(5*c + 24 - 24) + 3*c**3 - 3*c**3 + c**3.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 36291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 10 = -3*u, 0 = 3*d - 29*u - 10 - 30 - 60 - 9 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 2 - 387*l**2.\nAnswer: -387*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.4, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 4, 5, 3, -203 in increasing order.\nAnswer: -203, 3, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {n: 6, e: 4, j: 3, v: 1, d: 2, z: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - p)*(2*p + p - p)*(-34 + 44 - 218)*(2 - 2 - 2)*(3 - 3 - 4) to w*p + d + j*p**2 and give j.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/42)\/(4484\/(-8968))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2)*2)*-1 + -5 - (((1*sqrt(1100))**2 - 6*sqrt(99)) + 5).\nAnswer: -1110 + 35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -36.2. Let m = 2.3 + o. Sort 4, m, 0.2.\nAnswer: 0.2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)**1*(g\/g**(2\/17))\/g*g\/(g*g\/(g\/(g\/(g*(g*g**(-10))\/g)))*g) assuming g is positive.\nAnswer: g**(-206\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -7 - 6) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -6313\nAnswer: 15\/6313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 5*f = 4 - 11, -16 = -3*h - 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 1273*i**2\/2 - 25670*i + 112832.\nAnswer: (i - 1312)*(i - 4)*(i + 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16951*h. Let s(p) = -12*p**2. What is q(s(x))?\nAnswer: -203412*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x + 5 - 5 to s*x + j and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 + -432 - (168 - (-3 - -1)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -23. Suppose 5*a + 2*q - 315 = 0, q + 7 = d. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -149788532 and 14?\nAnswer: 149788546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -34 + 0 - -3. What is the remainder when 36 is divided by 9\/1 - (f + 31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 3, y: 3, i: 3}. Give prob of sequence yibb.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223605 = -3*d - 3*f, -2*d - 26*f = -28*f - 149102. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -45*h + 28*h + 4 + 0. Let u(c) = 4*c - 1. Let q = 10 + -6. Suppose -q*o - o = -30. What is o*d(g) + 26*u(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w - 9. Let s = 11 - w. What is the second derivative of 0*p**3 + 3*p**3 - p**3 + s*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 4*q**3 + 1 - 2*q**4 + 15 - 13 to the form u*q**2 + w*q**3 + y*q + g + a*q**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8287*c + 8283*c = -39*q - 8 + 52, 3*q - 4*c - 44 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7603*w + 2559 + 15214*w - 7610*w in the form v*w + m and give m.\nAnswer: 2559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/6 + 7*m**5\/2 + 55*m**4\/3 + 100*m**3\/3 + 1304*m. Suppose p(y) = 0. Calculate y.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 11324 (b) -1\/3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b + 134. What is the least common multiple of 6 and a(9)?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*k + 11*k - 2 + 27*k + 4 to x*k + t and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 121*h - 369. Give a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**4 - 1584282*u**3 + 3564574*u**2 + 3960666*u - 1188198 = 0 for u.\nAnswer: -1, 1\/4, 3, 198033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/(-77) - 375\/35) + 16. Let h be (-10)\/(-14) - 4\/(-14). What is the highest common divisor of t and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593293 is divided by 296643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -q + 2*q. Find the common denominator of (-3)\/(-9)*654\/q and -25\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43565*k**2 - 20867*k wrt k?\nAnswer: 87130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1*(-1)\/(-2). Suppose 3*o = -o + 4*w + 36, 0 = 2*w - 8. What is the remainder when (36\/(-15))\/(x\/10) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:32 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 4. What is the lowest common multiple of 12 and v(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4, 0.1, -9.09, -2, -14\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 67 = 5*w - 3*b, 0 = -2*w - 5*b + 40. Let r = w + -12. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in -4, -0.5, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*n - 356*n + 38*n)*(-16 - 5 + 12)*(0 - 2 + 3) as p*n + g and give p.\nAnswer: 3078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q = 36*q + 126. Let d(z) = z + 2. Let s be d(4). What is the highest common factor of s and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15331957286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300)*1 + -2 + sqrt(1300))) + -3 + 1*sqrt(1300))**2.\nAnswer: -40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 - 5.3. Let o = j - -3. Which is the closest to 0.1? (a) o (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*-3*(5 - 5). Let u(w) be the third derivative of 0 + 2*w**2 - 1\/60*w**4 + 1\/60*w**5 + 0*w**3 - 1\/150*w**6 + p*w + 1\/1050*w**7. Factor u(l).\nAnswer: l*(l - 2)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1092.27 (b) 2 (c) -3 (d) -4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j - 17. Let w be v(-7). Let z = -120 + w. Calculate the least common multiple of z and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from esekk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31404913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -23*h**2 - 752*h - 21. Let y(w) = 3*w**2 + 3*w + 3. What is o(t) + 7*y(t)?\nAnswer: -2*t**2 - 731*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 272*j\/7 - 1310\/7.\nAnswer: -2*(j - 131)*(j - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 20. Let i(g) = 2*g + 10. Determine -5*i(l) - 3*x(l).\nAnswer: -l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1630)\/150 - -9.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34841652 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2, 0, 182, 30?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 258, 362, 466, 570, 674?\n\"Answer: 104*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**3 + 0*c**3 - 2*c**3)*(-393*c - 392*c - 1 + 780*c) to i*c**4 + g*c**2 + a*c**3 + l + y*c and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(700)*4)**2 - ((sqrt(175)\/sqrt(5))\/sqrt(5))**2) + -3.\nAnswer: -11210 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/13)\/(d*d**(8\/9)*d*d)*(d\/d**0)\/d*d**(3\/5) assuming d is positive.\nAnswer: d**(-2014\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 170 and 0.6.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/30)\/(1\/3) - -13. Suppose z = 3*z - 10. Suppose 0 = -z*k + 2*q + 30, 0 = 5*k - 2*q + 3*q - y. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(-7*(-125)\/(-2100)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*h = -40, -3*h + 5 = -b - 5*h. Suppose -3*z - v = 14, -b*v + 12 = z - 8*v. Let x be -1*(-8)\/12*z\/(-2). Do x and 1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1920 and 1894980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2852360*y + 8592237.\nAnswer: 2852360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/(h**0*h))))\/h)\/(h\/h**6))**(-30\/7)\/((h\/(h\/((h**3*h)\/h))*h)\/(h\/((h\/h**2)\/h*h)))**(2\/13) assuming h is positive.\nAnswer: h**(-1588\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 - 4. Let b be t(3). Let u be 4\/b*(-7)\/(-1). Put u, -3, 5 in decreasing order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 - 9*f. Let m(u) = u. Let s(w) = 21*m(w) + 3*r(w). What is j in s(j) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147043 is divided by 7410.\nAnswer: 6253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336c6a (base 14) to base 11.\nAnswer: -a94025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5496, -10881, -16264, -21645, -27024, -32401?\nAnswer: -37776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 94 = -2*s, 143 = -0*s + 3*s + 4*b. Suppose s = 3*g - 15. Suppose -r = -g - 18. Calculate the highest common divisor of 114 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1\/9)\/(((-40725)\/(-181))\/45).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 - 3375*l**4 + 22*l**2 - l + 18 wrt l?\nAnswer: -120*l**3 - 81000*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1972 + -1942. Let u(f) = -f + 7. Let t be u(7). Let o = g + t. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (495\/440)\/(1\/(-8)) + 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -288 + 328. Let x be 58\/(-3 + (-98)\/(-34)). Let p = -295 - x. What is the remainder when p is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138605 and 4275?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 12 (c) 1786 (d) 51 (e) 0.2 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n**2 + 4. Let s = -42 + 43. Let d be 21 + s + (-2 - -5). Let t(r) = 55*r**2 - 25. Give d*p(i) + 4*t(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-2\/3)\/(h**(-2\/15)*h**(-4\/3)\/h))\/((h**0*h)**(-24)*h**(2\/5)*h**(2\/15)*h) assuming h is positive.\nAnswer: h**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2\/2 + 742707*v\/2 - 183871229283\/8 = 0.\nAnswer: 247569\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (128\/12)\/((-2)\/(-6)). Suppose z = 3*c - 46. What is the remainder when c is divided by 5*2 - 1 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5899919 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70195.1km to centimeters.\nAnswer: 7019510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1915868 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2769632 and 1731020.\nAnswer: 13848160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in -0.05, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 6*k + 7. What is q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**6\/y*y)\/y)*y**(2\/5))\/(y**(1\/3))**(1\/30) assuming y is positive.\nAnswer: y**(-65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 + -65. Let b = -3 + 15. What are the prime factors of y*((-4)\/b)\/((-4)\/6)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159122 + -4?\nAnswer: 159118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Let m be -1*(-3 - (-3 - -2)). Differentiate o - 2 - m - g with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 224973, 224959, 224945?\n\"Answer: -14*q + 224987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*c**3 - 461*c**3 + 215*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19809\/200291*(-13)\/(-3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14598542597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) -2\/13 (c) -24 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5443 and 106.\nAnswer: 576958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.23 + -0.77. Let h = -18.16 + u. Let o = h - -0.96. What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4*x + 2*w**4 + 173856*w**3*x - 5*w**3 - 56*w**2*x + 37053*x wrt w?\nAnswer: 48*w*x + 48*w + 1043136*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 75.4?\nAnswer: -82.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4086*z**3 - 960*z**3 + 1437*z**3.\nAnswer: 4563*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -1574, -4?\nAnswer: -1574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 80*k - 367. Let z be d(44). Sort z, -1, 9 in descending order.\nAnswer: 9, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.332 + -4.2374. Let c = n + 3.9. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2244044056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151626 is divided by 2244?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 52.91531.\nAnswer: 3069.08798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 11573.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 3*x**2 + 2*x + 1. Suppose -4*r - 3 = 9. Give y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5105 or 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28127839*i**2 + 3*i + 813067566 wrt i?\nAnswer: 56255678*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14339936 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 3506*z**7\/21 - z**4\/4 + 365*z**3\/6 - 17*z - 8. Find the third derivative of d(y) wrt y.\nAnswer: 420720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77965211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*a = 0, -q + 0*q - 2*a = 0. Does 22 divide 12\/((-2)\/(-11) - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + 72. What is the least common multiple of c and 2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149029 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/3)*(-16)\/(-104)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/60 + v**4\/12 + 2*v**3\/3 + v. Let k(z) be the second derivative of q(z). Let a(c) = 9*c - 9. What is 6*a(w) + 26*k(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/(z**34\/z)))\/z*z*z**(3\/16))\/(z**(-36)*((z**(-4\/19)\/z)\/z*z*z)\/z*z) assuming z is positive.\nAnswer: z**(21401\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 92, 8, 8\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {e: 2, t: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2412*a - 754944. Give o(-313).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let p(h) = -10*h - 9*h - 7*h + h. Calculate z(p(g)).\nAnswer: 625*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42125922, 42125921, 42125920, 42125919, 42125918, 42125917?\nAnswer: 42125916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 4*g - 174. Let s(w) = w**2 + 4. Determine -6*s(a) + v(a).\nAnswer: a**2 - 4*a - 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/260 + 1\/52. Let n = 16 + -15. What is the third smallest value in z, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -9943.\nAnswer: -9943.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 3. Let u be d(-3). Let i be u\/(-3 - (-20)\/5). Suppose 0 = -5*g - 2*o + 1489, -2*g + i*o = 2*o - 592. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214411 (base 6) in base 2?\nAnswer: 11011001001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 72738168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111220 (base 4) to base 6.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845181 (base 9) to base 5.\nAnswer: 112034220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19666950 divided by 5.\nAnswer: -3933390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 235*t - 4296. What is q(215)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2f79 (base 16) to base 4\nAnswer: -2331321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -113*q**4\/12 + 62*q**3\/3 + 116*q. Find the second derivative of o(b) wrt b.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/4)\/((-9)\/(-18)). Let k(g) = -g**2 - 3*g. Let m(a) = 6*a**2 + 16*a. Let d(r) = o*k(r) - 2*m(r). Find the second derivative of d(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjzjczzzjjjjzj. What is prob of picking 4 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*o. Let u be (o\/16)\/((-15)\/(-20)). Let g = -1\/132 - -277\/1716. What is the second biggest value in g, -0.3, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 - -15)*(-9)\/27. Which is the nearest to z? (a) 1.2 (b) 5 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + (-174)\/24)\/((-54)\/(-36)). Put -4, 0.511, 1, k, 0 in ascending order.\nAnswer: -4, 0, k, 0.511, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 8 = -514. Is -59 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 0. Let n = i - -1. Suppose -2*c = -3*k + 6*k - 13, c = -3*k + 14. Let s(m) = -m**2 - m - 1. Let q(d) = -d**3 + d + 1. Calculate c*s(b) + n*q(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + ((-21)\/9 - 2\/(-6)). Let r(l) = -22*l**x + 4 + 0*l**3 + l**3 + 21*l**2 - 2*l. Let a be r(2). Solve 0 = -t + a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovv. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 26*p**2 - 198*p - 77. Let x be m(8). Factor -224\/5*n**x - 16\/5 - 128\/5*n - 49\/5*n**4 - 312\/5*n**2.\nAnswer: -(n + 2)**2*(7*n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and -91\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 631 - 629. Let p(a) be the second derivative of 1\/70*a**5 + 0 - 8\/7*a**d + 4\/7*a**3 + 6*a - 1\/7*a**4. Determine t, given that p(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, p: 3}. What is prob of picking 1 i and 2 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (2*sqrt(55)*2)\/((sqrt(5)*-3 + sqrt(5))*-2))**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/60 - v**4\/3 - v**3\/2 - v**2 - v. Let i(p) be the first derivative of m(p). Let a be i(8). Is a equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061852 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4010f2 - 4?\nAnswer: 4010ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 7*c + 15669. Let s = c - 1034. 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(r) be the first derivative of -r**5\/150 - r**2 + 20*r + 71. Let p(d) be the second derivative of y(d). Factor p(s).\nAnswer: -2*s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cscuxjczuxuzjz. Give prob of picking 1 j and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*i**2 - 2789*i**2 + 938*i**2 + 946*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*t**3 + 2*t**3 + 41*t**2 + 2*t**3 - 38*t**2 - 2*t + 6*t as o*t**2 + c + p*t**3 + x*t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/(-14)*32\/6. Calculate the common denominator of 89\/18 and -2 + r\/(-13) - (-2516)\/2496.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5580800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c**2 - 556*c - 94. Let k be r(-23). Let j be ((2 - 2)\/2)\/1. Sort j, k, 5, -49 in decreasing order.\nAnswer: 5, j, k, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 35. Let c be ((-183)\/(-27) - 1) + m\/18. Find the third derivative of -12*y**2 - 11*y**c + 0*y**6 + 6*y**2 wrt y.\nAnswer: -1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 8769352.\nAnswer: 31\/4384676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 97*c**2 - 387*c + 77868. Give g(92).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 152.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8000 + -7999.9995169. Round p to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + 9 + 1400\/32. Let v = -65 + t. Which is the third biggest value? (a) v (b) 2\/13 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -516\nAnswer: 23\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.76 - -0.86. Let o = 4 + c. Let p = o + -0.2. What is the nearest to p in 0.3, -1, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 + 3. Let l be z(7). Let u be (-240)\/36*(-48)\/10. Solve -5*k + 0*d = l*d - u, d + 12 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgggggrggggrgg. Give prob of sequence rgrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j - 4. Let u be h(2). Let k(p) = 357*p + 12. What is the hundreds digit of k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1121?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:43 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53617073 and 961.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 11966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbfzfffbfffzffzfymw. What is prob of sequence fzyb?\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -83?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/421 in -0.3, 3, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 323253*p = -323252*p, 4*p = 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 9, o: 2}. Give prob of picking 1 g and 1 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - c + 147, -21*b = -16*b - 3*c - 205. Calculate the remainder when 1289 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3692 and 117390.307.\nAnswer: 113698.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.12 (b) -49 (c) -2 (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + -5 - (-1 + (-11 - -3))) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tftbttnhhnttobbbbb. What is prob of sequence bfno?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2258066913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 1\/12 (b) -3\/4 (c) 278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99a3 + -2?\nAnswer: -99a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255 - 2*m**3 - 4*m**3 - 278 + 0*m**3 to the form o*m**2 + b*m + h + c*m**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 + 5*a**3 - 5*a**3)*(246*a - 33*a - 20*a) in the form w*a**3 + r*a**4 + c*a + l + h*a**2 and give r.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 58. Suppose k*q + b = 7, -3*q - 4*b + 5 - 2 = 0. Solve q*z = 10*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 469, 471, 473, 475, 477, 479?\n\"Answer: 2*x + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280698 or -280700?\nAnswer: -280698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(94843\/2635 - 36).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 2*y + 4, 0 = -4*w - 4*y + 4. Solve 5*r - 19 = -v - w, 5*v + 15 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:31 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851452429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -31443.7578 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2012, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-7))\/(49\/(4116\/24)). Let i(o) = 2*o**2 - 3*o. Let x be i(3). Calculate the highest common factor of q and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -29\/42076781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*o - 25 = -3*o, -3*o = -3*k + 12. Suppose -5*w + 3*z + 20 = -0*z, w = -k*z - 24. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12391 and -43645?\nAnswer: -5408.05195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 6*v - 5. Let i(c) = -c**2 - c - 1. Let w(k) = 4*i(k) + o(k). Let r be w(-9). Find the first derivative of -z**3 + 4*z**3 - 1 + r*z**3 wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from nufgn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11.32 times -2.15\nAnswer: -24.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 34*b - 2. Let x be s(2). Suppose 77 = 12*q + 401. Let r = q + x. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuuufuufjuojjjuuuu. What is prob of picking 3 u?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, 8, -1\/2, -322, 3\/2, -1\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.3. Let c be 1\/(-2)*(-5)\/5. What is the nearest to -1 in 2\/7, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89 + 10*b - 12*b - 42*b**4 + 23 + 3 + 163*b**4 wrt b.\nAnswer: 1452*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 0, -6\/7, 13\/210, 2\/5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.119 and 5895987?\nAnswer: -701622.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -44*x - 1. Let d(l) = -702*l**2 + 1549*l + 8. Let h(g) = d(g) + 9*z(g). What is the second derivative of h(v) wrt v?\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 55732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.794154 days to seconds.\nAnswer: 155014.9056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -482105 + -4?\nAnswer: -482109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c - 8 = 0, -g + 36 = g + 5*c. Suppose g*x - 19 = 29. Let p(q) = -q**2 + 6*q + 26. Calculate the remainder when p(x) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*(d\/d**(-10))\/d)\/d*d))\/(d*d**(-5\/2)\/d)*((d\/d**(-12\/7))\/d)\/d**(-16))**(-1\/5) assuming d is positive.\nAnswer: d**(-143\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25226.\nAnswer: 2, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/5 (b) -31\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1168, 52.\nAnswer: -1168, -5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2055 + 13?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11293 and -3.\nAnswer: 33879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1060 + -219. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-1*2\/16. Let x = 5034.55 - 5039.55. What is the smallest value in 2\/79, x, w, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989220507.\nAnswer: 3, 11, 3413, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 - t - 4. Give s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 15*f**3 + f**2\/2 + f - 4. Let q be b(-1). Differentiate -q*s**3 + 2 + 48*s**3 + 8 wrt s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16107596*j**3*u**3 + 12163*j**3*u**2 - 31*j**3 + 2*j*u**2 - u**2 wrt u?\nAnswer: -96645576*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/141 and -23\/246.\nAnswer: 11562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 91*q**2 + 687*q - 2. Calculate j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -113432032214?\nAnswer: -113432032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000 (base 2) in base 10?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-10 - -4 - -4). What is the greatest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32798*d**4\/3 + 23000*d**3 - 13218*d**2 + 3500*d\/3 - 16 = 0. What is d?\nAnswer: 12\/713, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u - 3. Let h(a) = 346*a**2. What is i(h(z))?\nAnswer: 12456*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 2257?\nAnswer: 13542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 70*a**2 + 1 - 69*a**2 - 4*a + 0 - 6. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 56. Let i = 203 + -128. Calculate the remainder when i is divided by u(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1318995 minus -3?\nAnswer: 3.1318995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1.1, 2\/451, -0.5, 2\/17, -1?\nAnswer: 2\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*y - 13 = y, 3*j + 5*y = 1. Suppose j*c - 28 = 16. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 3 (b) -0.4 (c) 11184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3558 divided by 6.\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20*m**3 + 2*m**2 + 3. Let f be s(5). Let v = f - 1817. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*i + 31. Suppose 16 = -3*h + 5*r, 4*r - 5 = i*h - 0. Suppose -4*x - 1 = h*u, -6*x + 2*x = 4*u. Is u < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3596, -3499, -3352, -3161, -2932, -2671, -2384, -2077?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 66878*k**3*s**3 + 24*k**2 - 766*s**3 wrt k?\nAnswer: 24*k + 401268*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 45966\/3423 + 6\/(-14)*1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - j**3 - 10*j**2 - 15*j - 7*j - 14*j + 31*j + 5*j.\nAnswer: -2*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (647*q + 155*q + 200*q)*(0*q**2 + 2 + 2*q**2 + 0*q**2).\nAnswer: 2004*q**3 + 2004*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11344)\/8508*2\/(16\/246).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21832, 21800, 21762, 21718, 21668?\nAnswer: 21612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1788 (base 9) to base 8.\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**2 + 31*g - 12. Let h(n) = 2*n**2 + 7. Let l(b) = 6*h(b) + v(b). Factor l(r).\nAnswer: (r + 1)*(r + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*(-2)\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 15. Let f be l(-9). Let p(o) = -3*o**2 - 19*o + 2. Let i be p(f). Solve 7 + 1 = i*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99785832.\nAnswer: 2, 3, 367, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*r = -103, 4*z - 2*r - 117 - 49 = 0. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, i: 3}. What is prob of sequence ppp?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1160441 millennia to centuries.\nAnswer: 1.160441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*v + 9340 + 76916. List the prime factors of v.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104*z**3 - 524*z**3 - 598*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 156, 409, 942, 1929, 3544?\n\"Answer: 29*g**3 - 34*g**2 + 152*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493394491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 4. Let p(v) = -3*v - 16. Suppose -1177 = 4*j - 1149. Let w be p(j). What is h(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*m + 14, -5*x + 6 + 9 = 2*m. Solve 0 = 2*d - 3*f - 21, 2*f + m = f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 40. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 40 = 5*c. Let m be 4 - (-567)\/6 - 2\/4. What is the greatest common factor of c and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.1, -0.4, 35, 2\/3 in descending order.\nAnswer: 35, 2\/3, 0.1, -0.4, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3512 - -5050. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131.8563137732 + 3\nAnswer: 134.8563137732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -23729531?\nAnswer: 23729531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10201?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let q(y) be the third derivative of -y**5\/60 + y**4\/3 - y**3\/6 + 7*y**2. Let t be q(7). Solve -4*v = -n + t, -1 = z*v - n + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22253 or 155769\/7?\nAnswer: 22253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 96278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281604.\nAnswer: 2, 3, 19, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9832, 9840, 9856, 9880, 9912?\n\"Answer: 4*g**2 - 4*g + 9832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3321936+0.5744648\nAnswer: 0.9066584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(13) + -3) - sqrt(13)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 136*l - 5 - 3 - 9.\nAnswer: 136*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -260, -393, -526, -659?\n\"Answer: -133*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -13 (c) -3\/11 (d) 2\/5 (e) 6 (f) -5\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6674900 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + -7 - (1 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/6)\/2)\/((-12)\/324*-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2361*h**2 + 1637*h**2 + 1302*h**2.\nAnswer: 578*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-2 - 45\/10). Suppose 0 = -p*l + 18*l - 95. Solve -a = -5*r + r - l, 0 = 2*r - 5*a + 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1. Let s(x) = 7*x**3 - 63. What is -126*a(f) - 2*s(f)?\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.04 to zero decimal places.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 0*b + 14*o - 12 = 19*o, b + 307 - 303 = 3*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 490\nAnswer: -29\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -2.6. Let v = 5.86 + 0.14. Let m = v + -2. Which is the smallest value? (a) m (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -37*r - 305. What is j(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102999 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (53 - 52) + -1 + -28.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462157 divided by 1103.\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/31 and 29\/168.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 5. Let l = 7.076 - p. Let b = l + -0.0760067. Round b to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 21*s**5 - 933*s**4 + 3744*s**3 - 912*s**2 - 1920*s = 0?\nAnswer: -4\/7, 0, 1, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162992 is divided by 1162987.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -21. Suppose -5*z + 7 = -o, 3*o - l*z + 8*z - 19 = 0. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12421.389 + -12422.0890029. Let l = 0.7 + j. What is l rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3))\/sqrt(9) - (sqrt(242)*1)**2.\nAnswer: -242 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/980*4)\/(4\/42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -292331644 divided by -6643901\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1817 and 82202660.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -25*b**3\/6 + 20*b - 2. Let l(o) = -13*o. What is -6*i(v) + 11*l(v)?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*m**3 - 89*m**3 - 89*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -2, -20, -56, -116, -206, -332, -500?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3 + 3)*(1 + 3 - 3)*((1 - 1 - 1)*(i + 2*i - 2*i) + i + 4*i - 7*i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341814 = 46*i - 61836. What are the prime factors of i?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/4, -748, 0.03?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429 + -427. Which is the third biggest value? (a) m (b) 2\/11 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.80648 tonnes to nanograms.\nAnswer: 26806480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342391 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.54 - 1.489. Let b = 0.049 + o. What is the nearest to 4 in 1\/7, -5\/3, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2115*s**4 - 3736*s**3 - 49*s - 26846?\nAnswer: -25380*s**2 - 22416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 51.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = 2*d - 21*s + 18, -d = -s - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 55 = 2*d + 142, d = 3*v + 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 167. Suppose -m = -5*v - 30, -4*m = -5*m - 4*v + j. Suppose 3*z - m = z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -563, 0, -21, -5 in descending order.\nAnswer: 0, -5, -21, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - (-2)\/6. Let p = 539\/4726 + 1\/278. What is the nearest to -0.2 in p, c, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + (sqrt(330) + 4*-1*sqrt(330) - sqrt(330)))\/(sqrt(90)*2))\/(-3*sqrt(176) - (sqrt(396) - (sqrt(396) + -2*sqrt(396)))).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -712*l - 820. List the prime factors of w(-7).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 4558221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 2}. Give prob of picking 1 s and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69.022 - 69. Let q = 5.022 - p. Let y be 4\/18 - (-29)\/(-9). What is the second smallest value in y, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.26255, -0.2, 0, 3 in decreasing order.\nAnswer: 3, 1, 0, -0.2, -0.26255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/6)*a**(2\/13))\/(a*a**(-1)*a)**(1\/12))**(-2\/3) assuming a is positive.\nAnswer: a**(-37\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, -1, 19388?\nAnswer: 19388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94 and 3273.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7026 - -7024. Suppose -f = -0 + 1. Let x(s) = -3*s**2 + 2*s - 2. Let g(o) = -o - 3 + 6 - 2. Give f*x(u) + j*g(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 25*f + 42. Suppose -2*n = f, 6*n + 11 = 4*w + 11*n. Suppose -3\/7*c**3 + 0 + 3\/7*c - 3\/7*c**2 + 3\/7*c**w = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160929*n**2*s**3 - 195*n**2*s**2 - 5*n**2*s - 2*n*s**3 + 2*s**3 - 549*s**2 wrt s.\nAnswer: 965574*n**2 - 12*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-12)\/5*1. Let q = 21543 - 21501. What is the second biggest value in q, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 122571, 122582, 122607, 122646, 122699, 122766?\n\"Answer: 7*s**2 - 10*s + 122574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, c: 7, v: 1}. What is prob of sequence cvs?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**3 - 91*a + 43*a + 49*a - 4*a**4 - 3*a**3 to v*a**4 + n + m*a**3 + b*a + w*a**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6904, 13803, 20700, 27595, 34488, 41379?\n\"Answer: -r**2 + 6902*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {v: 3, r: 13, w: 3}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let w(g) = -2*g**2 - 4*g**2 + 29*g**2 + 3*g**2. Calculate i(w(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 23522?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3*n**5\/5 + 3*n**4\/4 - 3*n**3 - 3*n**2\/2 + 6*n + 1. Factor i(a).\nAnswer: 3*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, h: 4, a: 1, s: 4}. What is prob of picking 1 t and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96271655.\nAnswer: 5, 19254331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (5*(sqrt(2736) - (0 + sqrt(2736))) - sqrt(2736)) + sqrt(2736) + (sqrt(2736) - (-1*sqrt(2736))**2)*-4 + 5.\nAnswer: -48*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - x - 1. Let b be p(-1). Suppose 4*d = -d + 4*c - 19, -b*d - 3*c = 6. Let v(w) = 6*w - 47. Let q be v(7). Is d <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(5 - 2*p**2 - 5)*(83 - 7192*p - 7180*p + 14428*p) to c*p**2 + q + s*p**3 + h*p and give c.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = 66*z - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12320313 + 120?\nAnswer: 12321033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1 - (-1)\/1). Suppose -3*a + a + 18 = u. Let k = 2 + 13. Calculate the remainder when k is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15\/12 + (-2)\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(8 - (384\/512 + 37\/4))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.13 rounded to one dp?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o - 50. Let w be 104\/o + (-4)\/(-10). Let i = 18 + w. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104245, -1104247, -1104249, -1104251, -1104253, -1104255?\nAnswer: -1104257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10111 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1) - ((-91)\/(-14) - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11140562, 22281137, 33421710, 44562281, 55702850, 66843417, 77983982?\nAnswer: 89124545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/12*(-12)\/3. Let f = -5 + 10. Sort j, f, 2 in increasing order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. What are the prime factors of (-5 + r)*(-10)\/7?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c + 1. Let q be f(-4). Is 6\/7 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x*x**2\/x)\/x))\/x)**(-1\/20))**(-15\/7)\/(x**12\/(x\/x**(-5\/3)))**36 assuming x is positive.\nAnswer: x**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5726 + o + 79*o**3 + 5726 to the form d*o**2 + n*o**3 + q*o + l and give n.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 275.6*-11359\nAnswer: -3130540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 50*c = -4180. Suppose f - 2*v = 211, -4*f + 9*v - 5*v + c = 0. Let z be 23 + (1 - 2\/2). Calculate the greatest common factor of z and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1026.4878ns?\nAnswer: 0.00000001710813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64705 by -66.\nAnswer: 64705\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/6)*v**7)**(-4) assuming v is positive.\nAnswer: v**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.08720021.\nAnswer: 0.43600105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 - o + 3. Let k be h(3). Let f = 0.04 + -0.1. Let j = 0.16 + f. Sort j, k, -0.2 in decreasing order.\nAnswer: j, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -57.8, 2\/7, 5, 103660, 2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*o**2*p**2 + 63*n**3*o*p**3 + 4*n**3*o*p**2 - 2*n*o**3*p**2 - 3*n*o**3 - o**3*p**3 wrt p?\nAnswer: 378*n**3*o - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = m. Let a be 0\/16 + 2*m. Suppose 0 = 5*w - 1 - 24. Solve -2*l - l - 7 = 4*h, a*l + h = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17951 is divided by 4477?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91) + (sqrt(91) - -4*sqrt(91)*-1))\/sqrt(7).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8475549\/433 - -19574. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 27 + 44*c + 20*c**2 - 4\/3*c**3. Factor u(q).\nAnswer: -4*(q - 11)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*a = 2*b - 270, -20 = 5*a. Let q(r) = -r**2 + 6*r. Let s be q(5). What is the third derivative of 8*n**5 - b + 50 - s*n**2 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111 - -101001000110010?\nAnswer: 101000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 156*c**2 + c. Let h be r(-1). Let x = h - 138. What is the remainder when x is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1433? (a) -2\/13 (b) 0.5 (c) -3 (d) -0.013 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 - 134. Let m = -180 - -92. Let b = l + m. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**2 - 5*h + 3. Suppose -5*d = -4*d - 5. Let b = d - 9. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512418 divided by -39?\nAnswer: -90062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 1*sqrt(175))**2.\nAnswer: 70*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -563. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 14)*3\/2. Suppose 0 = -l*w + 9, -5*p + 3*w = -w - 3188. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/5*1\/(-5). Put 1\/4, u, -0.3 in descending order.\nAnswer: u, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 4, r: 1, v: 1, x: 4, p: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 times -4?\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dccdcdccddddd?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*x + 5*a, -2*x = x - 5*a + 30. Let y be (-1)\/x + (-8)\/40. Is y < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3896933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-6))\/(7717\/23151).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/3)\/((-2)\/(-6)). Which is greater: 11 or f?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v*v**28*(v**(-24))**(18\/13))**(2\/27) assuming v is positive.\nAnswer: v**(-106\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9487*f - 9482*f + 18*w - 224 = 0, -4*f + 70 = 6*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3460*m + 29 - 4 - 13.\nAnswer: -3460*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/146927 and 50\/177859?\nAnswer: 3379321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/14 + (0 + 4 - -1). What is the nearest to 1.4 in 3, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2422, -2436, -2458, -2488, -2526, -2572?\n\"Answer: -4*z**2 - 2*z - 2416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 656, 237, -462, -1441, -2700?\n\"Answer: -140*d**2 + d + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151552422 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 34. Solve -m + 15 = -4*o, 0 = -j*m - o - 2 - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3 - 336*m**2 + 7908*m + 8240 = 0.\nAnswer: -103, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55422)\/(-603484))\/(3\/28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*p + 7*p. Let l be 4\/((-11397)\/(-3801) + p). Round l to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/5 - 16*z**2 + 80*z - 98. Differentiate b(g) with respect to g.\nAnswer: -4*g**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let c be 3\/(z - 2)*5. Let o(j) = -4*j**3 - 2*j**2 + 2*j. Let g = 15025 + -15022. Let i(w) = -2*w**3 - w**2 + w. Determine c*i(n) + g*o(n).\nAnswer: -2*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/59796 and -1.\nAnswer: 59796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*j = -4*o - 4, 0 = 3*o - j - 5. Solve 5*b = o + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590813641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*9\/12*24\/(-27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let c = -4 - d. Let f = -174.8 - -175. What is the smallest value in f, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/3 - 10\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066758564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/(2 + (-25)\/12). Suppose -6 - 3 = -3*s. Suppose 0 = s*p + 15, h*o - 76 + 29 = -5*p. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -69*h**2 + 1. Let y(b) = 4*b**2 - 56. Let x(i) = -i**2 + 12. Let q(o) = -14*x(o) - 3*y(o). Give d(q(k)).\nAnswer: -276*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20881.89 + -5\nAnswer: -20886.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28042317817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 4*z**2. Let c be j(4). Let m(i) be the second derivative of c*i**3 + 0*i**2 - i + 1\/75*i**6 + 0*i**5 + 0 + 0*i**4. Solve m(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1013092316 - 337950073. Let z = 675142301.0000046 - h. Let t = -58 + z. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232 or 173?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from oac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2501 + 2506. Let q be 1\/3*(-2)\/(-1). Which is the third smallest value? (a) q (b) 0.09 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5 + (6 - (-32350)\/(-32380))). Solve -t*l + 3246*l = 48 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 - 7*b - 17. Calculate l(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*x = 18, -13996*t - 5*x = -14033*t + 207 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - (16 - 12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22715954 is divided by 11357973.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 87 = 121. Which is greater: d or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/60 - g**5\/30 - g**4\/24 + g**3\/2 + g**2. What is the remainder when q(2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429*b + 325742 = 14327*b - 307304 + 223390 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 30*a**2 + a. Give k(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33733\/29 + 1163. Suppose 4 = 2*y - 2*j + 2, -y - 3*j = 3. Let t be ((-2)\/6*y)\/(-2)*-1. Is d less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3017066 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + 18*r + 17. Let x be v(-1). Suppose q + 3*q + 864 = 4*y, q = -x. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z**2 + 96*z**2 - 100*z - 47*z**2 + 100*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-87) - 5\/12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ab3 - 5419?\nAnswer: -1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 0.5, -674, -4\/1365?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.16. Let d = -0.4 + p. Let s = d + -8.86. Which is the third biggest value? (a) s (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*16\/24 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211181988.64 plus -0.1?\nAnswer: -211181988.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9066694 by 13.\nAnswer: 697438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134\/(-20)*6 + ((-13)\/(-15) - 220\/132)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 1. Let q(y) = -24*y - 2. Let p(r) = 3*h(r) - q(r). Let t(a) = 2*a. Give p(t(l)).\nAnswer: 12*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -18. Suppose j = -z*a + 55, 0 = j + 3*a - 0*a - 60. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -47. Suppose 3*h = h + u. What is the least common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + n = 61, s - 3*s - 35 = 5*n. Calculate the remainder when 0\/11 - (s - -2*1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*m + 309 = -0*m, -3*b = -5*m - 174. Let s(c) = c**3 - 5*c**2 + c. Let p be s(6). Calculate the greatest common factor of b and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.3 + 3.\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113\/522 - -1\/174. Let q = -8 + 7. Which is the nearest to 1? (a) -4 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1716 and ((-121)\/77)\/((-9)\/63) + 649?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/(-10))*4\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0899, -2011, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 132. Suppose 0 = 2*k - 8 - x. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**6 - l**5 - l**3 + 3*l**2. Let v(f) = 1430*f**6 + f**5 + 2*f**3 + 3773*f**2. Let c(m) = h(m) + v(m). Find the third derivative of c(d) wrt d.\nAnswer: 171480*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - -4. Suppose 61 - k = 4*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.542 + 1972160.\nAnswer: 1972149.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-13 + 4)*(-1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628833.\nAnswer: 3, 263, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -736\nAnswer: -35\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*l = -192, -3*c + 2*c = 5*l - 48. Suppose c*g = 33*g + 600. Calculate the least common multiple of 20 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + -113. What is the greatest common divisor of y and 1830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 336 + 271 + 65.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 2*s, -3*z - 5*s = z - 10. Suppose -6 = -z*a + 2*a. Sort 0.3, -0.2, a.\nAnswer: a, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + d + 4. Let z be a(0). Let r = -68 + 104. Calculate the greatest common divisor of r and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 175\/4544 in descending order.\nAnswer: 175\/4544, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbqbjbqjqj. Give prob of picking 1 h and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 257 - 284 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(432) + (sqrt(432) + -1*sqrt(432) - sqrt(432)) + sqrt(432))**2 + sqrt(432)*2*-3 - (3 + -4 + sqrt(432) + 3*(sqrt(432)*-4)**2).\nAnswer: -19439 - 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - t)*(-4*t**3 - 3*t + 2*t**3 - 1 + 4*t).\nAnswer: 2*t**4 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-398)\/5 + (2 - 108\/45). Let u be ((-8)\/6)\/2 - s\/12. Solve 10 = u*q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1)*(-13 - 0). Suppose -15 = -g + 3*p, -3*g - 5*p = -5*g + 26. Suppose -g*l + 0*d = 3*d - y, l - 4*d = 33. Round l to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b**3 - 7*b**2 + 3*b + 10. Let v be h(-3). Let s = v - 287. Calculate the lowest common multiple of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 30 (b) 0.1 (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*p - 4, 4*p = 3*g + 608. Let q = -77 - g. Let x be -1 + (-12)\/8*-12. Calculate the highest common factor of x and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqoyyyqqoqq. What is prob of sequence qqqo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 k when three letters picked without replacement from {l: 1, k: 9, c: 3, h: 5}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at most as big as -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512691 and 1216443.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*u = -2, 2*n - 14*u + 4 = -16*u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18713772 and 75\/16.\nAnswer: 74855088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/15050 and 26\/1075.\nAnswer: 15050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014702093 plus -0.3?\nAnswer: -0.285297907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 4*m. Suppose 4*z - 3*z = m. Is 2*2634\/36 + z\/(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6573 + 6573.1. What is the smallest value in -3, 1.3, b, 0, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 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: What is prob of sequence ikwk when four letters picked without replacement from wikiwikw?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 27. Suppose -j = 4*o + 38, 67 = -4*j - 11*o + 12*o. What is v(j)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 33866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from ouougggoggua.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14647575 and 4275.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -519 - -1128. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -853 - -853.46. Round u to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 463184468*q**2 - 42*q + 924519?\nAnswer: 926368936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*s = 523*s + 486*s + 334834. Which is greater: -3516\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4165 + 6590. Does 41 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421905 times -2.17?\nAnswer: 3085533.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 3, 4 in descending order.\nAnswer: 8, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l - 2*r + 18, -10 = -2*r. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103032 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**11*j\/(j*j**(-34)) assuming j is positive.\nAnswer: j**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 15*w + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/15)\/((7\/(-5))\/(-7)). Sort -1, 0, 2, a in descending order.\nAnswer: a, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = t - 3*j - 1, 5*j - 2 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h**2 + 107*h**2 - 36*h**2 - 35*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 393*b + 1164. Determine a(390).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(2\/3)*v)\/v)\/(v\/v**(-1\/5)) assuming v is positive.\nAnswer: v**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 68. Suppose 10*y - d = 6*y. Suppose y*n + 214 = 5*r, 5*r - 206 = -4*n - 0*n. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 102101?\nAnswer: 102031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18\/101 (b) -5 (c) 0 (d) -0.1 (e) 0.1 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -10. Put 3, z, 0 in descending order.\nAnswer: 3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4057024*p + 78202460 wrt p?\nAnswer: 4057024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 826429, 826410, 826391, 826372, 826353?\n\"Answer: -19*x + 826448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t. Let g(m) = 3*m. Calculate g(v(p)).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-3))\/((-5)\/(-15)))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**8\/16800 + o**7\/280 + o**6\/16 - 43*o**3 - 131. Let i(b) be the third derivative of g(b). Let i(c) = 0. What is c?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b + 5*u - 73, 4 = -4*u. Suppose 2*f - 3 = 5*i, -2*i = 4*f - b + 8. Let x(k) = -8*k**3 - k + 1. Give x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 2*r + r + (-6*r + 4*r + r)*(-3 + 0 + 5) - 2*r + 0 + 0.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {a: 2, t: 5, i: 1, r: 1, w: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + -62.\nAnswer: -63.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 3*k + k)*(0*k + 0*k - 2*k) + (3*k - 3*k + k)*(-2*k + 2*k + k) - 4*k**2 + 2*k**2 + 3*k**2 in the form m*k + l + o*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let y(q) = 5*q. Let o(w) = -6*w. Let v(h) = -6*h**3 - h**2. Let g be v(1). Let l(z) = g*y(z) - 6*o(z). What is l(c(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 8:47 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 29\/31, -2.59 in decreasing order.\nAnswer: 29\/31, -2.59, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15.9 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -20344433?\nAnswer: 20344443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.6 (c) 2\/7 (d) 7\/48 (e) -2\/3 (f) 0 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*u + 2*u - 4, 5 = -5*n + 5*u. Calculate the common denominator of 357\/10 + n\/5 and 6\/(-8) + (-386)\/120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 3013201320002?\nAnswer: 3013201313321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.3 - -24.9. Let g = -19\/36 + 5\/18. Let l = 11 - 16. Which is the closest to g? (a) -2 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*n + 43, 4 = n - w - 12. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 2 - m + 1\/3*m**3 + 2*m**2. Does 6 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -56*j + 52*j. Suppose 3*d = 3*n + 15, -d + 3*n - 4*n - 1 = 0. Suppose d*b = 6*b. Solve -2*z + b*z + j = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 19 - 9 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 9*a**2 + 18*a + 7. Let t be r(-6). What are the prime factors of -6 - -1*(t - -158)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 6 + 29 - c - 40*c.\nAnswer: -41*c + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/135520 and 66\/35.\nAnswer: 135520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 14 = -21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*p = -2*p + 40, h = 3*p + 17. Suppose 14 = -2*b - 4*k, -3*b + 0*b + 2*k + h = 0. Let i = -13 + 15. Put -4, i, b in descending order.\nAnswer: i, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 17*z + 22. Let l be f(-9). Let j = l - -98. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 30*x - 12. Let q be u(-31). Suppose 20*g = q*g + 173. What are the prime factors of g?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52377 is divided by 259.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13627 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 4220*w**4 - 213288*w**3 + 3397888*w**2 - 22139392*w + 51437568 = 0.\nAnswer: -1104, 7, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 + 126*a\/5 - 429.\nAnswer: 3*(a - 13)*(a + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(27*z**4 - 5*z**4 + 91*z**4).\nAnswer: -226*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33145377295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. What is the units digit of (24*k + 2)\/((-2)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2547600 and 27120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.24 and -0.1.\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272095?\nAnswer: 5, 11, 101, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -6331140\nAnswer: 37\/6331140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 - 219*k - 222 = 0. What is k?\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s + 2. Let u be z(2). Let d = u + 10. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 (base 15) in base 16?\nAnswer: 11f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -39.9. Let r = n + -2.4. Let d = 6 + -2. What is the third smallest value in -2, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 5*b + 2236, -4*i = -2*b - 2236. Let t = 214 + i. Suppose -2255 = -3*c - 5*q + 6*q, -c = 5*q - t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97411272*r**4 - 274071201*r wrt r.\nAnswer: -1168935264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcccggcggc. What is prob of sequence ccc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 6. Let u be l(6). Suppose 0 = -5*o + 8*o. Let s = u - o. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1485 and 24840.\nAnswer: 273240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 3*n**2 + n - 2. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 546*r**2 + 11891*r\/2.\nAnswer: r*(r - 1081)*(r - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -26 - 4. Find the second derivative of -30*u**5 + 14*u**w + 27*u**5 - 3*u wrt u.\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 126\/45 - (-2)\/10. Suppose -16 = -3*o + 2*n, -8*o + 6*o - i*n + 15 = 0. Solve -5*v = -l + 4, -v - l + o*l - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -67*i**6\/6 - 353*i**2\/2 - 3*i - 32. Differentiate m(b) wrt b.\nAnswer: -1340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32677 + -31050.1. What is g rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/3)\/c)\/(c*c\/c**(-24)))\/(c\/(c*c*c**(-12))*c**(1\/2)) assuming c is positive.\nAnswer: c**(-221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/5, -659\/2, -4, -22.\nAnswer: -659\/2, -22, -4, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3146947 and -2.\nAnswer: 6293894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 2*r - 2. Let y be t(-2). Suppose 2*f - 15 = -3*v, -4*f + 0*v + 15 = v. Suppose 0 = -y*c - f - 5. What is the biggest value in c, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4064 less than -10822?\nAnswer: -6758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 15*z + 26. Let s be l(-13). Suppose s = 12*t - 7*t - 15. Solve 8*d - 3*d + i - 27 = 0, -4*i + 23 = t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89939 + -3?\nAnswer: 89936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -599aa6 + -b?\nAnswer: -599ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*x = -32, -3*p + x - 13 = -37. Suppose -4*g + g + 3*i + 9 = 0, -5*g - 5*i + 65 = 0. Is p greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 48. Solve -4*t + 3*v - 1 = 0, x*t - 5*v = -4*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 285891*f - 1143567. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -52131671*t - 2. Let c(g) = -2*g. Give m(c(w)).\nAnswer: 104263342*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14*h + 46. Let x(v) = 13*v - 32. Let k(b) = -6*x(b) - 5*y(b). Calculate k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 - 1) + 7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 518*c**2 - 9728*c - 1452. Determine k(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apap when four letters picked without replacement from apphpapaaapheaha.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*1\/(-6)*1. Let u = 0.1702 + -0.6702. Let o(h) = h - 2. Let d be o(-3). Which is the third biggest value? (a) n (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - m**2 + m**2 + (4 - 1 - 4)*(3*m**2 + m**2 - 5*m**2) + 7*m**2 + 2457 - 4252 + 2682.\nAnswer: 10*m**2 + 887","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 0 - 2 + 13 - 3. Let v be i(8). Suppose v = 9*u - 4*u - 49000000. What is u rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*f - 3040*f**2 - 8*f**3 + 3040*f**2 - 151*f - 116*f - 156*f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 673. Let l(g) = -13*g + 2020. Calculate -2*l(r) - 7*n(r).\nAnswer: -16*r + 671","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18561 divided by -3?\nAnswer: -6187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7e + a82?\nAnswer: a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 20*q**2 - 44*q + 2. Let s(o) = 2*o - 2. Let g(n) = -k(n) - 5*s(n). What are the prime factors of g(-16)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - 2*f)*(f - 4*f + 4*f) + 14*f**2 + 22*f**2 - 12*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 + 23*c + 157 in the form q*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -10. Suppose -2*v = -0*v - u. Let b(l) = -2*l**2 + v*l**2 - l + l. Let t(x) = -5*x**2. Determine b(t(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.07, -141, 0.0123, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0 + 0 + 2*b**2 + 3 + 2*b. Let o(l) = l**2 - 9*l + 8. Let c be o(8). Suppose a - 6*a - 10 = c. Determine s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 48*j**2 + 65*j - 377. Give g(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r - 4. Solve 2*h + 2*h + 26 = -r*n, 0 = 4*h + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -76. Calculate the remainder when a is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*y - 84*y + 522*y - 99*y.\nAnswer: 2276*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (870 - 891) + (25 - 3) - (0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2338 times 0.2\nAnswer: 467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*n**(-1))\/n*n))**(-2\/49)\/(n\/(n*n**(-1\/2)))**(-42) assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 169*x**7\/525 - 13*x**6\/100 - 7*x**5\/10 - 5*x**4\/12 + 66*x**2. Factor y(a).\nAnswer: 2*a*(a - 1)*(13*a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 + 9*z**2 + 4*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 20 = 290. Let o be 4\/l + 3783\/351. Solve a + 3 = 0, -o = -4*p + 3*a + 2*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*5\/(-6)*1*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532967352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.14, 105, 3\/8, 1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11320012 = 4*m - 3*d, -5*m + 2*d = 7*d - 14149980. Let v be 1 + (1 - 2 - m). What is v rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 5*z + 9, 4*z - 11 = -3*o. Suppose 7 - o = 2*r. Solve l - 5*p + 4*p + 3 = 0, -5*l + r*p - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let c be -3*(-1)\/6*2. Let p = c - 1. Sort p, u, 3 in increasing order.\nAnswer: u, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:04 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16649 + 17035. Which is the second smallest value? (a) h (b) 7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.280259 months to millennia.\nAnswer: 0.00135668825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 925 - -16a?\nAnswer: a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7743 - 7735. Let b(t) = -5*t + 12. Let l(a) = -14*a + 36. Let j(s) = -8*b(s) + 3*l(s). Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + v + v + (-2*v + 0*v + 3*v)*(-4 + 1 + 4) - 4*v - 9*v - 63*v - 13*v in the form d + u*v and give u.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292 - -291. Let k = 0.059 - -57.941. Let f = 51 - k. What is the closest to l in -0.4, f, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:44 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10475131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20290411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 2 = -13*d. Let q(t) be the second derivative of -5*t**3\/6 + 3*t. Give q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 1239500961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 53526, 3, -4 in increasing order.\nAnswer: -4, -3, 3, 53526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45501 - 24?\nAnswer: -45525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(90)\/sqrt(3))\/sqrt(2))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/5)*g*(g**4\/g*g*g)\/g*g)**8*((g*g\/g**5)\/g**(-6))**47 assuming g is positive.\nAnswer: g**(961\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 14. Let s = -7.098425809 + 0.098426289. Let t = n - s. Round t to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32429, -129812, -292117, -519344, -811493, -1168564, -1590557?\n\"Answer: -32461*b**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29454 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*m - 81 = -100*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-19))\/(9\/30*-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1306\/487 + 1885777\/686670. What is the common denominator of x and -58\/45?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/2? (a) -5 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 25*t = 0. Let l(i) = 7*i - 4*i + t*i + i. Let z(m) = -7*m**2. Determine l(z(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 15}. Give prob of sequence llb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-2)*((-18)\/10 + 3). Suppose -b*t = -7*t. Suppose t = 3*u - 2*i - 40, 0 - 2 = i. Solve 5*w + 8 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 3}. Give prob of picking 1 g and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -5*c**3\/6 + 7*c**2\/2 + 7*c + 41. Let y(m) = 2*m - 4. What is 3*o(h) + 5*y(h)?\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -17 + -5 + 0 + 8. Let b be (-238)\/(-42) - 4\/f. Solve b*j - 50 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1097 or -27277?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + (51 - 170) + 57.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22303, 3, 2\/293 in increasing order.\nAnswer: -22303, 2\/293, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 0.01. Let i = m + 0.11. Let p = 7635 - 7634.7. What is the closest to 1\/2 in 0, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 908482 and -9.36.\nAnswer: 908472.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*l + v + 26, 0 = 2*l - 3*v + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 645482223 divided by 9?\nAnswer: 71720247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3 - 17 - 14 + 40*b**2 - 75*b + 0*b**3 - b**3 - 7. Let q be k(38). Solve 60\/7*f**4 - 16\/7*f**5 - 80\/7*f**q + 0*f - 4\/7 + 40\/7*f**2 = 0 for f.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g - 161. Calculate the least common multiple of w(19) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s - 6. Let d be l(-6). Let k(h) = -h**2 - 11*h + 86. Let q be k(-16). Calculate the greatest common divisor of q and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1.6, -4, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(19)*-2 - (5 + 3*sqrt(19)) - (sqrt(2736) + 2 + sqrt(2736) + sqrt(2736) + -4 + -3)).\nAnswer: -45*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)*v**(-1\/7))**(-37) assuming v is positive.\nAnswer: v**(-185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312 + 537. Let t(f) = -3*f**2 + 85*f + 73. Let l be t(29). Calculate the greatest common divisor of l and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let j(a) = a - 3. Let h(k) be the first derivative of -k**2 + 7*k + 1. Let r(v) = 3*h(v) + 7*j(v). Determine r(n(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333185555 - 333185555 - 136*z.\nAnswer: -136*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-12) - (-27)\/12. Solve -r = 2*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-21) + 7168\/(-31360)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1527 and 23117253?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135465 is divided by 11288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/3 + 458 + (-2 - -4)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 22. What is the second derivative of x**4 - 4 + v + x + 0*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11449 + 1362400\/119. Is 0 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Let h be (2\/(-5))\/(i\/(-10)). Let l = -3.07 - -0.07. Sort -2, h, l in ascending order.\nAnswer: l, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/3)\/((-25)\/(-15)) - -11.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)\/d**(-6))\/(d*(d\/(d\/(d\/((d\/(d\/d**(1\/6)*d))\/d)*d)))\/d*d*d*d**(-7)) assuming d is positive.\nAnswer: d**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*a + 1337 + 493. Let j be 2 - (-1 + -3 + 2). Solve 0 = j*h - h + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4577 and 796.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -480, -2\/7, 6, -0.3, -2?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/35 and -95\/352?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.907 - -0.173. Let z = g - 2.08. Which is the third biggest value? (a) 0.2 (b) 3 (c) 1\/3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3286 is divided by 1122.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1065 and -419.4?\nAnswer: -446661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16958654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -556, -2141, -4682, -8179, -12632, -18041, -24406?\n\"Answer: -478*s**2 - 151*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 + 4701228*j - 3683590784664.\nAnswer: -3*(j - 1567076)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*i + 19 = -2*l, 0 = 5*l + 3*i - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142, -160, -212, -316, -490?\n\"Answer: -3*b**3 + b**2 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -24. Let s = c - -15. Solve 0 = -5*r - 2*p, -s*r + 16 = -5*p - 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**3*u*z**2 - 43*t**2*u*z**2 - t**2*z + 2*t - 3*u*z**2 + 7*u*z + 6*u wrt t.\nAnswer: 36*t*u*z**2 - 86*u*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45653733 or -45653737?\nAnswer: -45653733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6160 (base 11) to base 12.\nAnswer: 4891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104488954 to the power of 1\/2, to the nearest integer?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/192 and -143\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18 - 1\/(-2)*-2. Let p = -25 + a. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -13 - 1 - -2)\/2. Let u = -4 - z. Sort u, 7, -0.5 in descending order.\nAnswer: 7, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*f - 24087 = 40*f + 11*f. Solve f*n = 621*n - 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = -2*j. Suppose 287 = j*t - 1049. Suppose 7 = a - t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8071031 rounded to two dps?\nAnswer: 8.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1898 and 34713982.\nAnswer: 451281766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6 - 3)*-3. Suppose 2*h + 40 = m*y - y, 8 = y + 2*h. Let z be (-3)\/(-2) - 1*18\/y. Solve -2*n + 2*q + z*q = 16, -9 = 3*n + 2*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18212 to the nearest 100.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3136*x + 13. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 2. Let l be 0 - (j - 6\/2). Suppose -5*x + 12 = a, 5*a - 37 = l*x - 4*x. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3275.2 * 0.0171.\nAnswer: -56.00592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 5 - -31)*(-15)\/(-12). Let d be (-6*5\/a)\/(2\/(-14)). Let j(g) = -3 - 1 + 4 + 5*g. Let c(f) = -21*f. Calculate d*c(t) + 26*j(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 9*h - 84. What is the lowest common multiple of 112\/6 - (-4)\/(-6) and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*b - 56*b + 528*b = -112*b + 15534 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-1 + sqrt(1620) + sqrt(1620) + 4)**2 + 3.\nAnswer: -32446 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 4\/3 (c) -8\/15 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let y(x) be the third derivative of -x**4\/24 - 5*x**3\/6 + x**2 + 3504*x. Calculate 2*w(b) + y(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n + 84 = -275 + 115 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 5*g + 7*g**2 + 15*g. Let p be j(-5). Suppose 2*w = -3*w + p. Calculate the highest common factor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - (19 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10340721\/209 + 49477. Let x = a + 6\/19. Put 2\/13, 5, 10, x in ascending order.\nAnswer: 2\/13, x, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715574685 to the power of 1\/2, to the nearest integer?\nAnswer: 41419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*k - 55 - 62 = 0, b + k = 120. Suppose 0 = 4*h + 216 - 564. Let f = b - h. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 107*x + 357640. What is j(397)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + -2446?\nAnswer: -2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116661298 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3682\/(-1052))\/(2*(-21)\/408).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/240 and 7\/300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41838, 83674, 125510, 167346, 209182?\nAnswer: 251018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 61. Suppose 3*u = -a + h, 5*u = -a - 1 + 13. Suppose -1 - 3 = -j + a*m, -m - 3 = -j. Solve 5*b - 16 = j*o, 5*o - b = 7 - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49.4114 minutes?\nAnswer: 2964.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 446540\/97 or 4603?\nAnswer: 446540\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24*-6*1\/84\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37292705 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 11*d + d**2 + 3*d - 14*d to the form h + w*d**2 + s*d and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3255054 (base 7) to base 8.\nAnswer: -1415700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.2, 16, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424922579.\nAnswer: 89, 4774411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4a8 (base 12) to base 10\nAnswer: -704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l*l**(-3\/4))\/(((l**(-2\/5)\/l*l*l*l)\/l)\/l*l\/(l\/((l\/l**(-6))\/l))) assuming l is positive.\nAnswer: l**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 352*i - 2224. Determine z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270102, 270106, 270110, 270114?\nAnswer: 270118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/4 - 3*t**4 + 21*t**3\/4 - 5*t**2\/2.\nAnswer: t**2*(t - 10)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -113.659 less than or equal to 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 80*v + 117. Give d(-39).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*u - 11 = 0, -212*u - 17 = 2*y - 217*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**25*m**(-3\/16) assuming m is positive.\nAnswer: m**(397\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 9*n - 3. What are the prime factors of h(-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/9020 and 83\/165.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Let q = m + -1. Solve h - 7 = 6*h - 3*j, -h + q = -5*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 728, 1414, 2566, 4190, 6292, 8878, 11954?\n\"Answer: l**3 + 227*l**2 - 2*l + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 2. Let i be -4*(-15)\/(-24)*2. What is the units digit of d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 592253896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63695395.\nAnswer: 5, 23, 553873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -496520742 divided by -248260371?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y**2 + 3*y**2)*(2*y**2 - 7*y + 7*y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 - a**3\/6 + a**2\/2 - 2*a. What is the units digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*p**3 + 1044*p**3 + 980*p**3 + 291*p**3.\nAnswer: 1907*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 15*r - 5. Let v be a(2). Suppose v = p + 3*i, -4*p + 7 = -3*i - 18. Suppose -t + 63 = -p. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110.07 - -1.07. Let a = -105.9 - k. Let r = a - 0.49. Round r to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 4*m - 7998, 3*w - 1881 + 7857 = 3*m. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10)*(-52)\/52\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 9*x + 9 = 0. Suppose h - 3*k + 6 = -1, x*k = 4*h - 8. Solve -9 = -5*m - 4*f, 0 = 4*m - h*f - 2 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -149*t - 2233. Let f be b(-15). Let c(w) be the first derivative of 0*w**f + 0*w**3 - 3*w + 13\/4*w**4 - 10. Find the first derivative of c(y) wrt y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let p be d(-4). Solve -p*v - 15 = -9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200982803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (858\/(-2080)*-16)\/(((-2)\/30)\/((-54)\/(-81)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -79, -129, -179?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 973684325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.79356nm to millimeters.\nAnswer: 0.00002279356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 28560, -251, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1917*t + 23907 - 8571 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1886, -1852, -1790, -1694, -1558, -1376?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 2*b + 10*b. Let f(c) = 20*c. Let p be (-9)\/(-6) - (-33)\/(-6). Let t(z) = p*f(z) + 11*s(z). Let x(j) = j. What is x(t(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**4 + 759*s**3 - 121*s**2 - 315*s - 383 wrt s?\nAnswer: -12*s**2 + 4554*s - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 26*d - 96. Calculate the remainder when w(5) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 - 5*r**2 + 5*r + 5. Suppose 5*s = 17*s + 60. Let n(f) = 2*f**3 - 3*f**2 + 3*f + 3. Determine s*n(v) + 3*y(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371297 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 51*d - 310. Let v be b(6). Sort v, 5, 169 in increasing order.\nAnswer: v, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2*g**3\/3 + 2*g - 2. Let h be 4 - (-7 + 15\/5). Let d be 28\/h*(-12)\/21. Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from vrvrmrrirrrrrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 223.1, 2, -319 in descending order.\nAnswer: 223.1, 2, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21354 divided by -34\nAnswer: 10677\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v + 31. Calculate z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v + 2. Let j be t(-7). Let s = 117 + j. Suppose -7*n + 2*n - 4*o + s = 0, 4*o - 6 = n. What is the highest common divisor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1496 and 88?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2248 bigger than -2202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -k - 17 + 1, -5*s = 5. Let j be k\/(-16) - 63\/(-12). What is the third derivative of 40*x**4 + 10*x**2 - 40*x**4 + x**j wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:42 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 114 = 336 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64188071?\nAnswer: 1669, 38459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 20 = -s, -174*s + 172*s = c - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 - -330. Solve 3*k + 8 = -4*m, 3*k - 2*m + 22 = -i*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -246, -3, 1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:46 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -144?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20473637200 to the nearest 1000000.\nAnswer: 20474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + 0)*-5 + 2 + 2*sqrt(99).\nAnswer: -24*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -37. Let o be 2\/3 + i + (-10)\/15. Calculate the common denominator of ((-31)\/o - 1\/(-2))\/9 and 2\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 3*t**2 - 2*t - 3. Let v(w) be the first derivative of -7*w**4\/4 + 11*w**3\/3 + 7*w**2\/2 + 11*w - 1. Determine 6*v(c) + 22*x(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3)*(48*n**2 + 75*n + 76*n - 146*n + 1) to the form i*n**2 + z*n + l and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.4 (c) 3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 + 13*o + 1. Let a = 1220 - 1220. What is g(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 1, 3\/8 in decreasing order.\nAnswer: 8, 1, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39959923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - (59 + (-8 - 35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1344, 4, 6.\nAnswer: 4, 6, 1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41132137 is divided by 12955.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434690863 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)*w\/(w\/(w\/(w*w**(4\/5)\/w))))**(-36) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((6 - (-3 + 7)) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 25 = -2*b - b - 11, -102 = 18*f - 3*b for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -25*b + 38*b. Sort -32, b, 3.\nAnswer: -32, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -915929633050 + -546\nAnswer: -915929633596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1 (c) -7.1 (d) 0.3 (e) -418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Suppose 0 = -4*y - 21 - 3. Let j(v) = 7*v**2 - 5. Let b(i) = 8*i**2 - 6. Let o(k) = y*j(k) + 5*b(k). What is o(u(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - k**2 - 2. Let q(d) = -5*d**3 - 15*d**2 - 15*d - 22. Let n(p) = q(p) - u(p). Determine n(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (10 + -2)) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 9. Let b be l(6). Suppose -b*d + 20 - 79 = -5*h, -2*h + 14 = 2*d. What is the remainder when (-3)\/(18\/4) + 238\/6 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 40*g**2 - 177*g - 7772. Give q(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from {d: 1, w: 1, a: 3, f: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*(-36)\/(-168). Which is the biggest value? (a) -1\/4 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437219*g = 2436554*g + 7980 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 16*m - 16*m - 609 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 5. Calculate the remainder when 1 is divided by n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**4 + 13*y**4 - 8*y**4)*(y - 4*y + 4*y).\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l. Let m(i) = 31*i + 39. Let k(g) = 12*g + 15. Let n(y) = 13*k(y) - 5*m(y). Let c = 49 - 34. Give c*n(j) + 2*u(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 19*n + 210. Let f be m(-11). Solve 0 = -3*a + 15, -3 = 3*d + a + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135544475 is divided by 85141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -2 - (-60)\/6. Suppose -o = 5*n - 14, 3 = -b*o + 23. Solve n*h + 5 = k, -3*k - 10 = -0*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3, 2, 55 in decreasing order.\nAnswer: 55, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 4*o - 2*o - 16*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4464*b. Let q(a) = 3*a**2. Determine d(q(y)).\nAnswer: -13392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70955896?\nAnswer: 2, 11, 806317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 358680.147 to the nearest 100.\nAnswer: 358700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, w: 1, x: 1}. What is prob of picking 1 d, 1 x, and 1 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 9*u - 5. Give d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 351912 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -49*g - 33. Let f be n(-7). Find the first derivative of 47*s**3 - 100 - 109 + f wrt s.\nAnswer: 141*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25. Let l be (u\/4)\/((-8)\/(-16)). Is l equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 r, and 1 k when four letters picked without replacement from qrkresaeaqraersq.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1 - 12*n**2 - 1. Let d(o) = 10*o + 8*o - 18*o + 2*o. Give d(m(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*t**3 - 2429*t**3 - t - 1745*t**3 + t.\nAnswer: -3850*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47198 - 25537. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 + 21*s + 29. Let d be z(-2). What is the nearest to d in -0.2, -0.02, 7, -2\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t + 161. Let n(k) = -k. Calculate n(l(j)).\nAnswer: 5*j - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 87492\/24325?\nAnswer: 87492\/24325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 80 = -4*p, 14 = -f + 4*p + 4. Solve -6*m - 10 = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 + 33*g**2 - 91*g**3 - 20*g**2.\nAnswer: -91*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206 divided by 1?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2341\/2 + -1169. Let p = 41.1 - 41. Which is the biggest value? (a) p (b) -0.1 (c) 1\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v + 9774. Let p be (v\/12)\/((-1)\/4). Suppose -p - 971 = 5*s. Round s to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30412 times -35.097?\nAnswer: -1067369.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 672829944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 2 = 0. Let y be 20*(h - -2 - -1). Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*y = -2, 5*y + 4 - 14 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 8*k + 43. Is w(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 + 5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 62. Calculate the remainder when 143 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162846934397\/2134 - 76310651. Let d = s + -98\/97. Find the common denominator of d and 5\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/9 - 124*u**4\/9 + 8126*u**3\/9 + 25216*u**2\/9 + 5656*u\/3 = 0.\nAnswer: -101, -2, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567086, 1134171, 1701252, 2268329, 2835402, 3402471, 3969536?\nAnswer: 4536597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -3684.9\nAnswer: 3684.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70843.5 months to years.\nAnswer: 5903.625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/4 - x**3\/2 + 3*x**2\/2 + 3*x. What are the prime factors of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 13) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -1010.70391.\nAnswer: -1011.20391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5, 0*h - 4*v = 5*h + 19. Let b = 17.9 + 0.1. Let m = b + -18. What is the third smallest value in m, h, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1930\nAnswer: -1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -354 + 5?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 9*o + 128 = 0. Suppose 3*m - o = -3*s + 2*s, 37 = 2*s - m. Which is smaller: 18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by ((-1)\/2)\/(25\/(-900))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u - 2. Let a be q(-3). Let y be (-4)\/10*(12 + a). Let h be (-2 - -4) + y\/2. Solve h + 1 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(4\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/42)\/(1\/(-596)). Let t = r + 128. Let a(q) = -2*q**3 - 24*q**2 + 274*q + 149. Let f be a(-19). Is t smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*a*d**3 - 8*a + 304*d**3 wrt a?\nAnswer: 7*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.101 and 1672918?\nAnswer: 1672917.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 61*g**2 + 195*g - 313. What is the hundreds digit of w(58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3580868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x. Let q(c) = c**2 + 3. Let v = -1 + -13. Let b(d) = 4*d**2 + 14. Let j(m) = v*q(m) + 3*b(m). Determine h(j(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 156*w**5\/7 - 268*w**4 + 452*w**3 + 276*w**2\/7 - 3320*w\/7 + 1600\/7 = 0. Calculate w.\nAnswer: -1, 1, 40\/39, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpo when four letters picked without replacement from gyhpphgyygoppcgyyhh.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -901 + 903. Suppose -v = 2*k - 12, 2*k - 4*v - 6 = k. Suppose 4*g = 2*x - k, 4*x - x - 9 = -2*g. Solve x*d + 1 = h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94891556 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (8 + 5 + -19 + -4 + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35090 + -1414649\nAnswer: -1379559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254192 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -784*p - 23041 - 2047 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 176 + 31*s + 88 to the form i*s + z and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38891 + -3.38891. Which is the third biggest value? (a) -46\/9 (b) -1\/3 (c) o (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2413.1 - 2412.9. Suppose -6*n + 2*n + 3*w = 0, -5*w = -4*n - 8. Which is the closest to p? (a) n (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485734707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 445 = 4*p + 16*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65142?\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) - sqrt(336)*2 - sqrt(21))\/((sqrt(243)*-2 - sqrt(243)) + sqrt(3) - sqrt(3)).\nAnswer: 5*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 74, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-80))\/(210\/(-6300)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 14, 9\/23.\nAnswer: -0.4, 9\/23, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 + 138*h**2 + 21600*h + 458784 = 0.\nAnswer: -36, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*m - 587*m - 626*m as i + h*m and give h.\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-2))\/((-25)\/250*5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*g = -14, 2632*d - 2634*d = -3*g - 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x*z**4 + 214*x*z + 11*z**5 + z**2 wrt z?\nAnswer: -24*x*z**2 + 220*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 12*c**2 + 10*c - 43. Let u be j(-10). Suppose 221 + 6 = 4*n - p, -p + 53 = n. Suppose u*x - n*x - 186 = 0. List the prime factors of x.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-12) - 40\/30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594294687 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: Four letters picked without replacement from ppgpppgpgpppppppgp. What is prob of sequence gppg?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/1189 (b) -8 (c) -1\/5 (d) -7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -79, -139, -201, -265, -331?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:01 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnu when three letters picked without replacement from {d: 4, e: 1, u: 7, n: 8}?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 787*s**2 - 1558*s**2 + 772*s**2 + 14*s**3 to t*s**3 + j + x*s + b*s**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-135061)\/(-30448) + (-16)\/88. Let h = 23\/346 - a. Find the common denominator of -137\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4343?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -29*t + 148. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119344 is divided by 27171.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 6. Let g = -6 - -2. Let o be t(g). Suppose -3*u + 4*u - y + 2 = 0, 0 = -4*u + 2*y. Solve -o*c + u = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + b + 4 + (18 - 18 - 32*b)*(3 + 4 - 6) + (-3*b + 0*b + 5*b)*(-1 + 0 + 0) as a + m*b and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2*c**2 + 5*c**2)*(-33*c + 16*c + 12*c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {i: 6, g: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hggb when four letters picked without replacement from {b: 2, g: 2, h: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10755 by 1195.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5256 = 40*l + 7584. Let v = l - -2891\/9. Which is greater: 77 or v?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 27*z**2 - z - 20. Let h be a(-27). Suppose 376 = -h*s + 1181. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -794, -3160, -7106, -12638, -19762, -28484, -38810?\n\"Answer: -a**3 - 784*a**2 - 7*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 40 = 2*d, 3*d - 21 = -3*l + 39. Solve -2*y + 4*o - 2 = -o, 0 = -4*y - 2*o + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52552 + a2?\nAnswer: -52460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 73 - 354*w.\nAnswer: -354*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 + 4 = 0. Let x(d) = d**3 - 12*d**2 - d + 13. Let p be x(12). Suppose -p = 3*l - c. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llllllllllsl.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5.8 (b) -1\/29 (c) 0.4 (d) 3\/55 (e) 61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epppppppveppeeipv. What is prob of sequence ev?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 82*v**2 + 224*v - 21. What is the remainder when t(-36) is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6968867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**2 + 113063*p - 1249312 wrt p?\nAnswer: 2*p + 113063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 272011? (a) 0.04 (b) 0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f**(1\/8))**(-3\/4)*(f**2\/((f*f\/f**(2\/3)*f*f)\/f*f))**(1\/37) assuming f is positive.\nAnswer: f**(12859\/3552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49836129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1274967 and 25\/424989.\nAnswer: 1274967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmdcmdmlmmmm. What is prob of picking 2 l, 1 m, and 1 c?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2)*-7)\/(16\/(-992)). Let l = -195 - z. Let c = -6 - -8. Solve -q - 4*q + 3*b + l = 0, -c*b - 10 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -10, -511, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 90 = -x + 3*w, 4*x - 296 = 4*w. Suppose -x = -21*p - 15. Solve 5*k = -4*n - 10, -1 + 27 = -4*n + p*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 64*k**2 - 22*k**4 + 0*k - 32*k**3 + 0 - 1\/35*k**7 - 27\/5*k**5 - 5\/8*k**6. Factor v(x).\nAnswer: -3*(x + 4)**3*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*m - 15. Let l = -1 + m. Let t = -4 + l. Solve 0*v - 2*v + 6 = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300 + -199. Suppose -3*a + x = 23. Suppose -5*k + 60 - 15 = 0. Calculate the remainder when a is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*h + 9*h - 12*h - h)*(3*h**2 + 3*h**2 - 2*h**2) in the form k + q*h**2 + z*h + u*h**3 and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12396420 - -0.4\nAnswer: -12396419.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87375 and 25?\nAnswer: 87375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -34*h + 2. Suppose -z = 3*z + 8. Let k be n(z). Let q be k\/4*(-88)\/(-55). Solve 2*y + q = t + 4*t, -4*t + 3*y = -28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*x = 1147*x - 42 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -13, -33, -61, -97, -141, -193?\n\"Answer: -4*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 200.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u - 9. Determine w(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207 by 69.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21321 is divided by 3760.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44607331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 2 j when four letters picked without replacement from {i: 1, q: 1, a: 4, u: 1, j: 6, s: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2544)\/(-742))\/(3\/(-21)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1620 = -c, -4*d - 3*c + 49 = 6532. Let j = -9595\/6 - d. What is the common denominator of 3\/6 - (-56)\/(-6) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 8*o + 62. Let v(p) = -5*p - 41. What is the remainder when 181 is divided by v(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 373733 and 3370?\nAnswer: 3737330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 2 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*c + 40*c - g - 649 = 0, 0*g + 3 = 3*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 9984?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73735 is divided by 15967.\nAnswer: 9867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 + -0.01. Let x be 9\/(-6)*(-8)\/54. Let i = -11 + 7. Which is the smallest value? (a) i (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1203792 and 1203791 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 101321?\nAnswer: 101331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-7)\/14 - 3\/2. What is the closest to 1\/7 in -1\/5, f, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 46, 35, -30, -167, -394, -729, -1190?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985 at most as big as 2985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5)*(-2 - 3). Suppose 3*v + 2 = -2*n - 5, 5*v = -4*n - 11. Let t = n - 2. Which is the third biggest value? (a) t (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3594017*g**4 + 3124*g - 1033 wrt g.\nAnswer: -43128204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/6 + 290*j\/3 + 27993\/2 = 0.\nAnswer: -301, -279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0*v**2 - 3*v**2 + 2*v**2. Let b(k) be the third derivative of -k**7\/1260 - k**4\/12 + 5*k**2. Let g(l) be the second derivative of b(l). Give t(g(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26932 (base 12) in base 2?\nAnswer: 1100111110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**9\/1728 - y**8\/560 - y**7\/1120 + y**6\/720 + 2*y**3\/3 + 1. Let s(f) be the third derivative of t(f). Factor s(m).\nAnswer: -m**2*(m + 1)**2*(7*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*t - 0*q + 6, 0 = 4*t + 4*q + 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 + 2137 = -138*i. What is the second biggest value in i, 0, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(6)*1 + sqrt(6)))\/(sqrt(32)*5) - (-2*sqrt(3078))\/sqrt(288).\nAnswer: 61*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862 - 22529.632.\nAnswer: -21667.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Suppose -8 = -3*x - 2. Let k = 1 + 2. Let f(g) = 3 - k - x*g. Determine f(s(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 91. Let t be x(19). Determine l, given that -326*l**2 - 20736 - 667*l**2 + 6912*l + 48*l**3 - l**4 + t*l**2 = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1745, 4046, 10271, 22382, 42341, 72110, 113651?\n\"Answer: 327*l**3 + 12*l + 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 44.9. Let m = 43 + w. Sort -13, m, -0.1, 2\/5.\nAnswer: -13, m, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532785446?\nAnswer: 2, 181, 229, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703239715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25005, -49907, -74807, -99705, -124601, -149495?\nAnswer: -174387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + u = 4*s + 6, -48 + 28 = 4*s + 6*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*y + 103868 = 0, -19*y + 103862 = -2*b - 18*y. Round b to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by 11.\nAnswer: 172\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-187)\/(-68) + (-3 - -1)\/(-8). Put -5, a, 0 in increasing order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1411\/4 + 352. Sort 31, -0.3, w in decreasing order.\nAnswer: 31, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - b + 1. Let z be q(-1). Let g(c) = -2 - 2 - 1 + z*c + 4*c**2 + 2*c. Let k(f) = f**2 - 1. What is -g(d) + 5*k(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*r = 6, -36*u - 2*r = -40*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/17390 in 2\/633, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(187)*4)\/(sqrt(1100) - -1*sqrt(1100) - sqrt(1100)) + -1 + sqrt(85)\/((sqrt(75)\/sqrt(3))\/sqrt(5)) + 1.\nAnswer: 21*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 2, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**6\/8 + 9*y**5\/20 - y**3 + 4. Suppose k(l) = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2977422, -2977423, -2977424, -2977425?\n\"Answer: -i - 2977421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -199\/71305 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 greater than or equal to 523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 minus -0.096?\nAnswer: -139.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 27 = -68 - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1\/7)\/w*w))**37*w*w*w**(-8)*w**(-5\/14))**(-45) assuming w is positive.\nAnswer: w**(-22635\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544249371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-444)\/1332)\/(((-2)\/2)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l**2 + 3*l**2 + 3 + 3 + 6*l. Give v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/3? (a) -1\/7 (b) 2\/19 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**5\/270 + d**3\/27 - d**2 - 2. Let x(s) be the second derivative of w(s). Solve x(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/57780310 and -93\/8254330.\nAnswer: 57780310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 116569.1217 rounded to 0 decimal places?\nAnswer: 116569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-9))\/(1107\/6642)*(-5)\/((-10)\/(-12))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 0\/(3 + -7). Suppose -2*a + d = -9. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**40\/((n\/n**1*n)\/(n*n\/(n*n*n\/(n**(-2)*n*n))*n)))\/((n**(-1\/3)\/n)**(12\/11)*n*n**3*n*n**(-2\/5)\/n) assuming n is positive.\nAnswer: n**(-2373\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-60)*-12.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.57 - -2.7. Let a = z - -4.87. Let x = -267.8 + 268. Sort a, -3, x.\nAnswer: -3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.23 - 2.23. Which is the nearest to -13? (a) 2\/5 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14096*d*i**5 - 2*d*i**2 + 37*d*i + 51*d wrt i.\nAnswer: 845760*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337 plus 14412.66?\nAnswer: 13075.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -5 (c) 2 (d) -0.365 (e) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 14) to base 4.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 + 18*t + 5*t**2 - 18*t wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42028 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 333 = -5*g - 313, -2*f = 10*g - 40. Let d(u) = u**3 + 6*u**2 - 6*u + 8. Let b be d(-7). Put b, -4, 4, f in ascending order.\nAnswer: -4, f, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + 16664114?\nAnswer: 16664160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 10*m**2 - 7*m - 41. Let y be h(11). Solve u + 16 = -y*p - 0*p, -3*u = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 1\/71, 2\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 2 (b) -2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:35 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 u when four letters picked without replacement from nnugug.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -24, -31, -56, -105, -184, -299?\n\"Answer: -u**3 + 12*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77437305*n**2*u + 42703000*n**2 with respect to u.\nAnswer: 77437305*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*z + 4690 = -147 + 727 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 24*b. Let i(u) be the second derivative of 3\/2*u**3 - 4*u + 3*u**2 + b - 3\/4*u**4 - 3\/10*u**5. Factor i(j).\nAnswer: -3*(j - 1)*(j + 2)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8106)\/(-35) + (-4)\/(-10). Calculate the common denominator of 10\/25 + g\/45 and -3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -520191642?\nAnswer: 520191641.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(-8)\/(-162)*-3 + 2. Let d = -62 + 62. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 83. Let h be (273\/(-3) + -1)\/(2 + d). Suppose -18 = -5*s + h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -35*g**2 + 96*g + 29. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f. Let o = -20 - -24. Let d be o\/(4\/1) - -1. Let g(v) = -2*v**2 + d*v**2 - 2*v**2 + 5*v**2. Determine j(g(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/25*(-2)\/1. What is the closest to u in 21, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 225*l**2 + 2945*l + 10725.\nAnswer: -5*(l - 13)*(l + 3)*(l + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426927 divided by 1426927?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53255 and 2390?\nAnswer: 127279450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let x(n) = n**3 - 3*n**2 - 4*n + 3. Let u be x(j). Find the third derivative of -4*q**u + 3*q**2 + 3*q**2 + 5*q**2 - 5*q**2 wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105080 to the nearest 1000.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 298 + -300. Let o(d) = -256*d**3 + 5*d**2 + 7*d + 9. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580853\/10 + (9 - 651\/70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(4\/(-8)*2) - -2. Suppose -2*r = 5 + u. Is ((r - -2) + 1)*(-2 + -18) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117445*l**2 - 6*l - 2287?\nAnswer: -234890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -3 (c) -14 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20277 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 - 3*x + 3. Is 8 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/41 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, -0.2, 4\/7, -1431?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 1, 11, 25?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 139*v. Let c(a) = 8564854*a. What is c(n(m))?\nAnswer: 1190514706*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1 + 246*k**2 + 93*k**2 + 3*k + 0. Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 39480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d**(11\/2))\/(d\/(d\/(d*d**(-1\/5)))*d**17) assuming d is positive.\nAnswer: d**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/175)\/((-42)\/(-98))?\nAnswer: 2\/5","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 xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80415516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 2, v: 1, h: 5, a: 4}. What is prob of sequence ahha?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -168*p**3 - 247*p**2 - 1273*p - 12. What is the least common multiple of 6 and l(-5)?\nAnswer: 63534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 3*p + 4. Let v be n(4). Suppose 0 = -h - v*h + 4. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6150880 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*2\/4 - (-158756)\/39690. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138, -2636, -4464, -6622, -9110, -11928, -15076?\nAnswer: -18554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 168. Solve 8 = 5*u + 4*n, 0*u + 2*u = -v*n + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + 18*n. Let i be s(6). Let g be (i - 2)*10\/(-20). Is g >= -1\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from ummvvuvmmjmuvmumumv.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20333*r**2 + 9972*r**2 + 10121*r**2 - 26*r**3.\nAnswer: -26*r**3 - 240*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -572, 7523, 15618, 23713, 31808?\n\"Answer: 8095*p - 8667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 26*s = -48 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -48. Suppose -3*r = -3*c + 4*c - 1, -c + t = 5*r. Calculate the highest common factor of r and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)*i*i)**24 assuming i is positive.\nAnswer: i**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 13. Determine c(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + 1*sqrt(68) + 4)*3 + -2)**2.\nAnswer: -3822 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 40. Let v = -33 - -52. Calculate the remainder when x is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/121)*u*u**30*u assuming u is positive.\nAnswer: u**(3874\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209, 1647, 5545, 13133, 25641, 44299, 70337, 104985?\n\"Answer: 205*o**3 + 3*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = -80. Let p = q + 37. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 102. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215.386787 * 4\nAnswer: 861.547148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3454\/927695?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 53. Let c = -104 + s. Let p = -3.2 - -3. What is the closest to c in -2\/3, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.8 + -25. Sort -0.3, n, -0.1 in descending order.\nAnswer: -0.1, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -14. Let i(h) = -h**3 + 6*h**2 + 8*h + 9. Is i(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 150. Let w(f) = f - 30. Let j(r) = 2*m(r) + 11*w(r). Is 5 a factor of j(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -5*p**9\/6048 - 5*p**8\/672 - p**7\/48 - p**6\/48 - 3*p**3 - 10*p**2. Let y(j) be the first derivative of f(j). Factor y(o).\nAnswer: -5*o**2*(o + 1)**2*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225 + -213 - (-1 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let v be 4*3\/(-36) + (-98)\/3. Let x = v + 38. Let c(u) = -x*u + u + u. What is c(n(p))?\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/399 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173291*b - 173288*b + 519852*b - 173269*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.352 + -118.648. Let z = b + 120.29. What is z rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiiq when four letters picked without replacement from {k: 2, g: 2, q: 3, u: 9, i: 3, j: 1}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/23 - 10*(602756\/(-2024))\/(-103).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/3*u**3 - 4*u**2 + 0 - 12*u. What is the derivative of l(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2 + (-7 - (-392)\/42)*(-13 - -4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.4 - -7.3. Let s = 1.9 + -2.4. Which is the closest to w? (a) 6 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 11040?\nAnswer: 33120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*b - 5*b + 56, 48 = 5*v - 3*b. Let a = v + -6. What is the third derivative of -x**2 + x**6 + 0*x**a - 3*x**6 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53803.9977299 + 53804. Round t to five decimal places.\nAnswer: 0.00227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -66934923 and -66934919 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*j**2 - 812\/9 - 10\/3*j.\nAnswer: 2*(j - 29)*(j + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5171442 litres in millilitres?\nAnswer: 517.1442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 135999*c**2 - 3*c + 10. Let o(g) = -g**2 - 5. Let j be o(0). Let s be h(j). Round s to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Let c(r) = -3*r - 106. What is c(p) - d(p)?\nAnswer: -7*p - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 737947*j**4 - 329*j**2 + 167*j.\nAnswer: 17710728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:08 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c**3 + 1453*c**2\/2 - 13267*c\/2 - 7376 = 0. Calculate c.\nAnswer: -1, 461\/32, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -20333032?\nAnswer: 20333021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 2*n**2 + n + 7. Let q(l) = l**3 + l**2 - 2*l - 8. Let u(z) = -7*d(z) - 6*q(z). Suppose -30 = 5*t - 5. List the prime factors of u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/84)\/(1\/12*2). Let c = 417 - 420. Let p be 1 + -2*7\/10. What is the closest to p in o, 1\/9, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62173180 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from rllrrstlstlsrrtrlrt.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*x + 18150 = -51*x. Calculate the greatest common divisor of x and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1212 + 930. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5407 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.9 (c) -0.21 (d) 2\/457 (e) 3\/2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h. Suppose -n + 3 = h, -u - 3*u + 2*n + 2 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 14*v**2 + 15*v - 143. Calculate m(14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-222)\/42 - (-6)\/70?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1. Let f = 0.2 - w. Let a = 3 - 2. What is the biggest value in -2\/7, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22092030 divided by -3.\nAnswer: -7364010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 6*d - 3. Let t be u(6). Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + ((-291852)\/(-48))\/67. Are p and 113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/3 + 902*f**3\/3 - 67499*f**2 - 407704*f\/3 - 204304\/3.\nAnswer: -(f - 452)**2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, -3, 108, -4 in decreasing order.\nAnswer: 108, 5, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 6. List the prime factors of (-849)\/(-12) + (-2)\/k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**4\/2 + 65*u**3\/3 - 77*u + 680. What is the derivative of l(f) wrt f?\nAnswer: 18*f**2 + 130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 45477*g**2 + 16*g + 107. Let r be i(11). What is r rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/5, -0.5, 4\/17, 58, -2, 0.5?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -210888 divided by -1818?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) -6.49 (b) -0.5 (c) 17\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*l - 121 = 0, 7*g + 13*l = 55*l - 16*l - 22*l - 177 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2950 + -258.\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -u. Suppose u*x - 5*k + k - 1066 = 0, 2*x - 1096 = -2*k. Suppose -187 - x = c. What is c rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9807186229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99552?\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 736 + -292. Let k = -272 + t. Suppose 0*m - k = 2*m + 3*i, m = 5*i - 86. What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29922, -59792, -89664, -119538, -149414, -179292?\n\"Answer: -s**2 - 29867*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from {e: 3, o: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24079 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 5 + (-2 - -4 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -4*x**3 + 6*x + 2. Let u(k) = 11*k**2 - 5. Suppose -2454 = 16*z - 2374. Give z*o(m) - 6*u(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 39*z + 22. Let r(h) = -3*h + 2. Let t be r(5). Sort z, 3, t in decreasing order.\nAnswer: 3, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 58. What is the biggest value in -0.5, 1\/10, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11623891 and -0.5.\nAnswer: -5811945.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**4*k*k**4*k*k**(-2\/15))\/(((k\/(k\/(k\/((k\/((k\/(k\/k**3))\/k*k))\/k)*k)))\/k*(k**(1\/9)\/k)\/k)\/(k**(-1))**(9\/2)) assuming k is positive.\nAnswer: k**(-157\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1680 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29782 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 - 139. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7507 + 8985. Calculate the smallest common multiple of u and 20.\nAnswer: 14780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c + 12. Let f be p(5). Differentiate 2*a**f - 1949 - 2*a**2 - 9*a**4 + 1937 with respect to a.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24798635617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13401*r + 80400. Determine h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - r**3 + 1 + (-3*r + 6*r - r)*(2*r**2 + 1 - 1) + (6*r**2 + 0*r**2 + 0*r**2)*(r + 0*r - 3*r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2300117647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 2}. Give prob of sequence bgb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*v - 61*v - 1 = 0. Let n(x) = 177*x. Is 12 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -197\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 247 (b) -23 (c) -2\/347 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 + 116. Let h(w) = 12 - 8 - i - 4*w**2 + 2*w**2. Let l(d) = 3*d**2 - 7. Let b(m) = -7*h(m) - 3*l(m). Let q(j) = -2*j**2. Determine q(b(f)).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 118. Calculate the remainder when 111 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10208*f**2 + 10208*f**2 - 124 - 115*f**3 wrt f.\nAnswer: -345*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -0.09?\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4700 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 4, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 3, -32, -91, -180?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28\/447 - 5395\/298. Calculate the common denominator of ((-14)\/(-12))\/((-1)\/11) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 14*z + 3. Let u be (38\/10)\/((-23)\/(-575)). Let i be (-2 - -7) + u\/(-2 + -3). Give n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m - 5 = 0, -13 = -3*f - 5*m. Suppose 3*j - f = -0*j. Suppose a + 11 = j*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -8008, 5.3, -1 in decreasing order.\nAnswer: 5.3, 5, -0.5, -1, -8008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 e when three letters picked without replacement from rroedoddoedzxdrdrd.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.76 - 0.56. Let a = 0.09 - 0.19. What is the second biggest value in r, a, 3, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-20))\/(6\/15). Let v(a) be the third derivative of -3*a**o - 5\/24*a**4 + 1\/6*a**3 + 0 + 0*a. Give v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 60*r**2 - 39*r + 14. Calculate the least common multiple of i(2) and 1616.\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 + q - 5. Let s be u(5). Suppose s = -t + 2*t - 100. Suppose -o = -6*o + t. Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37160*y - 3 - 4181*y**2 - 37160*y + 3.\nAnswer: -4181*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*d**3*l*q - 14*d**3*l + 2*d**2*l*q + 4*d**2 + 641*l*q wrt d?\nAnswer: -1608*l*q - 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 12*j**2 - 5. Calculate g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 107745\/331 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 584 + -306. Let y = w - -263. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z + 1. Let l be a(0). Is 9 a factor of -3*l\/((-1)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1355*m + 1519 + 2335 + 1347*m + 10*m**2 wrt m?\nAnswer: 20*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.147, -3, 3 in decreasing order.\nAnswer: 3, 0.147, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -9*l**5 - 48*l**4 + 11*l**3 + 158*l**2 + 148*l + 40 = 0?\nAnswer: -5, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nnnuueeeeuqeqenuqeu.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0203243832 to 5 decimal places.\nAnswer: -0.02032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:13 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 41 (b) 133 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1320592\/(-169) - 12\/(-78). Is k\/5*(9 - 23\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-704)\/4)\/(-4)*13*1. Let f = g + 1051. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.345\nAnswer: 0.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o**4 + 2*o**3 - 40*o + 37*o + 5 - 3 + (-3*o**2 + 3*o**2 + o**2)*(-o**2 - 2*o**2 + o**2) as p*o**3 + q + b*o + z*o**4 + a*o**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-52)\/39)\/(2\/30). Let p(x) = 7*x - 5. Let f be p(-8). Let s = b - f. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58285973 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, 251, 1342, 3603, 7436, 13243, 21426, 32387?\n\"Answer: 67*s**3 - 18*s**2 - 92*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 98 = 28. Let a = -64 - j. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 13*u**2 + 8*u + 23. Give m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (234\/4)\/((-8)\/(-16)). Suppose s = 4*s - x. Let c = s + -7. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/15*(-472 + (-9)\/3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 75*y**2 + 2*y + 4. Let j be i(-2). Suppose -f - j = l - 3*l, 5*f = -10. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.390494 millennia to months.\nAnswer: 40685.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7823, 31520, 71015, 126308, 197399, 284288?\nAnswer: 386975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -67. What is the smallest common multiple of r and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -69046 and 0.5?\nAnswer: 69046.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:54 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 37, -5 in decreasing order.\nAnswer: 59, 37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 12 + 13. Let g = -1358 + 4076\/3. Which is the nearest to g? (a) -2 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {k: 3, q: 3, c: 7, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28*-0.1074\nAnswer: -3.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(-35)\/(-70)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 + -189. Suppose c*n - 794 = r - 45, -4*n + r = -1495. List the prime factors of n.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 26*c - 12. Calculate i(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -89532, -90838, -92144, -93450, -94756?\n\"Answer: -1306*f - 88226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 1 (b) 0.3 (c) -5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/3*((-26)\/(-45))\/(-13). Let r = 10.93 - 11. What is the third biggest value in -0.1, r, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9449198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 16, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, l: 1}. Give prob of picking 1 l and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1406*i**2 - 17*i + 16. List the prime factors of b(1).\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441.\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 43)\/16*5 + 2 + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 4:27 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52709 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -2 - (31 - (6 - (-10 + -26))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 - 11 = 5*p, -5*p - 3*b = -15. Solve -f = -5*a - 14, -9 = -3*f - p*a + 4*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*f + 361 - 2440. Calculate the remainder when f is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/30 - (-2)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/25742088 and 55\/5203188.\nAnswer: 489099672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325333 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d - 138. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Let v = f + -0.5. Which is bigger: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + k - 16 = -3*k, -c - 5*k - 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-27*4\/(-24)*10\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14788?\nAnswer: 2, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 111. Let p = -89 + 90. Which is the closest to p? (a) -36 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -10063.\nAnswer: 45\/10063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13185 + 2271 = -1819*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.469427 months in decades?\nAnswer: 0.162245225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*d**3 + 3 + (4*d + 17*d - 6*d)*(1 - 1 - 1)*(-d**2 - 3*d**2 + 3*d**2).\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 75 - 63 + 25 + 231 + b**3 - 57 - 2*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:58 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmkk when four letters picked without replacement from kmmkmmmkkkkmmk?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 832400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3881979711 to the nearest integer?\nAnswer: 62306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 14 - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 7}. What is prob of picking 4 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:34 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*t**2 - 27918*c**3*t - 4*c**3 - 196*c**2*t**2 + 758*c*t**2 - t**2 + t + 28 wrt t.\nAnswer: 4*c**3 - 392*c**2 + 1516*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*j - 22, -4*j = 21673*c - 21668*c + 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 53*i**2 + 55*i - 43. Give z(54).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 28*g**2 - 27*g**2 + 53*g**2 + 310*g**4 + 67*g**4 + 3 to the form w + j*g**4 + o*g + m*g**3 + z*g**2 and give j.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5*h - 8 = 0, 2*j = -2*h + 10. Factor g**j - 4*g**2 + 36*g - 18*g - 23*g.\nAnswer: g*(g - 5)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*x - 53, 2*x + 2*p = 42 - 14. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = y - 994, -778 = -3*y - 2*o + 2170. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Suppose 124 = 4*v - 3*n - 148, p*v - 280 = 5*n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13528 divided by 6764.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 42\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*r - 1, 0 = -60*m + 62*m + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80596*w**4 + 483*w**2 + 457216762 wrt w.\nAnswer: -322384*w**3 + 966*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 3. Suppose -5*m - 6 = -3*y, -3*y + 2*m + 5 + 1 = 0. Sort 4, y, f in increasing order.\nAnswer: y, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2619979 and 5036?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/10 + x**4\/6 + 5*x**3\/6 + x**2 - 105*x. Determine b(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) -539 (d) 7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3226319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -146*t + 2369. Calculate the remainder when i(15) is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*h = 3*j - 126*h, -j - 4*h = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, a: 2, u: 2, z: 3}. What is prob of picking 1 u and 1 a?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 75407346.04 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 19*l - 8. Let k be w(8). Suppose -4*d = -0*d - 64. What is the greatest common divisor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h - 5*r = 1, 0 = 5*h + 3*r + 11. Let j be (-78)\/(-5)*((-10)\/h - -5). Calculate the highest common divisor of 39 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011111?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 + 2*u + u**3 - 2 + 0*u**2 - 3*u. Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 224.14. Let l = -2.995 + q. What is l rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8*f. Suppose 0 = -0*c + 2*c - 1090. Suppose 3*h - 285 = -5*x, -5*h - 3*x + c - 70 = f. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/4, -3, 1, 15.6.\nAnswer: -3, -2\/13, 1\/4, 1, 15.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 - -3)) + (-73 - -69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0 (c) 1 (d) 7 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2120 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 - -468. Suppose -990 - m = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12913 is divided by 677.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 90. Which is the second smallest value? (a) -3\/2 (b) i (c) 0.2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l + 6. Calculate the remainder when 53 is divided by w(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 58. Let m = -23 + c. Suppose m*h = 13*h - 60. Calculate the greatest common factor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*h - 210*h - 44*h + 139*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) - (-2 + sqrt(175) + 0)) + 2 + 2)**2 + ((-1 + -5*(sqrt(175) - (sqrt(175) + 0)))*1)**2 + -2.\nAnswer: 60*sqrt(7) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1480 by 8.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39996 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6398426.8 to the nearest one hundred thousand.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/7, -130, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 1. Let r be w(8). Calculate the highest common factor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from vxxqvxvvv.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let k be s(0). Suppose 0 = -2*j + m + 69, k*m - 3*m - 175 = -5*j. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 13*m + 24*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -634 divided by 101560\nAnswer: -317\/50780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 3*u**2 + 0*u**2)*(13 - 2 - 4) - u**2 - 2*u**2 + 4*u**2 + (u**2 + u**2 + 0*u**2)*(-2 - 1 + 2).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 37, -5, -79, -191, -347, -553, -815?\n\"Answer: -s**3 - 7*s**2 + 12*s + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 39. Give c(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(4 - 2). Let u = 0 - y. Solve 2*t - 1 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -44, -86, -158, -272, -440, -674?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -736, -615, -384, -7, 552, 1329, 2360?\nAnswer: 3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4*x - 5. Let w be t(3). Let g(q) = -11*q**3 - 3*q**2 - 6*q - 2. Is g(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -128\/3?\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15399 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: Solve -15 = d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Let o be (h\/5)\/((-2)\/10). Solve o*c + 20 = 4*f - 0*f, -f = 5*c + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1687 and 2476034.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3464.06 + -0.1.\nAnswer: -3464.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 1687.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 8800860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 0*y**4 + 6*y**4 + (3 - 1 + 0)*(223*y**4 + 14741*y - 14741*y) to the form s*y**3 + r*y + k + f*y**2 + g*y**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/7679 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11132*x**3 + 22232*x**3 - 11113*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3242.47 and -0.04.\nAnswer: -129.6988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {j: 9, q: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 27. Let h(k) = 3*k - 4. What is the remainder when h(5) is divided by (t\/(-28))\/((-2)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5104\/(-3498))\/58)\/((-1)\/(1\/4*-2))?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001071672 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + -8 + (-4 - 27).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437546009 to the power of 1\/3, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 71 = 5*p, 3*p + 4*f - 47 = 6*f. Let r(o) = -o**2 + 18*o - 24. What is the units digit of r(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/201296 and -223\/9660?\nAnswer: 21136080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 607799 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3677?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5795404463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 232 + -7610373730\nAnswer: -7610373498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69)\/(-2)*(-2)\/(-3). Suppose -w + g = -4*a, 4*w = 2*a + 44 - 8. Suppose c = -d + w, -d - 16 = -3*d - 4*c. Solve -4*y + d = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683480.\nAnswer: 2, 5, 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3524 + -41?\nAnswer: -4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 63.\nAnswer: -5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from wxddppi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 1701 = 42*y. Sort y, -4, 0, -9 in ascending order.\nAnswer: y, -9, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.43 - 2.6. Let d = 0.196 + b. Round d to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*x - 80, 0 = -x - 3*r + 127 - 90. Solve 53*w = x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 34, 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 119*h + 25 = 120*h, -c - 4*h = -10. What is the greatest common divisor of c and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 59*k + 38. Let u be i(-3). Let w(g) = -5*g**2 - g + 4. Let m be w(3). Let v = m - u. What are the prime factors of v?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - 205 + 415 - 5*k - 2*k**3 - 210 + 0*k to the form l*k**2 + b + j*k + o*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1853838 and 1853838.\nAnswer: 1853838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 6. Let d = -5 - t. Which is the third biggest value? (a) d (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -558855.\nAnswer: -1\/50805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 54.52 (b) -2 (c) 2\/5 (d) 3 (e) -353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62176.\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 43*v**2 + 221*v + 68. What is r(37)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f**2 + 0*f - 15\/4*f**4 - 9\/2*f**3 - 3\/4*f**5.\nAnswer: -3*f**3*(f + 2)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 144. Let s = 116 - a. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 9) to base 11\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z\/((z\/(z\/(z**(-26)\/z)))\/z)*z assuming z is positive.\nAnswer: z**(212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 338 = 4*k, -2*m = m + 3*k + 201. What is the smallest common multiple of 40\/m + 92\/14 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1152629, 1152630, 1152631, 1152632?\nAnswer: 1152633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4.6. Let f = 6.4 + o. Let g = f - 8.000096. Round g to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 + 2*k + 5. Let z be i(3). Let c be (1 - z)*(0 + -5). Factor 4*r**5 - r**2 + 5*r**2 - 2*r**2 - 5*r**c + r - 2*r**4.\nAnswer: -r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - o + 3. Let b(v) = 9*v**2 - 3*v + 5. Let s(c) = -3*b(c) + 5*i(c). Suppose s(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*z + 837 = -113*z. Calculate the remainder when z is divided by (-2 + (-8)\/(-5))*-80.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**37*o*o**(-1\/3)*o**(2\/11)*o**22 assuming o is positive.\nAnswer: o**(1975\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/((-300)\/40))\/((-2)\/15199).\nAnswer: 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - 3*g - 6. Let j be p(-3). Suppose 5*u = j*n - 4*n + 117, 97 = n + u. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**3 - 3*n**3)*(310 - 902 + 64).\nAnswer: 1056*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 2795?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -653*m**3 + 347*m wrt m?\nAnswer: -3918*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5.2. Let h = 9 + -5. Let j = i - h. Are j and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, 3, 20, 541 in ascending order.\nAnswer: -5, -1, 3, 5, 20, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4616 - 4617. What is the third smallest value in 0.14, 3, j, -1.5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**7\/21 - k**6\/18 + 3*k**5\/5 + 13*k**4\/6 + 29*k**3\/9 + 5*k**2\/2 - 898*k. Suppose d(z) = 0. Calculate z.\nAnswer: -1, -5\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -16, -1, 0.1, -1\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let r(o) = 13*o**2 + o**3 - 6*o + 4*o**3 - 10*o**3 + 4*o**3 - 12. Let l(z) = 6*i(z) - r(z). Calculate the remainder when l(6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.35295 to one decimal place.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8013.79 grams?\nAnswer: 8013790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2835, 9755, 21283, 37413, 58139, 83455, 113355?\nAnswer: 147833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4138228238340 and 13.7?\nAnswer: 4138228238353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -2, -265 in decreasing order.\nAnswer: -2, -58, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2081 - 90. Let h = y - 1991.2051. Let m = h + -0.0679. Round m to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72a37 (base 12) in base 14?\nAnswer: 3c9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-1))\/(5\/1075). Suppose -5*g = -0*g - j. Let w be g\/7 - 10\/35. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6002 and 25386.\nAnswer: 76183386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.8. Let w be -9 + 6 + 26\/8. What is the nearest to 1 in w, 4\/3, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5612995 in increasing order.\nAnswer: 1, 6, 5612995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.31889863 to one decimal place.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 428999 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 18*2\/(-4). Suppose 2*a + 2 - c = 0. Find the third derivative of -10*p**a + 6*p**2 + 18*p**3 + p**2 wrt p.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191824151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + 2*i**3)*(1 - 3 + 1) - 3*i**3 + 4*i**2 - 4*i**2 - 87*i**3 - 81*i**3 + 39*i**3 + 2*i**3 + 2 - 2 + (-2*i + 3 - 3)*(2*i**2 - i**2 + i**2).\nAnswer: -136*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 - 11*v - 14. Let z(a) = -4*a + 7. Calculate the remainder when z(-5) is divided by b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Suppose -1689*t = -1720*t + 806. Suppose -8 = o*z, 2*i - 3*z + 2*z = t. Solve i = v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24*k + 4620 = 0. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 3*y - 3. Let l(i) = i**2. Calculate 3*l(z) + s(z).\nAnswer: -2*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -25 + 30 + -23.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 4. Let l(w) = 1. Let t(n) = 4*l(n) - z(n). Let v(j) = 6*j. Determine t(v(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2330 + 1?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8966.71 grams?\nAnswer: 8966710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvwv. Give prob of picking 1 v, 1 n, and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - s**2 + 1. Determine f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtstcctctcjsmtccgt. What is prob of picking 2 j and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 32) + 23 + 122\/31 + 2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:47 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7*f**2 - 69*f - 128. Let o be x(13). Which is the fifth biggest value? (a) -3\/4 (b) -0.7 (c) 1\/6 (d) 0.4 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose 2*b - 10 = -f*b. Suppose -5*q + 4*q - b = 0. What is the biggest value in q, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10662827731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 9. Let m = 0 - l. Solve a = -r - 5, -3*r - a - 10 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.69 and -0.26.\nAnswer: 0.4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 7 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 16) to base 4\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*i + 107*i - 176. What is the third smallest value in -0.1, -3, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36929394?\nAnswer: 2, 3, 241, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5*g - 10)*(9*g**2 + 6 - 6) + (19*g + 6*g + 3*g)*(7 - 7 + 3*g**2).\nAnswer: 129*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1948665561 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhccch. Give prob of sequence hh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5894?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24082, 24087, 24092, 24097?\nAnswer: 24102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 - 4*n - 1. Let d be r(-3). Suppose -v + 6*v = 5, d*v = 4*g - 10. Solve 4 = y - g*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + (-2 - 2) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 10*m + 16. Give c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = 2*t - 4*i, -5*t + 784 = -2*t - 4*i. Suppose 2496 = 3*z + t. Suppose -5*r - 3*r + z = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5\/2 + 99*b**4\/2 + 195*b**3\/2 - 4179*b**2\/2 + 3681*b - 1740 = 0.\nAnswer: -29, -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12463 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*w - 3, 0*w + 4*w + 12 = 4*f. Suppose 4*o - 4 = -6*g + f*g, 0 = g - 5*o + 24. Let v = 3 - g. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 1063*j**2 + 1064*j.\nAnswer: -j*(j - 1064)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 + -1) + 32. Suppose 3*c = -7 + f. Let h = 13 - c. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7000)\/(-2500)*(700\/(-8))\/5.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 1, 75, -58, -2, -4 in ascending order.\nAnswer: -58, -4, -2, 1, 75, 175","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1) + ((-120)\/(-208))\/(6\/(-40)). Put t, -36\/19, -1, -4 in increasing order.\nAnswer: -4, -36\/19, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 25*j - 3. Let z = -38861 - -38887. Calculate b(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17171.8561 rounded to the nearest one hundred?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i + 0*i + 7 + i. Let c(y) be the third derivative of y**4\/4 + 2*y**3\/3 + 2*y**2. Let h(z) = z**3 - 4. Let f be h(0). What is f*u(j) + 7*c(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1787 divided by -4458\nAnswer: -1787\/4458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/((-8)\/12) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - 81. Suppose 380 - 262 = 12*q + 1354. Is q smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (9 - 0) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -25*b**4\/12 - 7*b**3\/6 - 5*b**2\/2 - 87*b. What is the second derivative of v(u) wrt u?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002283557825 to seven decimal places.\nAnswer: 0.0002284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2905013043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1665e (base 16) to base 9\nAnswer: -148755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-42)*((-1)\/7)\/((-762)\/6223)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(216) + sqrt(65)\/sqrt(5)*-5.\nAnswer: -29*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 1701*j**2 - 903*j**2 + 1039*j**2 + 237 to the form f*j**2 + d + y*j and give f.\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4154 = -8*u - 14*u - 2922. What is the greatest common factor of 9128 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*t - 46 = -200*t + 77*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 285\/(-30))\/(1\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1234, -1236, -1238?\n\"Answer: -2*m - 1232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21392995*n**6 - 7*n**2 + 1124099*n.\nAnswer: -2567159400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Let z(k) = k + 1. Let q be z(-1). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1584732.\nAnswer: -3, 5, 1584732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((4*(sqrt(1377) + (1 + sqrt(1377))*1 + sqrt(1377)))**2 - (4 + (4 + (-1*sqrt(1377))**2 - sqrt(1377)) + sqrt(1377))).\nAnswer: 25920*sqrt(17) + 5907570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -347 (b) -1\/3 (c) 3 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-16 + -2) - (0 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76369, 151741, 227111, 302479, 377845?\nAnswer: 453209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677508927.\nAnswer: 3, 225836309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03458 and 10333.\nAnswer: 357.31514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11198517065284 less than 0.09?\nAnswer: -11198517065283.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6*g = 8*q - 3*g - 236, 0 = -629794*q + 629789*q + g - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.075, 0, 2?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 967 - 967 - 48*r in the form p + v*r and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + q + 1580 = 0, -5*q + 11949 = 5*t + 3989. What is the highest common divisor of t and 1708?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144333978 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000171527 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 9*s**2 - 6*s - 10. Suppose 6 = w + 2*w. Let o(k) = 4*k**3 + 28*k**2 + 17*k + 30. Let c(a) = w*o(a) + 7*x(a). What is the units digit of c(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 + 507.00794. What is o rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980442, -980439, -980436, -980433, -980430?\nAnswer: -980427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*c = 14, -5*c = -4*q - 0*q + 13. Suppose 0 = -5*l, -y - q = -2*y + 3*l. Solve -2 = y*j - 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 909 and 96455?\nAnswer: 868095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*p - 84 = 211*p + 188*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-237 - 6)\/(-3) + 11 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 29*u + 20 = q, 22*u - 52 = q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**3 - x**2 + 1. Let i(c) = -c**3 + c**2 + c - 1. Suppose -45*t + 6 = -39. Calculate t*i(j) + q(j).\nAnswer: -6*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 11202 - 11202.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*i + 13, 15*i + 5*w = 10*i + 10. Solve 0 = 3*r - i*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1101.1508.\nAnswer: -550.5754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/360 + h**3\/6 - 4*h**2. Let a(n) be the first derivative of v(n). Let j(i) = -2*i. Determine a(j(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10142*y**2 + 2391*y**2 - 15608*y**2 - 6691*y**2 in the form f*y + d + b*y**2 and give b.\nAnswer: -30050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -55 + 212 - 54 - 50 - h - 51. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:50 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a**2. Let f(r) = -2*r + 62. Let i be f(30). Let k(o) = -10*o + 6*o - i*o. Determine k(g(x)).\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 2. Suppose 4*p + 4 = 0, 3*q - 2*p + 1 + 3 = 0. What is the units digit of i(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(((sqrt(200)*2 + sqrt(200))*3 - (sqrt(200) - (sqrt(200) + (sqrt(200) - sqrt(200)*2) + -5 + sqrt(200)))) + -3))**2 + -1.\nAnswer: -466560*sqrt(2) + 5269535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 53*a**2 + 28*a + 201. What is y(53)?\nAnswer: 1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40147350 by -5.\nAnswer: -8029470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23779*l - 15258 = 23275*l + 37158 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*k**2 + 6*k**2 - 2*k**2 + 15*k**2 + 103*k**2.\nAnswer: 247*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 0)*(0 + 1 + 0) + 0 - 1 - 2)*(-1378*r**3 + 285*r - 14*r + 1364*r**3 + 2*r**4).\nAnswer: -2*r**4 + 14*r**3 - 271*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 14445?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*j**4*k**2 + 2*j*k**3 - k**3 - k wrt j?\nAnswer: 212*j**3*k**2 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - t - 41, -176 = x - 5*x - 2*t. Let z(c) = -c**3 - 4*c**2 + 8*c - 1. Calculate the remainder when x is divided by z(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 6*g**2 - 5*g - 4. Determine w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-150))\/(2\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3908, 3873, 3838?\n\"Answer: -35*q + 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, i: 3, x: 2}. Give prob of picking 1 x and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 + 20*h - 22. Give l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34319.\nAnswer: 34319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -86. What is the remainder when 121 is divided by (-93)\/c*(-5)\/((-15)\/(-4))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqfff. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*a + 28, 4*a + 13 - 42 = l. Let y = l + 20. Let g(b) = -y*b**2 - 98*b + 98*b. Let h(p) = -3*p**2. What is h(g(i))?\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Let t(q) = 7*q - 12. Let g(i) = -s(i) + t(i). Let y be g(0). Do -8 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4\/4 + 14*g**3\/3 + 15*g - 6. Let b be y(11). What is the third derivative of -11*q**2 + b - 5*q**4 - 378 wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3104 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86517.\nAnswer: 3, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*y - 35, 2*y + 212 = 216 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101120293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298481 + 210481. Round g to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2910426 and 24?\nAnswer: 11641704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:37 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p. Let q(x) = 29*x. What is 7*l(h) - 2*q(h)?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3701, 3702, 3703?\nAnswer: 3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + m - 1295 = 0, 3*m - 1103 = -3*y + 832. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3816?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + o**2 - 3 + 6 + 4 - 4. Let t be (3 - 6) + 1 + 2. Let h be b(t). Let y(x) = -3*x**2 + 5*x - 4. What is y(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 4*k - 4*k)*(-3 - 1 + 5).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/3, 64 in descending order.\nAnswer: 64, 2\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551*c**3*h*l**3 - 123*c**3*h*l**2 + 1333*c*h*l**3 - 70*c*h + 3*h*l**2 wrt l.\nAnswer: -3306*c**3*h + 7998*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + a - 208, 5*i + 0*i = 3*a + 356. What is the least common multiple of 224 and i?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19133.31408 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3523 and 7?\nAnswer: 24661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 > -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 292\/511*21\/24*20\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 0.04. Let x = -13 - -7. Let h(i) = i**2 + 5*i - 5. Let z be h(x). Which is the closest to z? (a) f (b) -0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*q = -625271 + 622221 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcfwwfwf. What is prob of picking 1 c, 2 f, and 1 w?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52936257 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353647 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 72938502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 103 - 75 = -13*o. Put o, -2\/7, 2\/13, -2.1, 0.2 in ascending order.\nAnswer: -2.1, o, -2\/7, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 42*h**2 + 229*h + 1168. What is the hundreds digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*q - 2600, 0 = -0*q + 6*q - 12. Solve -874*z - 10 = -k*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28471180403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 4*o + 0*o)*(7 - 3 + 2)*(111 + 221 + 262) to r + p*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/5 - ((-2712798)\/(-55))\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*t**3 + 4*t**4 + 3*t + 2*t + 73*t**3 + 122*t**2 - 6*t to the form a*t**4 + x*t + w*t**3 + n*t**2 + v and give n.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1613423 = -26*d + 2798855. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.07, 2\/15, 0.11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 7, a: 3, p: 1, y: 3, n: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8263, -36740, -84201, -150646?\n\"Answer: -9492*o**2 - o + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 0*s + 0*s)*(4 - 2 + 4)*(2 + 3 - 4)*(1 + 2 - 2) - s - 2*s + 2*s to w*s + m and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 7. Let q be 20 + -9 - (4 - -1). Let p be n(q). Suppose 0 = p*m - 25. Solve 0 + 10 = -m*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -111.1. Let j = -10 - r. Let k = 0.9 - j. Which is the second smallest value? (a) k (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-12) - ((-6)\/(-36))\/(-1). Suppose p*l = 3*l + 64. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 4.499. Let b = q + -1.229. Round b to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - m - 14. Let l be j(6). Suppose 0 = -2*v + 4*v - l. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.2 (b) 0.3623 (c) -10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 428 - 422. Which is the third biggest value? (a) i (b) -4 (c) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:06 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35.80084842021 from 12.\nAnswer: -23.80084842021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-8))\/((-1)\/4). Suppose 5*r - i = 14. Suppose 5*b + 2*c = 3*c + 1614, -4*b + 1295 = r*c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4788 = -6*s + 18*s. Suppose s = t + 108. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 2}. What is prob of sequence plpl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 18b1719?\nAnswer: 18b16bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2439837027.\nAnswer: 3, 79, 1279, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96600?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5645 (base 11) to base 9\nAnswer: -11165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4894903 seconds to hours.\nAnswer: 0.00235819175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22201201130 - 101?\nAnswer: -22201201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 20 = 4*d, -2*d - 5*g = -3 + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20*0.3974\nAnswer: -7.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 3*h**2 - 2*h - 10. Let l be t(5). Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 4*l - 0*l. Let x = -173 + 202. Suppose 5*m = 3*f - 45, -f + 15*m = 18*m - x. Calculate the highest common divisor of f and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6985 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 0*l**3 + 3*l**3 + 72*l.\nAnswer: 2*l**3 + 72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**2 + 236*l + 380. Determine p(-16).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 1, w: 4}. Give prob of sequence pw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 8*i + 11*i - 15*i. Let u be r(3). Factor -6*l**4 - 6*l**u - 14*l**5 + 12*l**5 - 2*l**2 + 0*l**3.\nAnswer: -2*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6889.564 milliseconds?\nAnswer: 6.889564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3431 - -1?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -3\/2 (c) -4 (d) 217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15938409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(8\/7)*h)**(-3\/10) assuming h is positive.\nAnswer: h**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/120 + w**4\/24 - w**3\/6 - w**2. Let a(q) be the first derivative of t(q). Let f be a(0). Solve -o + 2 + f = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*j*w**5 + 147*j - 11*w**5 + 3*w**3 - 12*w**2 wrt w?\nAnswer: 660*j*w**2 - 660*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1832*f**3 + 924*f**3 + 910*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2\/3, -2, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 10. Let v be o(4). Solve -3*i - 14 = -5*r - 6, -2*i = v*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(3*g**2 - 2 + 2).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 0*k**3 + k**3 + 1 + k**2 + 3*k - 2*k. Suppose -3*d + 6*d = 0. Suppose r + 9 = -2*s, -3*s + d*s = -4*r - 3. Determine o(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -41.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5901 - 76707\/13. Let l be 1\/(1\/12*26). Suppose 0 + 2\/13*u**4 - 2\/13*u + f*u**2 - l*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*140\/(-3675)*(-495)\/12?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 2*p + 10. Let m be s(4). Suppose -m*h = -0*h - 18. Calculate the highest common divisor of 81 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1576 + 404 = 63*s + 69*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -762, -1934, -3510?\n\"Answer: -202*a**2 - 162*a + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.41764 + 0.417676557. Round s to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-12))\/((-6)\/48)*3. Suppose -14 = -7*q - 7*q. Put 5, -1, p, q in descending order.\nAnswer: 5, p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 207*x**2 + 6*x**3 + 194 + 209*x**2.\nAnswer: 6*x**3 + 2*x**2 + 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -25 + 0 - (0 + -2). Let d = -12 - -4. Let y = d - f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*l = -263*l - 8. Let x(i) = -2*i**3 + 6*i**2 - 6*i + 9. Let y be x(l). Is -47 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and -74.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -176, -183, -190, -197, -204?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -165 - 2*w + 0*w - 150 + 25 as n + p*w and give n.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50253*n - 175897?\nAnswer: 50253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988.279 kilometers in centimeters?\nAnswer: 398827900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35569 = 4*s - 3*f, 5285 + 3606 = -s + f. Let h = s - -195623\/22. Calculate the common denominator of h and (8\/(-140))\/((-16)\/290).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10560261 (base 7) to base 4\nAnswer: 3201020031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1482 - -0.1482. Which is the nearest to 38? (a) 1\/7 (b) 0 (c) r (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21022 - 0?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -13330\/23 and -579 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by 11.\nAnswer: -938\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 7\/2 (c) -5.111 (d) 1 (e) 4 (f) -1 (g) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**8\/6720 - r**7\/1680 + r**5\/60 + 6*r**2. Let n(a) be the third derivative of v(a). Factor n(x).\nAnswer: -3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**10\/7560 + c**7\/504 - c**4\/3 - 4*c. Let k(l) be the third derivative of d(l). Find the third derivative of k(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67337, 135668, 203999, 272330, 340661, 408992?\n\"Answer: 68331*i - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 6. Let r be h(0). Let s = 323 + -296. Suppose -21 - s = -r*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 9*r**2 + 8*r + 5. Suppose 2*q = -0*f - f + 16, 3*q - 24 = 5*f. Let l be n(q). Solve -3*m = -0*y - y + l, -y = m + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 3, c: 6, g: 2, y: 3, k: 5}. What is prob of sequence ncc?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -6*o + 17. What is the common denominator of (o - 4) + 83\/15 and 187\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**2 - 39*a**2 + 38*a**2.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(1053) - sqrt(1053))*3 - ((1*(sqrt(1053) + sqrt(1053) + 2 + sqrt(1053)))**2 + (sqrt(1053) - (-2 + sqrt(1053))*-2)).\nAnswer: -9477 - 189*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3646610362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzy when four letters picked without replacement from lzllzllllzllzyly?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25840 = -z + 5*z. Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*g + 1871 - 1871 in the form k + c*g and give c.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -12*c + 3. Let d(u) = u**2 - 3. Let b be d(3). Suppose -2*r - b = -c*r. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/7 + 2799*u\/7 + 248110\/7 = 0. Calculate u.\nAnswer: -86, 2885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -131. Suppose -5*j - f - 186 = 0. Let c = 11 - j. Calculate the greatest common divisor of 28 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from fbfoobbofoofbobo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1400202153 divided by 9\nAnswer: -155578017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3477, -8, -1, 0 in decreasing order.\nAnswer: 3477, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -749.8 - -750. Let p = -7.1 + 4.1. Which is the second biggest value? (a) p (b) g (c) -1\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:36 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -395*j**2 + 230*j + 65. Let c(v) = -5 + 36*v**2 - 3*v - 1 + 5*v - 23*v. Let w(o) = -65*c(o) - 6*z(o). What is the second derivative of w(n) wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101861*b**5 + 6488*b + 2.\nAnswer: -2037220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1768*f - 1768*f + 4573*f**2 - 12457*f**2 to the form s*f + t*f**2 + a and give t.\nAnswer: -7884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1695\/1 + -53 + 25 + 25. Is 4 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.242 and 16944535.07.\nAnswer: 16944536.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -86*q + 22. What is the units digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o - 8. Let l be i(6). What is the common denominator of (4\/2)\/(3960\/(-4230)) and (-39)\/l*110\/(-90)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -5*z**8\/56 - z**4\/2 - 9*z. What is the third derivative of k(s) wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:35 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j - 67*j + 87*j**3 - 185*j**3 + 100*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfrf when four letters picked without replacement from {r: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1 + -1)\/(-2). Suppose l*h - 3*h = -60. Suppose -u - u + 36 = 0. What is the smallest common multiple of h and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - (15136\/(-645) + 24)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m - 33. Let o(u) = 23*u - 71. Calculate -6*o(v) + 11*p(v).\nAnswer: -6*v + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i. Let x be (-1 + 9)\/4 + 0. Let d(b) = -b + 1. Let t(m) = -12*m + 10. Let z(l) = x*t(l) - 20*d(l). What is z(c(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 29275930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 2*i**4\/3 + 2*i**3\/3 - 9*i**2\/2 + 62*i. Let j be m(3). Calculate the highest common divisor of 105 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01003 times 0.09\nAnswer: -0.0009027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44310 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/8 + z**3\/6 + 4*z**2. Suppose -3*a - a + 12 = 0. What is m(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12) + ((-55)\/(-44))\/(-5). Let f(w) be the second derivative of 9\/2*w**2 + 2*w - 11\/6*w**3 + m. Differentiate f(n) wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(5\/275*11). What is the second smallest value in 276\/7, r, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.61 - 1.11. Which is the closest to 2? (a) -11 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-108)\/48)\/(9\/(-12)). Suppose 0 = 3*a - 6, -q*g - a + 112 = 4*a. What is the remainder when 51 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o - 41415937*o**3.\nAnswer: -41415937*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - g)*(-36255*g**2 - 16101*g**2 - 2439577 + 2439577) to the form o*g**2 + j*g + q*g**3 + d and give q.\nAnswer: 52356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f**5 - 31*f**2 + 0*f**3 - 17\/210*f**7 + 0*f**6 - 7\/12*f**4 + 0 + 0*f. Find the second derivative of g(p) wrt p.\nAnswer: -204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904781271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m + 590 = -19*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/(24\/36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28664053?\nAnswer: 11, 236893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -50 + 122. Find the common denominator of (o\/(-30))\/2 + (-159)\/(-110) and 0 + (8 - 219\/6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + (-6)\/10. What is the units digit of 36\/(-12)*1*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g)*(-33 + 103 - 35) in the form h*g + o and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-28 - -11) + 29) - -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 - -5596. Suppose -4*s = -3*v + y, -5*v = -3*v + 4*s - 3558. Suppose -7*u + 4*u = -v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058486276.\nAnswer: 2, 29, 151, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 a when three letters picked without replacement from jabbjbjjjjbbjjaj?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 681, 4740, 15765, 37242, 72657, 125496, 199245?\n\"Answer: 581*g**3 - 3*g**2 + g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 19, -2, -1, 1\/8 in increasing order.\nAnswer: -5, -2, -1, 1\/8, 0.5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b353 (base 12) to base 16.\nAnswer: 9282f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*i + 1 + 2 + 1 + 6 with respect to i.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {v: 5, n: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1\/3 (c) 0.74 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50 + 2\/((-3)\/3). Let m be 3\/(-2)*128\/b. Let j be (10\/20)\/(1\/2). Put -1, j, m in decreasing order.\nAnswer: j, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22388, -44766, -67144, -89522?\n\"Answer: -22378*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 24*r + 106. Let j be b(20). Suppose 3*n + 9246 = j*n. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 43*g**2 + 56*g - 4110. What is s(42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*m**2 + m - 56*m**2 + 5*m**3)*(-1 + 2*m + 1 + 0 + 0 + m + (2 + 2*m - 2)*(0 + 2 - 1) + 3*m - 3*m + 4*m - m - 2 + 2 + (0*m + m + m)*(-3 + 1 + 0)).\nAnswer: 20*m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0.09.\nAnswer: -1, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*m - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5.68, 11319 in increasing order.\nAnswer: -5.68, -2, 11319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -10360002 and -51800008\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 55*i - 16. Is o(-17) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*b + 32 + 10, 2*d - 4*b - 44 = 0. Suppose -2*r = 3*t - 0*t + 4255, -4*t = -20. Let z = 17165\/8 + r. What is the common denominator of z and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19296, 19292, 19286, 19278, 19268?\nAnswer: 19256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.673 times -0.0442?\nAnswer: -0.0739466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.088? (a) 1 (b) 1\/2 (c) -1 (d) -37 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 20 = -4*t, 2*z + t = 4279. 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 1 (base 14) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a meter in centimeters?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6617311*0.008\nAnswer: 52938.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 187, 334, 463, 568, 643, 682?\n\"Answer: -f**3 - 3*f**2 + 163*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 78, 3, -12, 4, 8, 1 in descending order.\nAnswer: 78, 22, 8, 4, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72) - -2*sqrt(72)*2).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1551 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 2*k = 4*d + 12, 0 = -k - 5*d - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from ppplpplpppppplppplpp.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12335, 24644, 36941, 49220, 61475?\n\"Answer: -r**3 + 12316*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -196ca6 (base 15) to base 6\nAnswer: -42311550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21545902 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l**4)*(0 + 0 + 2) + (l**2 - 3*l**2 + 3*l**2)*(-19*l**2 - 4*l**2 + 14*l**2) + 2*l**3 + 2*l**4 - 2*l**3.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 119, 184, 251, 320?\n\"Answer: x**2 + 60*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**4 + y**3 + 4*y**4 + 42*y**3 - 6*y**3. Let q(l) = 11*l**4 + 149*l**3. Let u(f) = 9*i(f) - 2*q(f). Factor u(r).\nAnswer: 5*r**3*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3820)\/(-1480) + (-35)\/14. Are r and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10 = -c, 3*c = d + 199 - 205 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11848, 6, -1.5 in descending order.\nAnswer: 11848, 6, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34012 - 2764?\nAnswer: -36776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-1 + 5 + (-3 - (-30 + 28)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 69, -4, -7, -1 in descending order.\nAnswer: 69, 1, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*y - y - 53, 4*y - 122 = -5*r. Let q = 66 + 20. Calculate the remainder when q is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 22 = 0. Suppose -29 + 95 = 4*t - 5*y, 3*y - 101 = -5*t. What is the remainder when t is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10490, -10530, -10620, -10772, -10998, -11310, -11720?\nAnswer: -12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 - 2*v + 3. Let o be f(9). Suppose -371 = 19*i - 2803. Let x = i + o. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Let x be (1 - 0 - 2) + -2. Let o(k) = -k**2 - 4*k - 1. Let y be o(x). Sort -5, y, c.\nAnswer: -5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1052246 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v**3 + 608*v**2 + 6*v - 16. Let x(q) = q**3 - 38*q**2 - q + 1. Determine 5*u(f) + 80*x(f).\nAnswer: -10*f**3 - 50*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = -5*a - 33, 0 = -2*a - 5*x - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 463*(-1)\/90 - 45\/(-9). Let n = -16\/45 + s. Which is the closest to n? (a) 0.05 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/((k\/(k**1*k))\/k)*(k*(k\/(((k*k*k**(-2\/5)*k*k)\/k)\/k))\/k)**(-1\/22)*(k*k**(-2)\/k*k*k*k)**(2\/19)\/(k*k**(1\/5))**(-1\/57) assuming k is positive.\nAnswer: k**(8681\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749792 is divided by 575?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 3:20 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*d**2 + 8641*d - 8641*d + (d**2 + 2 - 2)*(-2 + 1 - 1) to the form y + m*d**2 + p*d and give m.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let p = 6 - 2. Suppose f + 2 = p. Let s(u) = u**f - 2*u**2 + 2*u**2. Determine s(a(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -494, -442, -344, -194, 14, 286, 628, 1046?\n\"Answer: y**3 + 17*y**2 - 6*y - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3570)\/81 + ((-2)\/8)\/((-2052)\/608)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, -15, 3\/8, -3474 in ascending order.\nAnswer: -3474, -15, -3\/10, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 18 + 22*b**2 + (2*b + 3*b - 3*b)*(-3 + 3 + 2*b).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -341 + 355 + 4*n - 3*n + (2*n + 0*n - 13*n)*(-2 + 1 + 3) + n - 1 + 1.\nAnswer: -20*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2837094000 to the nearest one million.\nAnswer: -2837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-346)\/4)\/((-45)\/60). What is the highest common divisor of 1539 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 3. Let i be f(5). Let g be 2 + 0 + 21 + 1. What is the highest common factor of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 9. Let z(m) = -7*m - 7. Let d(v) = 3*q(v) - 4*z(v). Let x(w) = 58*w - 115. Let c(h) = -5*d(h) + x(h). Find the first derivative of c(o) wrt o.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8775 is divided by 413.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 2. Let o be 3\/2*(x + (-4)\/6). Which is the closest to 4? (a) -2\/7 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -1430?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u + 40. Give t(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1014 and 4235478?\nAnswer: 4235478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*k - a, -75*k + 74*k - 4*a = -3. Put 0.1, 15, k in ascending order.\nAnswer: k, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 6*j**2 + 6*j**2 - 12*j**3 + 10*j**3 - 2 as x*j**2 + q + b*j + o*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 86, 4202 in decreasing order.\nAnswer: 4202, 86, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344845568 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 2*g**6\/15 - 13*g**2 + 20*g. Differentiate x(p) wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 385 + -372. Calculate the remainder when 244 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:43 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m + 2. Let s(f) = -12*f - 4. Let t(w) = 5*g(w) + 2*s(w). Let l(z) = 1. Suppose 694*h + 3 = 691*h. Give h*t(v) + 2*l(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84388450*n**2 - 31*n - 12615?\nAnswer: 168776900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-5))\/((-12)\/(-1360)). Suppose 3*v - 5040 - s = 0. Suppose -2*j - l = -972, -j - v = -5*j + 2*l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-39)*n)\/n*n*n**(3\/16)*(n**22*n)**(-43))**30 assuming n is positive.\nAnswer: n**(-246435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (0 + 4 + -2 + 4 + (-15 - -5))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -19. Suppose z - 18 = g*z. Let d(h) = -4*h - 2. Determine d(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/67 - 75\/268. Let a be (-580)\/(-440) + 2\/11. Sort a, n, -5.\nAnswer: -5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.5345 times -0.3\nAnswer: 1.96035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 381023134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 75\/3325*19*12\/(-270)\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(3\/(-3) - 1) - 0. What is the first derivative of -1 + 8 - n*v - 3 - 6 wrt v?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - (-6 + -6 + 5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 5832.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151048823 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 9*y - 4*y)*(y + y - y).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from vqpqvpffvputq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8)*43880\/(-19746).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.413 - 0.257. What is v rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 + 3*i**2 - 1. Let s be b(-1). Is 20 - (-8)\/s - 4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from aaannfaannhhnainqann?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*y + 103989, -a = y - 15129 - 19534. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27) + sqrt(15)\/(sqrt(25)\/sqrt(5)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:29 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2704 + 4108. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/9))\/y**(1\/18)*y*(y**(-23)\/y)\/y*y*y*y**(-1\/5))**(-44) assuming y is positive.\nAnswer: y**(14102\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -224*k + 64*k - 785 + 35 - 210 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:44 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33308a - -3?\nAnswer: 333090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 11 + -7 + -9 + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 33*d + 193. Give y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-9) + (-2 - 9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -552\/131, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d37208 - 3c?\nAnswer: 1d371bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 + 130*k**2\/3 - 268*k\/3 = 0.\nAnswer: -67, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1400952 divided by 28.\nAnswer: 50034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 14*d + 35. Let l be z(-11). Let a be l\/5 + (-43488)\/(-180). Calculate the highest common divisor of a and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + 148\/(-20))*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*k**3 - 1203*k**3 - 7060*k**3 - 5565*k**3.\nAnswer: -12053*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 m, and 1 y when four letters picked without replacement from {d: 4, m: 2, y: 1, e: 2, j: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8251*z**2 - 10968*z - 5. Let x(o) = 16502*o**2 - 21916*o - 11. Let j(w) = 11*r(w) - 5*x(w). Find the second derivative of j(q) wrt q.\nAnswer: 16502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204900 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*l**2\/4 + 1416678*l - 1133343\/4 = 0. What is l?\nAnswer: -377781, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -3*i**4\/2 - 12*i**2 + 7*i. Differentiate c(q) wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1589 (base 12) to base 9\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 8. Let r be (-2 + 3)\/(1\/2). Suppose 3*b = 3*x + 12, -4*b + 0*b + r*x = -16. What is the second smallest value in 2\/7, u, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4494\/(-26215))\/(((-18)\/21)\/(-3)) + (-1676)\/(-2860).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = -3*o - 3*f, -5*o = 3*f + 46. Let t = 17 - o. What is the remainder when (-21504)\/(-399) + 4\/38 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {h: 5, y: 1, g: 3, f: 1, a: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 4*h - h**2 + h**2 + h**2. Let i be w(2). Suppose -5*u + g + 3*g + 40 = i, 0 = 2*g + 10. What is the smallest common multiple of 2 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - n - 3. What are the prime factors of l(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/200 - 13*f**4\/120 - 23*f**3\/30 - 8*f**2\/5 - 26*f - 11. Factor x(j).\nAnswer: (j - 16)*(j + 1)*(j + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) - sqrt(84)*-2))\/sqrt(12).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -418, -1176, -2232, -3592, -5262, -7248, -9556?\n\"Answer: -b**3 - 143*b**2 - 322*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000107 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92a5b46 + -3?\nAnswer: 92a5b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:58 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n - 44. Let k(l) = l**3 + 11*l**2 - 3*l - 11. What is the units digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11317333*q**2 + 99*q + 11059 wrt q?\nAnswer: -22634666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6976 - -18749. What are the prime factors of i?\nAnswer: 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7689.244cm?\nAnswer: 76.89244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {b: 2, h: 3, e: 2, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126, 256, 386, 516, 646, 776?\n\"Answer: 130*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 + d**2 - 3*d + 1. Suppose 0 = -t + 4*v + 2, -2*t - 2*v - 2*v = -4. Is 15 a factor of q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363.0272 + -0.0272. Let w = -362.9 + s. What is the closest to 0.1 in -7, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + -0.04. Let w = -50 + 51. Which is the nearest to k? (a) -1\/6 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47644*w**2 - 46985 wrt w?\nAnswer: -95288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 34 = -3*x + 2, 29 = 5*q - x. Let n be (-2 + -1)\/(-2 + 1). Suppose 3*g - q = i + 8, 2*i - 1 = -n*g. Solve -3 = 2*l - g*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17801.3 - 5.89?\nAnswer: -17807.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -515.00000025675 + 515. What is q rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (-7 - (17 + 32))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(v + 0*v + 0*v) + ((0 + 0 + v)*(3 - 3 - 1) - 3*v + 0*v + v)*(0 - 4 - 4).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3 + g**2*x - 80*g**2 + g*x - 10*g - 1 wrt g?\nAnswer: -18*g + 2*x - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -252*u - 4280. Let m be h(-17). Which is the biggest value? (a) 0 (b) -2 (c) m (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3136328151 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v + 2*t - 85, -3*v + t + 97 = 0. Let d = -30 + 46. Calculate the remainder when v is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44 + 43)*(1 + -2104) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvv. Give prob of sequence vcc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-69)\/((-1656)\/160))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269425?\nAnswer: 5, 50777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-969)\/(-68))\/(-4 - 60\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + 2. Let d = -0.4 - u. Which is the nearest to -1? (a) d (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 528797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 + 3*t**2 - 12*t - 12 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 211779, 2, 1 in decreasing order.\nAnswer: 211779, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -40, -44, -48, -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -3, -4, 5 in ascending order.\nAnswer: -7, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125798 and 3534.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25410 divided by -33.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -576.980092 to 1 decimal place.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**7\/70 - n**6\/40 + n**5\/40 + n**3\/3 - 3*n. Let k(g) be the second derivative of w(g). Determine f, given that k(f) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/3 - (-8 + 3). Suppose -s*d + 19 + 23 = 0. What is the third derivative of -2*r**3 + 2*r**3 + 0*r**2 - 3*r**d - 7*r**2 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 12*i - 1. Let w be p(-12). Let o = w + 5. What is the remainder when o is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -40*t + 9. Let j = -125 - -122. Does 47 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -3, 3 in descending order.\nAnswer: 3, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*3)\/(sqrt(72)\/(sqrt(16)\/sqrt(2))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10177303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*b**2*g*k*r**2 - 9*b**2*k**2*r**2 + 2*b**2*k*r**2 - 9*b**2*r**2 - 14*g*k**2*r**2 - 11*k**2*r**2 wrt g?\nAnswer: 38*b**2*k*r**2 - 14*k**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1649551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p + 444. What is c(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 27*r**3 + 6*r**2 - 4*r + 3. Let a(h) = -27*h**3 - 7*h**2 + 4*h - 3. Let w(v) = 6*a(v) + 7*j(v). Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 16, g: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 50 = 80. Suppose -3*s = -5*s + 46. Let y = 2 - 2. Solve 5*k + 2*t - z = y, t + 8 - s = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3642)\/(-4)*-2 - (-8)\/2. Let i = -32857\/18 - n. What is the common denominator of -23\/3 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 10}. What is prob of picking 4 u?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 2*a**4 + 2*a**4 - 346*a**2 + 346*a**2 - 99*a**4 + (a**3 - a**3 - a**3)*(-a + 0*a + 2*a).\nAnswer: -101*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 11*k + 8. Suppose -29 = -2*w + 7. Let d be (-70)\/(-6) - 12\/w. Calculate the remainder when a(d) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 0 + -48 + 42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -41*h**3 - 6*h**2 + 6*h - 1. Let c be v(1). Let y be ((-156)\/c + 4)*(-28)\/(-6). Let l be (-8)\/(-36)*15\/4. What is the biggest value in l, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = 3. Let a be (-16)\/z*(-15)\/(-6)*-2. What is the tens digit of (-30)\/a*(-40)\/(-12)*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 7\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149543314 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 + 4 - -2)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 2*t**2 - 668*t + 5*t**4 + 668*t to the form o*t**3 + b*t**2 + m*t + f*t**4 + h and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 27) + 13 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -8*z**3\/3 + 16*z. Let i(h) = 2*h. Determine i(y(m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.8652 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/900 - t**5\/6 - 26*t**4\/15 - 316*t**3\/45 + 2*t**2 - 55*t. Determine f, given that m(f) = 0.\nAnswer: -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t - 5. Let a be k(-4). Let w(v) = -v**3 + 3*v**2 + 3*v + 4. Let u be w(4). Let c = u - a. Is 4\/3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 19933*d\/3 + 379088\/3.\nAnswer: -(d - 19)*(d + 19952)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2\/41, 0.3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19182899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.53 + 28824.\nAnswer: 28819.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 4, h: 5, l: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85564\/105 + -4074\/5. What is the nearest to 2\/3 in -38, a, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 467*w - 12000 = -5962 + 10075 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106742 and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (6\/2)\/(6\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207183 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 13 + 3, 3*m + 5*s = -13. Calculate the common denominator of (781\/11)\/(m*3) and 5\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 89 - 89.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:42 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4414597635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 47 = j - 3*p, 5*j - 60 = 4*p. Suppose -6*u = -2*u + 2*g - 8, 5*g = -4*u + j. What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:58 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, 2*i - 10 = -2*i + 2*k. Solve 3*y + i = 4*p, -y = 2*y - 3*p + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 128*m**2 + 557*m + 21381. Determine j(122).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -556, -13, 2\/7 in decreasing order.\nAnswer: 2\/7, -13, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 632 + -197. Suppose 36 = -3*q + o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 9692*m**2 - 4828*m**2 - 4841*m**2)*(0 + 0 + 1)*(-5*m + 6*m - 3*m) in the form a*m**3 + u + r*m**2 + p*m and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4 or -637\/13721?\nAnswer: -637\/13721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/(-5)*(-5)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpbavbrrvvrvrra. Give prob of picking 3 v and 1 b.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k + 5*k + k - 4*k + (1 - 3 + 1)*(4*k + 2*k + 13*k))*(-29 + 49 - 24).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 5*v**2 - 3*v - 3. Let h be n(-5). Suppose 0*m - 192 = -2*m. Calculate the highest common factor of m and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96301314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:06 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.84 from 1.8.\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1005 = 13*j + 360. Let i = 52 - j. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + 4*u + 1. Let g be t(-3). Suppose g*l - 12 = 16. Let i(x) = -4*x**2 - 13*x + 17*x - l*x. Let h(q) = 4*q**2. Give h(i(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*k + 379350 = 195*k. What is the remainder when k is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/81)\/(4\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 44. Let l = 2 - -2. Sort l, -4, y in decreasing order.\nAnswer: l, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose 3*y + g + 7 = 0. Let k be 1*(2 + -3) + y. Sort k, 0, -2 in ascending order.\nAnswer: k, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + c - 2. Let s be n(1). Let i be (s + -1 + 4)\/2. Suppose i = -5*g - 3*g + 600. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 + 12\/10 - (-6532)\/710. Solve 147 - 177 = h*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7851 - 4359. What is the smallest common multiple of j and 36?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10568441?\nAnswer: 13, 17, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-63)*3)\/(12210\/(-2772))\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6596535 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18669765 and -73\/885?\nAnswer: 1101516135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/44 and 61\/18430176.\nAnswer: 202731936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*a + 9. Let k be 1237\/(-5835)*((-24)\/(-21) + -1). Let n = 2\/1167 + k. Is a at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 2, q: 1, o: 14}. Give prob of picking 1 q, 1 l, and 1 o.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103119 is divided by 375.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25797 + 25803. Calculate the smallest common multiple of 1464 and g.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1\/6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2771 - 2771. Solve 4*x + 3*q + 11 = v, -5*x + 2*q - 16 = 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-12 - 2 - -10) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-123 - (-52 + 26 - -33))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344.2 + -344. Let m be -2 + (-22)\/(-8) + 1\/(-2). Let y = -0.8 - -0.5. What is the nearest to i in y, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001677 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 133*b - 87*b to the form q*b + y and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 528303500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4355 + 2?\nAnswer: 4357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(448) + sqrt(448) + -3 - sqrt(448)))**2 + (sqrt(112) + (1 + sqrt(112))*3)**2 + sqrt(112).\nAnswer: 4*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 + 367 = 62*v. Which is the third biggest value? (a) -1\/5 (b) -3 (c) -1\/2 (d) v (e) -0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -747662711 + -1?\nAnswer: -747662712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/225 and -19\/2650.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1165603 = -3*j, 2*o - 584928 = -j - 1750527. Round o to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9661870600 to the nearest one million.\nAnswer: -9662000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((228\/18)\/(-19))\/(4\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/45)\/((-4)\/4944). Let l = 1438 - r. List the prime factors of l.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 9*a**2 + 6*a + 2. What is n(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g + 5*c, -2*c = -3*g - 6*c + 2. Let i be 2\/(g - 3\/2). Find the third derivative of i*s**2 - s**3 + s**3 + s**2 + 6*s**3 wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*h**3 + 0*h + 6\/13*h**2 + 0.\nAnswer: 2*h**2*(h + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 11) in base 16?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26986*q**2 - 31123*q wrt q?\nAnswer: -53972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v + 12. Let k be (111\/v)\/(4\/16). Suppose -7*j + k = -2*j + 4*t, t = 2*j - 7. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19*y**3 - 4*y**2 + 4*y. Let q(m) = 210*m**3 - 45*m**2 + 45*m. Calculate 45*f(v) - 4*q(v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17d11 + 22?\nAnswer: -17ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25974356 or -0.6?\nAnswer: 25974356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85005.23 centuries to years.\nAnswer: 8500523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpefmp. Give prob of sequence pez.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4 - 44. Let d(t) = 7*t**3 - 11*t**2 - 2*t - 15. Let f(u) = 3*u**3 - 6*u**2 - 2*u - 8. Let p(o) = 4*d(o) - 9*f(o). Does 20 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1330 + 11966\/9. Which is the closest to 0.6? (a) 3 (b) t (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 10. Let a be x(-5). Let p be (-2)\/9*-48 - (-4)\/(-6). What is the highest common divisor of a and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/38)\/(-3)*(-3536)\/(-30940))\/((-2)\/(-30)).\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 69713500*f + 139426980 = 0 for f.\nAnswer: -13942698, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1198059924 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 2*v + 129 = -2*r + 89, r + 69*v - 135 = 560 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.729 + -4.729. Let m be 1 - (6\/10 + 0). Put -0.5, m, p, -2 in decreasing order.\nAnswer: p, m, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*j = -29*j - 15*j + 65*j + 1820 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 - 15*u + 26. Let b(x) = -15*x**2 - 45*x + 77. Let k(d) = -4*b(d) + 11*h(d). What is the units digit of k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983937 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: Which is the nearest to -2? (a) 3 (b) -3 (c) 1048592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -243385 (base 12) to base 14\nAnswer: -113965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(26)\/sqrt(2) + 3 - sqrt(91)\/(sqrt(7)*3)))**2.\nAnswer: 52*sqrt(13) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 + 7)*(24*q - 47*q - 109*q).\nAnswer: -1188*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 15317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-3*(-4)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:10 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 383994*x - 1151970. Calculate d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -1.06. Let u = 0.4 + -0.69. Let s = u + 0.09. Which is the nearest to h? (a) 3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:47 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -12307*l**4\/4 - 9682*l**3\/3 + 11486. What is the third derivative of a(z) wrt z?\nAnswer: -73842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 3*d)*(-44 + 27*d + 44) + (-3*d**2 + 0*d**2 + 2*d**2)*(-4 + 2 + 5).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 + 674*n**3 - 476*n wrt n.\nAnswer: 20*n**3 + 4044*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1019\/858 - -3\/143. Is 0 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -226*h**4 - h**2 + 0*h**2 - 186*h**4 + 0*h**4 + 0*h**4 + 11*h**4 + h**3 - h**4 - h**3 + (-h**4 + 5*h**4 - 5*h**4)*(3 - 3 + 2) + 0*h**4 + 4*h**4 - 5*h**4.\nAnswer: -405*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 236.5. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -32, -1, -18 in increasing order.\nAnswer: -32, -18, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 12033716803.\nAnswer: 12033716802.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 50, 86, 104, 98?\n\"Answer: -b**3 + 55*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {l: 2, t: 1, m: 4, e: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3261*i - 3263*i - 5*v = 30, -3*v + 105 = -7*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -203\/4, 1, 0.4, -5 in increasing order.\nAnswer: -203\/4, -5, -9\/2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32) - (-10)\/24)\/((-78)\/3159)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v + 289*v - 67773 = -977*v - 425*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -83984320 = -83984320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10268 and 342516.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.61405 to 1 decimal place.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Solve -n + 16 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 126 = -9*l, l + 26 - 12 = 4*g for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/18 + 19*l**2\/3 + 425*l\/2 - 6157. Find p, given that t(p) = 0.\nAnswer: -51, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l, l + 64 = -0*p + 3*p. What is the remainder when 13 - (-1012)\/(-77) - 1557\/(-21) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -29.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1199\/705 + 63\/470. Find the common denominator of o and -87\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2163*-1.2.\nAnswer: 2595.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*k**2 + 1708 - 38*k**2 - 26*k**2 - 35*k**2 as i + z*k + j*k**2 and give i.\nAnswer: 1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 21\/40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) + 26\/(-6). Let v(n) = -n**2 + n - 1. Let x(i) = -i**2 + 7*i + 2. Let r(d) = -2*v(d) + x(d). What is the remainder when r(o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 - 34*n - 10. Let m be r(-8). Let j = 127 + m. What is the lowest common multiple of j and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 k when three letters picked without replacement from {x: 4, r: 2, g: 1, b: 1, k: 3, n: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08392213897 to four dps.\nAnswer: 0.0839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 693 - 2769\/4. Which is the second smallest value? (a) n (b) 1\/5 (c) -2\/9 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-36)*2*((-91)\/(-12))\/(-13)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/3 + 195044*z**3\/3 + 3170115146*z**2 - 19021276012*z\/3 + 9510735529\/3 = 0.\nAnswer: -97523, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 715444830 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = -2*u + m, -3*m = -3. Suppose -60 = -4*o - u. Suppose -6*d + 129 = o. Which is smaller: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1407 and 2602446?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14802 and -20460.\nAnswer: -35262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2125.872 decades?\nAnswer: 255104.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - -0.12. Sort f, -4\/7, -7, -4 in descending order.\nAnswer: f, -4\/7, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15973\/5 or -1811?\nAnswer: 15973\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -14 + -2 + -30 - 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 2, g: 1, n: 1, e: 1, a: 2}. Give prob of picking 2 a and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1182 divide 825110156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*k + 42 + 178. Suppose 0*g = 2*g + 6. Put 21, k, g, -4 in increasing order.\nAnswer: -4, g, k, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1248 by -208.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let f(k) = -k**2 + k + 1. Let b(u) = 4*u**2 - 2*u - 2. Let y(o) = h*b(o) + 7*f(o). Let t be y(-2). Solve 5*z + l = -16 - t, -2*z = -3*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 138*u**3 + 1635*u**2 + 4524*u.\nAnswer: 3*u*(u + 4)*(u + 13)*(u + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**13)\/b**(1\/2))\/(b*b**(1\/7)*b**(-28)) assuming b is positive.\nAnswer: b**(201\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v - 16*v + 20 - 14*v)*(-12 + 14 + 8) + (1 + 0 + 0)*(-v + 4*v - 2*v).\nAnswer: -19*v + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 + s**4\/12 - s**3\/3 + 2*s**2. Let k be i(4). What is the greatest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86736 + -375455.155.\nAnswer: -462191.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r)*(-50 - 24*r + 50) + 4*r + r**2 - 4*r + (-2*r**2 + 0*r + 0*r)*(-1 + 2 - 6).\nAnswer: 59*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-36)*(0 - 16\/28).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 - 34*w**2 + 345*w - 900 = 0. What is w?\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*56\/154)\/((-2)\/3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 52. Let l be z(-16). Let k(f) be the third derivative of 0 + 1\/240*f**5 - 1\/48*f**l + 0*f**3 + 3*f**2 + 0*f. Let k(t) = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -m, -10*m + 6*m + 4*r = -80. Calculate the highest common divisor of 253 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 <= 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6824160 and -121\/284340?\nAnswer: 6824160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:04 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*n + 19 - 13 - 6*n wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a factor of 31086549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 25*f - 132. Calculate r(-29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = x + 251, 2*p + 4*x = 186. Let s(m) = -m**2 - m**2 + 44*m + p*m. Let u(i) = 2*i**2. What is s(u(y))?\nAnswer: -8*y**4 + 258*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 356?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 2*i**2 - 2*i**2 + (-12 - 12*i + 12)*(i**2 - 10*i**2 + 7*i**2).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 2*w**4 + 2*w**4)*(-2*w + w - w) + (1 + 6*w**2 - 4*w**2 - 3)*(7*w**3 - w**2 + w**2).\nAnswer: 12*w**5 - 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -611711*a**4 + a**2 + 213258 wrt a.\nAnswer: -14681064*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 59*u - 3. Let n be p(-8). Suppose 6*g - 8*g = 3*b - 99, 5*b = 4*g - n. What is the remainder when 177 is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f - 15. Let n = -4 + 2. Sort -1, f, n in increasing order.\nAnswer: f, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9749530.\nAnswer: 2, 5, 7, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -14, -83, -210, -413, -710, -1119, -1658?\nAnswer: -2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 11*n + 48630 = -114638. List the prime factors of n.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:43 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022120001 - -122?\nAnswer: 21022120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 110*w**2\/9 - 344*w\/9 - 232\/9.\nAnswer: 2*(w - 58)*(w + 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 763724980 to the nearest one hundred thousand.\nAnswer: 763700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 4*r - 3. Let t be x(-4). Let c = 8 + t. Suppose 0*k + k - 21 = 3*l, -2*k + c*l = -37. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1862*l. Let p(j) be the first derivative of j**2 - 2843. What is p(o(b))?\nAnswer: -3724*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*b**4 + 3\/5*b**5 + 0*b + 0*b**2 - 9\/5*b**3 + 0.\nAnswer: 3*b**3*(b - 1)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*q + 125*q**3 + 97*q + (-4*q + 4*q - 2*q)*(155*q**2 - 91*q + 91*q).\nAnswer: -185*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 134*t - 16*t**2 - 136*t in the form q*t + r + y*t**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-210)\/(-3*4\/(-12)). Let u = n - -1255\/6. Let a(g) = g**2 - 4*g - 6. Let q be a(5). Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -3\/4 (c) 58 (d) -110 (e) -0.5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 3*j + 8*j + 7555777805*j**2 - 7555777805*j**2 - 2*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**2*m**3*o + c**2*m*o - 118*c**2*m + m**3 - 2*m**2*o wrt m.\nAnswer: 138*c**2*m*o + 6*m - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(162))\/(2*sqrt(9)*2))\/(-6*sqrt(108)\/(1*sqrt(48))).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 76 = 8*v. Calculate the remainder when v is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 83\/2. Which is the closest to 2\/3? (a) 1\/4 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -3. Let t(n) = -n**2 - 9*n + 9. Let o be t(-9). Suppose 0 = -a*k + o + 1. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 = 2*l + 4*k - 425, 0 = -4*l + 169*k - 1352 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)\/((-1 - -12) + -10). Solve -6*h = -c*h - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/5)\/(8\/(-20))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6000 and 11290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21209.\nAnswer: 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 1}. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74907.5 kilometers?\nAnswer: 74907500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:00 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.885439 years in millennia?\nAnswer: 0.007885439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -11, -30, -55, -86, -123?\n\"Answer: -3*w**2 - 4*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 8*o**2 - 12*o - 4. Let f be x(3). Solve 5 = 85*r - f*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 13*u**4\/24 - 2*u**3\/3 - u**2\/2 + 46*u + 290. Let j(y) be the second derivative of w(y). What is j(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36103 > 36103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 2:01 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 2. Let y(r) = 74*r**2 + 36*r + 6. Suppose -36 = -2*f - 30. Let i(b) = f*g(b) + y(b). Find the second derivative of i(q) wrt q.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 + 6*t - 3. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 180183?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 443 by 2.\nAnswer: 443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -14, -5, 12, 37, 70, 111?\n\"Answer: 4*i**2 - 11*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184.9036 + 0.0964. Is r less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13\/4, -44897, 0.5?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - 3) - 14 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377779?\nAnswer: 377779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 585*b**2 + 3 + 582*b**2 - 1 - 3 - 1117*b**2 as j*b**2 + r*b + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 9*p**2 - 5*p - 2. Suppose 3*c + 9 = -18. Is k(c) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130465899 to the power of 1\/2, to the nearest integer?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*12\/(-80)*5. Find the third derivative of -49*b**2 + d*b**4 + 18*b**5 + 5*b**4 - 34*b**5 + 10*b**5 wrt b.\nAnswer: -360*b**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/12*2*(-1)\/20. What is the nearest to -5 in 10, y, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -2*sqrt(1216) + sqrt(1216) + 3 - 6*(-3 + (2*sqrt(1216) + sqrt(1216))*6))**2.\nAnswer: -40112*sqrt(19) + 14447825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23*y + 13. Let q be j(-7). Suppose 0*w = -2*w + q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soi when three letters picked without replacement from imsosm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36181441 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242) + sqrt(242) + -2 + 3)**2 - ((sqrt(162) + sqrt(162)*2)*5)**2.\nAnswer: -34271 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/8*8976\/87516*(60*-5)\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7))**15*((x\/x**(-4))\/x)**(-2))**8 assuming x is positive.\nAnswer: x**(-328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c76b37 - 6?\nAnswer: -c76b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3098717908?\nAnswer: 2, 11, 13, 17, 223, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let r = n + -1. Let j = 90.9 - 91. Which is greater: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -0.5. Let s = 0.5 + c. Let g = -12 + s. What is the second smallest value in -1, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -98, -14, -4, 0, 12.\nAnswer: -98, -14, -4, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6915\nAnswer: 1\/6915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z**3 + 0*z + (-3*z**3 + 2*z**3 + 0*z**3)*(-2 - 6 + 4) - 4*z**3 + 147*z**3 + 190*z**3.\nAnswer: 335*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 7*x - 5. Let t be h(-7). Let i = t - -8. Suppose i*p - 22 = p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/839 and 33.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12256 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -33*d**6\/2 - 3*d**2\/2 - 6*d - 14. Find the second derivative of c(j) wrt j.\nAnswer: -1980*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 167\/(-1336)*(-96)\/3. Suppose 0 = -v - 4*v - 5. Let z = v + 1. Solve n + z*a - 10 = 4*a, -3*n - a + c = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.016 + -0.569. Let j = 0.947 - d. Which is the second smallest value? (a) j (b) 4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*m - 182*m + 16*m - 1 - 183*m in the form n*m + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10391 is divided by 514?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, w: 2, r: 4, d: 5, p: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/716 and 16\/4907643.\nAnswer: 19630572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5824661243?\nAnswer: 23, 253246141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11129, 22270, 33415, 44564, 55717?\nAnswer: 66874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -945*i**3 + 4*i**2 + 2*i + 4. Let s(c) = -942*c**3 + 5*c**2 + 2*c + 5. What is 5*o(g) - 4*s(g)?\nAnswer: -957*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from ukkuemueekumeeu.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -291 (b) -1\/11 (c) -21 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 51 + 17*n - 13 - 19*n.\nAnswer: -2*n + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 77*l**2 - 17*l + l**3 + 78*l**2 - 76. What is p(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 12 - 1707688*n**2 + 1707688*n**2.\nAnswer: -7*n**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*k - 42 = 6*x, 4*k = 4*x + 36. Let h = x - -14. Suppose 3*v - h*v = -3. Solve 2 = i - 3*j + v, 0 = 3*j - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3199\/3 - -1083. Let c = p + -17. Let x = -5\/9 - c. Is -1 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3888 - 37488 = 4*l. What is l rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33022358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-8))**37 assuming j is positive.\nAnswer: j**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 1 = -3*s + y, -5*s = y - 49. Let p(u) = 1 + 15*u - 34*u**3 + 64*u**3 - 8*u**2 - 2*u - 29*u**3. Let d be p(6). Is s greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -9*r + 1535. Calculate the remainder when r is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.7953533 and -0.37?\nAnswer: 2.4253533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 0, 2*d - 4*i + i = 1290. Suppose 6*b - 975 = d. Calculate the remainder when b is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(76)*3)\/(sqrt(144)*1 - sqrt(4) - sqrt(28)\/sqrt(112)) + -2)**2.\nAnswer: 96*sqrt(19)\/19 + 652\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2 + 4 + 7*t - 3*t**2 - 2*t**2 - t**3. Let f be c(-6). Suppose 0*n - 3*n + 12 = f. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 17596496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 35. Let b be j(13). Suppose -p = p - 5*h - 105, 0 = 2*h + 6. Calculate the highest common factor of p and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6684, 26486, 59192, 104562, 162356, 232334, 314256?\nAnswer: 407882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.541 + -0.241. Sort 0.26, k, 1\/3 in descending order.\nAnswer: 1\/3, k, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21143*g + 21145*g - 20 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2*w + 2*w)*(2*w + 3*w - 7*w) + (4*w - 2*w - 3*w)*(-4*w + 4*w + 2*w) as s*w + b + q*w**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3 - 0 - -1). Suppose 1 = -r*w - p, -24 = -2*w + p + 3*p. Suppose -4 = g - 5*i, 0 = -2*g - 0*g + 3*i + 6. Solve g - 2 = -w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-6) - -1) + (-2)\/6. Suppose 16*u = s*u - 119. Let t(x) = -12*x + 67. Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 8680800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7 - 5 - 137*u + 3 in the form r*u + t and give r.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 24164?\nAnswer: 5\/24164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 8*n + 45*n - 14*n + 25 - 11*n.\nAnswer: 4*n + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(40)\/sqrt(2) + sqrt(20) - sqrt(20))*-3 - (((sqrt(5) + -1)*5)**2 + 1 + sqrt(10)\/sqrt(2))*3.\nAnswer: -444 + 141*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 722713\/76748 + -2\/57561. Calculate the common denominator of (-348)\/(-25056)*(0 - -2 - -212) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*w - 19128 - 3648 = 1344*w + 1034 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t - 5*y + 2, -8 = -2*y. Let d = 33 - 96. Let l = 68 + d. Which is the nearest to t? (a) l (b) -2\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 15*k**3 + 3*k**2 + 7*k - 19. Is 11 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1892\/5 + -378. Put -1.7, 0.3, l, -0.1 in increasing order.\nAnswer: -1.7, -0.1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 205 (b) -1413 (c) 6 (d) -1 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 19, w: 1}. What is prob of picking 1 w and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let t = -0.1 - -0.1. Let b = t + r. Which is greater: b or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Suppose -4*z + 39 = 3*v, -v + z = 3*v - 33. Let d(t) = -v*t + 2*t + 5*t. Give k(d(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17184171 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 366*p**2 + 1863*p - 2971. Calculate r(371).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 25165580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18504, 18502, 18498, 18492, 18484?\nAnswer: 18474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 47. Suppose 7*x - 2*x = -15, -a + c = -2*x. Is (1563\/12)\/(a\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 - -8 - 15)) + 15 + -1 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-49) + (-34)\/(-14). Suppose 2*x - l*j - 57 = 39, -2*j + 129 = 3*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13107 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, 28, 5\/4, 5, 0.2.\nAnswer: 0.2, 2\/9, 5\/4, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 560*j + 555*j = -20, -3*p + j - 18 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - u**2 + 2*u**2 - 1190 - u + u**2.\nAnswer: 7*u**2 - u - 1190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 18*y**2 - 14*y - 49. Let c be i(17). Solve -16*p + 14 = -c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*d**3 - 10101*d - 829298 wrt d?\nAnswer: 99*d**2 - 10101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.3. Let x = -0.18 + -3.82. What is the smallest value in x, -0.5, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175828 and 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104186006 to the nearest integer?\nAnswer: 10207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*r - 152, -r + 99 + 111 = -5*n. Let q = -38 - n. Calculate the remainder when 13 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*x - 8 = 6*x, 4*j - 3*x - 4 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let b = 266 + -213. Suppose o*p - 5*m - 101 = b, -2*m - 4 = 0. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 39*v - 2. Suppose 3*j - 15 = -2*j. Is 22 a factor of d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*c + 46 - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 45*s, -3*o + 6*o = -4*s - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10872 = 2*c + 3*c + 2*p, c + 2172 = 2*p. Let u = -385 - c. Suppose 3*k - u = -2*b, -2*b - 2*b + 3*k + 3551 = 0. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 4*(-2)\/(-8) + 1. Let b(i) = 1 + 2 + t*i - 3*i - 4. Let y(u) = 5*u - 2. Suppose -5*k + 3*j - 6 = 5*j, 5*k = -5*j. Calculate k*y(n) + 3*b(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.146 + 0.546. Sort 0, 4, x, 3 in ascending order.\nAnswer: 0, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -m + 2*h, 14*h = 13*h - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 12, 36, 70, 114, 168, 232?\n\"Answer: 5*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 0*o)*(-9053*o + 16 + 9000*o + 38).\nAnswer: 106*o**2 - 108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)\/u)**5\/(u\/((u\/(u\/(u*(u\/(u**5*u))\/u)))\/u)*u*u*u\/(u\/u**(-2\/13))))\/(u**(-1)\/u*u\/u**4*u*u)**(-21) assuming u is positive.\nAnswer: u**(-999\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1705\/732 - -1\/244. Let b = -3 + 4. Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, 3\/5, 167\/3, 2\/9 in descending order.\nAnswer: 167\/3, 3\/5, 2\/9, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let i(w) be the second derivative of 29*w**5\/20 + 29*w**2 - 5*w + 1. Let n(y) be the first derivative of i(y). Determine a(n(g)).\nAnswer: 7569*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 19)\/((-1)\/(-9)*90).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 16) in base 12?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(7) + -1).\nAnswer: 5*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.047 - 0.361. Let a = -0.31211 - h. Round a to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -622, -940, -1260?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-3 - -5))*0. Suppose h = 2*a + 2*a - 8. Suppose 5*v = a*v + 30. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1. Let a(c) = 18*c + 22. Let g(t) = -a(t) + 6*x(t). Let o be g(-2). Which is greater: 56\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d + d)*(1 - 3 + 1) - 2*d - 2*d + 2*d + (-20*d - 138*d + 9*d)*(3 - 3 + 2)*(3 + 0 - 4) + 68*d + 69*d - 46*d as a + n*d and give n.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 284, -3\/13, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 264, 3, -1, 9, 45.\nAnswer: -1, 0.05, 3, 9, 45, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 268 (b) -1 (c) -2\/13 (d) -0.4 (e) -3959\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3515.\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qemgm. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(((-846)\/(-1410))\/(66\/(-20)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 2. Let o(a) = 10 + 0 - 3 - 3 + a**c - 5*a. Calculate o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2\/7 + 6882*b\/7 + 25272 = 0.\nAnswer: -2268, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q - 1\/2*q**2 - 7 + 0*q**3 + 0*q**4 + 0*q**5 + q**6. Find the second derivative of y(m) wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**2 - c**2 - c**2 + 2*c**4 + c**4 - 4*c**4 + (2*c**3 - c**3 + c**3)*(-11 + c + 11).\nAnswer: -c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348.5 and -50583?\nAnswer: 17628175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 74. Let n(t) = -10*t - 67. Calculate the remainder when n(w) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-8253)\/(-12))\/(2\/(-8)). Suppose 309 + p = 6*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -17. Let i = 566 + -592. Let w = i - z. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1)\/(sqrt(10) - sqrt(360)*1 - sqrt(10)) - (sqrt(4)\/sqrt(2) + -1 + -1)*5)**2.\nAnswer: -90*sqrt(2) + 281\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.59 - -401.41. Let j = p - 431. Which is the third smallest value? (a) -2\/13 (b) -4 (c) j (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 89. What are the prime factors of q?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 76 = 3*s, 3*b = 5*s - b - 131. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 20*t**2 + t - 1. Let f be h(3). Let j = -914\/5 + f. Put j, -3, -2 in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:09 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-33)*-1*3. Let c be (-1)\/3 - (-42)\/(-9). Sort c, -2, u.\nAnswer: c, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*x + 10 = 0, -3*x - 5 = 10. Let n be (-4)\/10*(-1)\/(-12)*10. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 15*u, -5*h + 13*u + 1765 - 1633 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 5*i - 25. Let f be (2 - (3 + -7)) + -4. Suppose 2*q + 33 = 5*b, -f*b + 3 = 2*q + 1. Solve b = -2*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + t - t + (-1 - 3 - 1)*(-2*t**3 + t**3 - 2*t**3) + 586*t - 2*t**3 - 312*t - 387*t in the form b*t + k + x*t**3 + j*t**2 and give b.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c - 48*c - 40*c.\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94, -183, -270, -355, -438?\n\"Answer: p**2 - 92*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3603 - -3612. Solve -5*r + a = -8*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214683 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d**2 + 25*d + 9. Determine v(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23452*t + 2*t**2 - 11709*t - 11743*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1431244*2.\nAnswer: 2862488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 40 = -9*d. Let x be (d\/6)\/(4\/24). Calculate the highest common factor of x and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(13\/(-11) - 22\/(-121)). Suppose o = -6*b + 13. Find the second derivative of b*w**4 - 23*w**4 + 29*w + 2*w**4 + 59*w**4 wrt w.\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 + -1010?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 1\/3 (c) -2\/13 (d) 1.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*2\/(-8)*3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -43, -75, -113, -157?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196086.4799975 + -196087. Let d = 2.2 + -1.68. Let v = i + d. What is v rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(256)\/sqrt(8))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 + 6*t + 2. Let q be y(6). What is the second derivative of -4*c**3 + 25*c - 29*c + q*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n**3 + n**2 + n**3 - 2*n**2 + 3 to l*n**2 + f*n**3 + k*n + w and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15004\/(-7161))\/(6\/7). Are -3 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5 - 1257*y**4 + 109719*y**3 + 4845825*y**2 - 15491250*y = 0.\nAnswer: -34, 0, 3, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/((2\/(-5))\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 18*z + 35*z + 29*z - 80*z. Let a(n) = -25*n - 16*n + 12*n**2 + 41*n. Give p(a(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 334*n**2\/5 - 2416*n\/5 - 696.\nAnswer: 2*(n - 174)*(n + 2)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 5*t**2 + 8*t + 8. Let x(c) = -2*c**3 - 3*c**2 + 5*c + 5. Let v = 4 + -5. Let d be -8*(0 + v)*-1. Calculate d*x(a) + 5*o(a).\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 719\/6 - 120. Calculate the common denominator of r and 3\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 + 10*f + 7. Calculate w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 6251\/2908 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 1\/7 (c) 2\/9 (d) -164 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98980*b*p + 11284*p - 3 with respect to b.\nAnswer: 98980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/7*(-21)\/12. Is 4 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - h - 9. Let o be n(-5). What is the greatest common factor of o and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 59, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 40*c**2\/9 + 218*c\/9 + 20.\nAnswer: 2*(c + 1)*(c + 9)*(c + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(1 + -4 + 0). Let n be (-5 + 1)\/(6\/(-3)). Let c be (n\/(-3))\/((-6)\/d). Is c not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/81*-15 - 25\/(-75)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265193*x - 265713*x + 530904*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1445 - -1441. What is the smallest value in -1, 108\/29, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 0*h**2 - 2*h**2)*(9 - 2*h - 9)*(7*h - 36 + 36) in the form a + f*h**2 + t*h**3 + g*h + y*h**4 and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 1, d: 1, o: 1, k: 1, j: 1}. Give prob of sequence bkee.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21863 is divided by 3018?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 243841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 747, -11 in decreasing order.\nAnswer: 747, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, -39449007, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1014 - 10187*o + 1010 - 3040 + 1016 + 144825*o)*(2*o + 4 - 4).\nAnswer: 269276*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 27 = -10*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 divided by 403?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1549 divided by 1\nAnswer: -1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -2.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*z - 68*z - 737*z**2 + 126*z.\nAnswer: -737*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(((-112)\/3)\/7)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (210\/(-560))\/((-6)\/4) - 18286\/(-8). Solve 6 = o*h - 2284*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11591 is divided by 1513.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 5046*v**2 - 34984*v + 603840.\nAnswer: -2*(v - 8)*(v + 15)*(v + 2516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 2 + 0*f**4 + 0*f + 0*f**3 + 0*f**2 - 6\/5*f**5 - 3\/2*f**6. Suppose w(d) = 0. What is d?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 - 184. Solve 3*w - i - 13 = 0, x*i + 21 + 14 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*t + 194, 2*t - 2*l - 67 = 3*l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2982.42 * -207.\nAnswer: -617360.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(91) + (sqrt(91) - sqrt(91)*1)) - (sqrt(91) - sqrt(91)*2*-2))\/((4*2*sqrt(70))\/sqrt(10))*5)**2.\nAnswer: 39325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122645428 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)*(s\/(s\/(s**(1\/5)*s))*s)\/s*s*s)**(-41) assuming s is positive.\nAnswer: s**(-5494\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3463 divided by 1\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42016 - 11.09.\nAnswer: -10.66984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2895 less than or equal to -13878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -15. Let n = -49 - d. Suppose n = 3*o - 42 + 42. Which is bigger: -1\/25 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 10\/9 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k**2. Let g(n) = -n**2. Let b = 45 + -17. Determine b*g(v) - 2*r(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1.3, -14.78, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8140*c**3 + 17254*c**2 + 2 wrt c?\nAnswer: -48840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*b + s, -2*b = -139*s + 137*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 2*s**2 - 5*s - 2. Let g be (-3)\/(-2*(-6)\/(-16)). What is the units digit of b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - 56. Let b be (-2)\/7 - t\/105. Determine w so that -2\/5*w**4 + 4\/5*w**2 - b - 2\/5*w**5 - 2\/5*w + 4\/5*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -18 (c) 0.28 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*h + 20*h - 1125 - 1132 + 3379 - 1122.\nAnswer: -707*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w, m + 5 = -w + 14. What is the units digit of (-7)\/49 + 204\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 q when three letters picked without replacement from gbqgbqpbqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.403763 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 607 and 4566461?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75812 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4683740 to the nearest ten thousand.\nAnswer: 4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -46*f**5\/5 + f**2\/2 - 82*f + 189. What is the second derivative of u(q) wrt q?\nAnswer: -552*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)\/(h**(-1)\/h*h))\/(h*h\/h**(-1\/2))**15 assuming h is positive.\nAnswer: h**(-655\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/36 and -73\/1864638.\nAnswer: 3729276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-7\/4))*g)\/g**(15\/2)*((g*g**(-16))\/g)\/g**(-2\/13))**(-1\/61) assuming g is positive.\nAnswer: g**(1071\/3172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8020 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -156024789 divided by -2559\nAnswer: 60971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28070 + 57841. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-10)\/8)*-4. Suppose 0 = 4*a - c*v + 7, a - 5*v + 7 = 1. Let y(l) = 0*l**3 + 0*l**3 - l**3. What is y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304948287 a multiple of 3606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 248622912.42 rounded to the nearest 10000?\nAnswer: 248620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 465, 449, 397, 303, 161, -35?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4*m + 15*c**2*m**2 - c**2 - 3*m**2 + 102*m wrt c?\nAnswer: -4*c**3*m + 30*c*m**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825432 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9277 divided by -2\nAnswer: 9277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*h + 2*o + 6 = 794*h, -2*h - 2*o - 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614385 is divided by 1897?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56705\/767 - 9081\/59. Let j = t - -228. Let x be 2\/(-9) - (-64)\/1584. What is the second smallest value in x, j, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13809450\/13 or 1062264?\nAnswer: 1062264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022122212112 (base 3) to base 8.\nAnswer: 10604700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26309 - 40*r - 13150 - 13159.\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/((-135)\/(-18)) - 4. Which is the closest to z? (a) 0 (b) -2\/9 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 11 - (2 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 413, 243, -35, -421, -915, -1517, -2227?\n\"Answer: -54*y**2 - 8*y + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1162 - 2286. Let f = 2377 + x. Let n(y) = -18*y - 1253 + f. Give n(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10918 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -32\/15 (c) -2\/45 (d) -28\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 6*s + (0 + 0 - 2)*(-5*s + 4*s - s))*(10*s**4 + 5*s**4 + 12*s**4) + (-2*s**2 + s**4 + 2*s**2)*(4*s + 3*s - 4*s).\nAnswer: 57*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 23*q**2 + 3*q + 3. Let w(k) = -47*k**2 - 7*k - 7. Let z(a) = -a**3 - 2*a**2 + 5*a + 3. Let h be z(-3). Calculate h*w(m) - 7*u(m).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**3\/3 - 4*r**2 + 6*r - 15. Let j be t(5). Suppose 12*g + 24 = j*g. Solve g = -k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, q: 3, e: 5, b: 1}. What is prob of picking 1 u, 1 q, and 1 e?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693*q = 1699*q - 3382*q + 70 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 equal to 15\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1127 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose n = v - 1. Let f be v*45 + 5 + -8. What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-7)*c*c**(-10)*(c**(3\/2)*c)\/(c\/(c*c**6\/c*c)) assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597935376.\nAnswer: 2, 3, 4152329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 131826.3 to the nearest 1000.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22 - -6.22. Let j = -116 - -115. What is the closest to j in 2, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 41*h - 40*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*((sqrt(13) + 2)*3 + 3*sqrt(52)\/sqrt(4)))**2.\nAnswer: 2592*sqrt(13) + 18146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*b = 310*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 3*a**4\/4 - 23*a**3 + 93*a**2 - 120*a - 1343. Suppose m(d) = 0. What is d?\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4\/12 + (-34)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 - 3*t + 1. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(7\/2)\/z)\/z**(-1\/2))\/(z*z**(-1))**(1\/7) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 6.03. Let n = -20 - h. Let t = n + 26.0067. Round t to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*(-102)\/45*(3 + 120) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44304304 + -3241?\nAnswer: -44311545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19689306.\nAnswer: 2, 3, 7, 13, 36061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266*l + 300*l + 314*l + 314*l to the form y + r*l and give r.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b**2 + b + 233. Let a be f(0). Let t = a - 137. Suppose 0 = -3*o + 3*u + 81, -4*o + t = 2*u - 3*u. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 2:10 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.746127 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.4, 4, 767 in increasing order.\nAnswer: -3, -0.4, 1, 4, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161311390*b**4 - 40816240*b.\nAnswer: 1935736680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/120 + x**5\/10 + 13*x**4\/24 - 5*x**3\/2 + 23*x**2. What is the tens digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4905 divided by -4?\nAnswer: 4905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -2.1. Let r = 1083703\/11455 + -12\/2291. Let v = 95 - r. What is the closest to v in -1, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/4 in 28564, 3\/4, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6522206, -6522332, -6522460, -6522590, -6522722?\nAnswer: -6522856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*f - 38, 4*t - 62 = -212*f + 207*f. What is the least common multiple of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 21 - (5 + -4). Suppose -s - p = -4*s. Suppose -m - 14 = 5*q, 0 = 5*m + 2*q - s*q - 80. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/(4\/(-42)). Let s = u - 8. What is the third smallest value in s, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, -5.\nAnswer: -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -81969552 less than -81969551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -584 + 8762\/15. Which is the closest to -0.1? (a) 1\/9 (b) -3 (c) q (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnn. What is prob of picking 1 n and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 41 + 130*p + 12 - 25 - 133*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 27*t - 242. What is the remainder when 137 is divided by n(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -173 in ascending order.\nAnswer: -173, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -h. Let m = 22 + h. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -947\/6392 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-4)**2*-5 + (1 + sqrt(1377))*-4 + 4.\nAnswer: -110160 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + 360\/100 + -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n - 63*n + 39*n - 102 + 3.\nAnswer: -n - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.313*-1.3.\nAnswer: 0.4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 5 (b) 0 (c) 988 (d) -20 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 575660 divided by 6\nAnswer: 287830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 - 27*y**3\/5 + 18*y**2\/5 + 48*y\/5.\nAnswer: 3*y*(y - 8)*(y - 2)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(18\/7)\/o**(1\/6)*o**(-5\/6)*o**11)**(3\/19) assuming o is positive.\nAnswer: o**(264\/133)","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: What are the prime factors of 560105021?\nAnswer: 7, 227, 352489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:34 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 942249762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5583 is divided by 79?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1170545*m**5 + m**2 - 19135*m - 4 wrt m.\nAnswer: 70232700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {r: 10, x: 1, b: 7}.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -q. Suppose -z - 2*a + 25 + 167 = q, z - 2*a - 172 = 0. What is the lowest common multiple of z and 18?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 - 4*y**3 + 0*y**3 + y + y - 22 in the form x*y**2 + o*y + d*y**3 + v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/6 + 5*m\/6 + 7\/3 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + 6.52. Let g = q - 5. Let y = g - 1.59905. What is y rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -95926494 and -19.\nAnswer: -95926513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3601065 - 5?\nAnswer: -3601103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4\/3 - 8*r**3\/3 + 23*r**2 - 76*r\/3 + 20\/3 = 0 for r.\nAnswer: -5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2. Let c(r) = -7896*r + 278. What is c(s(h))?\nAnswer: -47376*h**2 + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-60)*12*(-2)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 34 + -27 - (-1 - (-3 + 15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(495)*5)\/sqrt(11) + -1)**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -21. Let x(g) be the second derivative of 4*g**2 + 1\/12*g**4 + 3\/2*g**3 + 30*g - 2. What is x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 6 - -8) + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 62435625.\nAnswer: 312178125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 1 - 4*d + 0*d + 9*d. What is the units digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2 - 31*o - 2. Let l(i) be the third derivative of 0*i + 16 - 1\/60*i**5 + 0*i**4 + 0*i**3 + 9*i**2. What is l(u(x))?\nAnswer: -961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b6418 (base 12) to base 8\nAnswer: 722724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 - 5*v - v**2 - 2*v**3 + v**3 + 5 + 2*v**2. Let a be w(5). Suppose -58 = -a*b + 37. Calculate the remainder when 55 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j + 3. Let q(p) = -5 - 4*p - 4*p + p + 20. Let m(r) = 8*r - 14. Let s(v) = -7*m(v) - 6*q(v). Give 11*n(g) - 4*s(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29693 is divided by 201?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -6) + (-5)\/(-1). Let z(l) = -l**3 + 7*l**2 - 5*l. Let y be z(a). Suppose 0 = -y*s + s + 20. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 4*z**3 - 4*z**3 - 2*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/5)\/5*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/42 + (-6)\/20\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*w = -15, -4*z - 3 = -4*w + 3*w. Suppose 0 = 5*s - z*s - 15. Suppose s*c = c + 26. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*4*(-7)\/168. What is the remainder when 47 is divided by (-2 - (w - -2))*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/315 and -17\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 155 * -0.43\nAnswer: -66.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from clcgcclcccclccccgc.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -89151934742 + 0.027\nAnswer: -89151934741.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = 68*m - 230 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from ttjjjjjj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 3*v**2 + 4*v + 4. Let w be r(-4). Suppose 0 = -2*h + w + 2. Suppose 5*m + u = 4*u + 231, 0 = h*m - 4*u - 143. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let s = 1 - w. Suppose -s*h + 51 = -0*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540900726.\nAnswer: 2, 3, 90150121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - ((sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3) + sqrt(3))**2) + ((sqrt(21) + 3*sqrt(21))\/sqrt(7) - sqrt(3)).\nAnswer: sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704665 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 2. Let t(h) = -2*h + 5*h - 1 - 4*h. Let r be t(-3). What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6*(-194)\/1552. What is the biggest value in 0.1, -722, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(3 + -6*-6*(4*-2*sqrt(72)*-3 + 2))**2.\nAnswer: -215013348 - 3110400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:20 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let n = 306\/67 - 1262\/335. Which is the smallest value? (a) w (b) -6\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 11 in decreasing order.\nAnswer: 19, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9155 + -9075. Calculate the lowest common multiple of 3 and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/381 + 124\/1143. Which is the closest to -2\/3? (a) -0.02 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87988 + -50207. List the prime factors of y.\nAnswer: 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17841 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 + (-297)\/(-42) + -6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141\/3527413 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z - 61*z + 53*z.\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/42)\/((-106555)\/(-1515)).\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 2, 0 = -2*z + 5*i + 23. Let t = -10 - -13. Suppose t*c - 127 + 23 = -z*f, -4*c = 2*f - 132. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*n**4 - 8649*n**2 - 2*n - 7961466.\nAnswer: -492*n**2 - 17298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 7\/110*z**5 + 0 + 0*z + 3\/22*z**4 + 2\/165*z**6 + 1\/1155*z**7 - 46*z**2 + 0*z**3. Factor a(b).\nAnswer: 2*b*(b + 2)*(b + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)\/(-6 - -7). Which is the second biggest value? (a) 1\/3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -692555 - 36331.737.\nAnswer: -728886.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 22*o - 8*o - 7*o - 2*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqvvqiqvcqq. What is prob of sequence vqqv?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/(732\/(-186) - -4). Let y = -394 + l. Suppose -4*m = -0*m - y. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2872 + 5377. List the prime factors of m.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2690 + -1735. What is x rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -79. Let v = 8 + n. Suppose 0 = -j - 0*j + v*d + 9096, -36398 = -4*j + d. Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 3. Let x(o) be the first derivative of o**2\/2 - 3. Determine t(u) - 4*x(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/435 and 173\/38280.\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 2920*p + 22 - 202*p to y + n*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*m + 139 + 269, 4*m + 411 = 3*y. Let b = -90 + y. Suppose -3*s = -2*p + 1, 12 + b = 5*p + 3*s. Which is greater: 10 or p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11634499 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from {a: 3, w: 1, u: 1, v: 1, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643491748.\nAnswer: 2, 410872937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 68*x. Let y(s) = 65*s**2 - 4*s - 1. What is k(y(a))?\nAnswer: 4420*a**2 - 272*a - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 9*a**2 - 5*a - 4. Let t be k(8). Suppose 0 = 2*w - 6*w. Let x(s) = 8*s - 36. Let f be x(5). Solve w*z + t = -f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*t - 20, 4*t - 2 = -p - 1. Solve -p*l + 16 = -3*s, 0*l = l - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 162 + d10?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3925 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000358948833 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-252)\/(-8)) - (-312)\/14. What is the greatest common divisor of k and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:56 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**3 - 15*m**2 + 9*m - 9. Let s be 2\/3 - 80\/(-24). Let a(o) = -3*o**3 - 7*o**2 + 4*o - 4. Give s*v(d) - 9*a(d).\nAnswer: -d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 194*d + 3. Let t(v) = -195*v - 2. Let s(a) = -4*t(a) - 3*w(a). What are the prime factors of s(1)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (-2)\/((-20)\/70). Let c(d) be the third derivative of d**6\/120 - d**5\/12 - d**4\/24 - d**3\/6 - d**2. Determine c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28575201 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u - 28. Is r(17) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4569 divided by -4334\nAnswer: -4569\/4334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248790 and 32610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8591.0955 to the nearest one hundred.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.02, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m**3*w**2 - 218*m**3 - 36*m**2*w**2 + 24*m**2 wrt m.\nAnswer: -42*w**2 - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 21*l**2 + 1371*l + 17. Let q be w(49). Let b = 1 - -2. Sort b, -5, 0, q.\nAnswer: q, -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998615 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -10*g, 0*i + 503*g - 3 = -2*i + 506*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/8*((-1 - 0) + -307). Let g = a + -569. What is the remainder when 1078 is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350220.\nAnswer: 2, 5, 67511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -782, -738, -684, -614, -522, -402, -248, -54?\n\"Answer: g**3 - g**2 + 40*g - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252942 and 14163.\nAnswer: 1194139182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13291763.\nAnswer: 173, 76831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4*v - 6*v + 0*v.\nAnswer: -2*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -20. Let j be (-3)\/(2 + 4)*-8. Suppose -a - j*a = -d. Calculate the highest common factor of a and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*m - 2*m - 214 = 0, 4*h - 163 = -5*m. Let r = h - 24. Let w = 75 - r. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(9\/6*(-30)\/45)*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 - (-1 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2519*r**2 - 2*r + 0*r + 2*r.\nAnswer: 2519*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(7488) - sqrt(7488)*-4) + sqrt(7488))\/(sqrt(4) + (sqrt(72)\/sqrt(6))\/sqrt(3) + sqrt(4))*-1)*-3)**2.\nAnswer: -432*sqrt(13) + 67401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**7\/126 + 8*x**6\/9 + 19*x**5\/15 - 121*x**4\/18 - 397*x**3\/18 - 79*x**2\/3 - 341*x + 1. Let u(w) = 0. What is w?\nAnswer: -79, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 times 0.7?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814*w**3 + 9814*w**3 + 9506*w**3.\nAnswer: 18506*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10772806 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63450 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 77 = 3*b. Let f = b - 9. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*h + 4*h. Let d be 1\/((-2)\/(-10)) - -1. Let x = d - h. Let z(b) = -2*b - 1. Let g(i) = i. Give x*z(t) - 4*g(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -487*a + 3409. Give k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 587*a - 41106. Calculate p(81).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1150 = -3*b, 5810 = 5*a + 82*b - 85*b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2850.4*482.\nAnswer: 1373892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f**2 - 3*f**2)*(-171 - 287 - 150).\nAnswer: -608*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17874 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*y**2 + 195*y**2 + 156*y**2.\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 57948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659842?\nAnswer: 2, 359, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85.56 + 85. Let v = i + 2.56. Let g = -138 + 2348\/17. Are v and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -6, -0.05, 2\/3, -485\/6, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**5 + 137*s - 10. Let z(w) = -9*w**5 - 136*w + 8. Let l(r) = 4*i(r) + 5*z(r). Find the second derivative of l(j) wrt j.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**5 + y**5 + 0*y**5)*(-16 + 24 - 15) + 3*y**5 - 5*y**5 - 2*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22557485.1 minus 1.49?\nAnswer: 22557483.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -s + 4, -3*s + 8 = 4*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5\/36 (c) -145\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -25027183772\nAnswer: 25027183772.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-64)\/24 + (-25)\/75. Suppose -b = b - 10. Let k = 17 + b. Calculate the greatest common divisor of k and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -200 in 3, -0.1, -2\/7, -41\/9?\nAnswer: -41\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 48*w + 12090. Determine v(-252).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -11*w + 53, 5*w - 12*s + 3*s = -8*s + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22450358183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 122*f**2 - 1046*f - 466. What is j(-130)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 21 = 3*s - 1, -x = -2*s. Suppose 5*v - x*v = 0. Suppose v = 3*y - 1 - 35. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3488 + 8528 - 515)*(3*z**4 + 4*z**4 - 5*z**4) in the form k*z**2 + u*z + s*z**4 + q + h*z**3 and give s.\nAnswer: 9050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8359*z - 108706. What is h(-13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = -15, -h = -3*p - 43. Let r be p\/12*(-3)\/1. Let z(o) = 3*o**2 + 0 + 4*o - o**3 - 2 - 4. What is z(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 692*r + 23. Let t(l) = -l**2 - 116*l - 4. Calculate 34*t(o) + 6*w(o).\nAnswer: 2*o**2 + 208*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 0 - (6 + (-5624)\/1140)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20479619 and -20479618 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 18312624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (87 - 3)\/4. Let d(a) = -a**3 - 15*a**2 - 5*a - 36. What is the tens digit of d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**3 + 2*n**2 + 27*n - 64. Determine d(2).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/15695 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334813 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -857390 - 62?\nAnswer: -857442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.23 - 13. Let h = j - 0.53. Let s be -1 - 4\/(-26) - -1. Put s, h, -1\/2 in decreasing order.\nAnswer: s, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10228 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45096*a**4 - 2*a + 208920 wrt a?\nAnswer: 180384*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76828*o**3 - 9*o**2 + 14*o**2 + 76891*o**3 - 5*o**2.\nAnswer: 63*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 36, 88, 164, 264, 388, 536?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 6:38 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 128, -3, 3, 0, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 46*f**2 + 5*f + 1. Is 21 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-5)\/(15\/102). Let i = -16 + s. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10047, -20102, -30157?\nAnswer: -40212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50498983 to the nearest integer?\nAnswer: 7106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16dcb30 (base 14) to base 6.\nAnswer: -1042001114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 41, 13, -15?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m - 6. Let i be 5*(-9)\/(90\/(-14)). Let u(r) = -9*r + 6. Let o(l) = -11*l + 7. Let p(h) = i*u(h) - 6*o(h). What is p(c(q))?\nAnswer: -51*q - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 3*w**2 + w**5 + 3*w**5 + (-4*w**2 + 4*w**2 - 2*w**2)*(-3*w**3 + 0*w**3 + 5*w**3) + 0*w + 2*w**5 + 0*w.\nAnswer: 4*w**5 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.58627 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 41. Solve p*f + 9 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*g + 2*g + 67, -5*q - g = -313. Let n(b) = -b. Let t be n(-9). Calculate the greatest common divisor of t and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -191 + 145 - ((40 - -7) + -21)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25078 - -23237. Put -2, 2, l in decreasing order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -3*s + j*y + 12 = s, 3*y + 8 = 4*s. Suppose -5*v + 27 = 4*z, 0*v = s*v - 15. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70440 is divided by 118.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1583 - -0.09\nAnswer: 1583.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5\/13, 1, 3\/2, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 7*w**4\/4 - 34*w. Let u(d) = -3*d**2 + 2*d**2 + d**2 - d**2. What is u(c(i))?\nAnswer: -441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (207\/115)\/(3\/5). Solve -5*t + 2*b = 14, 0 = 7*t - 3*t + u*b + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/48 and 157\/1974.\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 1)*(-1 - 5 + 3)*(-16912*x + 16912*x - 883*x**4) to g*x + u + q*x**4 + n*x**2 + b*x**3 and give q.\nAnswer: 2649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 14) to base 5\nAnswer: -11331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*w - 2604*w + 1011*w + (-1 + 2*w + 1)*(1 + 2 + 1).\nAnswer: -1713*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 60*t + 255. What is the tens digit of y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2)*((-144130)\/(-319))\/(-355)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 1:48 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/19)\/n*n**(2\/7) assuming n is positive.\nAnswer: n**(-81\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 141774?\nAnswer: 141774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 109*u - 114*u - o, 5*u = 2*o - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 585745267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 19 (b) 343388 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*p + 8*p**3 + 36*p)*(4*p - 2*p + 0*p).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1347 - -2876. Does 115 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -6, 0.06, -4 in decreasing order.\nAnswer: 0.3, 0.06, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2005 + 223?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -497, -5, -88 in ascending order.\nAnswer: -497, -88, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(77)*4 + sqrt(77))*-2)\/(sqrt(525)\/sqrt(3)))**2 + 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-13.611\nAnswer: 1.49721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 8*d**2 + 8*d + 9. Determine o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -13 - 15) + (0 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 748 = -218*i - 296 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*i + 108*i + 98*i.\nAnswer: 112*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(1\/(-6))\/(7\/(-63)). Suppose 0*y = -y - 5*l + 6, -k*y = l + 24. Suppose -p - 4*p - 45 = 0. Is y at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*c - 28 = -5, 11 = -2*d - 3*c. Let v(g) = -2*g - 2. Let h be v(-8). Find the third derivative of -126*k**5 + 103*k**5 + 7*k**2 + h*k**d wrt k.\nAnswer: -1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 16) to base 4.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-23)\/(-805))\/((-11)\/132))\/(-2)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9846 is divided by 5466?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13502, 13511, 13528, 13553, 13586?\n\"Answer: 4*v**2 - 3*v + 13501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1557*h + 688. Let i(w) = -4676*w - 2068. Let x(m) = -10*d(m) - 3*i(m). Differentiate x(l) with respect to l.\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/10)\/((-336)\/(-480)) - 7. Sort 3.3, y, -2, 33 in decreasing order.\nAnswer: 33, 3.3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, 4, -7.\nAnswer: -7, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 15*p**2 + 5*p - 456. Give k(-14).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-16))\/((-480)\/167680*-131)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-1 - -49) + (189 + -178 - (1 + 1)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*d + 244*d + 640*d + (1 + 0 - 2)*(2 - d - 2))*(0 - 3 + 0).\nAnswer: -2115*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33863215 + -33863416.00347. Let i = 44.2 - -156.8. Let l = i + c. Round l to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608031 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 + 3*w + 5460. Let u be a(0). Suppose -2*l + 7*l = -2*f + 6797, -4*f = -4*l + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + w = 3*w + 4, -5*i = -4*w - 8. Suppose 2*y = -i - 2. What is the remainder when y\/4 - (-370)\/8 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*c = 10 + 27, -25*g = 247*c - 248*c - 171 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/3103893 and -15\/300662?\nAnswer: 105532362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 + 3*v - 14*v**2 - 3*v. Suppose -2*y + 29 = 4*k + 11, -5*k + 12 = -y. Let r(t) = -2*t + t + y*t. Determine r(z(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 4. Let z = -11 - h. Suppose -n - 3*n = z. What is the nearest to 0 in -3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 29*p**2 + 12*p + 52. Let l be n(-33). Suppose -45514 - l = -2*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from {t: 3, y: 5, p: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11942 is divided by 175.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 13*r + 7. Calculate k(6).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - -137. Suppose 898 = 5*y - 5*h + i, 530 = 4*y + 2*h. Calculate the greatest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z - 2. Let o be h(3). Let f = -25 + 36. Let l = o + f. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349*o - 1205 wrt o.\nAnswer: -349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -2305?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7106, -6572, -6038, -5504?\nAnswer: -4970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15)*2*45\/(-108).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j - 13*j + 0*j)*(5*j**3 - 4*j**3 + 0*j**3).\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 1. Let a(u) = u**2 + 43*u - 26. Let d(j) = -2*a(j) + 18*l(j). Determine s, given that d(s) = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 1 + -5 - (23 + -9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*a + 8, 2*m - 5 + 3 = -4*a. Suppose -o = -5*d - 362, 0 = 2*o - m*d + 5*d - 712. What is the remainder when o is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)*-1)\/(5*sqrt(9)\/sqrt(3)) + (5*(-5 + -2*sqrt(304) - sqrt(304)))**2.\nAnswer: 14997*sqrt(19)\/5 + 69025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 568 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k - 16. Let t = k + 11. Let v = -8 - -24. Solve 5*m - 3*u - t = 2, 0 = 4*m + 2*u - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 11*t + 8*t in the form n*t + f and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/5 - 12*x**3\/5 - 69*x**2 - 222*x\/5 + 1872\/5 = 0. What is x?\nAnswer: -8, -3, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3491?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**3 - 3*n**2 - 15*n + 39. Let f(z) = -11*z**3 + 4*z**2 + 23*z - 58. Calculate -5*f(l) - 7*r(l).\nAnswer: -l**3 + l**2 - 10*l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74783637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-5*((6*(sqrt(30) - sqrt(30)*2))\/(sqrt(36)\/sqrt(6)*5))**2 + -1).\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o - 64*o - 12 = 0. Suppose -134 = -18*n + 226. Let w(x) = -x**2 - 9*x + 2. Let u be w(-9). Solve n = u*b - o*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 1. Let z be s(-3). Suppose 0 = -3*q - 0*q - 2*n - 50, -4*n = -5*q - 120. Let i be q\/(-2)*8\/z. Solve i*j + 6 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 7*u - 7 = 61, 2*d + 33 = -3*u for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 1 = -2*c - 7, c - 8 = -5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(1\/2)*l))**(-1\/25)\/((l**(-4)*l)\/l**(-2\/5)) assuming l is positive.\nAnswer: l**(133\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321.5 + -58.9. What is i rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 13172590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -2\/7 (c) -2\/3 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 414*l**2 - 2859*l + 2468. Calculate z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + 13 + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322317 = -72*b + 328797 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -41, 1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870860 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16344 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2535 and 371670?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 899811475 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372944 is divided by 996.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 67 = 25*h + 48*h + 367 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 58*g + 56*g - 108*g + 21 + 5. Let v(j) be the second derivative of -j**3\/6 - 5*j**2\/2 + 2*j. Give -2*k(b) - 11*v(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 143*z - 7353. What is the least common multiple of k(62) and 1?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3\/2 - 18231*n**2\/2 + 1067319*n\/2 - 1049085\/2 = 0.\nAnswer: -6135, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-9))\/((-185)\/(-141)). Let q = b + -2\/185. What is the second biggest value in 4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (-1*sqrt(125)*-6 - sqrt(125)))**2 + (-2*sqrt(20))\/sqrt(4) + 2.\nAnswer: -2*sqrt(5) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182725920 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyuyy. What is prob of picking 2 u and 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -23*f**4 + 17*f**2 - 38. Let v(m) = 8*m**4 - 6*m**2 + 13. Let a(u) = 6*d(u) + 17*v(u). Differentiate a(n) with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -106, -58 in ascending order.\nAnswer: -106, -58, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 2. Let o(t) = -4*t + 2. Let p(y) = 3*o(y) + 2*z(y). Let h = -5 - -3. Let x be p(h). Solve 4*s - 2*s = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 + 1 = 0. Suppose 216463 + 239159 = r*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 1 + 1)*(4 - 3 + 1 + 11*k) to i + c*k + u*k**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7821 divided by 4.\nAnswer: -7821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 138?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*f - 5*q, 5*f + q = 3 - 20. Let l(b) = 4 + 2*b + b**3 + b + 3*b**2 + b. Determine l(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3.143 in ascending order.\nAnswer: -4, -3.143, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63325 and 7599?\nAnswer: 189975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -332024045 divided by 5\nAnswer: -66404809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2166416 and 696?\nAnswer: 6499248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -74 + 8. Suppose h*z**2 + 2*z**4 - 2*z**3 - 32*z**2 - 3*z**4 + 2*z = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1111\/(10\/40*-2). Let f = -200 - t. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b15 (base 14) in base 7?\nAnswer: 31225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 51*o - 1541. Give s(21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {l: 8, w: 2, m: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -5*a, a = -16*y + 13*y + 6. Suppose -a*p + 8 - 23 = 0, p + 29 = 3*z. Solve -r + 3 - z = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10977\/5? (a) 1\/5 (b) -0.4 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378679 is divided by 268?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30 - 826\/28)\/((-4)\/(-294)). Which is the nearest to 0.1? (a) 0 (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -106*y + 1081. Calculate z(9).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 0.04?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -9*r**5 + 6*r**4 + 57*r**3 + 18*r**2 = 0.\nAnswer: -2, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*y - 53*y - 19*y - 68*y)*(-1 + 1 + 3) as a*y + q and give a.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 16, -5, 82, 3.95, 1 in ascending order.\nAnswer: -5, -3\/5, 1, 3.95, 16, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:04 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t - 159 - 630 - 940 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*6*sqrt(7)*-1*5*-4*-4)**2.\nAnswer: 40320003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.51 - -65.557. Let c = r - 0.047. What is the second smallest value in c, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/q**0)**(-2\/65))**(-1\/9))**(-37))**(6\/19) assuming q is positive.\nAnswer: q**(-296\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9350 and 13090?\nAnswer: 65450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, m: 1, k: 2, f: 7}. Give prob of picking 1 n and 2 f.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*v - 164*v - 36*v - 106*v**4 + 2*v**2 - 149*v - 1 wrt v?\nAnswer: -1272*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/5)\/((-11)\/55). Let h(w) = -w**2 - 17*w - 4. Let x be h(g). Solve 1 = -u - 0*u + 2*v, -x = -4*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.37 - 1.43. Put -2, 5, l, -4 in ascending order.\nAnswer: -4, l, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 105\/135 - (-2)\/(-6). Find o, given that v*o**3 - 8\/9 + 0*o + 2*o**2 - 2\/3*o**4 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)*z*z)**(2\/9)*((z\/z**7*z)\/z)\/(z\/(z*z**(-10))))**(-1\/28) assuming z is positive.\nAnswer: z**(314\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321 - 1?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1178 - -8248\/7. Let o = 0.9 + 0.1. Suppose 0 = k + 2*k + 15. What is the closest to v in -0.3, o, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10)*15\/(-6). What is y in 2*y - 3*y + 6*y**3 + 3*y - 2*y**4 - 6*y**t = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35599?\nAnswer: 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 359*h**8\/336 + 70*h**4 + 2*h**2 + 53. Find the second derivative of l(n) wrt n.\nAnswer: 7180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*f + 12*b - 15*b, 2*f = 2*b + 28. Suppose -3*u - u = -24. Calculate the least common multiple of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5935.\nAnswer: 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Let a(m) = -71*m + 1149. Let y be a(12). Suppose 5*k - y = 3*q, -5*q - 418 + 113 = -c*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*g - 2)*(2 - 25*g + 25*g + 3*g**4).\nAnswer: -12*g**5 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55204722381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -3383\/36. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41017438 and 1232?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u + 10. Let t(z) = -7*z + 2. Calculate t(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - c - 4. Let u(y) = -3*y**2 + 2*y + 5. Suppose -32 = 5*p + 4*k, -p - 3*k = 4*p + 29. Let i(q) = p*a(q) - 3*u(q). Give i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -867000 to the nearest 10000.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.55 + -0.85. Sort -33, 1, c.\nAnswer: -33, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561.70031 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 5*h - 1. Let d be c(-5). Suppose 5*t - 141 = 2*x, -132 = 3*t - 8*t - x. Let z = t - d. Solve z*m = -2*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4109 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 21*z**2 - 27*z + 11. Let a be m(17). Let t = a + -5753\/8. Calculate the common denominator of 87\/38 and t.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55143 and 2160603.\nAnswer: 23766633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4245 - -2?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 766150 to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5454*q + 16376. What is v(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9028812?\nAnswer: 2, 3, 13, 31, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 15. Let w(r) = 7*r + 18. Calculate the remainder when w(4) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -4. Calculate the common denominator of -3 + (-2)\/d*77 and -1 + 49\/9 + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -4 - -4)*-1*1. Suppose 2*j = -p - 2, -2*r - j + 9 = 0. Suppose r*f = -3*n + 888, -5*f - n - n + 892 = 0. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -67865*k**3 - 7600870*k**2 - 22190735*k + 3270 = 0.\nAnswer: -109, -3, 2\/13573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.051 and -2514125.\nAnswer: 128220.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-708 + 708 - 166*a**3)*(-3*a + a**2 + 3*a) + (-a**4 + 5*a**4 + a**4)*(a - 2*a + 3*a).\nAnswer: -156*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1. Let g = 4.094602 + -0.094602. Which is the fourth smallest value? (a) -4 (b) -51 (c) n (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -1 (b) -5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5, -7*b - 13 = 4*n - 48 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 - d + 1. Let a(u) = 4*u**3 + 9*u**2 + 6*u - 6. Let v(z) = a(z) + 3*k(z). What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 2*q - 6 = 0, -4*l - 2*q - 4 = 0. Let w be (3 + -6 - 1)\/(l\/2). Solve -2 - 2 = -w*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 35*h + 411. Give c(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/3 (c) -4 (d) 0.1 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332593 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = l - 16, -2*l - 76 = -b - 72 - 23 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 - 6. Suppose -o + 4*l = 15, 0 = l - 3 - 0. Put -2, o, k in increasing order.\nAnswer: k, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 91 = 5*w. Suppose 48 = -12*y + w*y. Calculate the lowest common multiple of 60 and y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -289055\/8 at most as big as -36133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5814 and 0.35.\nAnswer: -2034.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 38 - 38 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2053 at most -2043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + o + 1. Let g be i(4). Suppose -5*s + 4*b = -172, -s + g*b - b + 44 = 0. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/206 - 50\/103. What is the fourth biggest value in 1\/6, 3\/2, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/8 - 11*v**3\/2 - 35*v**2\/2 - 43. Let j(g) be the second derivative of z(g). Differentiate j(a) with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r, -198 + 34 = -4*a - 2*r. Suppose -35 = -5*s + 25. Calculate the lowest common multiple of a and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k - 552. Let g be y(60). Let l(o) = -2*o**3 + 2*o + 8. Let z be l(-4). What is the greatest common factor of g and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 869*i**2\/2 - 450120*i + 83254050.\nAnswer: (i - 330)**2*(i + 1529)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 28 = -8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 139*b.\nAnswer: -139*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.486 + -1.486. Which is the nearest to 1\/3? (a) y (b) 27 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.438194 rounded to 2 decimal places?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221.4 * 1.\nAnswer: -221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19888 at least as big as -19936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 38.96. Let f = -0.04 - b. Let a = -180 + 1262\/7. What is the nearest to a in f, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 + 123. Which is bigger: 127 or n?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5 - 4*v + v + 2*v. Let c be d(-6). Solve 0 = 2*i + c - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-270)\/180)\/((-54)\/(-8)). What is the nearest to -0.1 in -0.02, q, 2, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 464, 939, 1418, 1901?\n\"Answer: 2*v**2 + 469*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131\/5 + -27. Let b = -0.24 + -0.06. Let s = -0.2 - b. Put 0.5, x, s in decreasing order.\nAnswer: 0.5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 4, 1, -203, -7 in increasing order.\nAnswer: -203, -114, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45152.9 - -1.2?\nAnswer: -45151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v. Suppose 16 = 4*c - v. Suppose -x + c*x - 18 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*n + 6, -5*n + 15 = -2*l - 3*l. Let v be (l + 2)\/((160\/12)\/8). Which is the second biggest value? (a) -2\/7 (b) 0.4 (c) v (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 + 228. What is the highest common factor of 74 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-6)*33\/(-22). Let w = k - -38. Suppose 0 = -4*y + 3*x - w, -4*x + 13 = -y + 2. Let j(s) = -2*s - 7. Give j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155488477?\nAnswer: 17, 9146381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13503 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18006578957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4, -184883*i - 83 = -184886*i - 23*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llkhk. Give prob of sequence hkl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 3*p - 6, -2*o = 3*p - 22. Suppose -122 - 68 = -o*m. Suppose -4*g = 2 - m. Solve 3 = -g*u + 4*u - 3*y, 3 = -3*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**4 - 7*x**4 + 30*x**4 + (2*x - 4*x + 4*x)*(0*x**2 + 0*x**2 - 2*x**3) to the form i + w*x**2 + p*x + u*x**4 + k*x**3 and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 5*n + 26, -n = -3*q + 92. Let h(b) = -b - 31 - b + q. Let l(s) = 10*s + 1. Let k(a) = a + 1. Let o(x) = -3*k(x) + l(x). Determine o(h(d)).\nAnswer: -14*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17f0 (base 16) in base 3?\nAnswer: 22101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520600 divided by -2?\nAnswer: -260300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v - 2*j - 2 = 91*v, 0 = 4*v + 7*j + 51 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 96, 85, 98, 141, 220, 341, 510, 733?\n\"Answer: f**3 + 6*f**2 - 36*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 35. Let g(i) = -k*i + 11 - 22 + 7. Is 8 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 812154*l**2 + 82449671040*l - 82448858888 = 0. What is l?\nAnswer: 1, 203038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2*x**3 + 18*x**2 - x**3 - x**4 - 20*x**2 + 4*x to the form w*x**4 + n*x**3 + f*x**2 + l + s*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 400, 387, 366, 337?\n\"Answer: -4*g**2 - g + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*y + 493 = 0, -4*s + 2128 = 5*y + 169. Let r = s + -493. Which is smaller: 3.86 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b + 5*s, -6*b + 3*s + 21 = -b. Suppose -5*u - b = 2. Let n(i) = 4*i**3 - i - 1. What is n(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n + 174 - 43 + 1837 = -1582 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:04 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12)**(-36\/7) assuming m is positive.\nAnswer: m**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -729, -1456, -2183, -2910?\n\"Answer: -727*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*p - 1 - 29 = 0, 3*k + p - 27 = 0. Suppose 0*m + 2*m = k, 2*h - 80 = -2*m. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*-4*sqrt(192))**2 - 2*(2 + (sqrt(192) - (sqrt(192) + 3))).\nAnswer: 110594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/840 + 7*x**6\/360 - x**5\/15 - x**4\/3 + 28*x**3\/3 + 61*x**2. Let o(w) be the first derivative of i(w). What is o(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255393655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14451 or 14454?\nAnswer: 14451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 13 = 0. Calculate the remainder when 42*4\/28*6 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.04. Let h(m) = -11*m + 85. Let t be h(7). Suppose 8*u + t*u = 80. What is the second smallest value in u, -3, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 9*a + 7. Let l be i(9). Which is smaller: l or 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3401 divide 561878589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-19197)\/(-1422))\/(1\/(-2))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -19 + (70 - 46)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 32 = -2*f - 4*y, 5*f = 2*y + 109. Let c be -3*(f\/(-9))\/(-1). Let k = -5 - c. Solve 4*l + 8 = -k*n, 2*l + 2 = -5*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 0, 9492 in increasing order.\nAnswer: 0, 1, 10, 9492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 3)*(-2 + 0 + 0) + 1 + 1 + 0 - 15 - 3 + 64 - 7 - 12 + 4)*(0 + 0 + w) as u*w + y and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 96*d**5\/5 + 5*d**4\/4 - 211*d**3 + 1190. Find the third derivative of z(u) wrt u.\nAnswer: 2304*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 618\/39 + 4 + 350\/(-91). What is the highest common divisor of y and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -1580.2, 0.5, -0.5.\nAnswer: -1580.2, -0.5, 0.16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 31 + 41. Solve -7*r + 13*r = m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 943867254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101871\/16 - 6371. What is the common denominator of 111\/28 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.292 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 3*o**5\/20 + o**4\/3 + 13*o**2. Find the second derivative of y(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 6. Let y be (16\/264*-234)\/((-4)\/22). Let a = o + y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((13 + -3)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 4 - (-6 + 2). Let w = 5 + -2. Let n be (1\/(-1))\/(w\/(-9)). Solve v = -f*j + n - 0, 0 = -v - 5*j + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -214?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24772 is divided by 210?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a factor of 1461271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.39697724 - 1.397. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67737 + 0?\nAnswer: -67737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*p + 20 = 0, -3*p + 3 = -3*x + 18. Suppose -x*b + 140 = -12*b. Is (-4014)\/15*b\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (20\/(-2) + 0). Suppose -2*u - d = -6*d, -3*u + 3*d + 9 = 0. Solve 8 = -u*y - s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 5*p**2 - 3*p + 3. Let g be l(3). Let f be g + -4 - -7 - (-6 - 22). What is the highest common divisor of f and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -525*s + 1076 + 4999 - 1350 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1656 and 151\/21456?\nAnswer: 493488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (7 - 2) + (-17 + 18 - 11 - 0)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/((-294)\/(-6)))\/((-3)\/21))\/((-151)\/4832)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*m - 94, -5*v - 6*m + 485 = -m. Suppose 0 = 2*q - v - 4. Let p = q + -31. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -2*n, -2*t + 14 = -3*n + n. Let y = 28 - 26. Solve d - 1 = -2, y*f - t = -2*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/637816 and -1\/2196.\nAnswer: 5740344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1225)*-3)\/(2*sqrt(847) + sqrt(7)).\nAnswer: -4 - 15*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.87 + -0.13. Let p = b + 2. Let w = -3 - p. Put w, 3\/2, -3\/4 in decreasing order.\nAnswer: 3\/2, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 8 + 3)*(-r**3 - r**3 + 0*r**3)*(-r - 5*r + 5*r).\nAnswer: -46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = 2*q + 4*m, 0 = -2*q + 5*m + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 17, 9, -15, -61, -135, -243, -391?\n\"Answer: -n**3 + n**2 + 6*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**11\/(q\/(q*((((q**(-4)*q)\/q)\/q)\/q)\/q*q))**(1\/22) assuming q is positive.\nAnswer: q**(239\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11355735 (base 10) to base 14.\nAnswer: 171855d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 536\/7 + -76. Suppose 0*j**2 + 2\/7 + 4\/7*j**3 - 2\/7*j**4 - h*j = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)*15\/(-105). Let g = -2 - -3. What is the fourth smallest value in 1\/5, 3, c, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7476977.\nAnswer: 457, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*d + 7. Let k(y) = 6*y + 3. Let n(z) = 13*z + 4. Let v(l) = 26*l + 7. Let u(b) = -7*n(b) + 3*v(b). Determine d*u(s) - 7*k(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589130 is divided by 4536?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1226123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 2. Let b be s(0). Let n be (6 - 3) + -1 + 2. Suppose -5*z - n = 1. Put b, z, -5 in descending order.\nAnswer: b, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*y = 4, -4*s = -4*y - y + 53. Let x(q) = -7*q**3 + q**2 - q - 4. Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02277 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 0. Let f = -3.3 - 99.7. Let g = f - -111. Which is the second biggest value? (a) -1\/4 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let a be (s + -3)\/(-1*1). Suppose a*j = 2, 0*z - j + 2 = z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 64. Let i(w) be the first derivative of -27 + w**3 - z*w**2 + 30*w**2 + w**3. What is the second derivative of i(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)*z\/z**(-19)*(z**(6\/19)*z)\/(z\/(z*z**24)))**7 assuming z is positive.\nAnswer: z**(6008\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**(-1\/11)*r)\/r))\/r)\/r)\/r**(-1\/26) assuming r is positive.\nAnswer: r**(-249\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) -0.01 (c) 3\/2 (d) -19476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*(c**(-1)\/c)\/c))**(1\/27)\/(c\/(c**4\/c))**(-19\/2) assuming c is positive.\nAnswer: c**(-511\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262*d**2 + 144*d**2 + 0 + 0.\nAnswer: -1118*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585129324 to the nearest integer?\nAnswer: 24189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7b (base 14) to base 9\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*935\/187?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 10*d**2 + 4*d + 11. What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91832.06 microseconds in nanoseconds?\nAnswer: 91832060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 8*c**2 + 9*c - 10. Let h be q(7). Let r = -4 + h. Suppose 0 = -r*n + n - 2. Solve 0 = a + 7*g - n*g - 23, -3*g = -12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -106, -196, -322, -496?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 58*x**2 + 7. Determine y(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242 + -14060542?\nAnswer: -14060300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let v(i) = -10*i - 7. Let o(g) = -v(g) - 6*y(g). Is o(13) 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 {a: 5, y: 7}. What is prob of sequence ayy?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 18 + 71)*(3*r**4 - 7*r**4 + r**4).\nAnswer: -234*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 - 2*o**2 + 192686 - 192686.\nAnswer: 16*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + 2*sqrt(200) + sqrt(200) + sqrt(200) + -3 - -5*-6*sqrt(200)*-2).\nAnswer: 6 + 640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02124*0.4.\nAnswer: 0.008496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 - 16*i + 8. Let j(p) = -2*p**2 - 2*p. Determine -4*j(m) + s(m).\nAnswer: m**2 - 8*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*o - 717, -o = -4*a + 5*a + 147. Let p = -135 - o. Let i be 2\/(-4) - (-1)\/2. Solve -3*g + p - 1 = i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18. Which is the second biggest value? (a) t (b) -1\/4 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctckcccwcwwwmwctcw. What is prob of sequence ck?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4531473.\nAnswer: 3, 347, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.8776 rounded to one dp?\nAnswer: 232.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068224.\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 4. Let j be u(-2). Let r(z) = -z**3 - z**2 - z + 3. What are the prime factors of r(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-8) - (-350)\/112*-2. Let v = -0.09 + 3.09. Let o = -4 + v. Which is the smallest value? (a) 5 (b) o (c) i (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 10. Let l be q(-8). Suppose b - 3*o - 27 = 0, 4*b - l*o = -2*o + 100. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3 + 6 - 22*g**2 - 23*g**2 + 76*g**2 - 32*g**2. Let w(z) be the third derivative of z**3\/3 - z**2. What is 6*w(s) - 4*y(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3375563*l**5 + 5401559*l?\nAnswer: 67511260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 819*j**3 + 5*j**2 - 4*j - 1. Let g be k(1). Suppose g = 4*h - 5*c + 64, 0 = -5*h + 2*c + 948. List the prime factors of h.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.57 - -22.5. What is the nearest to 0 in 1\/8, w, -1\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912)*5)\/sqrt(3).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c + 6*c**2 - 5*c**2 + 4 + c**2.\nAnswer: 2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -74*n**2. Let a be 2396\/8 - 2\/16*12. Let w(x) = -2*x - 151 + a - 147. Determine z(w(s)).\nAnswer: -296*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlrrlpny. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 - 0.38. Let y = i + 0.06. Let w = -0.2 - -0.4. What is the nearest to 0.1 in w, -0.1, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154171581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v - 3*v**3 - 2*v**2 - 4*v**3 - 7*v - 4 - v**4 + 6*v**3 to f*v**2 + u*v**4 + z + x*v + w*v**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/5*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 5*y**2 - 8*y + 11. Let t be g(6). Let v be ((-298)\/(-5))\/(t - 24\/(-20)). Round v to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506568 is divided by 96.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7239*z - 2. Suppose 13*c - 43 = -30*c. Is x(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2051*p**2 - 5792.\nAnswer: -4102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = 0, -5*a = 4*q + 12 - 130. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 15. Let l = 18 + -12. What is the remainder when l is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -747834?\nAnswer: 4\/373917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6848, 7186, 7744, 8516, 9496, 10678, 12056?\nAnswer: 13624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6447?\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 11) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 - 7*i + 2. Suppose -5*x = -2 + 12, -3*c + 14 = -4*x. Suppose 20 - 5 = 3*o, -3*j + c*o - 31 = 0. Determine s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (0 + -1 - 5) - 6) + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38607008?\nAnswer: 2, 11, 67, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 = 597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(-2 - 4 - 4)*(-24 - 2*u + 6*u - 7*u) + (3 + 1 - 3)*(-u + 2 - 2).\nAnswer: -31*u - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70150*k + 3*k**4 - 70150*k + 2 + 4*k**2 to g*k**4 + u*k**3 + f + j*k + r*k**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, i: 3}. What is prob of sequence iccc?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2331, 2404, 2495, 2610, 2755?\n\"Answer: o**3 + 3*o**2 + 57*o + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2 + (-736)\/(-4). Suppose c + 8 = 5*f. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*i**3 - 1302*i**2 - 761*i**2 + 720*i**2 + 23*i**3 wrt i?\nAnswer: 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317539427 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1860 and 2885052.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221415 (base 7) in base 4?\nAnswer: -212033020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2578191 and 25\/22?\nAnswer: 5156382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 224 + 180 - 403. Let s(o) = -2*o**3 + o + 4. Determine -2*l(a) + 2*s(a).\nAnswer: -2*a**3 + 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 - 468*m**2 + 52*m - 2. Let v(a) = -2*a**2 + a - a + a. Calculate v(o(s)).\nAnswer: -2*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4 - 40*j**3 - 32*j**2 + 40*j + 36 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -296\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/((-110)\/195)*(-28)\/6. Let a = t + 119. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7144100743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let k be r\/(-18) + (-5)\/(-6). What is the closest to -2 in -5, 2\/21, k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-7424)\/(-32)*(-8)\/(-48)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - (77 + -30) - (-1 - 29)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q + 147 = -3*o, -3*q = 5*o + 445. Let s(g) = -1878*g**2 + 87*g - 75. Let c be s(9). Is c\/q - ((-6)\/5)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 27 = -3*y, 0 = 5*z - 4*y + 16 + 33. Let t(i) = 5*i - 11. Let q(m) = m. Let p(u) = -6*q(u) + t(u). Calculate p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294080 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 330. Differentiate 43*d - 230 + h + 122 wrt d.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18)\/(-27) - (-80)\/6 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35\/6 + 7. Let n be (16\/(-8))\/1 - (-26)\/10. What is the nearest to -0.06 in -1, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*t + 542*t + 115920 = -253*t - 770*t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 9, m: 3, a: 5, y: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 - 10 = 0. Suppose 0 = 2*h + h - 5*l + 15, 0 = -2*h + m*l - 9. Suppose -2*v + 69 + 25 = h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-1)))\/r)**(-9))**(2\/29)*(r**(-5)\/r*r*r*((r*r*((r\/(r*r**(-2\/3)))\/r*r*r*r)\/r*r)\/r)\/r*r*r)\/(r**(-2))**23 assuming r is positive.\nAnswer: r**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q**2 + 935842*q + 267384 = 0 for q.\nAnswer: -2\/7, 133692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 6*w**2)*(-3*w**3 + w**3 + 0*w**3) + (-2*w**2 - 4*w + 4*w)*(-w**3 + 3*w - 3*w).\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 1. Let v(u) = u**3 + 2*u**2 - 2*u + 2. Let n be v(-3). Let h = -2 - n. Is k less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22981863*p**2 + 22981863*p**2 - 17*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-7 - -3) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 s when three letters picked without replacement from {x: 2, g: 2, s: 2, h: 1, r: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 1. Let n be l(5). Let j(v) = -v + 2. Let o(w) = -1 + 2 + 0*w + 1 - w. What is n*o(q) + 5*j(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 + 278*d + d**2 - 2*d**2 - 277*d as a*d + y*d**2 + n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 2, l: 1, t: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**4 - l**3 + l**3)*(4 - 1 + 4) + 3*l**4 - 46*l**2 + 30*l**2 + 25*l**2 as i*l**3 + q*l**4 + z + v*l**2 + c*l and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4189b + -35?\nAnswer: a41866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*u + 282110 - 282071, -4*u - 56 = 4*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97445?\nAnswer: 5, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159285060 to the nearest integer?\nAnswer: 12621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*k - 14, -5*k - 3*s = -0*k - 20. Let y = 445 - 438. What is the least common multiple of k and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 + -305. Sort 4, -37, p in decreasing order.\nAnswer: p, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from nwlmnwnnmnnnwy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(7)*-3 - -6*sqrt(7)*2) + -1)*6.\nAnswer: -24 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 12*f**2 - 7*f + 18. Give z(11).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 355765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 980 - 560. Let z = 423.07 - n. What is z rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1145, -1118, -1091, -1064, -1037, -1010?\n\"Answer: 27*l - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 2*z**2 - 2*z**2)*(z + 2*z - 5*z) to the form c*z**3 + y*z**2 + a + i*z and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48) + -4)*4 - (4 + sqrt(33)\/(2*sqrt(11)) + 4)**2.\nAnswer: -339\/4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 255*b - 250.\nAnswer: -5*(b + 1)*(b + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*a - 13*a = -680040. List the prime factors of a.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8467599 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035290045 is divided by 3904?\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -366*s - 15577. Determine y(-33).\nAnswer: -3499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.1 (c) -30181 (d) -0.2 (e) 0.03 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -3112230322?\nAnswer: -3112230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731*d - 2169036 = -767*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**3 + 7*l. Suppose -3*k + 16*k = -312. Let a be ((-18)\/4)\/(36\/k). Let z(d) = -4*d**3 + 3*d. What is a*g(f) - 7*z(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113343 + 5?\nAnswer: -113334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452609 and 7024.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) - 140\/5. Let s = b - -27. Let a = -1 + 2. Let y(r) = 2*r + 3. Let u(d) = -d**2 - 1. Calculate a*y(v) + s*u(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -169?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*g, 5*c + 153*g = 157*g - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3696 and -137\/18.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 717192 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 - 6*i**4\/5 - 2*i**3\/5 + 6*i**2\/5 = 0. Calculate i.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -84*c - 251. List the prime factors of k(-7).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -59*f**2 - 12*f + 8. Let r(t) = t - 4. Let c(g) = j(g) + 2*r(g). Find the second derivative of c(m) wrt m.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3769 - 4180 = u. Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(h**3 + 2*h - 2*h) + 0*h**3 + 5*h**3 - 4*h**3 + h**2 - h**2 - h**3)*(-4*h**2 - 5 + 5).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4526.50634 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + -1)*4\/(-12). Find the first derivative of 4*a + 0 + y*a + 9 wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4)\/(-10) + 240792\/395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5758383.\nAnswer: 3, 1919461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 1)*(2 - 2 - 4*u)*(0 - 2 + 5*u - 15*u) to g*u + m*u**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 16)\/(-3) + -3)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:34 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5. Let r = -3226\/31 - -180563\/1736. Which is the second biggest value? (a) r (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 218*a - 79*a - 14158 + 3316. Suppose 2*o = -0*o + 16. What is the remainder when a is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:27 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f + 7. Let h be c(5). Suppose 4*u = 4*j - h, 12 = 3*u + 3*j + j. Suppose -3*z + 1 + 2 = u. Does 1 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165589 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/7 - 1745490*a\/7 - 761683835025\/7.\nAnswer: -(a + 872745)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169850*n*p - 644464*p wrt n?\nAnswer: 169850*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s. Let b(y) = -3*y - 4. Let x(i) = b(i) + 3*p(i). Let u(d) = 8*d**2 - 18*d - 11. Let f(j) = -4*u(j) + 11*x(j). Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 69a?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 3*a, -4*v + 3 = 2*a - 15. Suppose 0 = -v*q + 16 + 23. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843178 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 213\/234 + (1053\/(-507) - 8\/(-4))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 8. Suppose 0 = -5*i + 3*u + n, 6 = 5*i - 2*u - 6. Suppose 0 = i*j - 5*l - 32, 3*j - 35 = -0*j + l. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/6)*y**(3\/11)\/y*(y\/(y\/y**18))\/y*((y\/y**20)\/y)\/y assuming y is positive.\nAnswer: y**(-389\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 267829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0665 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 62 = -1836. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107629*m*n**4 + 62*m*n - m + 20*n**5 - 3*n - 157 wrt n?\nAnswer: -1291548*m*n**2 + 400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73320694*g**4 - 936*g**2 + 1992*g - 2?\nAnswer: 1759696656*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12311, -12316, -12321, -12326, -12331?\nAnswer: -12336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n = 91*n - 16, 4*b = 4*n + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*p = 6, 72 = 2*b - 3*p + 101. Let y(f) = -2*f**3 + 7*f**2 - 2*f - 4. Let c(d) = 2*d**3 - 6*d**2 + 2*d + 3. Give b*c(g) - 3*y(g).\nAnswer: -2*g**3 + 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5217772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919155426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 24500\/(-170)) + ((-54)\/(-30) - (-6194)\/(-3230)).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocb when three letters picked without replacement from {q: 4, b: 1, o: 3, c: 2, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3059, -3061, -3065, -3071?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110000 + -100110010000111001?\nAnswer: -100110011011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5b29 (base 13) to base 5\nAnswer: -403004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15622 and 6147257.\nAnswer: 12294514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34859 is divided by 117.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2820*k - 25359. Determine m(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001814 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-21 - -1))\/((-1325)\/(-50) - 24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26215388 to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2002*q**5 + 2442430*q**4 + 994869688*q**3 + 135955719424*q**2 + 267282233344*q - 1338468320 = 0.\nAnswer: -406, -2, 5\/1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1003 + -1005. What is the nearest to 2\/3 in 0.5, y, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.062 in 2\/23, 1, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 91 = 526*h - 529*h, -5*h - 169 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, -1, 2 in decreasing order.\nAnswer: 2, 1, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/691259 - 39128715707\/4147554. Let b = -9458 - z. Calculate the common denominator of 29\/141 and b.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - c - 1. What is b(-10)?\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2437 + -2436.5. Let w = -4 - -3. What is the smallest value in -39, w, g?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 264 + -364. Let v = 72 + d. Which is the third biggest value? (a) 0.1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -43, -1, -2\/3, -5.3, 0.04, 1.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/40 + 2\/2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowwkkoowirwiwok. Give prob of sequence kkko.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 989299488*z - 61169592309816384.\nAnswer: -4*(z + 123662436)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wklk when four letters picked without replacement from {k: 3, l: 7, w: 9}?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:36 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 2 - 2*q**2 + 10*q**2 - 2*q - 6*q**2 as g*q**2 + a + b*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -68. Let h(j) = 16*j + 189. Calculate the remainder when h(-8) is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 159. Suppose 0 = 4*p - 219 + 711. Let a = s - p. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977013 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4 - 256*l**3 + 9466*l**2 - 80900*l + 164256 = 0.\nAnswer: 3, 8, 58, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156508?\nAnswer: 2, 289127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6207\/4 + 1543. What is the common denominator of d and -83\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, -5, 47, -3, 167?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -147 + -31 + 330 - 291\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*s**3 - 853*s**3 + 390*s**3 - 1494*s**3.\nAnswer: -2048*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6469 - -6412 - (-4 - (1 + -1)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 + 11*m**2\/2 - 4*m + 17. What is y(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x + 2. Suppose 4*r = 2*i - 16, -2*i + 4*i = -5*r - 2. Let c be q(r). Find the common denominator of -53\/18 and c + (0 - (-268)\/(-80)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 4. Suppose -5*g - w = 11, 1 - 3 = i*g - 2*w. Let f = 11\/52 - -1\/26. Which is the third biggest value? (a) f (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39099298, 39099293, 39099286, 39099277, 39099266?\nAnswer: 39099253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, -1, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1216) + sqrt(684)*-1.\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(84) - sqrt(84)*-1)\/sqrt(12) + sqrt(112) + 0.\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68184 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.85. Let j = -0.194 + s. Let g = -0.0439926 - j. Round g to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 10. Suppose -1 - m = -c. Suppose -c*p = -b - 2*p - 15, b - p = 0. Solve 4*k - b*k + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/13 in -2\/5, -1, -0.1, 9, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7 + 931\/343)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 26. Let q = 49 - m. What is the remainder when 66 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2547*d**2 - 48396*d - 45. What is x(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1104 + 3*t + 0*t - 4*t + 1100 - 9*t**3 - 23*t**2 - 3*t**3 as d*t**3 + w*t**2 + s*t + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 12:14 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 + 6820*h - 60975 = 0?\nAnswer: 9, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -8, u + 3*w - 6*w = 9. What is the remainder when (52\/(-39))\/(((-96)\/99)\/8) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130454 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u + 216. Let p = 109 + u. Solve 4 = -3*h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 119 + 22*i)*(-33 + 2*i + 33) + (2*i**2 - 1 + 1)*(-3 - 1 + 3).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let h = 154 + -149. What is the nearest to g in 1\/3, -2, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*d**3*r*y - d**3*r + d**3*y - 2*d**3 - 40*d**2*r*y + 6*d**2 - d*r*y + 3*d*y wrt d.\nAnswer: 510*r*y - 6*r + 6*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 2*i**2 + i**3 + 10*i**2 - 1 - 8. Let c = -10 - -3. Does 19 divide y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019693783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 29, 61, 115, 197, 313?\n\"Answer: o**3 + 2*o**2 + 3*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -206645117\nAnswer: -4\/206645117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.1382734.\nAnswer: -0.691367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 + 2760*n**4 + 506590*n**3 + 30746520*n**2 - 31255875*n = 0. Calculate n.\nAnswer: -189, -175, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 31845*t + 2579449. Calculate i(-81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*o + 154, 53*j + 2*o = 52*j + 34. Let i be 16*j*(-3*12 - -4). Round i to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664046*u**3 + 2*u**2 + 5*u - 6394?\nAnswer: -3984276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/50 + f**4\/30 + 4*f. Factor s(a).\nAnswer: 2*a**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 7*p + 14. Let f be b(4). Let m = f + 92. What is the remainder when 65 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3734 + 3727. Which is the second biggest value? (a) -0.03 (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2\/9 (b) -57 (c) 3 (d) -0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22\/15 - (-22)\/(-33)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*o**2 - 95*o**2 - 107*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 48 = 10*v. Let b = v + -14. Let d be 6*(-3)\/(-6) - 3. Solve -b*n + n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-140))\/(4 + 10 + (-204)\/14). Solve 0 + m*d**2 - 27\/8*d = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13803 is divided by 13219?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14002*1\nAnswer: 14002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 2*v + 5*v)*(34 + 0 - 16) to p*v + y and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 25*d + 11. Determine u(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21. Let u = -1 - s. What is the nearest to u in -0.2, 0.3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 u, and 1 j when four letters picked without replacement from {u: 3, h: 1, s: 2, l: 1, n: 1, j: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24383679 is divided by 13691.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/126*-3*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 2*k - k. Let o(x) be the second derivative of -3*x + 5\/6*x**3 - x**2 + 0. Calculate o(l) + 3*z(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1.106 (b) -4 (c) -1 (d) 1 (e) -1\/4 (f) 1\/4 (g) -84633\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 26 = 4*a, 0 = -4*a - 8. Let c be 6\/4*(-16)\/m. Let d = -9 + 19. Solve -3*q = n + d - 0, -n + c = -4*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((6\/14)\/((-2)\/(-7))*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -25. Let b be 15\/y*(2 - (-48)\/(-20)). Let s(p) = p**2 - p - 1. Let c(l) = -2 + 4*l**2 - 1 - 4 - 5*l. Give b*c(i) - 5*s(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2496.0462 + 2497. Let o = -0.0462 - x. Which is the nearest to -0.1? (a) 1\/3 (b) o (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18713 = -991*v + 66513 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1181486, 2362834, 3544182, 4725530?\nAnswer: 5906878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 46*g + 3. Let t be (-32)\/14 + 2\/7. Let q be z(t). Let d = 144 + q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 105. What is the closest to 7 in p, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.69 - 3.09. Let p = -19 + 33. Let n = 10 + -10.1. Which is the third smallest value? (a) n (b) i (c) 1\/4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhow when four letters picked without replacement from fwffffohhhfhfhh.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/3 + 125*w**2\/3 - 935*w\/3 + 605.\nAnswer: -5*(w - 11)**2*(w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + 64 = 3*m, -4*m = -4*q - 80. Let i = m + -6. Suppose -8*l + 3*l + i = 0. Solve 3*v - l = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2079*o + 2 - 1982*o + 3964*o)*(0 - 2 + 1)*(-2 + 2 - 1).\nAnswer: -97*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 4. Suppose -6*d + l*d + 58 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -13280.71\nAnswer: -39842.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 48 - 17)*(0 + i**3 + 0).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 11494567 + 11494546 = -5*q, 21 = -2*k + 9*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {z: 6, g: 1, b: 5, d: 2, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 44*u**2 - 92*u**2 - 458*u**2.\nAnswer: -594*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 19*f + 6. Let w be h(18). Suppose 3*j + 4 = k, -2*j = -k - 6*j - w. Let m(q) = -q**3 - 9*q**2 - 8*q + 8. What is m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:24 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 236897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, 2, 1\/4, 103 in descending order.\nAnswer: 103, 13\/5, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/45*-1)\/((-2)\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (19 + -58) - -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 274412*q**2 + 6*q**3 - 274412*q**2.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 5137134\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5117 = -3837*u + 3956*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 842, 840, 838, 836, 834?\n\"Answer: -2*o + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n*n)**21\/(n**(-8))**(-5\/11) assuming n is positive.\nAnswer: n**(-733\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2 + 1 + 2). Let g = 57.61 + -61.7. Let o = 0.09 + g. What is the closest to r in -3\/2, o, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 44 = -41. What is the second derivative of -2*h**3 + 7*h**c + 46*h - 81*h wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36*(-49)\/2940)\/(9\/125)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/6 and -111\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3\/5 + 369399*a**2 - 44326584*a\/5 + 265956912\/5 = 0.\nAnswer: 12, 615641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310001 divided by 3.\nAnswer: 310001\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10890 + 18864. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/30 - s**4\/8 - s**3\/3 - 3*s**2. Let l be 1*(-8 - (-20)\/4)*(20 - 21). What is u(l)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 5. Let j be s(6). Let r(t) = -15*t. Is r(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 695*o - 183509. Calculate a(204).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 308*n - 1 + 0 - 4.\nAnswer: -308*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-11 - 6 + 16)*(-1 - 3 + 2) + 7 + 3 - 8)*(-h + h - 2*h) as a*h + y and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 18522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282203798.\nAnswer: 2, 141101899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 508*x + 5 - 2 + 693*x.\nAnswer: 185*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from ssshh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/5))\/x)\/x*x**6*x**(-1\/5)\/x**(-2))\/((x**(-3\/2)*x)**(-4\/15))**(-29) assuming x is positive.\nAnswer: x**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 3, 0, 2.\nAnswer: -3, 0, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 434583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-4) - 298\/(-152) and (-3)\/(540\/(-875)) - 14\/336*18.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(190) + sqrt(190) - sqrt(190)))\/(-2*sqrt(90)) + -1.\nAnswer: -1 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/7 - 71*s**3\/7 + 18*s**2\/7.\nAnswer: -s**2*(s + 18)*(4*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.644 + 4.2459. Let d = -0.61 + o. Round d to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 9) to base 16.\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = z + 3*c, 103*c = z + 99*c + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2 + 2*n**3 - 2*n**2 + 0*n**4 + 153*n**4 + 442*n**4 + 1145*n**4 in the form b*n + s*n**2 + d*n**3 + x*n**4 + t and give x.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 85. Let x be (-3)\/9 + (-1)\/(-3). Let p be l(x). Let k be 71\/4 - (903\/84 - 10). What is the highest common divisor of p and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -80, 1, -5 in decreasing order.\nAnswer: 5, 1, -2, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -23. Suppose 2*d = -2*u + h, 145 = -3*d + 8*d - 5*u. Suppose 35*a - d*a - 390 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - -47352?\nAnswer: 47405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3768 + -2343. Suppose -1046 = -7*u + z. Suppose -2*m + 43 = -5*h + u, 62 = h - 5*m. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 33. Calculate the least common multiple of 40 and p.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 7742?\nAnswer: -7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 104\/(-32))*5\/(390\/24).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -40\nAnswer: 39\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543?\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4173 (base 15) to base 16\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -630\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 115\/10*2 - 5. Calculate the greatest common factor of 144 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 10:37 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 19 + 35)*(0*t + t + t)*(0 - 1 + 2) - 164*t + 14*t - 5 + 0 to n*t + l and give n.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76\/2023 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 424, 0.1, 13283?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 13*k**2 + 16*k - 9. Let t be (-3 - -5) + (12 - 2). Is s(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1\/3 (c) -2\/229 (d) -3\/1906 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h. Suppose -k + 4 + 13 = h. Suppose 6*l - 3*l - k = -5*b, -l - 1 = 5*b. Solve -l = -3*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Suppose -3*x + 172 = 25. Suppose -5*t - 18 = -5*b + 22, 2*t + x = f*b. Calculate the least common multiple of b and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 50*s - 50 + 5.\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(-1\/9)))\/g)\/(g\/(g\/(g**(8\/3)\/g*g))*g)*g**(-1\/2)\/((g\/(g\/(g**(-9\/2)\/g*g)))\/g) assuming g is positive.\nAnswer: g**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -29*n - 4. Let i(u) = 26*u. Let h(m) = -i(m) - k(m). Let q(s) = -5 - s + 0 + 4. Let a be (-3)\/2 - 20\/(-8). Determine a*h(f) + 4*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/9 - 10*m**2\/3 + 19*m\/3 - 28\/9 = 0 for m.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (0\/1)\/(-3). Suppose -2*h = 2*h - z. Solve -a**4 + a**2 - 2*a**3 + a**2 - 3*a**h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2 and 29\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = -8*c + 1852. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 + 27882*i**3 - 68333727*i**2 + 16267381668*i - 16199075820 = 0. Calculate i.\nAnswer: 1, 265, 4514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 79. Calculate the lowest common multiple of h and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501763 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - k - k - 98 = 0, -2*k - 260 = -5*t. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 8570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 21*b**2 - 2*b + 8. Let q be t(-21). Suppose 5*f = 5*g + 2*f - q, -4*f = 2*g - 46. Suppose 64 = y + g. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 2, s: 3, j: 2}. Give prob of sequence jy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-567*(888\/259)\/12\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 - (-1 + -4). Suppose 5*k - k - x*i = 27, -k = i. Suppose k*t - 94 = -22. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209468 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/132 and -19\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54576537*a + 46266131 wrt a.\nAnswer: 54576537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 0 + 0 + (2 - 2 - 2*n)*(-2*n**3 - n**2 + n**2).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/78443030 and -25\/23532909?\nAnswer: 235329090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4815188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3681\/22 equal to -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 24, 78, 186, 366?\n\"Answer: 3*b**3 - 3*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -603? (a) 0.5 (b) -4\/9 (c) 1\/3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2. Let b be c(2). Let u = 388\/1365 - -2\/1365. Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3602 rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20)*1)**2*-3*-3.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72654, -72653, -72652?\nAnswer: -72651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*c*f**2*j - 2*c*f**2 + 6*c*f*j + 3*c*j - 2*c - 30*f**3 - f*j + 29*j wrt f?\nAnswer: 30*c*j - 4*c - 180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -753583\/5 - -150717. Let -1\/5*g**4 + 0*g**3 + 3\/5*g**2 + v*g + 0 = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7937221 days?\nAnswer: 68577589.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -175, -3 in decreasing order.\nAnswer: -1, -3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 8*l - 244 - 2*l - 6*l.\nAnswer: -2*l - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/49 and 24\/10 - (-3 + (-12)\/(-4)).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -71.\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6321 - 957. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/14)\/(6\/21). Calculate the highest common factor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 6*t**3 + 3*t**3 + t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.65875 months in years?\nAnswer: 9.9715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135727688563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57740 (base 8) to base 4.\nAnswer: -11333200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8575 + 26179\/3. Let y = i + -12499\/84. Find the common denominator of y and -125\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-9))\/4)\/(2\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20)\/i*i\/(i*i\/i**(-21)*i))\/(i**(-7))**(-1\/61) assuming i is positive.\nAnswer: i**(-2691\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/20 - 3*n**4\/4 + 3*n**3\/2 - 5*n**2 - 3*n. Let k be v(-10). Is -2\/41 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339185 is divided by 358?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 288 + 37\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 23, 58, 107, 170?\n\"Answer: 7*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153903.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(-2*q**3 - 53*q**3 - 9*q**3) as r + j*q**3 + k*q + a*q**2 and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-90) - (54\/10 - 5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4b11 (base 16) to base 3\nAnswer: -222100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 7*h - 280. Let y = -20677\/9 - -2302. What is the common denominator of y and (-162)\/h + 7\/(-28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12002010 (base 4) to base 16\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at least 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1431, 56?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 y when three letters picked without replacement from nyfnkfnffffnfffy?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62551\/20 - -3122. Let h be (-149559)\/2*2\/(-54). Let a = 2771 - h. Calculate the common denominator of d and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*m = -14, -5*z + 68*m + 28 = 69*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(4 - f + 0 - 2)*(-17 + 38 - 5*f - 20) as s + j*f + v*f**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 90?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 225.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**2 - u. Let f be a(-1). Differentiate -23*n + f - 3 - 26*n + 57*n wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158029.684 * 3.\nAnswer: 474089.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (742\/(-636))\/((-539)\/21)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 46. Let n = 47.155 + o. Let f = n + -0.42. What is f rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 + 13*c**4\/12 + c**3\/3 - 8*c**2 + 2*c - 21. Does 12 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -7. Let d = 0.7 + -2.7. Which is the third smallest value? (a) h (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1414 = 5*h + 5*z + 3801, 3131 = -3*h - z. Let n = 1500 + h. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242541 (base 6) in base 12?\nAnswer: -10451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or -238\/3?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 22*y**2 - 8*y**2 + 2*y + 7*y**2 as u*y + d*y**2 + i and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.6 take away 0.24?\nAnswer: -65.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -19.058 (c) 0.6 (d) -0.05 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 4007 = -5*p, p - x = -0*p + 801. What is the greatest common divisor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 34. Let u = m + 16. Suppose u*f - 15 = -0*f. Do 0.1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/11, 3\/5, 172, 4\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 - (-3 - (10 - -4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 314*q - 313*q + 16, 0 = q + 5*m + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2717522, 2717623, 2717722, 2717819, 2717914?\n\"Answer: -f**2 + 104*f + 2717419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:39 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 35*n = -76857. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b - 11. Let f(v) = -4*v - 5. Let q be -4 - -5 - (1 - -6). Let h(u) = q*z(u) + 13*f(u). Let k be h(-1). Which is smaller: -2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6 - 6. What is the second biggest value in 4.4, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 12*j + 14 = -5*b, 4*b + 2*j = -10. What is the smallest value in 0.1, 2, 0.4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579494451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/25)*a\/a**30*a)\/(a**(5\/3)\/a)**(4\/3))**(-6\/7) assuming a is positive.\nAnswer: a**(13018\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 266, 233, 178, 101, 2, -119, -262?\n\"Answer: -11*n**2 + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-8)*y**3)**35\/(y\/y**(-1\/2)*y*y**(-5)\/y*y*y*(y\/(y*y\/(y**1*y)))**(-48)) assuming y is positive.\nAnswer: y**(939\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 3, 10169, -2 in increasing order.\nAnswer: -2, 1.1, 3, 10169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -1058\nAnswer: 29\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyyzy. What is prob of picking 2 y and 2 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -967 (c) -0.088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 24 = -5*d, 20*i = 3*d + 21*i - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3645 + 8152. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 633 + -638. Let m = 27 + -16. Let c = 12 - m. What is the closest to 1\/4 in c, b, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10 + 116565*i + 11 - 116564*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3303719 is divided by 110120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(2\/11))\/f)\/(f\/(f**(2\/5)*f*f)))\/(f**(-5)\/(f\/f**(-1\/6)*f)))\/(f\/(f*f**(-1\/3)\/f*f*f)*f**1*f**4*(f*f**(2\/13)*f*f)\/f) assuming f is positive.\nAnswer: f**(8141\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 736 = -79*z - 160 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 286217 * 1.001.\nAnswer: 286503.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*x - 8 - 6 = 0, -24 = r - 5*x. Let l be -4*r\/(-2)*-4. Let v be (-2)\/9 - l*102\/756. Are 1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/450 and -37\/1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19 + 35 - 23 - t. Let h be u(6). Solve -2*p + 17 = 3*v + 4, 5*v + 5*p - h = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-1 - -4))\/(((-7)\/7)\/2). Solve 2*l + 4*k = c, 19*k - 17*k = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 108. Suppose -25*r + n*r = 0. Which is greater: -3\/77 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -23.00061. Round f to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13023 - 39070\/3. Let h = -3.1 + 3. Which is the nearest to -4\/7? (a) h (b) k (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 31. Let l be (-7 - -5)*u\/(-2). Find the second derivative of l*c + 21*c**5 - 14*c**5 - 18*c**5 wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 15*g + 23. Give r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -1484, -2235, -2968, -3677, -4356, -4999?\nAnswer: -5600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55680 by -32.\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -9*f - 8. Let k(d) = 5*d**2 - 1. Let i be k(-1). Solve -i*n - f = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 + 717570*v**4 - 12197680*v**3 + 62421670*v**2 - 68160075*v - 143497000 = 0?\nAnswer: -1, 5, 8, 143497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 508*z**2 + 21170*z - 1513800 = 0. Calculate z.\nAnswer: -145, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 - 2*b + 8. Let j be d(6). Which is greater: -11\/3 or j?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39934623 rounded to three decimal places?\nAnswer: -0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(1\/15)))\/(((z\/(z*z**(-9))*z)\/z)\/z))\/(z**(-2\/5))**(20\/7) assuming z is positive.\nAnswer: z**(-727\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(12)\/sqrt(4))**2)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h = -21 + 27 - 53. Let x(d) = d + 1. Let m(t) = 38*t - 4. Give h*m(p) + 4*x(p).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c + 22. Let b(w) = -14*w + 11. Let y(i) = -11*b(i) + 6*o(i). Let q(z) = 40*z - 13*z - 14*z - 2 - 9*z. What is 11*q(r) + 2*y(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15161*q**3 + 5*q**2 + 3*q - 1. Let m be x(-7). Round m to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**24)**(-4\/3)*b\/b**(1\/2)*b\/(b**15\/b) assuming b is positive.\nAnswer: b**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkokuolukk. What is prob of picking 1 u and 1 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8090.7 + 8981. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.1582*2\nAnswer: 36.3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 99. Suppose -4 = 5*m - h. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 - 186. What is the first derivative of 39*r**2 - 5 - 2 + 36*r**2 - 114*r**w wrt r?\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274) + sqrt(1274)*-1 + sqrt(1274))\/((sqrt(2) + (sqrt(144)\/sqrt(6))\/sqrt(12) - sqrt(2)) + sqrt(2)).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -65.6 and 0.08 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846366 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**39*w*w)\/w**39*(w**(5\/4)\/w)**(-32) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p + 201*p + 160*p = 347*p + 5490 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:09 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*y - 107*y = 64 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54121, 54085, 54053, 54025?\n\"Answer: 2*q**2 - 42*q + 54161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886116.3101 rounded to the nearest 10?\nAnswer: -1886120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -0.89 (c) -4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43\/3 - (-4)\/6. Let m be 6\/p + 20\/75. Determine f so that -m*f**5 + 4\/3*f**3 + 0 - 2\/3*f + 0*f**4 + 0*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12.4. Let g = h - -0.6. Which is the closest to g? (a) 2\/11 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3502353 - -1?\nAnswer: 3502354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 + 50 = 3*g. Let l = g - -43. Solve 2*p = -9 + l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2 + 393\/198). What are the prime factors of 260\/22 - (-12)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -99. Suppose 0 = 3*d + 4*s - x - 16, 2*d - 31 = s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84712 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5\/4 - 326*w**4 - 143182*w**3 - 21807880*w**2 - 273836900*w + 636056000 = 0.\nAnswer: -430, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -65. Find the common denominator of -113\/50 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -42. What is the greatest common factor of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(1 - 0) + 16. Suppose 4*a + z = -5. Let n(s) = s**3 + 4*s**2 - 6*s + 3. What is the units digit of n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)*2)**2*-3.\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-66)\/(-4)) + 7*(-28)\/392?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 19 - 8 + 43976*x.\nAnswer: 43976*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6753*m - 6435610. Determine g(953).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(3200*g - 1719*g - 1651*g)*(-5 + 2 + 4).\nAnswer: 340*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:39 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 7. Let s be t(11). Let n be (-16)\/12*3 + s. Solve 3*u - 3 - 6 = n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v + 10. Let u = 58 + -51. Let b(x) = -2*x - 3. Determine u*b(n) + 2*y(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**3 - 6*h**2 + 6*h + 5. Let p(d) be the first derivative of d**4\/4 - d**3\/3 + d**2\/2 + d - 769. Give -i(x) + 6*p(x).\nAnswer: -3*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1591.206 and -3.\nAnswer: -1594.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-3)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-1 - 6) - -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75260775 and 376475?\nAnswer: 827868525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7264 + -7261. Let r = -2.6 - 2.4. What is the fourth smallest value in r, -6\/7, d, -1\/10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*b = -20, -2*v - 46*b - 8 = -50*b for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04139 + -3.95861. Suppose -2*y + 3*y = -a + 59, 5*a - 303 = 3*y. Let c be -2 + (a\/(-32))\/(-1). What is the nearest to -1\/2 in t, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-52)*370188\/(-398664)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**3. Let x be 10*(-4)\/(-6)*(-6)\/(-10). Suppose -x*p + 7*p - 4*f = -29, -3*p - 27 = -3*f. Let g(d) = -7*d**3. What is p*g(v) + 6*o(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -59, -62, -67, -74, -83, -94?\n\"Answer: -y**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2 + 165\/84). Suppose 2*g + n = 5*g. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 43 + 11. Suppose j - 7 = -0*b - b, j - 5 = -3*b. Solve p - s = -j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + q + 3 = 0, 4*q = -4*b - 0*q + 20. Suppose -3*d - 56 = -3*r + d, 0 = -3*d + 12. What is the lowest common multiple of r\/(-2)*(-2)\/b and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.601766l in millilitres?\nAnswer: 1601.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/222 and -21\/16.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.713649 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*p = 0, 2*t + 0*p + 12 = 5*p. Solve -t*z = 2*z + 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1271940901 - 70.2.\nAnswer: 1271940830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6237140 and 5096.\nAnswer: 87319960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 187, 272?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(25\/(6400\/(-1664))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**16)\/v**15)\/(v**(3\/22))**(-35) assuming v is positive.\nAnswer: v**(-555\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/3 + 356*s**2\/3 + 129841*s\/3 + 513604\/3 = 0.\nAnswer: -221, -4, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 32*s - 235 - 151 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 79521964?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsvvtvwvwvtvvsvvvst. Give prob of picking 2 s and 2 v.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x - 5*h = -6*h - 420, -x = -4*h - 7 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 11:34 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l - 2. Suppose 4*d - 2050 = 9*y - 1998, 4*y - d = -13. Put y, l, -29 in descending order.\nAnswer: y, l, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**8\/336 + x**4\/6 - x**2\/2 - 4*x. Let a(i) be the first derivative of g(i). What is the second derivative of a(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0868 - 4.9298. Let u = 0.157 - r. Let x = 4 - 7. What is the nearest to u in -1\/2, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -279 (c) 5 (d) -1 (e) -562 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15031628\/200148 + 4\/(-39)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 424?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**2 - 5*z - 5. Let x(t) = 9*t**2 + 3*t + 3. Let w(c) = 3*c - 2*c**2 - 3*c + 3*c + 14 - 10. Let r be w(3). Determine r*x(s) - 3*y(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202202 (base 6) to base 12.\nAnswer: -53362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 3431?\nAnswer: -120085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j - 231. Let s = -33 + -2. Let t = 42 + -19. Calculate the remainder when t is divided by o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*f - 3099*f + 582*f + 1967*f.\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvttttitvctiiictv. Give prob of sequence it.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 - 2*h + 24. Let k be q(7). Solve -7*i + k = -12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59913 divided by 1644?\nAnswer: 19971\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7332*b + 381077. Determine q(-52).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/111262327 and -41\/2.\nAnswer: 222524654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402044 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1779, -4205, -6627, -9045?\nAnswer: -11459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poz when three letters picked without replacement from {p: 1, z: 1, f: 2, o: 1, u: 1, r: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1 + (-108)\/(-12). Solve 0*m + 5 = -z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -400 + 414. Solve m + m = 3*y + a, -2*y - 24 = -5*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 262. Suppose 2*r = -z + y, 2*r + 0*z = -4*z + 144. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -45?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750 = -15603*c + 31124*c - 15571*c for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 2 + 1 + 2*c. Let h be z(3). Suppose -4*l - q = -21, 2*q - 1 = -h*l + 5. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 62*b**2. Let m(c) = -3664 - 3667 + 7331 - 2*c. Give m(i(a)).\nAnswer: -124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 51 - 2*m**2 - 164 + 55.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(4 - 2*v - 4) - 1301 + 1301 - 106*v to the form b + x*v and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 1 + 125*p - 45*p - 55*p + p**2 as y*p**2 + t + r*p**3 + o*p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k*o**3*p**3 + 5*k*p**3 - 2*k*p**2 + 8*k*p - 56*o**3*p**3 - o*p wrt o?\nAnswer: -54*k*o*p**3 - 336*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000181986 to six decimal places.\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 71*w - 863. Determine x(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 4. Let l(v) = 11*v + 150. Let w(x) = l(x) + p(x). Give w(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h - 2 + 2)*(3 - 3 + 1) - 1 + 1 + h + 19*h - 55*h - 92*h)*(4*h**4 + 0*h**4 + 3*h**4).\nAnswer: -875*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6905*s**3 + 4*s**2 - 1. Let u be w(3). Let o = u - -34530. Round o to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 + 130. Let h = 20 - 19.56. Let q = -0.4 + h. Are q and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50176 times -217\nAnswer: 10888192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111001000 + 110000001?\nAnswer: 10011101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -9*s - 772. Let v = 283 + s. Let z = v - 82. Solve 0 = -3*d - z - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 + -136. Sort 5, r, -5 in ascending order.\nAnswer: -5, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-211)\/(-2) - 2\/(-4). Round q to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202113 divided by 11671.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 346570 in -2\/7, -0.5, -0.2, -2\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2 + 1\/(30\/72). Sort -5, x, -39 in ascending order.\nAnswer: -39, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 34. Suppose 3*n + 2*n - 245 = b. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3906 by -101979.\nAnswer: 434\/11331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2130*h + 22. Let n(i) = -1064*i + 11. Let k(o) = -5*n(o) + 3*u(o). Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2\/15 - 172*j\/5 + 208\/3 = 0.\nAnswer: -260, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccx. What is prob of sequence ccx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muvcueucmu. What is prob of picking 3 u and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52637.313067 + 1?\nAnswer: 52638.313067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0676 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104154 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -21*z - 13. Let d be h(-1). What is the tens digit of 56\/d + 713 + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 + 62*x\/9 - 80.\nAnswer: (x - 10)*(x + 72)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p + 2*y - 40, 0 = 5*p - 3*y - 61. Let r = p - -2. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 4*h + 6*v + 16, 4*h - 2*v = -10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.1936 millimeters in nanometers?\nAnswer: 515193600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402022.7 decades to years.\nAnswer: 4020227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 2*y - 2*y)*(-y + 8*y - 3*y) + 2*y**4 + 0*y**4 - y**4 + (-4*y + 3*y + 0*y)*(2*y**3 - 3*y + 3*y).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257087 is divided by 2955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k + 4*u, -u = -3*k + 4*u + 19. Suppose 800 = -k*b + 8*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(2 - 1 + 5) + (6*w + 2*w - 3*w)*(-3 - 3 + 5 + (4 - 4 + 2)*(0 + 0 + 2)) + 0*w + 0*w + 2*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*x - 28, 5*x - 10 = -4*z + 38. Let i(f) = -f**3 + 11*f**2 + 5. Suppose 14*o - 15*o + 11 = 0. What is the remainder when x is divided by i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 110 = -s - 13*f, 3*s - 342 = -5*f. Calculate the remainder when 370 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32427 (base 9) in base 12?\nAnswer: 1052a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155131, 155128, 155123, 155116, 155107, 155096, 155083?\nAnswer: 155068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -2\/367 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -3, 2, -1\/19, 1366?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 3. Let q(k) = 120*k - 35. Calculate 3*q(c) + 35*x(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 68. Let n be (3 + x)*(1 + 0). Suppose -s = -o + 21, -2*o + 4*s = -n - 1. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 3*y + 2. Let v be f(1). Suppose 32 = v*a + 2*a. What is the common denominator of -99\/4 and 11\/(-30) + a\/40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 208141.\nAnswer: 208139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + 20 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in -2, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.739 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*c = -1, -2*c = 7*b - 3*b - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 206 = 4*g - 0*u, 5*g + u = 275. Let q be -4*g*6\/16. Let m = q + 111. Calculate the highest common divisor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2137 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + 5*o + 1. Let f be w(-2). Suppose 131 = 4*n + f. What is the remainder when 177 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/60 + 7*o**5\/30 - o**4\/12 - 7*o**3\/3 - 63*o**2. Solve b(d) = 0 for d.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 0 (c) 1 (d) 22\/8713 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 17 = -5*f. Let p(h) = h**3 - 11*h**2 + 10*h + 9. Let c be p(10). Let k = c + 5. What is the highest common divisor of f and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*22\/(-77)*(-9)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 4. Let g be d(3). Let x be (-68)\/(-20) + g\/5. What is the third derivative of -q**2 - 2*q**2 + 3*q**5 + q**5 - x*q**5 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t**2 + 0)*(8 - 6 - 7) + 0*t**2 - 3*t**2 + 0*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -8450*x**5 - 17810*x**4 - 12992*x**3 - 4208*x**2 - 608*x - 32 = 0?\nAnswer: -1, -2\/5, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52656 is divided by 978.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144645.\nAnswer: 3, 5, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2852 and 244?\nAnswer: 173972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (21 - 0 - 16) - -76 - -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21)*(-7)\/(-1). Suppose 0 = 4*d + 2*n + s, 5*n = 4*d - 7 - 26. Suppose -460 = -4*k + 3*v - 7*v, -d*k + 3*v + 255 = 0. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1021598935 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.89 + 6.96. Let n = 4.57 - z. Let k be (1 - 2)\/(2\/(-18)). Put k, n, 0.2 in ascending order.\nAnswer: 0.2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4768118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 317098*u - 44 + 103.\nAnswer: 317098*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6453961 to the power of 1\/2, to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.98 - 99.02. Let a = 21.824 + -122.234. Let k = s - a. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2012 - -4831. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 26*c + 3052. Let b = c - -306. Which is bigger: b or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 720 = -5*d. Suppose -1168 - d = -4*x. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 35. Calculate z(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3511.300327 + -6.3224?\nAnswer: -3517.622727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -290042 and -710.\nAnswer: 205929820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43926 and 0.0098.\nAnswer: 43926.0098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d**3*i - 138*d**3 + 193811*d**2*i - 91441*d**2 wrt i.\nAnswer: 24*d**3 + 193811*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*o - 240206 = 3*o - 240176, 0*k - 3*o = -3*k + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*h, 2*h + 103*a = 100*a - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7273 and 196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3446 + 2342 = -46*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 51.941. Let i(w) = 3971*w - 3965. Let v be i(1). Is p greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132419680 is divided by 16552454?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682776 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6419395 divided by 123\nAnswer: -6419395\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 + 16*o + 6. Let w be d(-14). Let i = w + -6850\/9. Determine m, given that -i + 56\/9*m - 98\/9*m**2 = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4007252834?\nAnswer: 2, 13, 41, 3759149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057 - 510 = -8*w + 475 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -438, -1081, -1862, -2793, -3886?\n\"Answer: -2*y**3 - 57*y**2 - 458*y + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 93408678 + -7392.6\nAnswer: 93401285.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 2. Let y be s(-6). Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*f**2 + f - 79*f**3 + 91*f**3 + f**2 in the form u + m*f + p*f**2 + q*f**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2060682\/973 or 2117?\nAnswer: 2060682\/973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35013 and -4919.542205?\nAnswer: 30093.457795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 32. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b*b**4*b)\/b))\/b)\/b**(-4)*b\/b**1*b*b*b**(-5)*((b**(-1\/4)*b)\/(b\/b**2))\/(b**(-3\/7)\/(b\/b**(-3\/8)*b)) assuming b is positive.\nAnswer: b**(-81\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5838*b**4 - b**2 - 31564*b?\nAnswer: -140112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 192.\nAnswer: 25\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqooqllllqddoooqoo. Give prob of sequence oqoo.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257039 - 256929.041. Let x = g + -110. What is the second biggest value in x, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**4\/2 - z**3\/3 - z**2\/2 + z + 44. What is y(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 3*a**4\/4 + 55*a**3\/3 + 5*a**2\/2 - 98*a - 4965. What is the second derivative of c(u) wrt u?\nAnswer: 18*u + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*k + 19 = -3*k, 0 = -k - 1. Let w be a*(35\/(-4) + 4). Let f = 24 + w. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 44592*u - 980907. Give h(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 4 - 12*g**2 - 11 + 26*g**3 - 27*g**3. Let z be d(-12). Let i = -17 + z. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:31 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15939 + -1291066\/81. Sort 2, i, -1\/8, 0.4 in descending order.\nAnswer: 2, 0.4, i, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*g - 21. Solve 0 = -g*x + 20 - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k, 0*t - 5*k - 40645 = -5*t. Suppose 0 = -2*s + 8 + 12. Find the third derivative of s*o**4 + t*o**3 - 8133*o**3 + 18*o**2 wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406361 (base 7) in base 9?\nAnswer: 115265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + -1) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s + 112. Let i be c(-5). Let t be ((25 + 0)*1)\/1. Let x = i - t. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 3, d: 1}. Give prob of picking 1 s and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211999, -212002, -212005, -212008?\n\"Answer: -3*j - 211996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 65. Let f(p) = 11*p**2 - 12*p - 35. Let x(w) = 5*w**2 - 6*w - 17. Let t(o) = -4*f(o) + 9*x(o). What is the units digit of t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 + 33?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0.1, 121, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 v when three letters picked without replacement from mtrmcdrrmmmmcvc.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 739444 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104*k**4 + 5*k**3 + k - 8924.\nAnswer: 416*k**3 + 15*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i - 51*i + 8*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 16 + (13 - 12)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**2 - 9*s + 6. Give u(3).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5156*t**2 - 74*t + 217. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o + 24 = 2*w, -8*w + 40 = 0. Let -19*l**3 + 0*l**3 - 7*l + o*l - 2*l**4 - 2312*l**2 - 117*l**3 = 0. Calculate l.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18271 in 1, 1.97, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 64865 - 64865.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 not equal to -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4365 + 9669. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 - 5*f + 6. Let v be x(-6). Suppose v*s - s + 3 = 0. Differentiate 2 - 4*o**3 + 4*o**s - o**3 - 3 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*f**4*i**2 + 29*f**2*i**2 + f*i**2 - 542*i**2 wrt f.\nAnswer: -168*f**2*i**2 + 58*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 1490*b**4\/3 - 13075*b**3\/3 + 25820*b**2\/3 - 6140*b + 1392 = 0. Calculate b.\nAnswer: -174, 4\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -266686, -533368, -800048, -1066726, -1333402, -1600076?\n\"Answer: y**2 - 266685*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 9*u = 16*u - 2*d - 8, -5*u + 5*d = -20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/8 - (-195)\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -666 + 655 + (-114)\/(-56) + 1 + 8\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.41, -6\/5, -4, 0.032?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3280 or -16398\/5?\nAnswer: -3280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36879 and 1900?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 726184549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 271658423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**3 - 3*u**3 - 5*u**3)*(0 + 0 - 12) to k*u**3 + w*u + s + l*u**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 1, o: 2}. Give prob of picking 2 c and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -47, -53, -57?\n\"Answer: i**2 - 11*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10*(9 - -11)*-2. Suppose c = w + 2*x, -2*w = w + x - 58. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1861 divide 357925316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1)\/(1\/(-4)*-4). Let f = 3 + s. Suppose -5*p - 28 = 3*g, -3*p = -f*g + g - 25. Are -11 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/7 - 35*m**3 + 14628*m**2\/7 + 47120*m\/7 - 61504\/7.\nAnswer: (m - 124)**2*(m - 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1300\/(-5577) + (-26)\/1521*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/2 (c) -17431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1845 and 1435?\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 2*c**6\/15 + 106*c**5\/5 + 35*c**4 - 2213*c. Factor k(a).\nAnswer: 4*a**2*(a + 1)*(a + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(204)\/sqrt(108) + (-1 + sqrt(153) + sqrt(153))**2 + -1.\nAnswer: -38*sqrt(17)\/3 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 6*t = -60. Solve 4*b - 5*r + 6 = 17, 3*b - 3*r = t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6488183\/3430 - 9458\/5. Let n be (-22116)\/5145 - (-3 - 1). Let b = i + n. Calculate the common denominator of 49\/12 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -104*w - 1878. Calculate g(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l - 34. What are the prime factors of t(-15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906203 is divided by 205.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m - 15. Let v be f(-2). What is the smallest common multiple of 7 and 1*(-1)\/v*(-100 - -30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**4 + 532*c - 532*c + (2*c**2 - c**2 - 2*c**2)*(1 - 1 - 2*c**2) - 2 + 4*c**4 + 2 as y*c**2 + z*c**4 + k + h*c**3 + j*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7738833*q*t**3 - 21452671*q*t**2 wrt t?\nAnswer: 46432998*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28) - 123\/132?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = 5*j + 34, -3*g = 4*j - 7. Suppose 0 = 3*s - 4*h - g, -24 = -3*s - 2*h + h. Let q = s + -6. Is 4\/3 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -57, -70, -65, -36, 23?\n\"Answer: f**3 - 32*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 350, 802, 1436?\n\"Answer: 91*p**2 - 3*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64959 and 23600?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -39.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.55789l in millilitres?\nAnswer: 45557.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100212 (base 3) to base 13.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84992.02l?\nAnswer: 84992020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 40*h**2 + 3 - 18*h**2 - 19*h**2. Let d(p) = 2*p**2 + 2. What is -7*d(m) + 5*o(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 160 - 52. Let i be -4 + (-115)\/(-30) - 98\/j. Let f be i\/(-6)*(-30 - 0). Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 d when four letters picked without replacement from ddkkkdk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/360 + l**5\/40 - l**4\/4 - 3*l. Let a(y) be the third derivative of t(y). List the prime factors of a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1183, 2260, 3279, 4240, 5143, 5988, 6775?\n\"Answer: -29*y**2 + 1164*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 4 + 0*c - 26 + 2*c + 51.\nAnswer: 2*c + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 + 57*k + 2. Is 23 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/4*(-18)\/(-15). Let k be 9\/2*20\/10. What is the highest common factor of n and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Let v be a(-4). Let c = v + 6. What is the tens digit of 24*c\/20*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let t be x(0). Suppose t = -w - w + 4. Let m(n) = n - 6 + 2*n**3 - 4*n**w - n**3 + 1. Give m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - x - 109, -5*z = 2*x - 6*x - 184. Suppose k - z = -k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w + 1\/4*w**4 - 2\/3*w**3 + 86 + 1\/2*w**2. Let i(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 + -160. Let z(c) = -c**3 + 7*c**2 + 17*c + 12. Let p be z(q). Let l(g) = g**2 - 7*g + 4. Determine l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1813 - -3639\/2. Let m(b) be the first derivative of k*b**2 + 0*b - 7\/3*b**3 + 3. What is the second derivative of m(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 2 - 2 - 2*x**3 + 0.\nAnswer: -2*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j**2 + 912*j - 7. Let l(x) = -3*x**2 + 204*x - 2. Let a(y) = -2*c(y) + 9*l(y). Determine a(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 - 7*g**4\/12 + g**3\/3 - 3*g**2\/2 - 3*g. What is the lowest common multiple of m(7) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49518328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.12 from -59484961.\nAnswer: -59484963.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156667 - -156661. Let p be ((-1)\/(-3))\/((-5)\/6). Sort -1, -0.13, p, a in descending order.\nAnswer: -0.13, p, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h. Suppose -959*r - 25 = -954*r. Let f(z) be the third derivative of 2*z**5\/15 + z**4\/4 - z**3\/3 - 3*z**2. What is r*m(c) - f(c)?\nAnswer: -3*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/20 and 37\/462.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2830 and 29\/50657.\nAnswer: 506570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6 - 8. Let t = -0.1 + n. Let z = 887\/2205 + -1\/441. Put t, 0, z in decreasing order.\nAnswer: t, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*f = 332, -272 - 266 = -3*x + 5*f. Is x at least as big as 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057)*3*-2 + ((sqrt(2057) - (sqrt(2057) - (sqrt(2057) - 4*sqrt(2057)))) + sqrt(2057) + 0)**2)*-2.\nAnswer: -16456 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -188*d. Let v(b) = -204*b**2. Calculate g(v(s)).\nAnswer: 38352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*p + 3*t - 22, 5*p + 4*t = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6266*h**2 + 55*h + 76992572 wrt h.\nAnswer: 12532*h + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -5, -12, -21, -32, -45, -60?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 40*o - 9 = -35*o, -2*p - o - 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-14))\/((-25)\/(-3)))\/((-120)\/(-450)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15850229 and -4?\nAnswer: 15850225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 13*n**2 + 14*n + 15. Give u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*w = 102, -5*w + 4*w = 3*u - 346. Calculate the remainder when u is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2583599 divided by 69827\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*t - t + 221 = 0, t = 2. Let l = -39 + r. Solve 2*v + 4*j + 16 = l, -3*v - 4*j = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 4*x + 10. Let f be g(0). What is the second derivative of 158*i**2 - 14*i**2 - i - f - 41*i**2 wrt i?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/2865622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31884708*z + 33983587 wrt z?\nAnswer: -31884708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 38*u + 9. Let g be s(-19). What is the highest common factor of 45 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/5)\/((-42)\/(-35)). Sort 0.5, 4, c, -0.3.\nAnswer: -0.3, c, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 + 5*c**2 + 15*c. Let n(j) = 9*j**3 + 7*j**2 + 22*j. Determine 5*n(x) - 7*u(x).\nAnswer: 3*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18612 is divided by 3393?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 7\/(273\/891). Let m = -6737\/234 - z. Calculate the common denominator of (-202)\/8*8\/36 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 8*n + 32. Suppose 0 = 19*a - 18*a. What is the remainder when 124 is divided by k(a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 2*s)*(18 - 10 - 1) + (1 - 1 + 5)*(3 - 4*s - 3)*(-2 - 4 + 3).\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from kckecckcqe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f = -75*f - 5*i - 437, 3*i - 1275 = -3*f. Calculate the remainder when f is divided by 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -200*n**3 - 4*n - 3. Let p(y) = 67*y**3 + y + 1. Let f(g) = -7*p(g) - 2*w(g). Let v be f(1). What is v rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 - -11366. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-4 - 2 + 4)*(k**4 + 2*k**4 + 6*k**4) - 2*k**4 - 3*k - 2*k**3 + 3*k.\nAnswer: -38*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 368659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -2 (c) 0.2 (d) -0.4 (e) -8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1307 = m + 5364. Let g = m - -73087\/18. Let s = 1194809 - 23896119\/20. What is the common denominator of s and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -2*v**7\/735 + v**6\/105 + 4*v**5\/105 - v**4\/21 - 2*v**3\/7 - 2*v**2 + 53. Let u(x) = 0. Calculate x.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78790244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 517*n**4 - 13985*n**3 - 14056*n**2 + 90780*n - 21600 = 0. Calculate n.\nAnswer: -3, 1\/4, 2, 40, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20401 (base 5) to base 7.\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 18. Let k be l(-5). Suppose -4*j - g + 13 = -2*g, -4*j - 3*g = k. What is the nearest to -2\/3 in -4, -6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciic. What is prob of sequence iicc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g + 3. Let o be v(-3). Suppose m - 21 = o. Let j = -33 + m. Calculate the remainder when 119 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*u = -17, 0 = -2*g - u + 5*u - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000568092 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1425 divide 105568275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 60*b - 997. What is v(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/13, -6\/7, 1134.284, 0 in decreasing order.\nAnswer: 1134.284, 2\/13, 0, -0.3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/49*(6\/4 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 - 3.2. Which is the second smallest value? (a) 0.3 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -154*n**3 + 35*n**2 - 35*n - 35. Let o(v) = -9*v**3 + 2*v**2 - 2*v - 2. Calculate -2*h(y) + 35*o(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 - -0.06. Let x = q - 14.49. Let k = 16 + x. What is the nearest to k in -0.2, 0.5, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0 + 0 + 3*g**2. Let n(f) = f. Calculate n(k(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15597939.\nAnswer: 3, 7, 742759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/85 + 184\/595. Let f = -269 - -71. Let h = -198.07 - f. Which is the closest to n? (a) -3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -2. Suppose n*m = 40*m - 20. Find the first derivative of -5*b**2 - m + 0 - 3 wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -16.8 (b) 1\/8 (c) -2\/3 (d) 1\/6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 25 = 3*j + 5*h, -8 = -j + 2*h. Let s = -8 - -10. Suppose -j = -g - s. Are g and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 22. Let a be b(-20). What is the third derivative of 19*r**5 - 6*r**5 + 25*r**2 - 14*r**a wrt r?\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 5) in base 13?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 + 5. Let c be k(-8). Let n = 21 + -16. Suppose n*z = c + 15. Solve 2*f - z = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, -3.6, -2, 4 in ascending order.\nAnswer: -3.6, -2, -0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c - 16. Let q(h) = -1. Let v(y) = 3*q(y) + x(y). What is the first derivative of v(s) wrt s?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:37 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, a: 6}. Give prob of sequence aaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(5\/7)*s*s*s*s*(s\/(s\/(s*s**(-2\/33))))\/s)**29 assuming s is positive.\nAnswer: s**(44573\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from lwflvv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 136.9645 centuries?\nAnswer: 1369.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 18 = 6*t - 8*t, 5*t + 6*b - 19 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let g(n) be the first derivative of -n**4\/2 - 2*n**3\/3 - n**2\/2 - 2*n - 2. Is g(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 129*m - 229*m - 465*m**3 + 113*m - 255*m wrt m.\nAnswer: -2790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**3 - 2 + 5 - 50*i**2 - 2 + 48*i**2. Suppose 4*s + 1 = 5. Give j(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1082)\/(-210) + 10\/(-175)*5 and -55\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -2. Let t = -10 - n. Let u = t + 2.9999968. What is u rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*-4 + sqrt(170) - sqrt(170))*6 + sqrt(170) + (sqrt(170) + sqrt(170) + sqrt(170)*1)*-4)\/(sqrt(50)\/sqrt(5)*-4 - -2*sqrt(1440)).\nAnswer: -29*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/12)\/((-2)\/6). Calculate the highest common factor of 15 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110.1 and 1.\nAnswer: -110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*l**2 + 25*l**2 + 2*l**3 + 32*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/20 + 35*t**4\/8 + 100*t**3 + 245*t**2 - 3*t. Find u, given that w(u) = 0.\nAnswer: -5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*t - 3*t = -105, -a + 30 = t. Is 0.3 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 12, b: 3, c: 4, e: 1}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 - -1182072155\nAnswer: 1182072154.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 30*q**2 + 89*q - 336. What is b(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v - 747 - 639 = 714 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {k: 2, e: 1, n: 4, d: 3, c: 3, q: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*i - 16, -4*i + 29 = 21*v - 18*v. Factor 1\/3*s**v + 25\/3 + 11\/3*s**2 + 35\/3*s.\nAnswer: (s + 1)*(s + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 9. Let c be m(-3). Suppose 5*f - 28 = 7*f. Let u(a) = a**2 + 15*a + 18. Let o be u(f). Solve -t - 5*k + o*k + 3 = c, 14 = 4*t + 3*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -4, -3, -8292.\nAnswer: -8292, -62, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does -0.039 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -22*l + 220. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25584 and 45092128?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 132468799*z. Let i(u) = -3*u. What is m(i(l))?\nAnswer: -397406397*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.482513 and 0.5?\nAnswer: 0.982513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwwwjbwbbdbdbwbbd. What is prob of picking 1 d, 1 j, and 2 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -48. Solve -3*s + p = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(22122\/180 + -123).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6*u - 7363594*l**6 - 2*l**2*u + 2201*l*u - 2*l + 273*u - 1 wrt l?\nAnswer: -240*l**3*u - 883631280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000859138432 to six decimal places.\nAnswer: -0.000859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * 0.4\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 44*k + 315. Let o be j(-7). Solve 0 = -2*z + 5*y + 20, -3 = -3*z - y - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**(-6\/11)*f*f)\/f)\/f)**19)**(-1) assuming f is positive.\nAnswer: f**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 4*d**3 - 2*d**3 + (d - 4*d + 4*d)*(4*d + 8*d - 3*d)*(-53*d + 15*d - 44*d) in the form f*d**2 + x*d**3 + y + m*d and give x.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1*11)\/1. Let j = 21 - 1. What is the remainder when j is divided by r + -3 - (0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = 4*a, -2*a + 6 = -2*p + 6*p. Let t(q) = -q**2 + 2*q. Let x be t(3). Let b = x - -4. Sort b, p, 3 in increasing order.\nAnswer: b, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l. Factor -5*a + 3*a - 2*a**2 + 3*a + l*a + a**3.\nAnswer: a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6414 divided by 8457?\nAnswer: -2138\/2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s**3 - 16*s**3 + 0*s**2 - 5*s**2 + (-7121885 + 7121885 - 148*s**2 - s)*(s - s + 2*s).\nAnswer: -295*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 49*y**3 - 6*y**2 - 28*y + 3. Let l(q) = -51*q**3 + 7*q**2 + 32*q - 3. Give -6*l(i) - 7*t(i).\nAnswer: -37*i**3 + 4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -80*a - 857. Give z(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27768 by -156.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.087 + 0.037. Let h be ((-1)\/4)\/((-13)\/8). Put h, w, -3 in descending order.\nAnswer: h, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 53 + 233*a**3 - 230*a**3 - 15*a - 52 to the form k*a**2 + m*a**3 + w + h*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/12 + m**2. Let i(t) = -2. Let p(b) = -b**2 - 3. Let j = 10 - 8. Let o(k) = j*p(k) - 3*i(k). Calculate w(o(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60726 and 16755?\nAnswer: 339154710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {n: 2, s: 4, p: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 118547*y**2 - 26678.\nAnswer: 237094*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202200121100 - 0?\nAnswer: -202200121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2566938 and 19\/48.\nAnswer: 20535504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132229, 132233, 132227, 132211, 132185?\nAnswer: 132149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1730 + -1729. Let b(l) = 12*l**2 + 16. Let o(m) = m**2 - 1. Calculate q*b(u) + 16*o(u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3203515 + 8.7?\nAnswer: 4.3796485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4110 (base 8) to base 16\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**3 + 9*d**3 + 10*d**3)*(1 - 1 + 2*d**2).\nAnswer: 58*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 21, 7*p - 9*p + 30 = -4*x. Let i(u) = 11*u**3 + 6*u**2 - 4*u. Let o(h) = 5*h**3 + 3*h**2 - 2*h. Give p*o(f) - 4*i(f).\nAnswer: f**3 + 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 7:51 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*v - 9225 = 206*v - 324*v for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107.56 + -2.44. Let h = d - -110.1. Let v be (8\/208)\/((-3)\/12). Put h, 2\/3, -3, v in decreasing order.\nAnswer: 2\/3, h, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32532, 32842, 33210, 33636, 34120?\nAnswer: 34662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7668, -105, 7.\nAnswer: -7668, -105, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10, 4*h - 6*h = f - 250. Let v be ((-3)\/(-12))\/((-12)\/f). What is the units digit of v - (-52 + 7 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5968 and 2797232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4641 - 4377. Calculate the highest common factor of 4092 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 - l + 5*l - 9*l - 1. Suppose 4*i + 3 = -9. Let t(g) = 4*g**2 - 3*g. Let y(k) = i*q(k) + 5*t(k). Differentiate y(f) with respect to f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 + 52*l**2 - 184*l + 128 = 0 for l.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)*c)\/c*c*c**(-4)*c\/(((c**(1\/15)*c)\/c)\/c)*c\/c**(-1))\/((c\/c**(-1\/3))**(2\/83)*c**7\/(c*c**(-3)*c)) assuming c is positive.\nAnswer: c**(-5021\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u)\/u)\/u*u*u**(-6))**(-16)\/(((u**(-1)\/u)\/u)**(-1\/5))**(-19) assuming u is positive.\nAnswer: u**(617\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -30, -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112387417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 587872.215us?\nAnswer: 0.0000009720109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -16. Suppose -q + n = q. Suppose 2*v + 5*v = 210. What is the highest common factor of v and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -80, -166, -326, -584, -964, -1490?\n\"Answer: -4*f**3 - f**2 - 5*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4916 divided by -8.\nAnswer: -1229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(5 + (sqrt(832) - (1*sqrt(832) + 2 + sqrt(832)) - (3 + sqrt(13) + sqrt(52) + 0))))**2.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68134*y**5 + 6*y**3 + 8933476*y**2.\nAnswer: -4088040*y**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -4*q, p = 6*p + 2*q + 38. Let s be (p\/20)\/((-12)\/15). Suppose -1\/2*z**4 + 0 - 3\/2*z**2 - 3\/2*z**3 - s*z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -1 (c) -5 (d) -19 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 0.01844.\nAnswer: 1.2908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1334786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1802\/209 - 96\/11. Suppose 85 = -3*g - 2*g. Let c = g + 18. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 + 2035*o**2 = 0.\nAnswer: -407, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16498 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073875549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.7 or -58.11?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/2100 and 85\/132.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*m + 383 - 598 - 590 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -155, -150, -143?\n\"Answer: f**2 - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254.239 - 138445.33.\nAnswer: -138699.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 2*u - 2*u + (u - u + u)*(4 - 2 - 3) + 0*u + 3*u - 5*u - 4*u + 0*u + 2*u - u + 2*u + u - u + 0*u + 3*u in the form y + w*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 110224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20800000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31394144.\nAnswer: 2, 981067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1512 + 5?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 4*d**5 + 611*d + 2*d**3 - 617*d + 0*d**4 - d**5 + 0*d**4 + (-6 + d**4 + 6)*(-3 + 3 + d) + 2*d**5 - 3*d**5 + 3*d**5.\nAnswer: 6*d**5 + 2*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-1 + sqrt(252))*-2 + 3 + 2)**2.\nAnswer: -360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9533 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2409228693 - -45979\nAnswer: 2409274672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*n**2 + 423\/4*n + 435 = 0 for n.\nAnswer: -4, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79218 < -79217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5917 + 5956. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*m - 66*m. Solve 20 = -m*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 372.918 to one decimal place.\nAnswer: 372.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2344 = -2*r, 4*f - r - 4580 = 123. What are the prime factors of f?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 7*q - 19 = -k, -4*q = 2*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceecec. What is prob of sequence ecec?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 5}. Give prob of sequence xq.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13591 - -13645. Solve -32*o + 41*o = w for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 3 + 9*v**3 - v**3 + 2*v**2 + 13*v - 10*v**3. What are the prime factors of x(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*o**2 + 715*o**2 - 4*o**3 + 6*o**3 - 8*o**3.\nAnswer: -6*o**3 + 839*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4)\/r)\/(r\/r**(-2\/3))*r*r*r\/(r*(r\/(r**3*r))\/r)*r**3*((r**3\/r)\/(r\/((r*r**(3\/7)\/r)\/r)))**0 assuming r is positive.\nAnswer: r**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779814 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/1150 + (-140)\/(-23) - -1801. Let l = -1058 + j. What are the prime factors of l?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269605 - 539207\/2. Suppose -28 - 48 = -4*u + 2*k, -4*u - 3*k + 86 = 0. What is the second smallest value in 1\/4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -88*w**2 + 318436*w + 130284 = 0.\nAnswer: -9\/22, 3619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1801241*j**5 - j**2 + 99620*j + 7 wrt j?\nAnswer: -108074460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 times -29267?\nAnswer: 15131039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/40 + 31*c**5\/60 - 7*c**4\/24 - 7*c**3\/3 + 59*c**2. Calculate the remainder when 110 is divided by t(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 - -381.8. Let u = -1.8 - 3.2. Which is the third biggest value? (a) -1 (b) 1\/2 (c) u (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*y + 187 = 95*y + 118*y - 209 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 60868 = -118*o + 116*o, -12*r = -o + 30359. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 599?\nAnswer: 9\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1\/7 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -222*q**2 + 5461*q - 33158. Determine n(11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279087?\nAnswer: 3, 41, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -705966404 or -705966405?\nAnswer: -705966405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*9\/6*-2. Suppose 3*a - 9 = 3*m, z = 3*a - 3*m - 2*m. Put a, -8, -2 in decreasing order.\nAnswer: a, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 14*a**2 + 36*a.\nAnswer: -2*a*(a - 9)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33127049 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let y(w) = -2*w + 9. Suppose 490*v + 1332 = 487*v. Let t = 443 + v. What is t*y(h) - 4*m(h)?\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s*u**4 + 3*s*u**2 + 9*u**3 + u**2 - 2 wrt u.\nAnswer: -72*s*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:53 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*x + 65*x + 3*l + 30, 0 = -3*x - 7*l - 54. Let r be 1*-2 - (-286)\/2. Calculate the highest common factor of r and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6245, -80 in increasing order.\nAnswer: -80, -3, 6245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344342129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.728 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 1 + 1)*(-3 + 3 - 2*r**3) - r**5 - 3*r**5 - r**5 + (3 - 2 + 0)*(-8 + 6*r**2 + r**5 - 6*r**2).\nAnswer: -6*r**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1749980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111 (base 2) in base 13?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-10))\/(3\/(-10)). Let n = 6 - b. Let i be -4*n\/(24\/51). Calculate the highest common factor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (35 - (-28 + 37))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3055*z - 1519*z - 1538*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*t**4 + 13*t**2 + 26*t**3 - 18*t + 12*t - 27*t**4.\nAnswer: t*(t + 1)*(t + 3)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117957, 235919, 353881, 471843?\n\"Answer: 117962*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 6282016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/3)*l**16)\/(l\/(l*l*l\/(l**26*l))*l**(1\/21)) assuming l is positive.\nAnswer: l**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844100 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/151 + 895\/1661. Let m be (-1)\/(-2) - (-4)\/(440\/(-7591)). Let a = 353\/5 + m. Calculate the common denominator of y and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 3*m**2 - 3*m + 1. Suppose 5*s - 3*h + 12 = 0, -2*s - h - 3 = -7. Suppose -3*j = 5*p - 12, s*p + 5*p - 4*j - 19 = 0. Give b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (4 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 21.543174.\nAnswer: -2.1543174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12390435, 12390458, 12390503, 12390576, 12390683?\nAnswer: 12390830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32810559.21 rounded to the nearest 100000?\nAnswer: -32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 5*c + 10 = -3*f, 2 = f + 3*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -396, -393, -388, -381?\n\"Answer: q**2 - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 8. Suppose 3*q - q - 36 = 0. What is the least common multiple of 2 + 3 + -3 - i and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91008090 is divided by 30336020.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -11 - (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - c - 6 + 2 = 0, -2*h = c + 1. Let z(b) = -3 + 4 - 2*b + 2 - 4. What is the remainder when 8 is divided by z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(-3 + sqrt(320) + sqrt(320) + -2 + sqrt(320) + sqrt(320) + 3))**2 + (sqrt(320)*1*-6 - (2 + sqrt(320))**2*4).\nAnswer: -3376*sqrt(5) + 126805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*q + 199, -199992*k + 199998*k = -q + 93 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/9 (b) 20 (c) -2\/147 (d) -1 (e) -0.6 (f) -0.2 (g) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(-1\/3)*h)\/h*h)*h))\/h*h)**(10\/9)*(h**(-1))**(-13) assuming h is positive.\nAnswer: h**(341\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -8 (c) 5 (d) 12 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26841965.\nAnswer: 5, 19, 29, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*g - 11*g - 9*g)*(-1359*g + 42*g**2 + 1359*g + (2 - 2 + 2*g)*(0*g - g + 0*g)) + g**2 + g**3 - g**2 in the form l + y*g**3 + z*g**2 + i*g and give y.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9\/11 (b) -29 (c) -1\/4 (d) -5 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-6) - (-16)\/48. Let n(o) = 6 - t*o + 1 - 7. Let b(s) = s**2. What is b(n(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.3? (a) 1 (b) 3 (c) -32 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*b + 4*q, -5 = b + q + 3*q. Suppose 2*p - 4 = -r - 1, -b*r + p + 2 = 0. Suppose -2*d + 3*d - 1 = 0. Is d > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2 + ((-30)\/(-18) - -2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644957661.\nAnswer: 3, 229, 938803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*a + 3 - 1 = 0, -5*r - a - 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-19 - -29) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7142 is divided by 1959?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1800.545 from -8.\nAnswer: -1808.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1110110000?\nAnswer: 1110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52241185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 4*t**2 + t + 1. Let n(o) = 7*o**3 + 24*o**2 + 11*o + 1. Give -6*h(p) + n(p).\nAnswer: p**3 + 5*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(10*j - 28*j + 17*j)*(3 - 1 - 6) as g*j + x and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a factor of 1443648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136398 or 136400?\nAnswer: 136400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -159236, -159230, -159224, -159218, -159212?\n\"Answer: 6*y - 159242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 2)*(-2*r + 2*r - 2*r) - 10*r + 2*r - 6*r + 3 - 3 + 5*r)*(0*r**2 - 6*r**2 + 4*r**2) in the form v*r**2 + y*r**3 + b + h*r and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21022102 - 10220001?\nAnswer: -102012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 77\/3 + 6\/18. Suppose 9*x - 4*x = -555. Let m = -59 - x. Calculate the greatest common factor of z and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/4 (c) -134 (d) 5 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 460158261 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910325846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 63 = 10*y - 9*y, 5*u - 185 = 3*y. What is the third derivative of -12*b - u*b**5 + 16*b - 3*b**2 + b + 2*b**2 wrt b?\nAnswer: -2040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10276 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*c**3 - 88 + 19*c**3 + 270 - 91 - 19*c - 2*c**2 - 88 in the form d*c**2 + u + s*c**3 + b*c and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(0 - -2) + -3. Let f(t) = 2*t**2 - 26*t - 3. Is f(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 103?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.012, -0.5, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102766 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let k be 1\/(-1) - (-4)\/4. Suppose 2*u + 3*u + 15 = k. Is 2 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.897 - 0.103. Let k = 221\/4 + -55. Put k, -1, q in increasing order.\nAnswer: q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 - -2)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 41. Suppose 2*k + i + 21 = 196, l*k = 3*i + 454. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let r(x) be the first derivative of -x**5\/20 + x**3\/2 - x**2 + 109*x + 36. Let u(i) be the first derivative of r(i). What is u(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwqwqwqwwqq. What is prob of sequence ww?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6527853 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c + 120. Let t be q(-4). Solve 19*w = 17*w - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48968, -48971, -48974?\n\"Answer: -3*n - 48965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - 2*h - 3)*(-13*h - 98 + 98)*(-h**2 + 6*h**2 - 4*h**2).\nAnswer: -13*h**4 + 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 33. Let x be ((-2)\/(-12))\/(q\/6). Let i(v) = 7*v**3 - 2*v**2 + v. What is the units digit of i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 3*v - 174, 5*b - 281 = -4*v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 8*u - 18. Let b be o(-2). Solve -3*c = 4*y + 2, -4*c + c = b*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 21, 4, -1, -15 in descending order.\nAnswer: 147, 21, 4, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 106 + 81 = -4*r, -5*r = -3*b + 110 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.174 from 0.03591.\nAnswer: 0.20991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-79)\/(-6) - (-3)\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*d + 33 - 7 = 0, -3*p + 22 = 2*d. Let x be (2\/(p + -4))\/(-1). Let t = 323 + -316. Sort x, t, 0 in increasing order.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -197, -388, -579, -770, -961?\n\"Answer: -191*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1353*u - 1931*u + 3782*u + 2340*u + 3343*u)*(0 - 3 - 4) to the form r*u + h and give r.\nAnswer: -62209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/240 - (-22)\/55. Let z(r) be the second derivative of 1\/2*r**3 + m*r**4 - r + 0 - r**2. Calculate z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 8, g: 2, r: 5}. What is prob of sequence eger?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 3*v. Suppose 3*d + 5*n = -22, -4*d - 2*n - 12 = -4*n. Sort 0.4, d, v in decreasing order.\nAnswer: 0.4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/3)\/2 + 2\/(-6). Suppose b*o + 2*o = 2*r - 56, -2*r - o = -80. List the prime factors of (3 + -1)*1729\/r.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -495 + 496. Which is smaller: -54 or b?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 614 and 420256.\nAnswer: 420870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbaa. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284 + 3503*a**3 + 494 - 208 + (1 - 1 + 2*a**3)*((-1 + 4 - 2)*(0 - 2 + 0) - 2 - 1 + 1) to g*a**2 + c + t*a + v*a**3 and give v.\nAnswer: 3495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 519915 not equal to 519913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 14. Let v be n(-6). Let q be (-1)\/(((-8)\/156)\/(v\/(-6))). Suppose -t + i = -6*t + 83, -2*t + 2*i + q = 0. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -13*v**5\/8 + 97*v**4\/48 - v**3\/3 - v**2\/2 + 20*v. Solve h(k) = 0.\nAnswer: -2\/13, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 + 2 = 3*u, j = -5*u + 8. Let a(m) = -16875*m**3 + m**2 + 7*m + 10. Let g be a(j). Round g to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 963.006 - -0.994. Let t = i - 980.64. Let h = t + 17. What is h rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14736100 a multiple of 1490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60629 divided by 331.\nAnswer: -60629\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbeliji. What is prob of sequence ili?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021307305 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -291, -297, -305, -315?\n\"Answer: -u**2 - 3*u - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 3*a - 8*a - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 404547.\nAnswer: 3236376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17 + 23 + 14*x**4 - 2*x**2 + 2*x**2 wrt x?\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 11234 - 1952. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 13*h - 96. What is the highest common divisor of h and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 390 + -366. Suppose 107*h**4 - 7*h**4 - c*h**2 - 400*h + 54 - 22 + 292*h**3 = 0. Calculate h.\nAnswer: -2, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 + 0)\/(38\/19). Let s = 1 + -2. Let z be 6 + (1 - s) + 1. Solve -6*j + 3*j = -4*c + o, -3*j = c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:07 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x**2 - 2*x**2 + 13*x**2)*(-22 + 6 - 10)*(-3 + 1 + 3 - 2*x) to the form u + b*x**2 + n*x**3 + z*x and give n.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 25. Calculate the remainder when 16 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47252431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l**2 - 2286 + 785 + 753 + 748.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from kkkkkcckkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -120. Let r = -932 + 934. Suppose g = r*m + 2*m. Solve 4*i = 4*t + 4, -i + 2 = -4*t - m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4*h**2 + 2*h)*(-1 - 6 + 4) + 2*h**2 + h - h + (4 - 4 + 4)*(h**2 - 14*h**2 + 35*h**2).\nAnswer: 102*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*d - 37 - 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 8*h + 4. Let a be b(8). Suppose 2 = -a*s + 10. Solve -2*n = 2*t + 4, -2*t = s*t + 5*n + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.039786 and -10200.\nAnswer: -10200.039786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123010 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 1\/3 (b) -45 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 3)*(2 - 2 - 3*r) + 2*r + 10 - 12 + 1 to l*r + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51045675113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -36. What is the highest common divisor of l and 1397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from yjcyjjmmjzjm.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488.737166 rounded to 0 dps?\nAnswer: -1489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*b + 71, 5*t - 3*b - 15 - 66 = 0. Let c = -11 + t. Solve z = -5*i - 4, c*i - z + 2*z = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 97968.68 weeks?\nAnswer: 987524294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55905\/454 < 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + 0. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.0648?\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -146. Let n be (-12)\/q + 3 - -4. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*k + 35*k + 24. Let u(l) be the second derivative of l**5\/10 - l**4\/3 - l**3\/3 + 3*l**2\/2 + 6*l. Does 5 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12446 and -0.23345.\nAnswer: -2905.5187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + -2.5. Suppose -f - f = 8. Let t(y) = -2*y**2 - 8*y - 1. Let h be t(f). Which is the nearest to h? (a) 3\/5 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6397*y - 262346. Give b(-41).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 - 7 = 0. Suppose -s - k = -88, -l*s + 0*s + 5*k = -197. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = o - 505, -3*z + z + 4*o - 320 = 0. Let q = 179 + z. What is the least common multiple of 30 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -10 + 15 + (-1 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17463 divided by -4664\nAnswer: 17463\/4664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 774, 3093, 6964, 12393, 19386, 27949, 38088, 49809?\n\"Answer: y**3 + 770*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 61. Let t be j(29). Solve t*o + 3*k = 12, -3*k - 2*k + 29 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567729 is divided by 3998.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*z**4\/9 - 46*z**3\/9 - 4*z**2\/3 = 0. Calculate z.\nAnswer: -6\/29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 9*i + 323. Does 5 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 10) + -14 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d + 6*d - 9968. Let p = -434 + d. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 6*w**2 - 8*w - 7. Let k(s) = s**3 + 24*s**2 + s + 17. Let o be k(-24). Determine i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/168500 and -19\/32.\nAnswer: 1348000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -27*a + 64. Let t be k(2). Put t, 5, 4, -1 in increasing order.\nAnswer: -1, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95521.\nAnswer: 59, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 4. Let j = -14 - -8. What is the remainder when k(j) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/47*(-28)\/(-8). Let v = n - -237\/329. What is the second biggest value in 5, 0, -14\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286815?\nAnswer: 3, 5, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1827181473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 691 + -587. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3193.8, 3\/5, -3, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 304*a - 430080.\nAnswer: (a - 672)*(a + 1280)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 31 = 5*q, 136*b + 69 = 52*b + 123*b + 5*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, -1, 5408 in descending order.\nAnswer: 5408, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*a - 956 = 5*i, 4*a = -5*i - 977. Let q = i - -197. Solve 3*t - q = r, 4*t - 1 = 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2052 and -0.325.\nAnswer: -0.5302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 345 - 342. Which is the closest to -0.73? (a) -0.1 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/7 (b) 0.061 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242 + 241.7. What is the closest to 3\/5 in m, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 2. Let u(z) be the first derivative of -z**2 - z - 18. Let p be (-1)\/(-5*1\/(-50)). Let x be -5*(3 + (-9)\/5). Determine p*u(w) + x*a(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194690528 to the nearest integer?\nAnswer: 13953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, m: 2, z: 6}. What is prob of picking 4 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26097183 rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - 2.5. Let x = o + 3. Let n = 40404 + -40403. Which is the third biggest value? (a) x (b) 1\/7 (c) n (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186073 = -77*s + 199466. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 115. Let p be a - 8\/(-4) - 27. Let y be (40\/p)\/((-4)\/30). Solve -6*w + 2*w = -y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 2837691 + 2836665 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t + 10176 = 10641 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1*g))**(4\/11))**(2\/97)\/((g*(g\/(g*g\/g**0))\/g)**(1\/36)\/(g*g*g**(-1\/14)*g**(-4))) assuming g is positive.\nAnswer: g**(-551521\/268884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123986840.\nAnswer: 2, 5, 443, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611483315 and 15970?\nAnswer: 7985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.10761664\nAnswer: -0.0043046656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70351, -140702, -211051, -281398, -351743, -422086, -492427?\nAnswer: -562766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrl when three letters picked without replacement from klhhiri.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413 - -416. Suppose 3*y - 4*b = 22, -4*b + 3*b = -t*y + 10. Solve 5*w + 4*d - y = -3, 0 = 5*d + 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let b be v(5). Suppose -40 = b*a - 0*a. What is the tens digit of 0\/(-3) + (0 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 388\/44 + (-2)\/(-11). Suppose 0 = 4*s - 7*s + r. Calculate the common denominator of -139\/6 and (s\/(-50))\/((-24)\/140).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 27*a + 285. Give w(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*s - 20, -5*o - 1744 + 1794 = -5*s for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(792\/108). Let j be 1\/(-3) + (2 - (-245)\/15). What is the nearest to 0 in r, j, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 4. Let l(p) = -7*p - 9. Let b(y) = -4*l(y) - 9*v(y). Let u(t) = -t + 2*t - 3*t. Give b(u(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208702 is divided by 7601.\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/24366 and 46\/20305.\nAnswer: 121830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2*i + 2. Let f be 10\/(-15) + 1\/(-3). Let v be f + (3 - -1) + -1. Let s = 6 - v. What is n(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10004778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -990, -2 in increasing order.\nAnswer: -990, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10. Let x = -0.9 + w. Let y = -3\/58 + 125\/174. What is the nearest to 1 in y, 3, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55865.5274 and 1901.\nAnswer: 57766.5274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 14*u - 12. Let q(t) be the third derivative of 0 - 1\/6*t**3 + 1\/60*t**5 - 1\/24*t**4 + 0*t + t**2. Let f = 42 + -30. What is f*q(v) - b(v)?\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -454*l**2*z - 14*l**2 - 309*l + 17*z wrt l?\nAnswer: -908*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 - 304. Suppose -y = s - 119. What is the greatest common factor of s and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:01 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/6 - 7. Factor y(z).\nAnswer: -2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/24 + 6*k**2. Let s(m) = -31*m. What is s(q(h))?\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17640)\/15750*10\/(-7)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -44. What is the highest common divisor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 10:22 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -12. Which is greater: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.709 rounded to one decimal place?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6219, -12408, -18597, -24786, -30975, -37164?\nAnswer: -43353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3567915\/203 + -17576. Is 0 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**2 + 97*m - 7. Let j be x(5). Sort 2, j, -75 in descending order.\nAnswer: j, 2, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 1224.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 35*n - 47*n. Let o be 11 - (11 - 4) - 5. Sort n, o, 3.\nAnswer: o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5547*l**3 + 61533*l**2 + 225504*l + 272484 = 0.\nAnswer: -174\/43, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 2. Suppose 2*u + u = 4*w + 7, 2*w - 4 = 0. Let j(a) = -6*a + 2. Give u*x(g) + 4*j(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y + 9. Let l be j(-7). Let m(c) = -c - 1. Let s be m(-7). Suppose s = 2*g - 24. Solve -p - l*p - g = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62199067 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*q - 163*q - 3 + 3*q**2.\nAnswer: 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 141\/5. Let g = 23.57 - 24.6. Let j = g - -0.83. Put x, -2\/3, -1\/3, j in decreasing order.\nAnswer: x, j, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -22. Suppose p - 3*r + f = -2, -40 = -4*p - 4*r. Solve 3*g - p = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 693.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88853.75 litres?\nAnswer: 88853750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.23693 millilitres to litres.\nAnswer: 0.06623693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**5 + x**4 + 5*x**3 + 7*x**2 - x + 1. Suppose 5*n = 8 + 2. Let a(z) = -z**5 + 4*z**3 + 6*z**2 - z. Let g(y) = n*j(y) - 3*a(y). Factor g(d).\nAnswer: (d - 1)**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:51 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*d - 34 = 3, -3*v = 5*d - 17. Solve 2*s - v = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1659874 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -627094, -627093, -627092?\nAnswer: -627091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -2\/3*n**3 + 308*n**5 - 5\/2*n**2 + 0 - n + 1\/12*n**4. Let c be b(5). What is c rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 6)*(-5*q + 3*q + q) - q - 1 + 1 - 3*q - 3*q + 3*q + 7 - 7 + 4*q)*((3 - 4 + 0)*(5*q - 2*q - 2*q) - 2*q + 1 - 1).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 8*z**7\/7 - z**3\/3 - 16. What is the third derivative of d(t) wrt t?\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*d**3*g*q**2 + 2*d**3*g*q - 2*d**3*q + 2*d**3 + 53*d**2*q**2 + d*g*q**2 + 2*g*q**2 wrt d?\nAnswer: 84*g*q**2 + 12*g*q - 12*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 2. Let x = 4 + h. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, 3, -21, -436, -4, -1 in descending order.\nAnswer: 4, 3, -1, -4, -21, -25, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 24, -3, 1422 in descending order.\nAnswer: 1422, 24, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/265? (a) -4 (b) -1 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305873686.\nAnswer: 2, 152936843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 1. Suppose -4*i = -9*i + 10. Let b be m(i). Solve -l - b = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffg when four letters picked without replacement from ggfgfggffgffgggfgffg.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*w + 31, -w = -4*u + 20 - 3. Suppose a - u*a = -2. Solve -5*c + 19 = -4*o - a, 2*c = 2*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/10 + 41*f**3\/5 + 1097*f**2\/10 + 1366*f\/5 + 858\/5 = 0. Calculate f.\nAnswer: -66, -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + ((sqrt(76) + sqrt(76)*-1*-4 + 0)*2*5)**2.\nAnswer: 189997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*4*(-25)\/10. Let f(y) = 343*y + 3. Let x be f(1). Suppose 2*m = 2*h + x, 8*h - 331 = -2*m + 5*h. Calculate the greatest common divisor of m and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*34*3\/2. Suppose 0*i + 2*i = r. Suppose -29 - 5 = -2*w + 5*s, -2*w + 58 = s. Calculate the remainder when i is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1309858 - 986726 = 0. Suppose -3*t = 188991 + q. Let c = -498173 - t. Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003259518 to the power of 1\/2, to the nearest integer?\nAnswer: 31674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 1739521?\nAnswer: -17395.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*t + 26 = -7, 3 = i - 2*t. Let x be (0 - i\/6)\/6. Which is the nearest to 0.2? (a) 0.5 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149\/7 or -0.08?\nAnswer: -149\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23224624.68 to the nearest one thousand.\nAnswer: 23225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31933 is divided by 863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 3*p**2 + 7*p**2)*(-247*p**2 + 802*p**2 + 23*p**2)*(0*p - 4*p + p).\nAnswer: -3468*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/22 (b) 78 (c) 1\/11 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7903 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckog when four letters picked without replacement from bobbggokckorbgc.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -5*n - 4*c, 4*c = n + 20. Solve n = -5*t + 5*b + 5, -5*t - 3*b + 7*b = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q + 1. Let x(a) = -a**2 - 2*a + 119. Let p(d) = 2*f(d) - x(d). Let j be p(0). Let l = -34 - j. Round l to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*88\/275*5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - x**2 - x + 1. What is the units digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -28b1?\nAnswer: 28a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 21. Let t(n) be the first derivative of -8\/33*n**3 - 8\/55*n**5 + m*n + 1\/11*n**2 + 1 + 1\/33*n**6 + 3\/11*n**4. Solve t(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1332 + 115?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.3. Let l = 0.01147 - 1.07497. Let a = l - -0.0635. What is the nearest to 0.2 in a, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-558)\/(-24)) - (-116)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 448\/5. Let h be 8\/(-12)*6\/(-5). Suppose -h*q**3 + r*q**2 + 0 + 0*q + 2\/5*q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b - 33. Let a be s(-3). Let k = -45.95 - -44. Let d = k - 0.05. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o*w**3 + 2*o + w**3 + 2*w + 10 wrt w.\nAnswer: -6*o*w**2 + 3*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmi when three letters picked without replacement from jmzzzjmjddjjjfdidjz.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17 + 56 = y, -2*y = 2. Let v = i - 8. Suppose h + v*h - 8 = 0. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {l: 2, v: 8, u: 4, r: 1, s: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82331?\nAnswer: 17, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/210 + b**6\/120 + b**5\/10 - b**4\/6 - 4*b**3\/3 - 8211*b**2. Factor u(k).\nAnswer: -(k - 2)**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116\/2 + 0\/9.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 31*h + 2*f = 352, -2*h + 377 = -3*f. What is the least common multiple of h and 9?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = -18. Let g be (y - 1)*1*-1. Let b = 16 - g. Solve -f + b = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2, -4*t + 66 = 3*g - 19. What is the remainder when 107 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 i when three letters picked without replacement from {i: 11, s: 1, t: 4, n: 1}.\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 2.4. Let w = s - -2. Let o = 0.2 + w. What is the third biggest value in o, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*u = 6, 6 = 4*u - u. Suppose -w + 80 - 1 = 5*t, v*t = -5*w + 27. What is the remainder when 29 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -1733357.\nAnswer: -1733362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(-9)\/(27\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3027, -2587, -2147, -1707?\n\"Answer: 440*j - 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.06, 2\/11, 0.5, 16.59?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -2.2. Let g = 0.4 + j. What is the closest to -1 in 5, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*l = -97*l. Solve l = -8*j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1138403 to three decimal places.\nAnswer: 2.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-1))\/(-8) - 2 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -2619003.\nAnswer: -13095015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2262527 or 2262526?\nAnswer: 2262527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*p - 25, -5*p - r + 5*r = -31. Suppose 9*g - 8484 = 3*g. Suppose -h + p*h = g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 174 = 0. Suppose -3*q - i - 77 = 0. What are the prime factors of 5*9*(-18)\/q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uxxuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -211?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -348861, -1395428, -3139705, -5581692, -8721389?\n\"Answer: -348855*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12989.548 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 11 - 32 = 0. Let t be -2*9\/(-6) + 0. Suppose -p + t = -g. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuhhhuhhhhhhhhhhhhh. What is prob of sequence hhu?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*z - 1357*z + 669*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 29. Let c(b) = -2*b**2 + 11*b**f - 8*b**2 - 2*b**2 + 1. Let q(j) = -7*j**2 + 4. Calculate -4*c(l) + q(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.1, -4\/3, -0.118, -4\/211?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 7*q + 5. Let c be k(4). Find the common denominator of (-39)\/22*(-152)\/c and 47\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8026079 is divided by 211212?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a factor of 232029738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -937.\nAnswer: -937.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.36348 rounded to three dps?\nAnswer: -2.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 + 44\/11. Suppose 0 = -h*n + 182 + 78. Calculate the least common multiple of n and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*t**3 - 21057*g*t**2 - 12*g*t + 9*t**3 - 571853*t wrt t.\nAnswer: 12*g*t - 42114*g + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2811671, 2811670, 2811669, 2811668, 2811667, 2811666?\n\"Answer: -c + 2811672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let k = 0.291 - 0.231. What is the third smallest value in d, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108624775 divided by -3504025\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y. Let i be ((-7)\/14)\/(3\/6). Let m(j) = -10*j**2 - 20*j. Determine i*m(b) - 20*v(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28454 is divided by 633?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8754481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*d = 1 - 46, 3*x - d - 35 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/2 + 109*y**3\/2 - 207*y**2\/2 - 745*y\/2 - 214 = 0.\nAnswer: -1, 4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 + 16 = 0. Suppose p - 6 = -j + n, -p = -1. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 9. Suppose -4*c + g*x + 35 = 8*x, -4*x = -12. Let d = c - -1. Solve 5*y = -d + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.225 - 0.225. What is the second smallest value in 0.3, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 15*a = -10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 42011.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(26\/(-4))*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 2 - 2 + 15*l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*8\/(-12)*2*18. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -25. Let d be (-2)\/3 + 236\/u. What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 26a2?\nAnswer: -26a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*u**3 - 2450*p*u**2 - 3*p*u - 137*p - u**3 + 2344*u**2 - 14*u + 11 wrt p?\nAnswer: -u**3 - 2450*u**2 - 3*u - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13.7. Let h = 0.9 - w. Which is the third biggest value? (a) -2\/9 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) + 1)*-2 + sqrt(468) + (sqrt(468) - (sqrt(468) - (sqrt(468) + 1)*1)**2 - sqrt(468)) + (1*(1 + sqrt(468)))**2.\nAnswer: 66*sqrt(13) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4130 + -1185. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 10*y)*(2 - 1 - 3)*(-3*y + 5*y + 0*y).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 14. Let r be x\/(-5)*35\/14. What is the third derivative of 5*o**4 - 3*o**2 + r*o**4 - 3*o**4 + o**2 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87011?\nAnswer: 87011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 - p + p**2 + 2*p + 3*p**4 + 2*p**2 + 3*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434450053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -107, -237, -419, -653, -939?\n\"Answer: -26*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**3*u**3 - 16*d**3*u + d**3 - 6*d*u - 2*u**3 - 1775 wrt d.\nAnswer: -72*d*u**3 - 96*d*u + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3514 + -3?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - y**4 - 2*y - y**4 - 2 + 5*y**3 as n*y**4 + l + c*y**2 + a*y**3 + d*y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5574746.7us to hours.\nAnswer: 0.00154854075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, 4, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -0.029, -0.4, 6\/7, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -60*z - 4213. What is n(-73)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/64)\/(-112 + 22). Let z(m) be the third derivative of u*m**6 + 6*m**2 - 1\/4*m**3 + 3*m - 5\/48*m**4 + 0 - 1\/120*m**5. Factor z(j).\nAnswer: (j - 3)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.19 (b) 1\/3 (c) 6\/5 (d) 1 (e) -0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 + (-5)\/(30\/(-456)) and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-7)*1*(-6 + 10))\/((-14)\/(-49))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 2)*(-6)\/(-4). Suppose 5*g - 2*w = w + 17, 3*g - 13 = -w. Is g at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*h - 31*h - 137*h)*(-1 + 3 - 4).\nAnswer: 396*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(175))*-1 + 4 + (-2 + sqrt(175) + 0 + sqrt(175))**2)*3.\nAnswer: -195*sqrt(7) + 2109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120527 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 3 - 3*w**2 + w**2 - 6*w**3 - 100*w + 91*w + 0*w**2 as l*w + z*w**4 + i + k*w**2 + o*w**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -5.9.\nAnswer: -129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 - 6*p - 1. Suppose -2*s + 2 = -c - 0, -c + s = 0. Let m(o) = -19*o - 299. Let k be m(-16). Let b = c + k. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g**2 + 2*g**3 - 7*g**4 + 8*g**2 - g**4 - 2*g + 6*g**4 as q*g**4 + y*g + m*g**3 + d*g**2 + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + -2230?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let q be m(2). Suppose -2*u + 3*f + 68 = q*u, -u + 2*f + 17 = 0. Solve 2 = -5*n + u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1530*c - 16. Let m(w) = -3061*w + 27. Calculate -3*m(v) - 5*x(v).\nAnswer: 1533*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 - 1 = -2*i, -w + 28 = 5*i. Calculate the remainder when 4\/(-8)*(0 + -38) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -29.\nAnswer: 49\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {k: 3, x: 4, p: 1, j: 5, f: 1, i: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22821000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*n - 3095, -4*n = -2*d - 2*d + 12396. List the prime factors of d.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 147.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, e: 4}. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-7)\/(-38)*((-55)\/77 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.012 - 0.012023. What is d rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13814, 27191, 40568, 53945, 67322?\n\"Answer: 13377*v + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/4333, -1716, 7 in decreasing order.\nAnswer: 7, -4\/4333, -1716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((5 - 7) + 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 6\/2 - -491. Let o = n + -349. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 61. Let g be n(6). Suppose -13*d - 132 = -16*d. Let b = d - 43. Solve b + 14 = -g*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 831?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 11*x + 14. Let k(w) = w**2 + 4*w - 5. Let m(z) = 11*k(z) + 4*s(z). Let f(h) = h**3 - h + 1. Let j(l) = f(l) - m(l). What is j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15*b - 1. Let y be (2\/12*-10)\/((-50)\/90). Calculate h(y).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 93 = 3*m, 0*a = -3*m + 2*a - 105. Let t be (4 + (3 - m))\/2. Solve 5*b + t = 4*z, -b - 20 = 5*z + 4*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 11*x = -455. Suppose 2*y - 4 = 0, -3*y + x = 2*f - 47. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1*2\/10). Put 22, w, -3, 3 in decreasing order.\nAnswer: 22, 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 3394, 7741, 13860, 21769, 31486, 43029?\nAnswer: 56416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -206\/5. Which is the closest to m? (a) -1\/3 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*w + 793*w - 319*w + 1451*w - 746*w.\nAnswer: 1786*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:05 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 1\/10*d**2 - 2\/5 = 0. What is d?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*h + 5 - 5 + 471*h - 196*h - 145*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/12 + 130\/6. Suppose 4*h + 0*h = 0. Suppose h*f = -3*f + 3*p + c, -3*f + 18 = -2*p. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -15, 962, -23 in ascending order.\nAnswer: -23, -15, -3, -2, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6754 + 29043.\nAnswer: 22289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 4 - 48 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + d + 7. What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52963.\nAnswer: 52963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 2. Suppose 3 = n - 8. Suppose 4*m - 2*m = 4*v - 24, -3*v - 2*m = -18. Let q(w) = v*w - 6 - 5*w + 5*w. Give n*k(b) + 4*q(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j - 5*j**4 + 9*j**4 + 3*j**4 + 2*j**4 wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-3 - 35)) + -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26966?\nAnswer: 2, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -57*i**3 + 20*i + 5 - 39*i + 15*i. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 206*b + 388. Let g(f) = -158*f - 291. Let a(h) = 13*g(h) + 10*u(h). Give a(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 4*b + 21, r + 3*b = -6. Suppose -p - 17 = l, r*l + 2*p + 0*p + 51 = 0. Let v = 26 + l. What is the greatest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -2, -0.03 in increasing order.\nAnswer: -2, -0.03, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3302571*x**5 + 42*x**4 + 6200287*x wrt x?\nAnswer: -66051420*x**3 + 504*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15023, 30106, 45201, 60314, 75451, 90618?\nAnswer: 105821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -118 + 13. Calculate the remainder when 16 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three fifths of a minute?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/15 + 36\/15. Let t be (z + (-27)\/12)\/(5\/(-120)). Let v be (4\/24)\/((-2)\/t). Which is the closest to 1? (a) v (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -93472*v**2 - 92*v. Let q(f) = 3015*f**2 + 3*f. What is -3*c(n) - 92*q(n)?\nAnswer: 3036*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -601 + 169. Suppose 28 = 32*a - l. Solve 2\/9*y - 1\/3 - 1\/9*y**4 - 2\/9*y**3 + 4\/9*y**a = 0 for y.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -1, -4, 16, 2 in ascending order.\nAnswer: -21, -4, -1, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k + 2911*k**3 - 106*k**3 - 1235*k**3 - 5*k - 622 wrt k.\nAnswer: 4710*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3454 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 418 (b) 274 (c) -2\/183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*p**2 - 3 + 33*p**2 - 66*p**2)*(-2*p + 2*p + 2*p).\nAnswer: 4*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 6. Let h be u(-10). Solve 0 = -h*p + 5*k - 9, -2 = -3*p - 2*k - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a - 515 = -17*a + 585 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -1075\/93?\nAnswer: -1075\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3420274 divided by 286?\nAnswer: -11959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -28*k**2 - 6*k - 1. Let v(x) = x**2 + x. Give o(f) + 4*v(f).\nAnswer: -24*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -782502 divided by -1\nAnswer: 782502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4885, -4891, -4897?\n\"Answer: -6*q - 4879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 13*y**2 - 24*y - 256. Let j be w(-13). What is the highest common divisor of j and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 96*g - 724. What is c(9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 0.36. Let c = -0.2 + k. Let l = 664.9 + -665.7. Put l, c, 3\/5 in decreasing order.\nAnswer: 3\/5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26007 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l = -5*k - 26*l + 4, -5*k + l = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose 0 = -4*a, -31 = -z*s + a + 37. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(228) + sqrt(228)*-2 + sqrt(228))*3)\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*b + 23, -b - 24 = -6*b + z. Suppose 5*v = 15, 2*l + 2*l - 37 = b*v. Calculate the remainder when 73 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 595*d**3 + 22*d**2 - 16*d - 29. Let f(x) = -198*x**3 - 7*x**2 + 5*x + 9. Determine -10*f(s) - 3*l(s).\nAnswer: 195*s**3 + 4*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 98199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:02 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/673573893 and -61\/3.\nAnswer: 673573893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*i - 233 = 2*k, -3*i = -5*k + 572. Suppose 57*y - 13*y + 103 + 117 = 0. Sort y, 5, k, 1 in ascending order.\nAnswer: y, 1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4629*z = 4339*z - 580 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -5905, 19, 1\/6, 1\/4?\nAnswer: -5905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*o**3 + 134*o**2 + 2*o + 16943825?\nAnswer: 1146*o + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -22486.\nAnswer: -112430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -62, -0.5, 4, 0.1, -3\/14 in ascending order.\nAnswer: -62, -0.5, -3\/14, 0, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*x + 22748 = 867*x for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 312952.\nAnswer: 312943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(8 - 12) + -6. Let t(z) = 2*z + z**3 - 6*z**2 + 0*z**3 + 2*z**2. Let m(k) = 5*k**3 - 21*k**2 + 11*k. Give b*m(v) + 11*t(v).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e24e (base 16) in base 4?\nAnswer: -1332021032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 4 - 20) + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -6*q - 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 10382*x**2 - 676228*x - 1394000.\nAnswer: -2*(x - 5125)*(x - 68)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {j: 1, i: 1, z: 1, f: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/80, -0.2, 0, 0.11, 77, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35733 times 761?\nAnswer: 27192813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*x - 4*u, 52*x - 87*x = -40*x + u + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -155\/6 (b) 431 (c) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17393 or 17392?\nAnswer: 17392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5624*k**6*q - 349*k**2*q - 3*k**2 - 2*q + 2 wrt k?\nAnswer: 674880*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 2*o**2 + 3*o**2 + 8*o + 5. Determine t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 225 + 843 = 0. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 11)*(-w**4 - 4*w**4 + 4*w**4) - 6 + w**4 + 6 + (-w**2 - w**2 - w**2)*(w**2 + 0*w + 0*w) as s*w**3 + v*w + b + z*w**4 + x*w**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11660674 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 + r + 1. Let l(g) = g**3 + 7*g**2 - 10*g - 4. Let x be l(-8). Suppose 5*n = -2*b + 24, 0*b - 4*n + x = -2*b. What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000353615 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + (-2)\/6. Suppose -k - k + 16 = c. Suppose -2*u = -y - 41, -y = -5*u + 4*y + 105. Calculate the highest common factor of u and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Let s be (10 - l)*(-9)\/15. Let y(j) = -j**3 - j**2 + 4*j + 1. Give y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:55 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l. Let a = -486 - -489. Determine s(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1056*u**2. Let d(p) = 46*p - 1. Calculate d(q(i)).\nAnswer: 48576*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 3. Let b(c) be the second derivative of 0*c**4 - 1\/35*c**5 + 1\/21*c**d + 0*c**2 + 0*c**6 + 2*c + 0 + 1\/147*c**7. What is a in b(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let p be g + -12*2\/(-9). Let t = -3 + 2. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 1696*u - 1702*u + 33 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 4.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 + 5*l. Let r be t(-5). Suppose -8*z - 7 + 359 = r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.17475m in centimeters?\nAnswer: 5217.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, and 1 s when three letters picked without replacement from wtsjjyd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366 by 122.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(1\/4)))\/(z**(4\/3)\/z*z))\/(z**(-1))**(-24))\/(z*z**0\/z*(z*z**(-2))\/z)**(-11\/4) assuming z is positive.\nAnswer: z**(-367\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349 - -607. Suppose -5*t + 436 + 264 = -k, 4*k - p = -2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 2*q. Suppose 0 = -v - q*k + 3*k + 22, -v + 5*k = -32. Suppose 5*g + 202 = v*g. What are the prime factors of g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893086729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-91)\/((-4914)\/36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -94, -0.2, 0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*u = -120*u + 5*i + 43, 61 = 4*u - 5*i. Solve -3*t - 2*h - u = -2, -2 = 3*t + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190658 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(4 + 54\/(-21)). Let u(x) = 7*x - 6. Let i be u(c). Suppose 6*b = 4*b + i. What is the highest common divisor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26435 - -a?\nAnswer: 26441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59931614.\nAnswer: 2, 29965807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-12)\/4)\/1. Solve i*g + 2*b + 4 = -0*g, -3*b - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257617 is divided by 10890?\nAnswer: 7147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + (95 - -1) + (-128 - -77 - -68)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1142*k**3*s + 583*k**3 - 426*k**2*s + 132*s - 13 wrt k.\nAnswer: 6852*s + 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 11*r**5\/60 + 7*r**4\/24 - r**3 + 6*r**2. Let q be -10*11\/(385\/(-14)). What is the tens digit of v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 32*m + 17. Let w be l(-16). Suppose 14*s - 3470 = 2480. What is the highest common factor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2 + 11803165*n + 59015700 = 0.\nAnswer: -2360628, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7225, -28925, -65187, -116089, -181709?\nAnswer: -262125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.48205456 + -1.4818. What is y rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -137 - (-80 - -17).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 618697 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {p: 1, k: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + 3*g - 4. Let p be f(-3). Put p, 0, 2 in decreasing order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 + 22 - (88 + -24)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 521 * 8170\nAnswer: 4256570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 32004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*i**2 + 16*i - 16*i)*(0 - 8 + 4)*(-4*i - i + 2*i).\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(44)\/sqrt(4)*1))\/(sqrt(99)\/(2*sqrt(81))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**4\/8 - 351*f**3\/8 + 157359*f**2\/2 + 2218167*f\/2 = 0.\nAnswer: -514, -14, 0, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -2*m. Let b be (1*(6 + m))\/(-2). Let a(f) = -5*f - 2. Let r be a(b). Solve 4 = -r*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 28*i - 32. Let u(h) = h - 1. Let a(l) = k(l) - 24*u(l). What is the first derivative of a(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 80 (c) 2.1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-5*(sqrt(539) + 1)*4 - -5*(-5 + sqrt(539)*-2))**2.\nAnswer: 170100*sqrt(11) + 4384125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.669 - 2.869. Which is the closest to -4? (a) h (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/((-2 + 1)\/3). Let z(p) = 3*p**2 + 117*p + 848. Let n be z(-31). Calculate the greatest common divisor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*m - 18, -2*x + 26 = -3*x - 5*m. Let p be (-4 + 1)\/(x + (-33)\/(-6)). What is the fourth biggest value in 2\/9, 0, -3\/2, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2993 at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 - 23\/(-5). Suppose -q + 8 = -o - 0, 2*o = d*q - 31. Suppose 103*p - 285*p = 728. What is the second smallest value in -1, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6650 - -9409. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5489949195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -5*v + 32, -128*v - a = -130*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.844 and -7.2.\nAnswer: -85.2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -61?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.045 + 199.045. Let y = -198 + x. Let d be (-57)\/(-30) - (-4)\/(-10). Which is the nearest to 1\/4? (a) y (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -11, 5, -2\/65, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -115752 divided by -168?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 336, 334, 332, 330?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -7230 - 9882. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 + 6*m - 36 - 8901*m**3 - 737*m**2 + 727*m**3 + 741*m**2 - 10*m wrt m?\nAnswer: -49044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*53634\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/275352 and 109\/275352.\nAnswer: 275352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705340365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let y(t) = -19*t**2 - 2*t + 1. Let g(a) = 5*r(a) - y(a). Does 19 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84) - sqrt(84)*1*2))\/(sqrt(1728)*1*-1) + 2)**2.\nAnswer: -sqrt(7)\/3 + 583\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -39. Suppose p*a = 16*a - 10. Suppose -a*o + 220 = -0*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 0 - 1 - 9*w**3.\nAnswer: -9*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.5 + -15. Let r = -2.95 + -0.05. Let z = 0 + 0.2. What is the third biggest value in h, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(q**3 - 2*q**3 + 0*q**3) - q**2 - q**3 + q**2 - 3*q**3 + q**3 - 2*q**3 + 0 + q**3 + 0 to g*q**3 + p*q**2 + w*q + n and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 8) to base 5.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/17, 1.546, 0.1?\nAnswer: 1.546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 45\/26, 29\/4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 - (-208)\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzmm when four letters picked without replacement from {z: 4, m: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294124, 588195, 882216, 1176187, 1470108, 1763979, 2057800?\nAnswer: 2351571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001853632 rounded to seven decimal places?\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 446 or -142?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 679 + -299. What is the greatest common divisor of 76 and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280, -291, -310, -337, -372, -415?\n\"Answer: -4*p**2 + p - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 846.\nAnswer: 1\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0931 + 0.0931. Let t = -7\/45 - -2\/45. Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 - 7*n**3\/2 - 25*n**2 - 129*n. What is the derivative of l(q) wrt q?\nAnswer: -2*q - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17a09 (base 11) to base 16\nAnswer: 6259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 3 + (-4 + 2 - 1)*(2 - 4 + 1) - 5 + 1 + 1 + 6 - 5 + 1)*(-2*l + 4*l + 0*l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 18821 = 2*o, 4*o - 15*s + 14*s = 37651. List the prime factors of o.\nAnswer: 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170 - -173. Suppose f - o - k + 1 = 0, 3*f = 4*o + 7. Which is the nearest to 3? (a) -4\/5 (b) -2\/17 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 13*r**2 - 14*r - 1. Let t be v(-14). Let f(i) = 111*i**2 - 1. What is the hundreds digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*k = -169, -4*q + 634 = -2*k - 42. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*h + 18 = 0, 54870 = 4*p + 5*h. List the prime factors of p.\nAnswer: 2, 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 - 2*d + 3. Suppose -4*m + 5 + 0 = 3*i, 5*m + 3*i = 7. What is q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}